Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
492 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14562407 | C2 | semidirect |
| 3. #14562304 | C2 | semidirect |
| 4. #14562304 | C2 | semidirect |
| 5. #14562026 | C2 | semidirect |
| 6. #14561530 | C2 | semidirect |
| 7. C19×#1800 | C2 | semidirect |
| 154. #1800 | D19 | semidirect |
| 244. C19 | #10441 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926739 | 2 |
| #14562407 | 2 |
| #14562304 | 2 |
| #14562026 | 2 |
| #14561530 | 2 |
| C19×#1800 | 2 |
| #10441 | 19 |