Finite Group Databasebeta

C22×C3×C5×C11×C67 #54885995

order44220
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C3×C5×C11×C67
multiplicative(ℤ/46253)ˣ, (ℤ/48653)ˣ, (ℤ/49379)ˣ, (ℤ/66333)ˣ, (ℤ/88444)ˣ, (ℤ/92506)ˣ, (ℤ/97306)ˣ, (ℤ/98758)ˣ, (ℤ/132666)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44220 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44220, 49);