Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
572 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 1. #21432089 | C2 | semidirect |
| 3. #21422223 | C2 | semidirect |
| 4. #21422222 | C2 | semidirect |
| 38. 2−1+4×C59 | Q8 | semidirect |
| 186. C59 | #13378 | semidirect |
| 190. 2−1+4 | Dic118 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21432089 | 2 |
| #21424055 | 2 |
| #21422223 | 2 |
| #21422222 | 2 |
| C59×#1793 | 2 |
| #13378 | 59 |