Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
120 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 39 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×#14558987 | C2 | semidirect |
| 3. #18012715 | C2 | semidirect |
| 5. #18012672 | C2 | semidirect |
| 6. #18012661 | C2 | semidirect |
| 7. #103×C151 | C2 | semidirect |
| 30. C151⋊C8 | D4 | semidirect |
| 55. C151 | #468 | semidirect |
| 62. #103 | D151 | semidirect |