Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
950 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 950 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14574550 | C2 | semidirect |
| 2. #14572030 | C2 | semidirect |
| 3. #14562304 | C2 | semidirect |
| 4. #14561468 | C2 | semidirect |
| 5. C19×#1962 | C2 | semidirect |
| 25. C19×C4⋊Q8 | D4 | semidirect |
| 26. C19×#127 | D4 | semidirect |
| 45. C4⋊(C19⋊C8) | D4 | semidirect |
| 76. C42×C19 | D8 | semidirect |
| 117. #1962 | D19 | semidirect |
| 161. C4⋊Q8 | D76 | semidirect |
| 169. #127 | D76 | semidirect |
| 182. C19 | #10280 | semidirect |
| 214. C42 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574550 | 2 |
| #14572030 | 2 |
| #14562304 | 2 |
| #14561468 | 2 |
| C19×#1962 | 2 |
| #10280 | 19 |