Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1296 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 1296 conjugacy classes of subgroups — too many to draw. Only its 147 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. #14563565 | C2 | semidirect |
| 3. C2×#11926268 | C2 | semidirect |
| 4. #14561513 | C2 | semidirect |
| 5. C19×#2315 | C2 | semidirect |
| 12. #11926453 | C4 | semidirect |
| 35. C22×D76 | C2×C4 | semidirect |
| 37. C2×C4⋊C4×C19 | D4 | semidirect |
| 52. C19⋊#95 | C2×C4 | semidirect |
| 136. C23×C19 | #102 | semidirect |
| 192. #2315 | D19 | semidirect |
| 281. C2×C4⋊C4 | C22⋊D19 | semidirect |
| 299. C19 | #9017 | semidirect |
| 402. C23 | #10597266 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926453 | 2 |
| #14563565 | 2 |
| C2×#11926268 | 2 |
| #14561513 | 2 |
| C19×#2315 | 2 |
| #9017 | 19 |