Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
234 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 234 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 |
|---|---|---|
| 1. #18012734 | C2 | semidirect |
| 2. #18012730 | C2 | semidirect |
| 3. #18012728 | C2 | semidirect |
| 4. #18012723 | C2 | semidirect |
| 6. Q8×Dic151 | C2 | semidirect |
| 7. #18012701 | C2 | semidirect |
| 8. (C22⋊D151)⋊C4 | C2 | semidirect |
| 9. #18012697 | C2 | semidirect |
| 10. C2×C4×Dic151 | C2 | semidirect |
| 11. C22⋊Q8×C151 | C2 | semidirect |
| 74. C151 | #529 | semidirect |
| 80. C22⋊Q8 | D151 | semidirect |