Finite Group Databasebeta

C22×C52×C421 #53727600

order42100
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×C5

Aliases

abelianC22×C52×C421
multiplicative(ℤ/46321)ˣ, (ℤ/92642)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

42100 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42100, 31);