Finite Group Databasebeta

C22×C5×C7×C11×C31 #58357655

order47740
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C5×C7×C11×C31
multiplicative(ℤ/48493)ˣ, (ℤ/96986)ˣ

Subgroups

subgroupG/H
center?
commutator?
Frattini?
LCS?
UCS?

Subgroup lattice not available for this group.

Conjugacy classes & character table

47740 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(47740, 65);