Finite Group Databasebeta

← Group #258643

Character table — Group #258643

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444422224444488888888888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1111-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-1-111-1-1
χ1011111111111111111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111
χ1111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111-111-1-111
χ1211111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111-1-1-111-1-1
χ1311111111111111111-1-1-1-1-1-11-1-111-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-11-1-1-1-111
χ1411111111111111111-1-1-1-1-1-11-1-111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111111-1-1
χ1511111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-111111-1-1
χ1611111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-11-1-1-1-111
χ1722222222222-2-2-2-22-222-2-2-2-2-222-2-220000000000000000000000000000-22000000
χ1822222222222-2-2-2-22-222-2-2-2-2-2-2-222200000000000000000000000000002-2000000
χ1922222222222-2-2-2-22-2-2-22222-22222-20000000000000000000000000000-2-2000000
χ2022222222222-2-2-2-22-2-2-22222-2-2-2-2-2-2000000000000000000000000000022000000
χ2122222222-2-2-22222-2-22222-2-2-20000-222-2-200000000000000002-200000000000000
χ2222222222-2-2-22222-2-22222-2-2-20000-2-2-2220000000000000000-2200000000000000
χ2322222222-2-2-22222-2-2-2-2-2-222-20000222-2-20000000000000000-2200000000000000
χ2422222222-2-2-22222-2-2-2-2-2-222-200002-2-22200000000000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22220000-20000000000000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22220000-2000000000000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-22-2-222-2-22000020000000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-22-2-222-2-2200002000000000000000000000000-222-200000000
χ2922-22-2-2-2222-22-22-2-2-20000002000002i−2i2i−2i22-2-2000000000000002i−2i000000000000
χ3022-22-2-2-2222-22-22-2-2-20000002000002i−2i2i−2i-2-22200000000000000−2i2i000000000000
χ3122-22-2-2-2222-22-22-2-2-2000000200000−2i2i−2i2i22-2-200000000000000−2i2i000000000000
χ3222-22-2-2-2222-22-22-2-2-2000000200000−2i2i−2i2i-2-222000000000000002i−2i000000000000
χ3322-22-2-2-22-2-222-22-222000000-2000002i−2i−2i2i00002i2i−2i−2i0000000000000000002-20000
χ3422-22-2-2-22-2-222-22-222000000-2000002i−2i−2i2i0000−2i−2i2i2i000000000000000000-220000
χ3522-22-2-2-22-2-222-22-222000000-200000−2i2i2i−2i00002i2i−2i−2i000000000000000000-220000
χ3622-22-2-2-22-2-222-22-222000000-200000−2i2i2i−2i0000−2i−2i2i2i0000000000000000002-20000
χ372-2-22-222-22-220000-20002-22-202-22-200000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ382-2-22-222-22-220000-20002-22-202-22-200000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ392-2-22-222-22-220000-20002-22-20-22-2200000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ402-2-22-222-22-220000-20002-22-20-22-2200000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ412-2-22-222-22-220000-2000-22-2202-2-2200000i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ422-2-22-222-22-220000-2000-22-2202-2-2200000−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ432-2-22-222-22-220000-2000-22-220-222-200000i2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ442-2-22-222-22-220000-2000-22-220-222-200000−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ4544-44-4-4-4444-4-44-44-44000000-400000000000000000000000000000000000000000
χ4644-44-4-4-44-4-44-44-444-4000000400000000000000000000000000000000000000000
χ4744-4-444-4-40000000004i−4i00000000000000000000002-22-22i−2i2i−2i0000000000000000
χ4844-4-444-4-40000000004i−4i0000000000000000000000-22-22−2i2i−2i2i0000000000000000
χ4944-4-444-4-4000000000−4i4i00000000000000000000002-22-2−2i2i−2i2i0000000000000000
χ5044-4-444-4-4000000000−4i4i0000000000000000000000-22-222i−2i2i−2i0000000000000000
χ514-4444-4-4-44-4-400004000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ524-4444-4-4-44-4-40000400000000000000000−2i22i22i2−2i20000000000000000000000000000
χ534-4444-4-4-4-4440000-400000000000000000000022−22−2222000000000000000000000000
χ544-4444-4-4-4-4440000-4000000000000000000000−222222−22000000000000000000000000
χ554-44-4-44-4400044-4-4000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ564-44-4-44-4400044-4-400000000000000000000000000−2i22i22i2−2i200000000000000000000
χ574-44-4-44-44000-4-44400000000000000000000000000000022−22−22220000000000000000
χ584-44-4-44-44000-4-444000000000000000000000000000000−222222−220000000000000000
χ594-4-44-444-4-44-4000040004-4-44000000000000000000000000000000000000000000
χ604-4-44-444-4-44-400004000-444-4000000000000000000000000000000000000000000
χ614-4-4-44-4440004-4-44000000000000000000000000000000000000000000000022−2200
χ624-4-4-44-4440004-4-440000000000000000000000000000000000000000000000−222200
χ634-4-4-44-444000-444-400000000000000000000000000000000000000000000000022−22
χ644-4-4-44-444000-444-4000000000000000000000000000000000000000000000000−2222
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

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