Finite Group Databasebeta

C2×C3×C5×C1553 #58320418

order46590
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC46590
abelianC2×C3×C5×C1553
multiplicative(ℤ/46591)ˣ, (ℤ/93182)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

46590 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC46591
outer automorphism group ofC46591

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(46590, 1);