Finite Group Databasebeta

C22×C32×C1361 #59503700

order48996
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×C3

Aliases

abelianC22×C32×C1361
multiplicative(ℤ/57169)ˣ, (ℤ/73503)ˣ, (ℤ/114338)ˣ, (ℤ/147006)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

48996 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(48996, 19);