Finite Group Databasebeta

C8×C5147 #52631612

order41176
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41176
abelianC8×C5147
multiplicative(ℤ/41177)ˣ, (ℤ/82354)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41176 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41177
outer automorphism group ofC41177

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41176, 1);