Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
480 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 157 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. C2×#14524043 | C2 | semidirect |
| 3. #16863606 | C2 | semidirect |
| 4. #16863601 | C2 | semidirect |
| 5. #16863420 | C2 | semidirect |
| 6. #16863404 | C2 | semidirect |
| 89. C4×C67 | #137 | semidirect |
| 98. C67 | #3039 | semidirect |
| 188. C4 | #14524073 | semidirect |