Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14519799 | C2 | semidirect |
| 2. #16840433 | C2 | semidirect |
| 3. #16840139 | C2 | semidirect |
| 4. #16839998 | C2 | semidirect |
| 5. #16839963 | C2 | semidirect |
| 6. #16839909 | C2 | semidirect |
| 7. C4×Dic244 | C2 | semidirect |
| 8. C8×D4×C61 | C2 | semidirect |
| 51. Dic244 | D4 | semidirect |
| 87. C4×C61 | #135 | semidirect |
| 105. C8×D4 | D61 | semidirect |
| 106. C61 | #3287 | semidirect |
| 187. C4 | #14519799 | semidirect |