Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14559005 |
| Fitting | C4×Q8×C151 ⋊ C2 |
| Sylow | C151 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
1540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067491, #34067496, #34067543, … |
| maximal normal subgroup of | #34067491, #34067496, #34067543, … |
| maximal quotient of | C4×#18012697, C4×#18012701, C4×Q8×Dic151, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1019);