Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
292 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 14. #16837231 | C4 | semidirect |
| 15. #16837224 | C4 | semidirect |
| 16. #16837179 | C4 | semidirect |
| 130. C59 | #12678 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21425890 | 2 |
| #21425868 | 2 |
| C2×#16837179 | 2 |
| #21424004 | 2 |
| #21423982 | 2 |
| #21422208 | 2 |
| C59×#1389 | 2 |
| #12678 | 59 |