Finite Group Databasebeta

C2×C21383 #54841696

order42766
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC42766
abelianC2×C21383
multiplicative(ℤ/42767)ˣ, (ℤ/85534)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

42766 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC42767
outer automorphism group ofC42767

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42766, 2);