Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
424 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16840075 | C2 | semidirect |
| 3. #16840057 | C2 | semidirect |
| 4. #16839962 | C2 | semidirect |
| 5. #16839901 | C2 | semidirect |
| 6. #16839860 | C2 | semidirect |
| 7. #16839819 | C2 | semidirect |
| 8. C2×C4×Q8×C61 | C2 | semidirect |
| 68. Q8×C61 | #41 | semidirect |
| 113. C2×C4×Q8 | D61 | semidirect |
| 120. C61 | #3112 | semidirect |
| 181. Q8 | #11758222 | semidirect |