Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
604 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 604 conjugacy classes of subgroups — too many to draw. Only its 151 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. #16837425 | C4 | semidirect |
| 11. M16×Dic59 | C4 | semidirect |
| 12. #16837269 | C4 | semidirect |
| 13. #16837266 | C4 | semidirect |
| 151. C59 | #8050 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21432725 | 2 |
| #21426490 | 2 |
| #21421982 | 2 |
| #21421981 | 2 |
| C59×#1297 | 2 |
| #8050 | 59 |