Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#18012658 |
| Sylow | C151 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1522 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067236, #34067237, C4×#18012658, … |
| maximal normal subgroup of | #34067236, #34067237, C4×#18012658, … |
| maximal quotient of | C2×#23751938, #34067434, #34067440, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 529);