Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14524074 | C2 | semidirect |
| 2. C2×#14524049 | C2 | semidirect |
| 4. #16863970 | C2 | semidirect |
| 5. #16863653 | C2 | semidirect |
| 6. #16863645 | C2 | semidirect |
| 7. #16863636 | C2 | semidirect |
| 8. #16863628 | C2 | semidirect |
| 9. #16863436 | C2 | semidirect |
| 10. #16863393 | C2 | semidirect |
| 11. C2×#103×C67 | C2 | semidirect |
| 58. #11761612 | D4 | semidirect |
| 144. C67 | #3063 | semidirect |
| 155. C2×#103 | D67 | semidirect |