Finite Group Databasebeta

C2×C3×C5×C7×C223 #58323429

order46830
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC46830
abelianC2×C3×C5×C7×C223
multiplicative(ℤ/46831)ˣ, (ℤ/93662)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

46830 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC46831
outer automorphism group ofC46831

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(46830, 1);