Finite Group Databasebeta

C22×C32×C5×C233 #53726288

order41940
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×C3

Aliases

abelianC22×C32×C5×C233
multiplicative(ℤ/43369)ˣ, (ℤ/48937)ˣ, (ℤ/62919)ˣ, (ℤ/86738)ˣ, (ℤ/97874)ˣ, (ℤ/125838)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41940 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41940, 49);