Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
658 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 658 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 |
|---|---|---|
| 1. C2×#16837735 | C2 | semidirect |
| 5. #21422363 | C2 | semidirect |
| 6. #21421938 | C2 | semidirect |
| 7. C2×C59×#328 | C2 | semidirect |
| 222. C2×#328 | D59 | semidirect |
| 258. C59 | #9969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837735 | 2 |
| C2×#16837721 | 2 |
| #21430030 | 2 |
| C2×#16837135 | 2 |
| #21422363 | 2 |
| #21421938 | 2 |
| C2×C59×#328 | 2 |
| #9969 | 59 |