Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
626 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14572658 | C2 | semidirect |
| 3. #14563624 | C2 | semidirect |
| 4. #14562060 | C2 | semidirect |
| 5. #14561495 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 7. C19×#1486 | C2 | semidirect |
| 57. C4×C8×C19 | D4 | semidirect |
| 67. C4×C19⋊C8 | D4 | semidirect |
| 179. #1486 | D19 | semidirect |
| 273. C4×C8 | C22⋊D19 | semidirect |
| 277. C19 | #9485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572658 | 2 |
| #14568536 | 2 |
| #14563624 | 2 |
| #14562060 | 2 |
| #14561495 | 2 |
| #14561494 | 2 |
| C19×#1486 | 2 |
| #9485 | 19 |