Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#18012727 |
| Fitting | C2×C42×C151 ⋊ C2 |
| Sylow | C151 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
2428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067461, #34067463, C2×#23751951, … |
| maximal normal subgroup of | #34067461, #34067463, C2×#23751951, … |
| maximal quotient of | C2×#23752078, C2×#23752103, C2×#23752114, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1066);