Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
480 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #16839969 | C2 | semidirect |
| 4. #16839964 | C2 | semidirect |
| 5. #16839786 | C2 | semidirect |
| 6. #16839771 | C2 | semidirect |
| 7. C2×C4⋊Q8×C61 | C2 | semidirect |
| 88. C4×C61 | #137 | semidirect |
| 99. C2×C4⋊Q8 | D61 | semidirect |
| 105. C61 | #3039 | semidirect |
| 188. C4 | #14519808 | semidirect |