Finite Group Databasebeta

← Group #295986

Character table — Group #295986

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
χ311111111111111111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111
χ411111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1
χ5111111111111111111111111-1-111-1-1111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ911111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-111111-1-11-1
χ1011111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-111-11
χ1111111111111111111-1-1-1-1-1-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1
χ1211111111111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-11
χ1311111111111111111-1-1-1-1-1-11-1-11111-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11
χ1411111111111111111-1-1-1-1-1-11-1-11111-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11-1
χ1511111111111111111-1-1-1-1-1-11-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-11111-1-1-11
χ1611111111111111111-1-1-1-1-1-11-1-1-1-111-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-1111-1
χ172222222222-2-222-2-2-22222-2-2-2002200-222000000000000000000000-2-2000000000
χ182222222222-2-222-2-2-22222-2-2-200-2-200-2-2-200000000000000000000022000000000
χ192222222222-2-222-2-2-2-2-2-2-222-20022002-2-2000000000000000000000-22000000000
χ202222222222-2-222-2-2-2-2-2-2-222-200-2-2002220000000000000000000002-2000000000
χ2122222222-2-222-2-222-222-2-222-22200-2-2-20000000000000000000000200-200000000
χ2222222222-2-222-2-222-222-2-222-2-2-20022-20000000000000000000000-200200000000
χ2322222222-2-222-2-222-2-2-222-2-2-222002220000000000000000000000-200-200000000
χ2422222222-2-222-2-222-2-2-222-2-2-2-2-200-2-220000000000000000000000200200000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-2200000020022-2-2000000000000000000002-2000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-22000000200-2-22200000000000000000000-22000000
χ2722222222-2-2-2-2-2-2-2-22-2-222222000000-20022-2-200000000000000000000-22000000
χ2822222222-2-2-2-2-2-2-2-22-2-222222000000-200-2-222000000000000000000002-2000000
χ2922-2-2-222-22-22-22-22-2-200000020000000002i−2i2i−2i00002i2i−2i−2i000000000000002-20000
χ3022-2-2-222-22-22-22-22-2-200000020000000002i−2i2i−2i0000−2i−2i2i2i00000000000000-220000
χ3122-2-2-222-22-22-22-22-2-20000002000000000−2i2i−2i2i00002i2i−2i−2i00000000000000-220000
χ3222-2-2-222-22-22-22-22-2-20000002000000000−2i2i−2i2i0000−2i−2i2i2i000000000000002-20000
χ3322-2-2-222-2-22-22-22-22-200000020000000002i−2i−2i2i2i2i−2i−2i000000000000000000002-200
χ3422-2-2-222-2-22-22-22-22-200000020000000002i−2i−2i2i−2i−2i2i2i00000000000000000000-2200
χ3522-2-2-222-2-22-22-22-22-20000002000000000−2i2i2i−2i2i2i−2i−2i00000000000000000000-2200
χ3622-2-2-222-2-22-22-22-22-20000002000000000−2i2i2i−2i−2i−2i2i2i000000000000000000002-200
χ372-222-22-2-2-2-200220002-22-2000002i−2i0002i−2i0000i2−i2i2−i2i2−i2i2−i222−2−222−2−2000000000000
χ382-222-22-2-2-2-200220002-22-2000002i−2i0002i−2i0000−i2i2−i2i2−i2i2−i2i2−2−222−2−222000000000000
χ392-222-22-2-2-2-200220002-22-200000−2i2i000−2i2i0000i2−i2i2−i2i2−i2i2−i2−2−222−2−222000000000000
χ402-222-22-2-2-2-200220002-22-200000−2i2i000−2i2i0000−i2i2−i2i2−i2i2−i2i222−2−222−2−2000000000000
χ412-222-22-2-2-2-20022000-22-22000002i−2i000−2i2i0000i2−i2i2−i2−i2i2−i2i222−2−2−2−222000000000000
χ422-222-22-2-2-2-20022000-22-22000002i−2i000−2i2i0000−i2i2−i2i2i2−i2i2−i2−2−22222−2−2000000000000
χ432-222-22-2-2-2-20022000-22-2200000−2i2i0002i−2i0000i2−i2i2−i2−i2i2−i2i2−2−22222−2−2000000000000
χ442-222-22-2-2-2-20022000-22-2200000−2i2i0002i−2i0000−i2i2−i2i2i2−i2i2−i222−2−2−2−222000000000000
χ45444-44-4-4-400000000000004-400000000000000000000002-22-22-22-2000000000000
χ46444-44-4-4-400000000000004-40000000000000000000000-22-22-22-22000000000000
χ47444-44-4-4-40000000000000-4400000000000000000000002-22-2-22-22000000000000
χ48444-44-4-4-40000000000000-440000000000000000000000-22-222-22-2000000000000
χ4944-4-4-444-44-4-444-4-444000000-400000000000000000000000000000000000000000
χ5044-4-4-444-4-444-4-444-44000000-400000000000000000000000000000000000000000
χ514-444-44-4-44400-4-40004-4-4400000000000000000000000000000000000000000000
χ524-444-44-4-44400-4-4000-444-400000000000000000000000000000000000000000000
χ534-44-4-4-444004-400-440000000000000000000000000000022−22−22220000000000000000
χ544-44-4-4-444004-400-4400000000000000000000000000000−222222−220000000000000000
χ554-44-4-4-44400-44004-400000000000000000000000000000000022−22−2222000000000000
χ564-44-4-4-44400-44004-4000000000000000000000000000000000−222222−22000000000000
χ574-4-444-44-4004400-4-4000000004-4000000000000000000000000000000000000000
χ584-4-444-44-4004400-4-400000000-44000000000000000000000000000000000000000
χ594-4-444-44-400-4-400440000000000004i−4i00000000000000000000000000000000000
χ604-4-444-44-400-4-40044000000000000−4i4i00000000000000000000000000000000000
χ614-4-4-444-444-400-440000000000000000000000022−22−2222000000000000000000000000
χ624-4-4-444-444-400-4400000000000000000000000−222222−22000000000000000000000000
χ634-4-4-444-44-44004-400000000000000000000000000022−22−222200000000000000000000
χ644-4-4-444-44-44004-4000000000000000000000000000−222222−2200000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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