Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
170 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
| 3. #16863780 | C2 | semidirect |
| 4. C4×D536 | C2 | semidirect |
| 5. #16863201 | C2 | semidirect |
| 6. #16863198 | C2 | semidirect |
| 7. C4⋊C16×C67 | C2 | semidirect |
| 77. C67 | #2210 | semidirect |
| 82. C4⋊C16 | D67 | semidirect |