Finite Group Databasebeta

C2×C5×C7×C727 #61820391

order50890
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC50890
abelianC2×C5×C7×C727
multiplicative(ℤ/50891)ˣ, (ℤ/101782)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

50890 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC50891
outer automorphism group ofC50891

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(50890, 1);