Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14519776 | C2 | semidirect |
| 3. #16840056 | C2 | semidirect |
| 4. #16840051 | C2 | semidirect |
| 5. #16840046 | C2 | semidirect |
| 6. #16840041 | C2 | semidirect |
| 7. #16839805 | C2 | semidirect |
| 8. #16839785 | C2 | semidirect |
| 11. C61×#428 | C2 | semidirect |
| 50. #11758222 | Q8 | semidirect |
| 104. D244 | C2×Q8 | semidirect |
| 111. Dic122 | C2×Q8 | semidirect |
| 146. #428 | D61 | semidirect |
| 150. C61 | #3079 | semidirect |