Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
670 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 670 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. #14572663 | C2 | semidirect |
| 3. C4×#10597280 | C2 | semidirect |
| 4. #14562079 | C2 | semidirect |
| 5. #14562077 | C2 | semidirect |
| 6. #14561528 | C2 | semidirect |
| 7. C19×#1300 | C2 | semidirect |
| 65. C19×C4⋊C8 | D4 | semidirect |
| 77. C4⋊(C19⋊C8) | D4 | semidirect |
| 212. #1300 | D19 | semidirect |
| 312. C4⋊C8 | D76 | semidirect |
| 327. C19 | #9031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572663 | 2 |
| #14566916 | 2 |
| C4×#10597280 | 2 |
| #14562079 | 2 |
| #14562077 | 2 |
| #14561528 | 2 |
| C19×#1300 | 2 |
| #9031 | 19 |