Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
146 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 46 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. #16840806 | C2 | semidirect |
| 2. #16840690 | C2 | semidirect |
| 3. #16840677 | C2 | semidirect |
| 4. C16×#6923 | C2 | semidirect |
| 12. #14519720 | C4 | semidirect |
| 13. D976 | C4 | semidirect |
| 15. Q32×C61 | C4 | semidirect |
| 55. C61 | #2178 | semidirect |
| 58. Q32 | #6923 | semidirect |