Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 2. #16863688 | C2 | semidirect |
| 3. #16863683 | C2 | semidirect |
| 4. #16863678 | C2 | semidirect |
| 5. #16863673 | C2 | semidirect |
| 6. #16863436 | C2 | semidirect |
| 7. #16863420 | C2 | semidirect |
| 9. C2×C4⋊Q8×C67 | C2 | semidirect |
| 36. #11761628 | Q8 | semidirect |
| 91. D268 | C2×Q8 | semidirect |
| 96. Dic134 | C2×Q8 | semidirect |
| 122. C67 | #3079 | semidirect |
| 123. C2×C4⋊Q8 | D67 | semidirect |