Finite Group Databasebeta

C22×C5×C72×C47 #57197644

order46060
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×C7

Aliases

abelianC22×C5×C72×C47
multiplicative(ℤ/46789)ˣ, (ℤ/93578)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

46060 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(46060, 40);