Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
430 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 118 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 113. #92420 | #101 | semidirect |
| 159. C61 | #8165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840811 | 2 |
| #21461572 | 2 |
| #21461030 | 2 |
| #21460663 | 2 |
| #21444141 | 2 |
| #8165 | 61 |