Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
484 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 131 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. #21426237 | C2 | semidirect |
| 3. #21426236 | C2 | semidirect |
| 6. #21426145 | C2 | semidirect |
| 7. #21426144 | C2 | semidirect |
| 174. C59 | #33821 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434677 | 2 |
| #21426237 | 2 |
| #21426236 | 2 |
| #21426204 | 2 |
| #21426202 | 2 |
| #21426145 | 2 |
| #21426144 | 2 |
| #21425851 | 2 |
| C59×#2219 | 2 |
| #33821 | 59 |