Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
374 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 1. Q8×D244 | C2 | semidirect |
| 2. #16840172 | C2 | semidirect |
| 3. #16840158 | C2 | semidirect |
| 4. #16840059 | C2 | semidirect |
| 5. #16840052 | C2 | semidirect |
| 6. #16840049 | C2 | semidirect |
| 7. #16840042 | C2 | semidirect |
| 8. #16839893 | C2 | semidirect |
| 11. C61×#554 | C2 | semidirect |
| 63. #11758199 | Q8 | semidirect |
| 78. D4×C61 | C2×Q8 | semidirect |
| 98. #92418 | C2×Q8 | semidirect |
| 122. #554 | D61 | semidirect |
| 133. C61 | #3384 | semidirect |
| 204. D4 | Q8×D61 | semidirect |