Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
386 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 91 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. #21425855 | C2 | semidirect |
| 3. #21425803 | C2 | semidirect |
| 4. #21425801 | C2 | semidirect |
| 5. #21424994 | C2 | semidirect |
| 6. #21422197 | C2 | semidirect |
| 7. C59×#1976 | C2 | semidirect |
| 177. #1976 | D59 | semidirect |
| 206. C59 | #13447 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21437230 | 2 |
| #21425855 | 2 |
| #21425803 | 2 |
| #21425801 | 2 |
| #21424994 | 2 |
| #21422197 | 2 |
| C59×#1976 | 2 |
| #13447 | 59 |