Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
326 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 23. #16839510 | C4 | semidirect |
| 24. #16839510 | C4 | semidirect |
| 25. #16839508 | C4 | semidirect |
| 26. C61×#332 | C4 | semidirect |
| 179. #332 | #6923 | semidirect |
| 182. C61 | #9584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462004 | 2 |
| #21461606 | 2 |
| #21461389 | 2 |
| #21461128 | 2 |
| #21460711 | 2 |
| #21460646 | 2 |
| #21444475 | 2 |
| #9584 | 61 |