Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
828 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 828 conjugacy classes of subgroups — too many to draw. Only its 131 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. C2×#11926736 | C2 | semidirect |
| 2. #14568551 | C2 | semidirect |
| 3. C2×#11926273 | C2 | semidirect |
| 4. #14561518 | C2 | semidirect |
| 5. C19×#1957 | C2 | semidirect |
| 28. C19×#127 | D4 | semidirect |
| 50. C4⋊(C19⋊C8) | D4 | semidirect |
| 74. C2×D76 | D8 | semidirect |
| 147. #1957 | D19 | semidirect |
| 208. #127 | D76 | semidirect |
| 227. C19 | #10228 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926736 | 2 |
| #14568551 | 2 |
| C2×#11926273 | 2 |
| #14561518 | 2 |
| C19×#1957 | 2 |
| #10228 | 19 |