Finite Group Databasebeta

C2×C27551 #64110993

order55102
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC55102
abelianC2×C27551
multiplicative(ℤ/55103)ˣ, (ℤ/110206)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

55102 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC55103
outer automorphism group ofC55103

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(55102, 2);