Finite Group Databasebeta

← Group #294268

Character table — Group #294268

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444422444444444448888888888888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1
χ5111111111111111111111111-1-1111-1-111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ7111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ8111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ91111111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-111111-1-11-1
χ101111111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-111-11
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-11
χ131111111111111111-1-1-1-1-1-111-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11
χ141111111111111111-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-11111-1-1-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-1111-1
χ172222222222-2-222-2-222-2-222-2-222-200-2-20000000000000000000000200-200000000
χ182222222222-2-222-2-222-2-222-2-2-2-2-200220000000000000000000000-200200000000
χ192222222222-2-222-2-2-2-222-2-2-2-222200220000000000000000000000-200-200000000
χ202222222222-2-222-2-2-2-222-2-2-2-2-2-2200-2-20000000000000000000000200200000000
χ2122222222-2-222-2-2222222-2-2-2-200-2220022000000000000000000000-2-2000000000
χ2222222222-2-222-2-2222222-2-2-2-200-2-2-200-2-200000000000000000000022000000000
χ2322222222-2-222-2-222-2-2-2-222-2-20022200-2-2000000000000000000000-22000000000
χ2422222222-2-222-2-222-2-2-2-222-2-2002-2-200220000000000000000000002-2000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-22200200000022-2-2000000000000000000002-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-222002000000-2-22200000000000000000000-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222200-200000022-2-200000000000000000000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222200-2000000-2-222000000000000000000002-2000000
χ2922-2-2-22-222-22-22-22-20000002-20000000002i−2i2i−2i000022-2-2000000000000002i−2i0000
χ3022-2-2-22-222-22-22-22-20000002-20000000002i−2i2i−2i0000-2-22200000000000000−2i2i0000
χ3122-2-2-22-222-22-22-22-20000002-2000000000−2i2i−2i2i000022-2-200000000000000−2i2i0000
χ3222-2-2-22-222-22-22-22-20000002-2000000000−2i2i−2i2i0000-2-222000000000000002i−2i0000
χ3322-2-2-22-22-22-22-22-220000002-20000000002i−2i−2i2i22-2-2000000000000000000002i−2i00
χ3422-2-2-22-22-22-22-22-220000002-20000000002i−2i−2i2i-2-22200000000000000000000−2i2i00
χ3522-2-2-22-22-22-22-22-220000002-2000000000−2i2i2i−2i22-2-200000000000000000000−2i2i00
χ3622-2-2-22-22-22-22-22-220000002-2000000000−2i2i2i−2i-2-222000000000000000000002i−2i00
χ372-222-22-2-200-2-200222-22-200000002i−2i002i−2i0000i2−i2i2−i2i2−i2i2−i222−2−222−2−2000000000000
χ382-222-22-2-200-2-200222-22-200000002i−2i002i−2i0000−i2i2−i2i2−i2i2−i2i2−2−222−2−222000000000000
χ392-222-22-2-200-2-200222-22-20000000−2i2i00−2i2i0000i2−i2i2−i2i2−i2i2−i2−2−222−2−222000000000000
χ402-222-22-2-200-2-200222-22-20000000−2i2i00−2i2i0000−i2i2−i2i2−i2i2−i2i222−2−222−2−2000000000000
χ412-222-22-2-200-2-20022-22-2200000002i−2i00−2i2i0000i2−i2i2−i2−i2i2−i2i222−2−2−2−222000000000000
χ422-222-22-2-200-2-20022-22-2200000002i−2i00−2i2i0000−i2i2−i2i2i2−i2i2−i2−2−22222−2−2000000000000
χ432-222-22-2-200-2-20022-22-220000000−2i2i002i−2i0000i2−i2i2−i2−i2i2−i2i2−2−22222−2−2000000000000
χ442-222-22-2-200-2-20022-22-220000000−2i2i002i−2i0000−i2i2−i2i2i2−i2i2−i222−2−2−2−222000000000000
χ45444-44-4-4-44-400-44000000000000000000000000000000022−2222−220000000000000000
χ46444-44-4-4-44-400-440000000000000000000000000000000−2222−22220000000000000000
χ47444-44-4-4-4-44004-40000000000000000000000000000000000022−2222−22000000000000
χ48444-44-4-4-4-44004-400000000000000000000000000000000000−2222−2222000000000000
χ4944-44-4-44-44400-4-400000000004-4000000000000000000000000000000000000000
χ5044-44-4-44-44400-4-40000000000-44000000000000000000000000000000000000000
χ5144-44-4-44-4-4-400440000000000000004i−4i0000000000000000000000000000000000
χ5244-44-4-44-4-4-40044000000000000000−4i4i0000000000000000000000000000000000
χ5344-4-4-44-444-4-444-4-44000000-4400000000000000000000000000000000000000000
χ5444-4-4-44-44-444-4-444-4000000-4400000000000000000000000000000000000000000
χ554-444-44-4-4004400-4-44-4-44000000000000000000000000000000000000000000000
χ564-444-44-4-4004400-4-4-444-4000000000000000000000000000000000000000000000
χ574-44-4-4-4440000000000004-4000000000000000000000002-2-222-2-22000000000000
χ584-44-4-4-4440000000000004-400000000000000000000000-222-2-222-2000000000000
χ594-44-4-4-444000000000000-44000000000000000000000002-2-22-222-2000000000000
χ604-44-4-4-444000000000000-4400000000000000000000000-222-22-2-22000000000000
χ614-4-4-4444-4004-400-440000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ624-4-4-4444-4004-400-44000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ634-4-4-4444-400-44004-400000000000000000000000002i2−2i2−2i22i200000000000000000000
χ644-4-4-4444-400-44004-40000000000000000000000000−2i22i22i2−2i200000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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