Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 89 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. C4×C4⋊Dic67 | C2 | semidirect |
| 3. #16863131 | C2 | semidirect |
| 4. #431×C67 | C2 | semidirect |
| 6. #14524043 | C4 | semidirect |
| 7. #14524040 | C4 | semidirect |
| 12. C4×D268 | C4 | semidirect |
| 90. C67 | #1502 | semidirect |
| 92. #431 | D67 | semidirect |