Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
124 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 124 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 |
| 3. #18012728 | C2 | semidirect |
| 4. #18012701 | C2 | semidirect |
| 5. Dic151⋊C8 | C2 | semidirect |
| 6. #18012659 | C2 | semidirect |
| 7. #103×C151 | C2 | semidirect |
| 55. C151 | #463 | semidirect |
| 62. #103 | D151 | semidirect |