Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
150 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 3. #17984151 | C2 | semidirect |
| 12. C2×Dic274 | C4 | semidirect |
| 15. Q8×D137 | C4 | semidirect |
| 19. C2×Q8×C137 | C4 | semidirect |
| 54. C137 | #419 | semidirect |
| 66. C2×Q8 | #10587739 | semidirect |