Finite Group Databasebeta

C2×C21611 #54870371

order43222
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43222
abelianC2×C21611
multiplicative(ℤ/43223)ˣ, (ℤ/86446)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43222 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43223
outer automorphism group ofC43223

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43222, 2);