Finite Group Databasebeta

C3×C4×C7×C17×C31 #54887708

order44268
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC44268
abelianC3×C4×C7×C17×C31
multiplicative(ℤ/44269)ˣ, (ℤ/88538)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44268 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC44269
outer automorphism group ofC44269

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44268, 1);