Finite Group Databasebeta

C22×C4×C2693 #54847462

order43088
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C23

Aliases

abelianC22×C4×C2693
multiplicative(ℤ/80805)ˣ, (ℤ/86192)ˣ, (ℤ/107740)ˣ, (ℤ/161610)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43088 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43088, 10);