Finite Group Databasebeta

C4×C15313 #69829263

order61252
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC61252
abelianC4×C15313
multiplicative(ℤ/61253)ˣ, (ℤ/122506)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

61252 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC61253
outer automorphism group ofC61253

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61252, 2);