Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
822 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 822 conjugacy classes of subgroups — too many to draw. Only its 155 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. #14564562 | C2 | semidirect |
| 3. C2×#11926288 | C2 | semidirect |
| 4. #14561476 | C2 | semidirect |
| 5. C19×#2366 | C2 | semidirect |
| 9. #11926920 | C4 | semidirect |
| 43. #10597320 | C2×C4 | semidirect |
| 50. C4×C19⋊C8 | C2×C4 | semidirect |
| 82. C4⋊C4×C19 | D8 | semidirect |
| 141. #2366 | D19 | semidirect |
| 220. C19 | #9061 | semidirect |
| 259. C4⋊C4 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926920 | 2 |
| #14564562 | 2 |
| C2×#11926288 | 2 |
| #14561476 | 2 |
| C19×#2366 | 2 |
| #9061 | 19 |