Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
630 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 630 conjugacy classes of subgroups — too many to draw. Only its 107 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. #21425088 | C2 | semidirect |
| 3. #21422824 | C2 | semidirect |
| 5. #21422516 | C2 | semidirect |
| 6. #21422451 | C2 | semidirect |
| 272. C59 | #8485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21438699 | 2 |
| #21425088 | 2 |
| #21422824 | 2 |
| #21422703 | 2 |
| #21422516 | 2 |
| #21422451 | 2 |
| C59×#1495 | 2 |
| #8485 | 59 |