Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
338 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 338 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 |
|---|---|---|
| 15. #16837150 | C4 | semidirect |
| 16. #16837147 | C4 | semidirect |
| 161. C59 | #9579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21425073 | 2 |
| #21422866 | 2 |
| #21422754 | 2 |
| #21422498 | 2 |
| #21421993 | 2 |
| #21421929 | 2 |
| C4×C4⋊C8×C59 | 2 |
| #9579 | 59 |