Finite Group Databasebeta

C4×C16249 #72155577

order64996
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC64996
abelianC4×C16249
multiplicative(ℤ/64997)ˣ, (ℤ/129994)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

64996 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC64997
outer automorphism group ofC64997

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(64996, 2);