Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
672 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14562341 | C2 | semidirect |
| 3. #14562212 | C2 | semidirect |
| 4. #14562187 | C2 | semidirect |
| 5. #14562183 | C2 | semidirect |
| 6. #14562107 | C2 | semidirect |
| 7. C19×#1535 | C2 | semidirect |
| 10. #11927259 | C4 | semidirect |
| 11. #11927254 | C4 | semidirect |
| 14. Q8×D76 | C4 | semidirect |
| 16. #11927198 | C4 | semidirect |
| 238. #1535 | D19 | semidirect |
| 385. C19 | #8502 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578026 | 2 |
| #14562341 | 2 |
| #14562212 | 2 |
| #14562187 | 2 |
| #14562183 | 2 |
| #14562107 | 2 |
| C19×#1535 | 2 |
| #8502 | 19 |