Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
458 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 2. #21433186 | C2 | semidirect |
| 3. #21423927 | C2 | semidirect |
| 5. #21421995 | C2 | semidirect |
| 6. #21421951 | C2 | semidirect |
| 10. #16837694 | C4 | semidirect |
| 11. #16837694 | C4 | semidirect |
| 12. #16837599 | C4 | semidirect |
| 13. #16837599 | C4 | semidirect |
| 236. C59 | #9164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434214 | 2 |
| #21433186 | 2 |
| #21423927 | 2 |
| #21422591 | 2 |
| #21421995 | 2 |
| #21421951 | 2 |
| C59×#1530 | 2 |
| #9164 | 59 |