Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
530 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. #21422617 | C2 | semidirect |
| 4. #21421950 | C2 | semidirect |
| 8. #16837332 | C4 | semidirect |
| 10. #16837327 | C4 | semidirect |
| 11. #16837322 | C4 | semidirect |
| 13. #16837314 | C4 | semidirect |
| 209. C59 | #9184 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21430013 | 2 |
| C4×#14273642 | 2 |
| #21422617 | 2 |
| #21421950 | 2 |
| C59×#2975 | 2 |
| #9184 | 59 |