Finite Group Databasebeta

← Group #255147

Character table — Group #255147

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444422444444444444444888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111
χ5111111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-11111
χ7111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-11-1111111-1-1-1-1
χ9111111111111-1-1-1-1-1-11-1-111111-1111111-1-1-1-111-1-11111-1-1-1-11-1-1-11-11-111-1-111-1-1
χ10111111111111-1-1-1-1-1-11-1-111111-1111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-1-11-1-111-1-111
χ11111111111111-1-1-1-1-1-11-1-111111-111-1-1-1-1111111-1-1-1-1-1-111111-1-1-11-11-1-1-111-1-111
χ12111111111111-1-1-1-1-1-11-1-111111-111-1-1-1-11111-1-111-1-1-1-11111-11-11-1-1-1111-1-111-1-1
χ13111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111-1-11-1111-1-1-1-111
χ14111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-11-11-1-11111-1-1
χ16111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111111-111-1-1-1-111
χ172222222222222222-2-2-222-2-2-200-20000000000222200000000-200-2000000000000
χ182222222222222222-2-2-222-2-2-200-20000000000-2-2-2-2000000002002000000000000
χ19222222222222-2-2-2-222-2-2-2-2-2-2002000000000022-2-200000000-2002000000000000
χ20222222222222-2-2-2-222-2-2-2-2-2-20020000000000-2-22200000000200-2000000000000
χ2122222222-2-2-2-22222222-2-2-2-2222-2-2-20000000000000000000000-20020000000000
χ2222222222-2-2-2-22222222-2-2-2-22-2-2-2220000000000000000000000200-20000000000
χ2322222222-2-2-2-22222-2-2-2-2-222-20020000000000000000000000020020-2-200000000
χ2422222222-2-2-2-22222-2-2-2-2-222-200200000000000000000000000-200-202200000000
χ2522222222-2-2-2-2-2-2-2-222-22222-200-200000000000000000000000200-202-200000000
χ2622222222-2-2-2-2-2-2-2-222-22222-200-200000000000000000000000-20020-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-22222-2-20000000000000000000000200-20000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-22-2-22220000000000000000000000-20020000000000
χ292-222-2-22-22-22-22i2i−2i−2i0002i−2i00000000000000002i−2i2-2i2i2−i2−i222−2−20000000000002−2i2−i2
χ302-222-2-22-22-22-22i2i−2i−2i0002i−2i00000000000000002i−2i2-2−i2−i2i2i2−2−222000000000000−22−i2i2
χ312-222-2-22-22-22-22i2i−2i−2i0002i−2i0000000000000000−2i2i-22i2i2−i2−i222−2−2000000000000−22−i2i2
χ322-222-2-22-22-22-22i2i−2i−2i0002i−2i0000000000000000−2i2i-22−i2−i2i2i2−2−2220000000000002−2i2−i2
χ332-222-2-22-22-22-2−2i−2i2i2i000−2i2i00000000000000002i−2i-22i2i2−i2−i2−2−2220000000000002−2−i2i2
χ342-222-2-22-22-22-2−2i−2i2i2i000−2i2i00000000000000002i−2i-22−i2−i2i2i222−2−2000000000000−22i2−i2
χ352-222-2-22-22-22-2−2i−2i2i2i000−2i2i0000000000000000−2i2i2-2i2i2−i2−i2−2−222000000000000−22i2−i2
χ362-222-2-22-22-22-2−2i−2i2i2i000−2i2i0000000000000000−2i2i2-2−i2−i2i2i222−2−20000000000002−2−i2i2
χ372-2-222-2-222-2-220000002002-2-22-202-22i2i−2i−2i000000002i−2i2i−2i00000000000000000000
χ382-2-222-2-222-2-220000002002-2-22-202-2−2i−2i2i2i00000000−2i2i−2i2i00000000000000000000
χ392-2-222-2-222-2-220000002002-2-2-220-222i2i−2i−2i00000000−2i2i−2i2i00000000000000000000
χ402-2-222-2-222-2-220000002002-2-2-220-22−2i−2i2i2i000000002i−2i2i−2i00000000000000000000
χ412-2-222-2-22-222-2000000200-22-22-20-2200002i2i−2i−2i000000002i−2i2i−2i0000000000000000
χ422-2-222-2-22-222-2000000200-22-22-20-220000−2i−2i2i2i00000000−2i2i−2i2i0000000000000000
χ432-2-222-2-22-222-2000000200-22-2-2202-200002i2i−2i−2i00000000−2i2i−2i2i0000000000000000
χ442-2-222-2-22-222-2000000200-22-2-2202-20000−2i−2i2i2i000000002i−2i2i−2i0000000000000000
χ4544-44-44-4-444-4-40000000000000000000000000000022−22−222200000000000000000000
χ4644-44-44-4-444-4-400000000000000000000000000000−222222−2200000000000000000000
χ4744-44-44-4-4-4-4440000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ4844-44-44-4-4-4-444000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ4944-4-44-44-400004i−4i4i−4i00000000000002i−2i2i−2i2-22-20000000000000000000000000000
χ5044-4-44-44-400004i−4i4i−4i0000000000000−2i2i−2i2i-22-220000000000000000000000000000
χ5144-4-44-44-40000−4i4i−4i4i00000000000002i−2i2i−2i-22-220000000000000000000000000000
χ5244-4-44-44-40000−4i4i−4i4i0000000000000−2i2i−2i2i2-22-20000000000000000000000000000
χ534-444-4-44-4-44-444i4i−4i−4i000−4i4i00000000000000000000000000000000000000000000
χ544-444-4-44-4-44-44−4i−4i4i4i0004i−4i00000000000000000000000000000000000000000000
χ554-44-444-4-4000000004i−4i000000000002-2-222i−2i−2i2i0000000000000000000000000000
χ564-44-444-4-4000000004i−4i00000000000-222-2−2i2i2i−2i0000000000000000000000000000
χ574-44-444-4-400000000−4i4i000000000002-2-22−2i2i2i−2i0000000000000000000000000000
χ584-44-444-4-400000000−4i4i00000000000-222-22i−2i−2i2i0000000000000000000000000000
χ594-4-444-4-444-4-44000000-400-44400000000000000000000000000000000000000000
χ604-4-444-4-44-444-4000000-4004-4400000000000000000000000000000000000000000
χ614-4-4-4-444400004-4-44000000000000000000000000000000000000000002-22-20000
χ624-4-4-4-444400004-4-4400000000000000000000000000000000000000000-22-220000
χ634-4-4-4-44440000-444-4000000000000000000000000000000000000000002-2-220000
χ644-4-4-4-44440000-444-400000000000000000000000000000000000000000-222-20000
χ65888-8-8-8-88000000000000000000000000000000000000000000000000000000000

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