Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
706 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 706 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14572675 | C2 | semidirect |
| 3. #14563624 | C2 | semidirect |
| 4. #14562304 | C2 | semidirect |
| 5. #14562302 | C2 | semidirect |
| 6. #14561538 | C2 | semidirect |
| 7. C19×#1303 | C2 | semidirect |
| 54. C19×C4⋊C8 | D4 | semidirect |
| 63. C4⋊(C19⋊C8) | D4 | semidirect |
| 171. #1303 | D19 | semidirect |
| 253. C4⋊C8 | D76 | semidirect |
| 261. C19 | #9405 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572675 | 2 |
| #14568577 | 2 |
| #14563624 | 2 |
| #14562304 | 2 |
| #14562302 | 2 |
| #14561538 | 2 |
| C19×#1303 | 2 |
| #9405 | 19 |