Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
492 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #21425039 | C2 | semidirect |
| 4. #21422609 | C2 | semidirect |
| 6. #21421988 | C2 | semidirect |
| 7. C59×#1285 | C2 | semidirect |
| 11. #16837683 | C4 | semidirect |
| 12. #16837608 | C4 | semidirect |
| 182. #1285 | D59 | semidirect |
| 210. C59 | #9327 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434196 | 2 |
| #21426734 | 2 |
| #21425039 | 2 |
| #21422609 | 2 |
| #21422538 | 2 |
| #21421988 | 2 |
| C59×#1285 | 2 |
| #9327 | 59 |