Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
326 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 2. #16839802 | C2 | semidirect |
| 3. C2×#14519704 | C2 | semidirect |
| 4. C2×#14519693 | C2 | semidirect |
| 5. #16839663 | C2 | semidirect |
| 6. #16839523 | C2 | semidirect |
| 7. C61×#417 | C2 | semidirect |
| 62. #11758194 | D4 | semidirect |
| 134. #417 | D61 | semidirect |
| 138. C61 | #2037 | semidirect |