Finite Group Databasebeta

C4×C5×C11×C199 #54878682

order43780
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43780
abelianC4×C5×C11×C199
multiplicative(ℤ/43781)ˣ, (ℤ/87562)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43780 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43781
outer automorphism group ofC43781

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43780, 1);