Finite Group Databasebeta

C2×C20789 #52637296

order41578
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41578
abelianC2×C20789
multiplicative(ℤ/41579)ˣ, (ℤ/83158)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41578 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41579
outer automorphism group ofC41579

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41578, 2);