Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
112 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 43 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×#14558994 | C2 | semidirect |
| 4. C4⋊(C151⋊C8) | C2 | semidirect |
| 5. #18012662 | C2 | semidirect |
| 7. C4×Q8×C151 | C2 | semidirect |
| 51. C151 | #464 | semidirect |
| 56. C4×Q8 | D151 | semidirect |