Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#18012733 |
| Fitting | C2×C42×C151 ⋊ C2 |
| Sylow | C151 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
2428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067477, #34067480, #34071658, … |
| maximal normal subgroup of | #34067477, #34067480, #34071658, … |
| maximal quotient of | C2×#23752080, C2×#23752096, C2×#23752103, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1074);