Finite Group Databasebeta

C2×C3×C23×C421 #65321348

order58098
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC58098
abelianC2×C3×C23×C421
multiplicative(ℤ/58099)ˣ, (ℤ/116198)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

58098 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC58099
outer automorphism group ofC58099

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(58098, 1);