Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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. #16863877 | C2 | semidirect |
| 3. #16863507 | C2 | semidirect |
| 4. #16863502 | C2 | semidirect |
| 5. #16863483 | C2 | semidirect |
| 6. #16863395 | C2 | semidirect |
| 7. #16863351 | C2 | semidirect |
| 8. C2×#106×C67 | C2 | semidirect |
| 10. #14524065 | C4 | semidirect |
| 30. #11761628 | C2×C4 | semidirect |
| 36. Dic268 | C2×C4 | semidirect |
| 37. #11761617 | C2×C4 | semidirect |
| 38. D536 | C2×C4 | semidirect |
| 49. C2×C8×C67 | C2×C4 | semidirect |
| 91. C67 | #2952 | semidirect |
| 97. C2×#106 | D67 | semidirect |
| 134. C2×C8 | C4×D67 | semidirect |