Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
332 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 83 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×#14524051 | C2 | semidirect |
| 3. #16863398 | C2 | semidirect |
| 4. C2×#14523964 | C2 | semidirect |
| 5. #16863164 | C2 | semidirect |
| 6. #16863160 | C2 | semidirect |
| 7. C2×#100×C67 | C2 | semidirect |
| 10. #14524069 | C4 | semidirect |
| 124. C67 | #1907 | semidirect |
| 129. C2×#100 | D67 | semidirect |