Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
484 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 97 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. #21435046 | C2 | semidirect |
| 4. #21425069 | C2 | semidirect |
| 5. #21422661 | C2 | semidirect |
| 7. C59×#1281 | C2 | semidirect |
| 180. #1281 | D59 | semidirect |
| 210. C59 | #10223 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21435226 | 2 |
| #21435046 | 2 |
| #21434442 | 2 |
| #21425069 | 2 |
| #21422661 | 2 |
| #21422657 | 2 |
| C59×#1281 | 2 |
| #10223 | 59 |