Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
278 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 4. #21424220 | C2 | semidirect |
| 5. #21422198 | C2 | semidirect |
| 6. #21422192 | C2 | semidirect |
| 7. C59×#1379 | C2 | semidirect |
| 138. #1379 | D59 | semidirect |
| 159. C59 | #13489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21425846 | 2 |
| #21425804 | 2 |
| #21424994 | 2 |
| #21424220 | 2 |
| #21422198 | 2 |
| #21422192 | 2 |
| C59×#1379 | 2 |
| #13489 | 59 |