Finite Group Databasebeta

C3×C4×C19×C179 #52624365

order40812
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40812
abelianC3×C4×C19×C179
multiplicative(ℤ/40813)ˣ, (ℤ/81626)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40812 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40813
outer automorphism group ofC40813

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40812, 1);