Group-subgroup graph F m m m (69) > F m m 2 (42) Help

Lattice of maximal subgroups

Subgroups of F m m m involved in the graph (graph nodes)

F m m m Maximal subgroups
  • [2] F m m 2
  • [2] C m m a
  • [2] C m m m
  • [2] C m c m
  • [3] F m m m
  • [5] F m m m
  • [7] F m m m
Minimal supergroups
  • [2] P m m m
  • [3] F m m m
P m m 2 Maximal subgroups
  • [2] P m m 2
  • [2] A m m 2
  • [2] C m m 2
  • [2] F m m 2
  • [3] P m m 2
  • [5] P m m 2
  • [7] P m m 2
Minimal supergroups
  • [2] P m m m
  • [2] P m m a
  • [2] P m m n
  • [2] C m m 2
  • [2] A m m 2
  • [2] I m m 2
  • [3] P m m 2
  • [2] P m m 2
C m m 2 Maximal subgroups
  • [2] P m m 2
  • [2] I m m 2
  • [2] C m m 2
  • [3] C m m 2
  • [5] C m m 2
  • [7] C m m 2
Minimal supergroups
  • [2] C m m m
  • [2] C m m e
  • [2] F m m 2
  • [2] P m m 2
  • [3] C m m 2
  • [2] C m m 2
A m m 2 Maximal subgroups
  • [2] P m m 2
  • [2] I m m 2
  • [2] A m m 2
  • [3] A m m 2
  • [5] A m m 2
  • [7] A m m 2
Minimal supergroups
  • [2] C m c m
  • [2] C m m m
  • [2] F m m 2
  • [2] P m m 2
  • [3] A m m 2
  • [2] A m m 2
I m m 2 Maximal subgroups
  • [2] P m m 2
  • [3] I m m 2
  • [5] I m m 2
  • [7] I m m 2
Minimal supergroups
  • [2] I m m m
  • [2] I m m a
  • [2] C m m 2
  • [2] A m m 2
  • [3] I m m 2
P m m m Maximal subgroups
  • [2] P m m 2
  • [2] P m m a
  • [2] P m m m
  • [2] C m m a
  • [2] C m m m
  • [2] F m m m
  • [3] P m m m
  • [5] P m m m
  • [7] P m m m
Minimal supergroups
  • [2] C m m m
  • [2] I m m m
  • [3] P m m m
  • [2] P m m m
P m m a Maximal subgroups
  • [2] P m m 2
  • [2] P m m n
  • [2] P m m a
  • [2] C m c m
  • [3] P m m a
  • [5] P m m a
  • [7] P m m a
Minimal supergroups
  • [2] C m c m
  • [2] C m m m
  • [2] C m m e
  • [2] I m m a
  • [2] P m m m
  • [3] P m m a
  • [2] P m m a
P m m n Maximal subgroups
  • [2] P m m 2
  • [2] P m m n
  • [3] P m m n
  • [5] P m m n
  • [7] P m m n
Minimal supergroups
  • [2] C m c m
  • [2] C m m m
  • [2] I m m m
  • [2] P m m a
  • [3] P m m n
  • [2] P m m n
C m c m Maximal subgroups
  • [2] A m m 2
  • [2] P m m n
  • [2] P m m a
  • [3] C m c m
  • [5] C m c m
  • [7] C m c m
Minimal supergroups
  • [2] F m m m
  • [2] P m m a
  • [2] C m m m
  • [3] C m c m
C m m m Maximal subgroups
  • [2] A m m 2
  • [2] C m m 2
  • [2] P m m n
  • [2] P m m a
  • [2] P m m m
  • [2] C m m m
  • [2] C m c m
  • [2] I m m a
  • [2] I m m m
  • [3] C m m m
  • [5] C m m m
  • [7] C m m m
Minimal supergroups
  • [2] F m m m
  • [2] P m m m
  • [3] C m m m
  • [2] C m m m
C m m a Maximal subgroups
  • [2] C m m 2
  • [2] P m m a
  • [2] C m m a
  • [2] I m m a
  • [3] C m m a
  • [5] C m m e
  • [7] C m m e
Minimal supergroups
  • [2] F m m m
  • [2] P m m m
  • [3] C m m e
  • [2] C m m e
I m m m Maximal subgroups
  • [2] I m m 2
  • [2] P m m n
  • [2] P m m m
  • [3] I m m m
  • [5] I m m m
  • [7] I m m m
Minimal supergroups
  • [2] C m m m
  • [3] I m m m
I m m a Maximal subgroups
  • [2] I m m 2
  • [2] P m m a
  • [3] I m m a
  • [5] I m m a
  • [7] I m m a
Minimal supergroups
  • [2] C m m m
  • [2] C m m e
  • [3] I m m a
F m m 2 Maximal subgroups
  • [2] A m m 2
  • [2] C m m 2
  • [3] F m m 2
  • [5] F m m 2
  • [7] F m m 2
Minimal supergroups
  • [2] F m m m
  • [2] P m m 2
  • [3] F m m 2

