Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
366 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 132 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 |
|---|---|---|
| 6. #16840626 | C4 | semidirect |
| 7. #16840624 | C4 | semidirect |
| 113. C61 | #8269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461368 | 2 |
| #21461032 | 2 |
| #21460647 | 2 |
| #97×Dic61 | 2 |
| #8269 | 61 |