Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C151 ⋊ #336 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,b^2=e,d^2=f,b^a=bc,g^b=g^1502440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #336×D151, C2×#23751966, #34068802, … |
| maximal normal subgroup of | #336×D151, C2×#23751966, #34068802, … |
| maximal quotient of | C151⋊#1273, #34066938, #34066940, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 303);