Group-maximal subgroup pairs (graph edges)

F m m m t [2] F m m 2
F m m m k [2] C m m a
F m m m k [2] C m m m
F m m m k [2] C m c m
F m m m k [3] F m m m
F m m m k [5] F m m m
F m m m k [7] F m m m
P m m 2 k [2] P m m 2
P m m 2 k [2] A m m 2
P m m 2 k [2] C m m 2
P m m 2 k [2] F m m 2
P m m 2 k [3] P m m 2
P m m 2 k [5] P m m 2
P m m 2 k [7] P m m 2
C m m 2 k [2] P m m 2
C m m 2 k [2] I m m 2
C m m 2 k [2] C m m 2
C m m 2 k [3] C m m 2
C m m 2 k [5] C m m 2
C m m 2 k [7] C m m 2
A m m 2 k [2] P m m 2
A m m 2 k [2] I m m 2
A m m 2 k [2] A m m 2
A m m 2 k [3] A m m 2
A m m 2 k [5] A m m 2
A m m 2 k [7] A m m 2
I m m 2 k [2] P m m 2
I m m 2 k [3] I m m 2
I m m 2 k [5] I m m 2
I m m 2 k [7] I m m 2
P m m m t [2] P m m 2
P m m m k [2] P m m a
P m m m k [2] P m m m
P m m m k [2] C m m a
P m m m k [2] C m m m
P m m m k [2] F m m m
P m m m k [3] P m m m
P m m m k [5] P m m m
P m m m k [7] P m m m
P m m a t [2] P m m 2
P m m a k [2] P m m n
P m m a k [2] P m m a
P m m a k [2] C m c m
P m m a k [3] P m m a
P m m a k [5] P m m a
P m m a k [7] P m m a
P m m n t [2] P m m 2
P m m n k [2] P m m n
P m m n k [3] P m m n
P m m n k [5] P m m n
P m m n k [7] P m m n
C m c m t [2] A m m 2
C m c m k [2] P m m n
C m c m k [2] P m m a
C m c m k [3] C m c m
C m c m k [5] C m c m
C m c m k [7] C m c m
C m m m t [2] A m m 2
C m m m t [2] C m m 2
C m m m k [2] P m m n
C m m m k [2] P m m a
C m m m k [2] P m m m
C m m m k [2] C m m m
C m m m k [2] C m c m
C m m m k [2] I m m a
C m m m k [2] I m m m
C m m m k [3] C m m m
C m m m k [5] C m m m
C m m m k [7] C m m m
C m m a t [2] C m m 2
C m m a k [2] P m m a
C m m a k [2] C m m a
C m m a k [2] I m m a
C m m a k [3] C m m a
C m m a k [5] C m m a
C m m a k [7] C m m a
I m m m t [2] I m m 2
I m m m k [2] P m m n
I m m m k [2] P m m m
I m m m k [3] I m m m
I m m m k [5] I m m m
I m m m k [7] I m m m
I m m a t [2] I m m 2
I m m a k [2] P m m a
I m m a k [3] I m m a
I m m a k [5] I m m a
I m m a k [7] I m m a
F m m 2 k [2] A m m 2
F m m 2 k [2] C m m 2
F m m 2 k [3] F m m 2
F m m 2 k [5] F m m 2
F m m 2 k [7] F m m 2