Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
594 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 594 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. #14564616 | C2 | semidirect |
| 5. #14562200 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 7. C19×#1274 | C2 | semidirect |
| 11. #11926917 | C4 | semidirect |
| 12. #11926891 | C4 | semidirect |
| 50. #10597315 | C2×C4 | semidirect |
| 51. #10597315 | C2×C4 | semidirect |
| 59. C4×C8×C19 | C2×C4 | semidirect |
| 96. C42×C19 | SD16 | semidirect |
| 170. #1274 | D19 | semidirect |
| 256. C4×C8 | C4×D19 | semidirect |
| 261. C19 | #9295 | semidirect |
| 308. C42 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574578 | 2 |
| #14566360 | 2 |
| #14564616 | 2 |
| #14562302 | 2 |
| #14562200 | 2 |
| #14561494 | 2 |
| C19×#1274 | 2 |
| #9295 | 19 |