Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
648 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14566682 | C2 | semidirect |
| 3. #14564472 | C2 | semidirect |
| 4. #14562204 | C2 | semidirect |
| 5. #14561514 | C2 | semidirect |
| 6. #14561482 | C2 | semidirect |
| 7. C2×C19×#327 | C2 | semidirect |
| 10. #11926857 | C4 | semidirect |
| 13. #11926678 | C4 | semidirect |
| 32. C22×D4×C19 | C2×C4 | semidirect |
| 43. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 78. C22⋊(C19⋊C8) | C2×C4 | semidirect |
| 134. C22⋊Dic19 | D8 | semidirect |
| 223. C2×#327 | D19 | semidirect |
| 303. C22×D4 | C4×D19 | semidirect |
| 323. C2×C4⋊C4 | C4×D19 | semidirect |
| 350. C19 | #9277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574383 | 2 |
| #14566682 | 2 |
| #14564472 | 2 |
| #14562204 | 2 |
| #14561514 | 2 |
| #14561482 | 2 |
| C2×C19×#327 | 2 |
| #9277 | 19 |