Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
444 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 10. #16837684 | C4 | semidirect |
| 11. #16837609 | C4 | semidirect |
| 198. C59 | #9328 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434222 | 2 |
| #21426742 | 2 |
| #21422608 | 2 |
| #21422544 | 2 |
| #21421990 | 2 |
| #21421952 | 2 |
| C59×#1986 | 2 |
| #9328 | 59 |