Finite Group Databasebeta

C3×C4×C59×C61 #54870084

order43188
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43188
abelianC3×C4×C59×C61
multiplicative(ℤ/43189)ˣ, (ℤ/86378)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43188 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43189
outer automorphism group ofC43189

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43188, 1);