Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
142 conjugacy classes of subgroups; only the 36 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 36 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 |
|---|---|---|
| 5. C22×#10587739 | C4 | semidirect |
| 9. C22⋊#10587739 | C4 | semidirect |
| 12. C22⋊Dic137 | C4 | semidirect |
| 14. C22⋊C4×C137 | C4 | semidirect |
| 56. C137 | #342 | semidirect |
| 71. C22⋊C4 | #10587739 | semidirect |