Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
310 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 93 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. #16863874 | C2 | semidirect |
| 3. #16863405 | C2 | semidirect |
| 5. #16863167 | C2 | semidirect |
| 6. #16863153 | C2 | semidirect |
| 22. C2×Q16×C67 | C4 | semidirect |
| 23. C2×SD16×C67 | C4 | semidirect |
| 110. C67 | #1905 | semidirect |
| 122. C2×Q16 | Dic67 | semidirect |
| 123. C2×SD16 | Dic67 | semidirect |