Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
182 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 65 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. #16839841 | C2 | semidirect |
| 3. #16839512 | C2 | semidirect |
| 4. D4⋊#92418 | C2 | semidirect |
| 5. #16839489 | C2 | semidirect |
| 6. #16839484 | C2 | semidirect |
| 7. C8×D4×C61 | C2 | semidirect |
| 45. D4×C61 | M16 | semidirect |
| 86. C8×D4 | D61 | semidirect |
| 91. C61 | #1586 | semidirect |
| 131. D4 | #11758189 | semidirect |