Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
442 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 109. C8×C61 | #101 | semidirect |
| 111. #92418 | #101 | semidirect |
| 154. C61 | #9799 | semidirect |
| 242. C8 | #14519838 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461962 | 2 |
| #21461376 | 2 |
| #21461328 | 2 |
| C8×#11758217 | 2 |
| C2×#16840166 | 2 |
| #9799 | 61 |