Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2416 |
| Fitting | C2×C16×C151 ⋊ C2 |
| Sylow | C151 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
2422 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067287, #34067289, #34067299, … |
| maximal normal subgroup of | #34067287, #34067289, #34067299, … |
| maximal quotient of | C2×#23752014, C2×#23752038, C4×D2416, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 970);