Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 41 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×#14558991 | C2 | semidirect |
| 2. C2×#14558988 | C2 | semidirect |
| 4. #18012672 | C2 | semidirect |
| 5. #18012663 | C2 | semidirect |
| 6. #18012659 | C2 | semidirect |
| 7. C22⋊Q8×C151 | C2 | semidirect |
| 27. C151⋊C8 | D4 | semidirect |
| 55. C151 | #468 | semidirect |
| 59. C22⋊Q8 | D151 | semidirect |