Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
396 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 101 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. #16863420 | C2 | semidirect |
| 3. C2×#14523959 | C2 | semidirect |
| 4. C4×M16×C67 | C2 | semidirect |
| 30. M16×C67 | D4 | semidirect |
| 60. C4×C67 | #100 | semidirect |
| 69. C67 | #1965 | semidirect |
| 73. C4×M16 | D67 | semidirect |
| 98. M16 | D268 | semidirect |
| 129. C4 | #14523959 | semidirect |