Finite Group Databasebeta

C2×C27809 #64155649

order55618
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC55618
abelianC2×C27809
multiplicative(ℤ/55619)ˣ, (ℤ/111238)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

55618 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC55619
outer automorphism group ofC55619

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(55618, 2);