Finite Group Databasebeta

C2×C3×C7573 #56086019

order45438
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC45438
abelianC2×C3×C7573
multiplicative(ℤ/45439)ˣ, (ℤ/90878)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

45438 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC45439
outer automorphism group ofC45439

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45438, 6);