Finite Group Databasebeta

C16×C3847 #69849479

order61552
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC61552
abelianC16×C3847
multiplicative(ℤ/61553)ˣ, (ℤ/123106)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

61552 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC61553
outer automorphism group ofC61553

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61552, 1);