Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
464 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 2. #21433183 | C2 | semidirect |
| 4. #21422544 | C2 | semidirect |
| 6. #21421966 | C2 | semidirect |
| 7. C59×#1283 | C2 | semidirect |
| 210. #1283 | D59 | semidirect |
| 242. C59 | #9244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837625 | 2 |
| #21433183 | 2 |
| #21422693 | 2 |
| #21422544 | 2 |
| #21422447 | 2 |
| #21421966 | 2 |
| C59×#1283 | 2 |
| #9244 | 59 |