Finite Group Databasebeta

C3×C4×C43×C83 #54842292

order42828
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC42828
abelianC3×C4×C43×C83
multiplicative(ℤ/42829)ˣ, (ℤ/85658)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

42828 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC42829
outer automorphism group ofC42829

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42828, 1);