Finite Group Databasebeta

C2×C5×C9×C13×C37 #54870960

order43290
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43290
abelianC2×C5×C9×C13×C37
multiplicative(ℤ/43291)ˣ, (ℤ/86582)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43290 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43291
outer automorphism group ofC43291

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43290, 1);