Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
436 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 6. C22×Dic236 | C4 | semidirect |
| 13. #16837440 | C4 | semidirect |
| 14. #16837412 | C4 | semidirect |
| 184. C59 | #13230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21433751 | 2 |
| #21425770 | 2 |
| #21425751 | 2 |
| #21424142 | 2 |
| C59×#1757 | 2 |
| #13230 | 59 |