Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14558991 |
| Fitting | C22×Q8×C151 ⋊ C2 |
| Sylow | C151 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34069441, #34069447, #34069463, … |
| maximal normal subgroup of | #34069441, #34069447, #34069463, … |
| maximal quotient of | C22×#18012659, C22×#18012663, C22×#18012670, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1321);