Finite Group Databasebeta

C2×C26891 #62996059

order53782
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC53782
abelianC2×C26891
multiplicative(ℤ/53783)ˣ, (ℤ/107566)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

53782 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC53783
outer automorphism group ofC53783

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(53782, 2);