Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #97×C151 ⋊ C2 |
| Sylow | C151 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,b^2=e,d^2=f,c^a=cf,g^b=g^150,g^c=g^1501540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067695, #34067697, #34067700, … |
| maximal normal subgroup of | #34067695, #34067697, #34067700, … |
| maximal quotient of | #34067389, #34067398, #34067406, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 501);