Finite Group Databasebeta

← Group #284337

Character table — Group #284337

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ3111111111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1111111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-11
χ11111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-11-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-111-1-111-1-111-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1-111-1-111111-1
χ17222222222-2-22-222-2-2-2000022002200-2-2-2-222-2-2000000000000000000000000
χ18222222222-2-22-222-2-2-200002200-2-200-2-222-2-222000000000000000000000000
χ19222222222-2-22-222-2-2-20000-2-200220022-2-2-2-222000000000000000000000000
χ20222222222-2-22-222-2-2-20000-2-200-2-200222222-2-2000000000000000000000000
χ2122222222-222-22-2-22-2-22222002200-2-200000000-2-200000000-22000000000000
χ2222222222-222-22-2-22-2-2222200-2-2002200000000-2-2000000002-2000000000000
χ2322222222-222-22-2-22-2-2-2-2-2-200220022000000002200000000-2-2000000000000
χ2422222222-222-22-2-22-2-2-2-2-2-200-2-200-2-200000000220000000022000000000000
χ252-2-2-22-222222-2-22-2-2-222i2i−2i−2i00000000000000002i−2i00000000002i−2i2-200000000
χ262-2-2-22-222222-2-22-2-2-222i2i−2i−2i00000000000000002i−2i0000000000−2i2i-2200000000
χ272-2-2-22-222222-2-22-2-2-22−2i−2i2i2i0000000000000000−2i2i00000000002i−2i-2200000000
χ282-2-2-22-222222-2-22-2-2-22−2i−2i2i2i0000000000000000−2i2i0000000000−2i2i2-200000000
χ292-2-2-22-222-2222-2-22-22-22i2i−2i−2i2-20000002-2000000−2i2i0000000000000000002i−2i00
χ302-2-2-22-222-2222-2-22-22-22i2i−2i−2i-22000000-22000000−2i2i000000000000000000−2i2i00
χ312-2-2-22-222-2222-2-22-22-2−2i−2i2i2i2-20000002-20000002i−2i000000000000000000−2i2i00
χ322-2-2-22-222-2222-2-22-22-2−2i−2i2i2i-22000000-220000002i−2i0000000000000000002i−2i00
χ332-2-2-22-222-2-2-222-222-2200002-2000000-220000000022-2-222-2-200000000000000
χ342-2-2-22-222-2-2-222-222-2200002-2000000-2200000000-2-222-2-22200000000000000
χ352-2-2-22-222-2-2-222-222-220000-220000002-20000000022-2-2-2-22200000000000000
χ362-2-2-22-222-2-2-222-222-220000-220000002-200000000-2-22222-2-200000000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ38444-4-4-44-404-40400-4000000000000000000000000000000000000000022−220000
χ39444-4-4-44-404-40400-40000000000000000000000000000000000000000−22220000
χ40444-4-4-44-40-440-40040000000000004i−4i00000000000000000000000000000000
χ41444-4-4-44-40-440-4004000000000000−4i4i00000000000000000000000000000000
χ4244-444-4-4-440040-4-4000000000004-40000000000000000000000000000000000
χ4344-444-4-4-440040-4-400000000000-440000000000000000000000000000000000
χ4444-444-4-4-4-400-404400000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4544-444-4-4-4-400-40440000000000000000000000000−2i22i2−2i22i2000000000000000000
χ4644-4-4-44-44000000000022−2222−220000000000002i2−2i2000000002i−2i2i−2i00000000000000
χ4744-4-4-44-44000000000022−2222−22000000000000−2i22i200000000−2i2i−2i2i00000000000000
χ4844-4-4-44-440000000000−2222−22220000000000002i2−2i200000000−2i2i−2i2i00000000000000
χ4944-4-4-44-440000000000−2222−2222000000000000−2i22i2000000002i−2i2i−2i00000000000000
χ504-444-4-4-4400000000002i2−2i2−2i22i20000000000000022−220000002i−2i−2i2i00000000000000
χ514-444-4-4-4400000000002i2−2i2−2i22i200000000000000−2222000000−2i2i2i−2i00000000000000
χ524-444-4-4-440000000000−2i22i22i2−2i20000000000000022−22000000−2i2i2i−2i00000000000000
χ534-444-4-4-440000000000−2i22i22i2−2i200000000000000−22220000002i−2i−2i2i00000000000000
χ544-44-444-4-4400-40-4400000000000000000000000002i2−2i2−2i22i2000000000000000000
χ554-44-444-4-4400-40-440000000000000000000000000−2i22i22i2−2i2000000000000000000
χ564-44-444-4-4-400404-4000000000000000004i−4i0000000000000000000000000000
χ574-44-444-4-4-400404-400000000000000000−4i4i0000000000000000000000000000
χ584-4-44-444-404-40-40040000000000000000000000000000000000000022−22000000
χ594-4-44-444-404-40-400400000000000000000000000000000000000000−2222000000
χ604-4-44-444-40-440400-4000000004i−4i000000000000000000000000000000000000
χ614-4-44-444-40-440400-400000000−4i4i000000000000000000000000000000000000
χ624-4-4-44-4444-4-4-444-444-400000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).