Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
464 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 127 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. #21426262 | C2 | semidirect |
| 3. #21426259 | C2 | semidirect |
| 6. #21426145 | C2 | semidirect |
| 7. #21426144 | C2 | semidirect |
| 174. C59 | #33827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434748 | 2 |
| #21426262 | 2 |
| #21426259 | 2 |
| #21426202 | 2 |
| #21426187 | 2 |
| #21426145 | 2 |
| #21426144 | 2 |
| #21425854 | 2 |
| C59×#2216 | 2 |
| #33827 | 59 |