Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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. #21425084 | C2 | semidirect |
| 3. #21422821 | C2 | semidirect |
| 5. #21422007 | C2 | semidirect |
| 6. #21421967 | C2 | semidirect |
| 214. C59 | #9337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21435120 | 2 |
| #21425084 | 2 |
| #21422821 | 2 |
| #21422703 | 2 |
| #21422007 | 2 |
| #21421967 | 2 |
| C59×#2995 | 2 |
| #9337 | 59 |