Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
284 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 11. #14519777 | C4 | semidirect |
| 12. #14519768 | C4 | semidirect |
| 19. C4⋊Q8×C61 | C4 | semidirect |
| 30. C4×#6923 | Q8 | semidirect |
| 86. C61 | #1994 | semidirect |
| 89. C4⋊Q8 | #6923 | semidirect |