Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
402 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14572020 | C2 | semidirect |
| 5. #14561495 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 7. C19×#1286 | C2 | semidirect |
| 145. #1286 | D19 | semidirect |
| 223. C19 | #10366 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572020 | 2 |
| #14564462 | 2 |
| #14562196 | 2 |
| #14562194 | 2 |
| #14561495 | 2 |
| #14561467 | 2 |
| C19×#1286 | 2 |
| #10366 | 19 |