Finite Group Databasebeta

C22×C3×C19×C179 #52624377

order40812
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C3×C19×C179
multiplicative(ℤ/47621)ˣ, (ℤ/61221)ˣ, (ℤ/61227)ˣ, (ℤ/81628)ˣ, (ℤ/95242)ˣ, (ℤ/122442)ˣ, (ℤ/122454)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40812 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40812, 13);