Finite Group Databasebeta

C2×C3×C13×C19×C29 #54844273

order42978
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC42978
abelianC2×C3×C13×C19×C29
multiplicative(ℤ/42979)ˣ, (ℤ/85958)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

42978 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC42979
outer automorphism group ofC42979

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42978, 1);