Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
406 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #14562394 | C2 | semidirect |
| 4. #14562323 | C2 | semidirect |
| 5. #14562091 | C2 | semidirect |
| 6. #14561510 | C2 | semidirect |
| 248. C19 | #10461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573432 | 2 |
| #14563627 | 2 |
| #14562394 | 2 |
| #14562323 | 2 |
| #14562091 | 2 |
| #14561510 | 2 |
| C2×C19×D4⋊C8 | 2 |
| #10461 | 19 |