Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
380 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 9. #16837798 | C4 | semidirect |
| 10. #16837781 | C4 | semidirect |
| 11. #16837754 | C4 | semidirect |
| 12. #16837752 | C4 | semidirect |
| 174. C59 | #9416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434837 | 2 |
| #21433202 | 2 |
| #21422733 | 2 |
| #21422646 | 2 |
| #21421967 | 2 |
| #21421960 | 2 |
| C59×#1515 | 2 |
| #9416 | 59 |