Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
418 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 7. #16837807 | C4 | semidirect |
| 8. #16837782 | C4 | semidirect |
| 9. #16837753 | C4 | semidirect |
| 155. C59 | #9763 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434682 | 2 |
| #21422859 | 2 |
| #21422710 | 2 |
| #21422607 | 2 |
| C59×#1726 | 2 |
| #9763 | 59 |