Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
314 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 15. #16839565 | C4 | semidirect |
| 150. C61 | #13154 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839577 | 2 |
| #21447538 | 2 |
| C2×#16839540 | 2 |
| #21446690 | 2 |
| #21443924 | 2 |
| #21443919 | 2 |
| C61×#1946 | 2 |
| #13154 | 61 |