Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
428 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 129 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×Q8×Dic61 | C2 | semidirect |
| 3. #16840081 | C2 | semidirect |
| 4. #16840078 | C2 | semidirect |
| 5. #16840045 | C2 | semidirect |
| 6. #16839960 | C2 | semidirect |
| 7. #16839901 | C2 | semidirect |
| 8. SD16×Dic61 | C2 | semidirect |
| 9. #16839847 | C2 | semidirect |
| 10. #16839812 | C2 | semidirect |
| 11. C61×#448 | C2 | semidirect |
| 87. Q8×C61 | #41 | semidirect |
| 104. C2×Dic61 | SD16 | semidirect |
| 148. #448 | D61 | semidirect |
| 152. C61 | #3103 | semidirect |
| 229. Q8 | #11758224 | semidirect |