Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
404 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 1. Q8×D244 | C2 | semidirect |
| 2. #16840165 | C2 | semidirect |
| 3. #16840042 | C2 | semidirect |
| 4. #16840039 | C2 | semidirect |
| 5. Q8×#92418 | C2 | semidirect |
| 7. D4×Q8×C61 | C2 | semidirect |
| 38. #11758199 | Q8 | direct (N × H) |
| 47. Q8×C61 | D8 | semidirect |
| 49. D4×C61 | C2×Q8 | semidirect |
| 57. D244 | C2×Q8 | semidirect |
| 61. #92418 | C2×Q8 | semidirect |
| 82. D4×Q8 | D61 | semidirect |
| 88. C61 | Q8×D8 | semidirect |
| 129. Q8 | #11758199 | direct (N × H) |
| 133. D4 | Q8×D61 | semidirect |