Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
296 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 69 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. #16863423 | C2 | semidirect |
| 3. #16863400 | C2 | semidirect |
| 4. C2×#14523960 | C2 | semidirect |
| 5. C2×#14523959 | C2 | semidirect |
| 6. #16863160 | C2 | semidirect |
| 7. #418×C67 | C2 | semidirect |
| 106. C67 | #2045 | semidirect |
| 110. #418 | D67 | semidirect |