Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
232 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 64 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. D61⋊M32 | C2 | semidirect |
| 2. C2×#14519845 | C2 | semidirect |
| 3. #16840679 | C2 | semidirect |
| 4. #16840678 | C2 | semidirect |
| 7. #14519852 | C22 | semidirect |
| 11. #14519845 | C22 | semidirect |
| 14. #14519799 | C4 | semidirect |
| 18. Q16×D61 | C4 | semidirect |
| 20. D8×D61 | C4 | semidirect |
| 22. #135×C61 | C4 | semidirect |
| 37. Q16×C61 | C2×C4 | semidirect |
| 39. D8×C61 | C2×C4 | semidirect |
| 46. Dic244 | C2×C4 | semidirect |
| 47. D488 | C2×C4 | semidirect |
| 103. D61 | #360 | semidirect |
| 109. C61 | C2×#360 | semidirect |
| 116. #135 | #6923 | semidirect |
| 141. Q16 | C2×#6923 | semidirect |
| 148. D8 | C2×#6923 | semidirect |