Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
350 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 10. #16837529 | C4 | semidirect |
| 12. #16837526 | C4 | semidirect |
| 176. C59 | #8679 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21433026 | 2 |
| #21424226 | 2 |
| #21422842 | 2 |
| #21422661 | 2 |
| #21422659 | 2 |
| #21421956 | 2 |
| C59×#1286 | 2 |
| #8679 | 59 |