Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14558994 |
| Sylow | C151 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34069448, #34069449, #34069451, … |
| maximal normal subgroup of | #34069448, #34069449, #34069451, … |
| maximal quotient of | C22×#18012662, C22×#18012663, C22×#18012672, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1325);