Finite Group Databasebeta

C2×C22751 #56087015

order45502
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC45502
abelianC2×C22751
multiplicative(ℤ/45503)ˣ, (ℤ/91006)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

45502 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC45503
outer automorphism group ofC45503

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45502, 2);