Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
350 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 9. #16840166 | C4 | semidirect |
| 10. #16840140 | C4 | semidirect |
| 14. Q16×Dic61 | C4 | semidirect |
| 15. #16839856 | C4 | semidirect |
| 183. C61 | #11743 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456400 | 2 |
| #21447615 | 2 |
| #21445711 | 2 |
| #21443832 | 2 |
| #21443831 | 2 |
| #21443830 | 2 |
| C61×#1348 | 2 |
| #11743 | 61 |