Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
276 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 67 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. #16863424 | C2 | semidirect |
| 3. #16863406 | C2 | semidirect |
| 5. C2×#14523961 | C2 | semidirect |
| 6. #16863160 | C2 | semidirect |
| 101. C67 | #2046 | semidirect |