Finite Group Databasebeta

C2×C3×C73×C97 #53754356

order42486
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC42486
abelianC2×C3×C73×C97
multiplicative(ℤ/42487)ˣ, (ℤ/84974)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

42486 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC42487
outer automorphism group ofC42487

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42486, 1);