Finite Group Databasebeta

← Group #303248

Character table — Group #303248

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444422224444444444444888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1
χ311111111111111111111111111-1-1111-1-11111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1
χ411111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111
χ5111111111111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-1
χ6111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-1-11-1-1-11111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11111-11-111-1-1-1-1
χ9111111111111-1-1-1-1-1-11-1-11111111-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1111-1-1-1-111-1-1
χ10111111111111-1-1-1-1-1-11-1-11111111-111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-11-1-111-1-111
χ11111111111111-1-1-1-1-1-11-1-111111-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-11-1-1-11-111-1-111
χ12111111111111-1-1-1-1-1-11-1-111111-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1111-11-1-1-111-1-1
χ13111111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1111111-1-1-1-111
χ14111111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1-11111111-1-1
χ15111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-1
χ16111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-111-1-11-1-1-1-111
χ172222222222222222-2-2-222-2-2-20022-200220000000000000000-2000000-200000000
χ182222222222222222-2-2-222-2-2-200-2-2-200-2-200000000000000002000000200000000
χ19222222222222-2-2-2-222-2-2-2-2-2-20022200-2-200000000000000002000000-200000000
χ20222222222222-2-2-2-222-2-2-2-2-2-200-2-2200220000000000000000-2000000200000000
χ2122222222-2-2-2-2222222-2-2-222-20000-200000000000000000000020-2-200020000000
χ2222222222-2-2-2-2222222-2-2-222-20000-2000000000000000000000-2022000-20000000
χ2322222222-2-2-2-22222-2-22-2-2-2-2222002-2-200000000000000000000-20000002000000
χ2422222222-2-2-2-22222-2-22-2-2-2-22-2-200222000000000000000000002000000-2000000
χ2522222222-2-2-2-2-2-2-2-222222-2-222200-2-2-2000000000000000000002000000-2000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22-2-200-22200000000000000000000-20000002000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-22222-20000200000000000000000000020-22000-20000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-22222-200002000000000000000000000-202-200020000000
χ2922-222-2-2-22-22-22i2i−2i−2i0002i−2i000002-20002i−2i0000000022−2−2i2i2−i2−i20000000000002−2i2−i2
χ3022-222-2-2-22-22-22i2i−2i−2i0002i−2i000002-20002i−2i00000000−2−222−i2−i2i2i2000000000000−22−i2i2
χ3122-222-2-2-22-22-22i2i−2i−2i0002i−2i00000-22000−2i2i0000000022−2−2i2i2−i2−i2000000000000−22−i2i2
χ3222-222-2-2-22-22-22i2i−2i−2i0002i−2i00000-22000−2i2i00000000−2−222−i2−i2i2i20000000000002−2i2−i2
χ3322-222-2-2-22-22-2−2i−2i2i2i000−2i2i000002-2000−2i2i0000000022−2−2−i2−i2i2i20000000000002−2−i2i2
χ3422-222-2-2-22-22-2−2i−2i2i2i000−2i2i000002-2000−2i2i00000000−2−222i2i2−i2−i2000000000000−22i2−i2
χ3522-222-2-2-22-22-2−2i−2i2i2i000−2i2i00000-220002i−2i0000000022−2−2−i2−i2i2i2000000000000−22i2−i2
χ3622-222-2-2-22-22-2−2i−2i2i2i000−2i2i00000-220002i−2i00000000−2−222i2i2−i2−i20000000000002−2−i2i2
χ372-2-22-222-22-2-220000002002-2-22-20002-2002i2i−2i−2i00002i−2i2i−2i00000000000000000000
χ382-2-22-222-22-2-220000002002-2-22-20002-200−2i−2i2i2i0000−2i2i−2i2i00000000000000000000
χ392-2-22-222-22-2-220000002002-2-2-22000-22002i2i−2i−2i0000−2i2i−2i2i00000000000000000000
χ402-2-22-222-22-2-220000002002-2-2-22000-2200−2i−2i2i2i00002i−2i2i−2i00000000000000000000
χ412-2-22-222-2-222-2000000200-22-22-2000-220000002i2i−2i−2i00002i−2i2i−2i0000000000000000
χ422-2-22-222-2-222-2000000200-22-22-2000-22000000−2i−2i2i2i0000−2i2i−2i2i0000000000000000
χ432-2-22-222-2-222-2000000200-22-2-220002-20000002i2i−2i−2i0000−2i2i−2i2i0000000000000000
χ442-2-22-222-2-222-2000000200-22-2-220002-2000000−2i−2i2i2i00002i−2i2i−2i0000000000000000
χ45444-4-4-44-4000000004-40000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ46444-4-4-44-4000000004-4000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ47444-4-4-44-400000000-440000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ48444-4-4-44-400000000-44000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ4944-444-4-4-4-44-444i4i−4i−4i000−4i4i00000000000000000000000000000000000000000000
χ5044-444-4-4-4-44-44−4i−4i4i4i0004i−4i00000000000000000000000000000000000000000000
χ514-444-4-4-4444-4-4000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ524-444-4-4-4444-4-400000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-444-4-4-44-4-44400000000000000000000000000000000022−22−22220000000000000000
χ544-444-4-4-44-4-444000000000000000000000000000000000−222222−220000000000000000
χ554-44-444-4-400004i−4i4i−4i000000000000000000000000000000000000002-20002i−2i0000
χ564-44-444-4-400004i−4i4i−4i00000000000000000000000000000000000000-22000−2i2i0000
χ574-44-444-4-40000−4i4i−4i4i000000000000000000000000000000000000002-2000−2i2i0000
χ584-44-444-4-40000−4i4i−4i4i00000000000000000000000000000000000000-220002i−2i0000
χ594-4-44-444-44-4-44000000-400-44400000000000000000000000000000000000000000
χ604-4-44-444-4-444-4000000-4004-4400000000000000000000000000000000000000000
χ614-4-4-44-44400004-4-44000000000000000002-2-222-2-22000000000000000000000000
χ624-4-4-44-44400004-4-4400000000000000000-222-2-222-2000000000000000000000000
χ634-4-4-44-4440000-444-4000000000000000002-2-22-222-2000000000000000000000000
χ644-4-4-44-4440000-444-400000000000000000-222-22-2-22000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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