Finite Group Databasebeta

C2×C26879 #62995957

order53758
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC53758
abelianC2×C26879
multiplicative(ℤ/53759)ˣ, (ℤ/107518)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

53758 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC53759
outer automorphism group ofC53759

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(53758, 2);