Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
| 3. #16863970 | C2 | semidirect |
| 4. #16863789 | C2 | semidirect |
| 5. #16863781 | C2 | semidirect |
| 6. #16863774 | C2 | semidirect |
| 7. #16863351 | C2 | semidirect |
| 8. C22×Q16×C67 | C2 | semidirect |
| 97. C67 | #3156 | semidirect |
| 100. C22×Q16 | D67 | semidirect |