Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
160 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 53 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. C2×#14523988 | C2 | semidirect |
| 2. #16863637 | C2 | semidirect |
| 4. #16863222 | C2 | semidirect |
| 5. #16863201 | C2 | semidirect |
| 6. #16863198 | C2 | semidirect |
| 7. C2×M32×C67 | C2 | semidirect |
| 39. C16×C67 | D4 | semidirect |
| 76. C67 | #2220 | semidirect |
| 78. C2×M32 | D67 | semidirect |
| 115. C16 | C22⋊D67 | semidirect |