Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
306 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 306 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. C2×#14519704 | C2 | semidirect |
| 3. C2×#14519703 | C2 | semidirect |
| 4. #16839761 | C2 | semidirect |
| 5. #16839631 | C2 | semidirect |
| 6. #16839530 | C2 | semidirect |
| 7. C61×#417 | C2 | semidirect |
| 60. C4×Dic61 | D4 | semidirect |
| 133. #417 | D61 | semidirect |
| 136. C61 | #2039 | semidirect |