Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
424 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 129 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×C4×Dic134 | C2 | semidirect |
| 2. #16863707 | C2 | semidirect |
| 3. #16863688 | C2 | semidirect |
| 4. #16863593 | C2 | semidirect |
| 5. #16863534 | C2 | semidirect |
| 6. #16863496 | C2 | semidirect |
| 7. #16863453 | C2 | semidirect |
| 88. Dic134 | #41 | semidirect |
| 112. C67 | #3112 | semidirect |