Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
464 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 16. #16837200 | C4 | semidirect |
| 161. C59 | #12631 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21426814 | 2 |
| C2×#16837200 | 2 |
| #101×Dic59 | 2 |
| #21422223 | 2 |
| C59×#1394 | 2 |
| #12631 | 59 |