Finite Group Databasebeta

C4×C10177 #52623364

order40708
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40708
abelianC4×C10177
multiplicative(ℤ/40709)ˣ, (ℤ/81418)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40708 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40709
outer automorphism group ofC40709

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40708, 2);