Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
260 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 260 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. #16840772 | C2 | semidirect |
| 3. #16840674 | C2 | semidirect |
| 8. D61⋊C16 | C22 | semidirect |
| 9. #14519846 | C22 | semidirect |
| 12. C2×D488 | C4 | semidirect |
| 16. D8×D61 | C4 | semidirect |
| 19. C2×D8×C61 | C4 | semidirect |
| 94. C61 | #2140 | semidirect |
| 102. C2×D8 | #6923 | semidirect |