Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
158 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 158 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 |
|---|---|---|
| 1. C2×#14555518 | C2 | semidirect |
| 2. #17984167 | C2 | semidirect |
| 3. #17984151 | C2 | semidirect |
| 4. #17984150 | C2 | semidirect |
| 12. #14555511 | C4 | semidirect |
| 14. #14555510 | C4 | semidirect |
| 16. #14555509 | C4 | semidirect |
| 22. #41×C137 | C4 | semidirect |
| 68. C137 | #416 | semidirect |
| 80. #41 | #10587739 | semidirect |