Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
262 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 4. #16839523 | C2 | semidirect |
| 5. #16839521 | C2 | semidirect |
| 6. #16839518 | C2 | semidirect |
| 7. C61×H(3,ℤ/4) | C2 | semidirect |
| 14. #14519734 | C4 | semidirect |
| 16. C42×D61 | C4 | semidirect |
| 109. H(3,ℤ/4) | D61 | semidirect |
| 110. C61 | #1827 | semidirect |