Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
480 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 3. #21421981 | C2 | semidirect |
| 4. #21421950 | C2 | semidirect |
| 10. #16837270 | C4 | semidirect |
| 12. #16837262 | C4 | semidirect |
| 16. #16837248 | C4 | semidirect |
| 17. C2×C59⋊#95 | C4 | semidirect |
| 196. C59 | #8776 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21427036 | 2 |
| C4×#14273642 | 2 |
| #21421981 | 2 |
| #21421950 | 2 |
| C59×#1465 | 2 |
| #8776 | 59 |