Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
544 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 544 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 |
|---|---|---|
| 2. #14572354 | C2 | semidirect |
| 3. #14562285 | C2 | semidirect |
| 4. #14562060 | C2 | semidirect |
| 5. #14561532 | C2 | semidirect |
| 6. #14561480 | C2 | semidirect |
| 7. C19×#1955 | C2 | semidirect |
| 105. C2×C8×C19 | D8 | semidirect |
| 178. #1955 | D19 | semidirect |
| 280. C19 | #9049 | semidirect |
| 321. C2×C8 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573635 | 2 |
| #14572354 | 2 |
| #14562285 | 2 |
| #14562060 | 2 |
| #14561532 | 2 |
| #14561480 | 2 |
| C19×#1955 | 2 |
| #9049 | 19 |