Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#18012719 |
| Fitting | C2×C4⋊C4×C151 ⋊ C2 |
| Sylow | C151 ⋊ C2×C22⋊Q8 |
322 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 135 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34069416, #34069421, #34069532, … |
| maximal normal subgroup of | #34069416, #34069421, #34069532, … |
| maximal quotient of | C2×#23752069, C2×#23752086, C2×#23752097, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1048);