Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. #21447614 | C2 | semidirect |
| 4. #21446573 | C2 | semidirect |
| 5. #21443935 | C2 | semidirect |
| 6. #21443902 | C2 | semidirect |
| 23. C61×#360 | C4 | semidirect |
| 164. #360 | Dic61 | semidirect |
| 167. C61 | #12944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839884 | 2 |
| #21447614 | 2 |
| #21447547 | 2 |
| #21446573 | 2 |
| #21443935 | 2 |
| #21443902 | 2 |
| C61×#2145 | 2 |
| #12944 | 61 |