Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #18012787 | C2 | semidirect |
| 2. #18012786 | C2 | semidirect |
| 3. #18012772 | C2 | semidirect |
| 4. #18012771 | C2 | semidirect |
| 5. #18012768 | C2 | semidirect |
| 6. #18012760 | C2 | semidirect |
| 7. #18012759 | C2 | semidirect |
| 8. C2×#14558994 | C2 | semidirect |
| 9. Q16×D151 | C2 | semidirect |
| 10. #18012747 | C2 | semidirect |
| 11. #137×C151 | C2 | semidirect |
| 87. C151 | #578 | semidirect |
| 94. #137 | D151 | semidirect |