Finite Group Databasebeta

C4×C47×C227 #53757605

order42676
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC42676
abelianC4×C47×C227
multiplicative(ℤ/42677)ˣ, (ℤ/85354)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

42676 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC42677
outer automorphism group ofC42677

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42676, 1);