Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
356 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 356 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 |
|---|---|---|
| 17. #16837148 | C4 | semidirect |
| 18. #16837148 | C4 | semidirect |
| 19. #16837148 | C4 | semidirect |
| 20. #16837148 | C4 | semidirect |
| 178. C59 | #8936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21425074 | 2 |
| #21422884 | 2 |
| #21422761 | 2 |
| #21421928 | 2 |
| C59×#2986 | 2 |
| #8936 | 59 |