Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
158 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 3. Q16×Dic67 | C2 | semidirect |
| 4. Dic67⋊C16 | C2 | semidirect |
| 5. #16863200 | C2 | semidirect |
| 7. C2×Q32×C67 | C2 | semidirect |
| 73. C67 | #2211 | semidirect |
| 74. C2×Q32 | D67 | semidirect |