Finite Group Databasebeta

C3×C4×C41×C89 #54878751

order43788
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43788
abelianC3×C4×C41×C89
multiplicative(ℤ/43789)ˣ, (ℤ/87578)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43788 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43789
outer automorphism group ofC43789

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43788, 1);