Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
470 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 87 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. #21422118 | C2 | semidirect |
| 4. #21422097 | C2 | semidirect |
| 6. C2×C4×Dic118 | C4 | semidirect |
| 9. #16837327 | C4 | semidirect |
| 12. #16837314 | C4 | semidirect |
| 17. #16837248 | C4 | semidirect |
| 201. C59 | #11728 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21427380 | 2 |
| C4×#14273642 | 2 |
| #21422118 | 2 |
| #21422097 | 2 |
| C59×#1459 | 2 |
| #11728 | 59 |