Finite Group Databasebeta

← Group #343541

Character table — Group #343541

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11-11-1-1-1-1-111-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-11-11-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-111-1-1-1-1-1-1-1-1111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-111-1-1-1-1-11
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-11111-11
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1111111-1-11-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-11-1-111-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1111111-11
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-111111-1-111-1-1-1-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1111111-1-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11111111-1-1-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-11111-1-11111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111
χ17222222222-22-22-22-2-2-2000022220000-2-2-2-200000000002200220-20-200000000000000
χ18222222222-22-22-22-2-2-2000022220000-2-2-2-20000000000-2-200-2-2020200000000000000
χ19222222222-22-22-22-2-2-20000-2-2-2-20000222200000000002200-2-20-20200000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-2000022220000000000-2-20022020-200000000000000
χ2122222222-22-22-22-22-2-222220000-2-2-2-200000000000022002200-20-2000000000000000
χ2222222222-22-22-22-22-2-222220000-2-2-2-2000000000000-2-200-2-200202000000000000000
χ2322222222-22-22-22-22-2-2-2-2-2-2000022220000000000002200-2-200-202000000000000000
χ2422222222-22-22-22-22-2-2-2-2-2-200002222000000000000-2-200220020-2000000000000000
χ2522-22-2-2-2202020-20-20022-2-222−2−2000022−2−22222−2−2−2−22i−2i002i−2i0000000000i2−i200i2−i20000
χ2622-22-2-2-2202020-20-20022-2-222−2−2000022−2−22222−2−2−2−2−2i2i00−2i2i0000000000−i2i200−i2i20000
χ2722-22-2-2-2202020-20-20022-2-2−2−2220000−2−222−2−2−2−222222i−2i002i−2i0000000000−i2i200−i2i20000
χ2822-22-2-2-2202020-20-20022-2-2−2−2220000−2−222−2−2−2−22222−2i2i00−2i2i0000000000i2−i200i2−i20000
χ2922-22-2-2-2202020-20-200-2-22222−2−2000022−2−2−2−2−2−222222i−2i00−2i2i0000000000−i2i200i2−i20000
χ3022-22-2-2-2202020-20-200-2-22222−2−2000022−2−2−2−2−2−22222−2i2i002i−2i0000000000i2−i200−i2i20000
χ3122-22-2-2-2202020-20-200-2-222−2−2220000−2−2222222−2−2−2−22i−2i00−2i2i0000000000i2−i200−i2i20000
χ3222-22-2-2-2202020-20-200-2-222−2−2220000−2−2222222−2−2−2−2−2i2i002i−2i0000000000−i2i200i2−i20000
χ332-22-22-2-222020-20-20002−22−22-22-222−2−2000022−2−222−2−2002i−2i002i−2i0000000000i2−i200i2−i200
χ342-22-22-2-222020-20-20002−22−22-22-222−2−2000022−2−222−2−200−2i2i00−2i2i0000000000−i2i200−i2i200
χ352-22-22-2-222020-20-20002−22−2-22-2222−2−20000−2−222−2−222002i−2i00−2i2i0000000000−i2i200i2−i200
χ362-22-22-2-222020-20-20002−22−2-22-2222−2−20000−2−222−2−22200−2i2i002i−2i0000000000i2−i200−i2i200
χ372-22-22-2-222020-20-2000−22−222-22-2−2−2220000−2−222−2−222002i−2i002i−2i0000000000−i2i200−i2i200
χ382-22-22-2-222020-20-2000−22−222-22-2−2−2220000−2−222−2−22200−2i2i00−2i2i0000000000i2−i200i2−i200
χ392-22-22-2-222020-20-2000−22−22-22-22−2−222000022−2−222−2−2002i−2i00−2i2i0000000000i2−i200−i2i200
χ402-22-22-2-222020-20-2000−22−22-22-22−2−222000022−2−222−2−200−2i2i002i−2i0000000000−i2i200i2−i200
χ412-2-222-22-2-2-222-2-222-2200000000000000002-22-22-22-20000000000002i−2i2i−2i0000000000
χ422-2-222-22-2-2-222-2-222-2200000000000000002-22-22-22-2000000000000−2i2i−2i2i0000000000
χ432-2-222-22-2-2-222-2-222-220000000000000000-22-22-22-220000000000002i−2i−2i2i0000000000
χ442-2-222-22-2-2-222-2-222-220000000000000000-22-22-22-22000000000000−2i2i2i−2i0000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-4-44-400000000000000000022−2222−2222−2222−222-2-22-222-200000000000000000000000000
χ47444-4-4-44-400000000000000000022−2222−22−2222−2222-222-22-2-2200000000000000000000000000
χ48444-4-4-44-4000000000000000000−2222−222222−2222−22-222-22-2-2200000000000000000000000000
χ49444-4-4-44-4000000000000000000−2222−2222−2222−22222-2-22-222-200000000000000000000000000
χ5044-44-4-4-440-40-404040000002222−22−220000−22−2222220000000000000000000000000000000000
χ5144-44-4-4-440-40-40404000000−22−22222200002222−22−220000000000000000000000000000000000
χ5244-4-444-4-440-40-4040000000000000004-4-440000000000000000000000000000000000
χ5344-4-444-4-440-40-404000000000000000-444-40000000000000000000000000000000000
χ5444-4-444-4-4-404040-4000000000000000000022−22−222222−22−222200000000000000000000000000
χ5544-4-444-4-4-404040-40000000000000000000−222222−22−222222−2200000000000000000000000000
χ564-444-44-4-4040-40-40400000000004-4-4400000000000000000000000000000000000000
χ574-444-44-4-4040-40-4040000000000-444-400000000000000000000000000000000000000
χ584-444-44-4-40-404040-400000000000000000022−2222−22−2222−222200000000000000000000000000
χ594-444-44-4-40-404040-4000000000000000000−2222−222222−2222−2200000000000000000000000000
χ604-44-44-4-44-40-4040400022−2222−220000−22−22222200000000000000000000000000000000000000
χ614-44-44-4-44-40-40404000−2222−222200002222−22−2200000000000000000000000000000000000000
χ624-4-444-44-444-4-444-4-4-4400000000000000000000000000000000000000000000000000
χ634-4-444-44-44-4-444-4-444-400000000000000000000000000000000000000000000000000
χ644-4-444-44-4-444-4-444-44-400000000000000000000000000000000000000000000000000
χ654-4-4-4-4444000000000022−22−222222−22−22220000000022-2-2-2-22200000000000000000000000000
χ664-4-4-4-4444000000000022−22−2222−222222−2200000000-2-22222-2-200000000000000000000000000
χ674-4-4-4-44440000000000−222222−2222−22−222200000000-2-22222-2-200000000000000000000000000
χ684-4-4-4-44440000000000−222222−22−222222−220000000022-2-2-2-22200000000000000000000000000

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