Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1166 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 1166 conjugacy classes of subgroups — too many to draw. Only its 251 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 |
|---|---|---|
| 4. #21445814 | C2 | semidirect |
| 6. #21445614 | C2 | semidirect |
| 150. C61 | #20730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840239 | 2 |
| #21454454 | 2 |
| #21445902 | 2 |
| #21445814 | 2 |
| #21445742 | 2 |
| #21445614 | 2 |
| C61×#1822 | 2 |
| #20730 | 61 |