Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 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 |
|---|---|---|
| 3. #14564575 | C2 | semidirect |
| 5. #14562065 | C2 | semidirect |
| 6. #14561531 | C2 | semidirect |
| 7. C19×#1281 | C2 | semidirect |
| 96. C2×C8×C19 | SD16 | semidirect |
| 167. #1281 | D19 | semidirect |
| 256. C19 | #9047 | semidirect |
| 291. C2×C8 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573667 | 2 |
| #14572354 | 2 |
| #14564575 | 2 |
| #14562282 | 2 |
| #14562065 | 2 |
| #14561531 | 2 |
| C19×#1281 | 2 |
| #9047 | 19 |