Finite Group Databasebeta

C2×C9×C2389 #54844453

order43002
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43002
abelianC2×C9×C2389
multiplicative(ℤ/43003)ˣ, (ℤ/86006)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43002 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43003
outer automorphism group ofC43003

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43002, 1);