Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
724 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 724 conjugacy classes of subgroups — too many to draw. Only its 115 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. C4×#10597339 | C2 | semidirect |
| 3. #14564462 | C2 | semidirect |
| 4. #14562129 | C2 | semidirect |
| 5. #14562059 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 7. C19×#1303 | C2 | semidirect |
| 13. #11926825 | C4 | semidirect |
| 14. #11926740 | C4 | semidirect |
| 50. #10597320 | C2×C4 | semidirect |
| 59. #10597315 | C2×C4 | semidirect |
| 62. C19×C4⋊C8 | C2×C4 | semidirect |
| 131. C4×Dic19 | D8 | semidirect |
| 175. D76 | #104 | semidirect |
| 193. #1303 | D19 | semidirect |
| 284. C4⋊C8 | C4×D19 | semidirect |
| 295. C19 | #9233 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573636 | 2 |
| C4×#10597339 | 2 |
| #14564462 | 2 |
| #14562129 | 2 |
| #14562059 | 2 |
| #14561467 | 2 |
| C19×#1303 | 2 |
| #9233 | 19 |