Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
628 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 628 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14572662 | C2 | semidirect |
| 3. #14561971 | C2 | semidirect |
| 4. #14561961 | C2 | semidirect |
| 5. #14561961 | C2 | semidirect |
| 6. #14561541 | C2 | semidirect |
| 7. C19×#1305 | C2 | semidirect |
| 69. C19×C22⋊C8 | D4 | semidirect |
| 76. C22⋊(C19⋊C8) | D4 | semidirect |
| 218. #1305 | D19 | semidirect |
| 334. C22⋊C8 | D76 | semidirect |
| 339. C19 | #9515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572662 | 2 |
| #14568527 | 2 |
| #14561971 | 2 |
| #14561961 | 2 |
| #14561541 | 2 |
| C19×#1305 | 2 |
| #9515 | 19 |