Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
606 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 606 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 |
|---|---|---|
| 3. #14564621 | C2 | semidirect |
| 5. #14561514 | C2 | semidirect |
| 6. #14561482 | C2 | semidirect |
| 7. C2×C19×#328 | C2 | semidirect |
| 11. #11926862 | C4 | semidirect |
| 14. #11926683 | C4 | semidirect |
| 31. C22×Q8×C19 | C2×C4 | semidirect |
| 43. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 76. C22⋊(C19⋊C8) | C2×C4 | semidirect |
| 128. C22⋊Dic19 | SD16 | semidirect |
| 209. C2×#328 | D19 | semidirect |
| 281. C22×Q8 | C4×D19 | semidirect |
| 304. C2×C4⋊C4 | C4×D19 | semidirect |
| 329. C19 | #9275 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574388 | 2 |
| #14566682 | 2 |
| #14564621 | 2 |
| #14562204 | 2 |
| #14561514 | 2 |
| #14561482 | 2 |
| C2×C19×#328 | 2 |
| #9275 | 19 |