Finite Group Databasebeta

C2×C3×C7297 #54878735

order43782
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43782
abelianC2×C3×C7297
multiplicative(ℤ/43783)ˣ, (ℤ/87566)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43782 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43783
outer automorphism group ofC43783

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43782, 6);