Finite Group Databasebeta

C22×C7×C9×C173 #54875554

order43596
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C7×C9×C173
multiplicative(ℤ/44069)ˣ, (ℤ/46037)ˣ, (ℤ/65397)ˣ, (ℤ/65421)ˣ, (ℤ/87196)ˣ, (ℤ/88138)ˣ, (ℤ/92074)ˣ, (ℤ/130794)ˣ, (ℤ/130842)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43596 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43596, 13);