Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
520 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 89 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. #21427264 | C2 | semidirect |
| 4. #21422617 | C2 | semidirect |
| 5. #21422001 | C2 | semidirect |
| 6. #21421948 | C2 | semidirect |
| 9. #16837737 | C4 | semidirect |
| 12. #16837553 | C4 | semidirect |
| 259. C59 | #9344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434902 | 2 |
| #21427264 | 2 |
| #21424933 | 2 |
| #21422617 | 2 |
| #21422001 | 2 |
| #21421948 | 2 |
| C59×#1510 | 2 |
| #9344 | 59 |