Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16863953 | C2 | semidirect |
| 2. #16863686 | C2 | semidirect |
| 3. #16863678 | C2 | semidirect |
| 4. #16863623 | C2 | semidirect |
| 5. #16863601 | C2 | semidirect |
| 6. #16863593 | C2 | semidirect |
| 7. C2×C4⋊(C67⋊C8) | C2 | semidirect |
| 77. C2×C4×C67 | SD16 | semidirect |
| 113. C67 | #3246 | semidirect |
| 195. C2×C4 | #11761616 | semidirect |