Finite Group Databasebeta

C2×C27281 #64104262

order54562
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC54562
abelianC2×C27281
multiplicative(ℤ/54563)ˣ, (ℤ/109126)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

54562 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC54563
outer automorphism group ofC54563

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(54562, 2);