Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
158 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 48 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. #17984167 | C2 | semidirect |
| 2. #17984147 | C2 | semidirect |
| 3. #17984146 | C2 | semidirect |
| 10. C2×Dic274 | C4 | semidirect |
| 12. C2×C22⋊D137 | C4 | semidirect |
| 14. C2×C4×D137 | C4 | semidirect |
| 16. C22×C4×C137 | C4 | semidirect |
| 53. C137 | #410 | semidirect |
| 67. C22×C4 | #10587739 | semidirect |