Finite Group Databasebeta

C3×C4×C7×C13×C41 #56054356

order44772
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC44772
abelianC3×C4×C7×C13×C41
multiplicative(ℤ/44773)ˣ, (ℤ/89546)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44772 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC44773
outer automorphism group ofC44773

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44772, 1);