Finite Group Databasebeta

← Group #326027

Character table — Group #326027

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444444444444444444441616161616161616161616161616161632323232
order12222222444444444488888888888888888888888844444444888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-11-11-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-11-11-11-11-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-111-1-1-1-11-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-1-1-1-1-111-11-11
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1111111-1-1-11-11
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111111-11-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1111-1111-1-1-1-1-1-11-1-11
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11-1-1-11111-1-111-111-1
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1111-1-1-1-111-1-1-111-1
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-11111111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-11111-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-111-1-1-1-111-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-111-1-1
χ17222222222-22-22-22-2-2-2000022220000-2-2-2-200000000020-20-202000000000000
χ18222222222-22-22-22-2-2-2000022220000-2-2-2-2000000000-202020-2000000000000
χ19222222222-22-22-22-2-2-20000-2-2-2-2000022220000000002020-20-2000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-200002222000000000-20-20202000000000000
χ2122222222-22-22-22-22-2-222220000-2-2-2-200000000000020-20-2020000000000000
χ2222222222-22-22-22-22-2-222220000-2-2-2-2000000000000-202020-20000000000000
χ2322222222-22-22-22-22-2-2-2-2-2-2000022220000000000002020-20-20000000000000
χ2422222222-22-22-22-22-2-2-2-2-2-200002222000000000000-20-202020000000000000
χ252-2-222-2-2222-2-222-2-2-222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2222-2-2-2-200000000000000000000
χ262-2-222-2-2222-2-222-2-2-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-2-2-2-2222200000000000000000000
χ272-2-222-2-2222-2-222-2-2-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-2-2-2-2222200000000000000000000
χ282-2-222-2-2222-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2222-2-2-2-200000000000000000000
χ292-2-222-2-222-2-222-2-222-200002i2i−2i−2i0000−2i−2i2i2i0000000000000000002i−2i002-20000
χ302-2-222-2-222-2-222-2-222-200002i2i−2i−2i0000−2i−2i2i2i000000000000000000−2i2i00-220000
χ312-2-222-2-222-2-222-2-222-20000−2i−2i2i2i00002i2i−2i−2i0000000000000000002i−2i00-220000
χ322-2-222-2-222-2-222-2-222-20000−2i−2i2i2i00002i2i−2i−2i000000000000000000−2i2i002-20000
χ332-2-222-2-22-222-2-222-22-22i2i−2i−2i0000−2i−2i2i2i000000000000000000002i−2i002-2000000
χ342-2-222-2-22-222-2-222-22-22i2i−2i−2i0000−2i−2i2i2i00000000000000000000−2i2i00-22000000
χ352-2-222-2-22-222-2-222-22-2−2i−2i2i2i00002i2i−2i−2i000000000000000000002i−2i00-22000000
χ362-2-222-2-22-222-2-222-22-2−2i−2i2i2i00002i2i−2i−2i00000000000000000000−2i2i002-2000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ38444-4-4-4-440000000000000000002i2−2i22i2−2i22i2−2i22i2−2i222-2-222-2-200000000000000000000
χ39444-4-4-4-440000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2-2-222-2-22200000000000000000000
χ40444-4-4-4-44000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2-2-222-2-22200000000000000000000
χ41444-4-4-4-44000000000000000000−2i22i2−2i22i2−2i22i2−2i22i222-2-222-2-200000000000000000000
χ4244-44-44-4-4040-40-40400000000000000000022−2222−2222−2222−2200000000000000000000
χ4344-44-44-4-4040-40-404000000000000000000−2222−2222−2222−222200000000000000000000
χ4444-44-44-4-40-404040-4004-44-40000000000000000000000000000000000000000
χ4544-44-44-4-40-404040-400-44-440000000000000000000000000000000000000000
χ4644-4-44-44-44040-40-4000000000000000000022−22−222222−22−222200000000000000000000
χ4744-4-44-44-44040-40-40000000000000000000−222222−22−222222−2200000000000000000000
χ4844-4-44-44-4-40-4040400000004i−4i4i−4i000000000000000000000000000000000000
χ4944-4-44-44-4-40-404040000000−4i4i−4i4i000000000000000000000000000000000000
χ504-444-4-44-404040-40-400000000000000000022−2222−22−2222−222200000000000000000000
χ514-444-4-44-404040-40-4000000000000000000−2222−222222−2222−2200000000000000000000
χ524-444-4-44-40-40-40404004i−4i−4i4i0000000000000000000000000000000000000000
χ534-444-4-44-40-40-4040400−4i4i4i−4i0000000000000000000000000000000000000000
χ544-44-444-4-440-40-404000000000000000000022−22−2222−222222−2200000000000000000000
χ554-44-444-4-440-40-4040000000000000000000−222222−2222−22−222200000000000000000000
χ564-44-444-4-4-404040-400000004-4-44000000000000000000000000000000000000
χ574-44-444-4-4-404040-40000000-444-4000000000000000000000000000000000000
χ584-4-444-4-44-4-444-4-444-4400000000000000000000000000000000000000000000
χ594-4-4-4-444400000000000000000022−22−222222−22−222222-2-2-2-22200000000000000000000
χ604-4-4-4-444400000000000000000022−22−2222−222222−22-2-22222-2-200000000000000000000
χ614-4-4-4-4444000000000000000000−222222−2222−22−2222-2-22222-2-200000000000000000000
χ624-4-4-4-4444000000000000000000−222222−22−222222−2222-2-2-2-22200000000000000000000

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