Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C151 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,b^2=e,d^2=f,g^a=g^150,c^b=cf1540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34068864, #34068909, #34068912, … |
| maximal normal subgroup of | #34068864, #34068909, #34068912, … |
| maximal quotient of | #34067391, #34067394, #34067400, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 505);