Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
658 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 1. C2×#11926880 | C2 | semidirect |
| 4. C2×#11926282 | C2 | semidirect |
| 6. #14561904 | C2 | semidirect |
| 7. C19×#1280 | C2 | semidirect |
| 194. #1280 | D19 | semidirect |
| 303. C19 | #9969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926880 | 2 |
| C2×#11926863 | 2 |
| #14569563 | 2 |
| C2×#11926282 | 2 |
| C2×#11926279 | 2 |
| #14561904 | 2 |
| C19×#1280 | 2 |
| #9969 | 19 |