Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
274 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 274 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 |
|---|---|---|
| 1. #16863444 | C2 | semidirect |
| 2. #16863413 | C2 | semidirect |
| 3. #16863401 | C2 | semidirect |
| 4. #16863380 | C2 | semidirect |
| 5. C2×#14523960 | C2 | semidirect |
| 6. #16863168 | C2 | semidirect |
| 111. C67 | #2048 | semidirect |