Finite Group Databasebeta

← Group #349591

Character table — Group #349591

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444224444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-11111-1-111-1-1-1-11-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-11111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111111-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111111111-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-11
χ1211111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-11-1
χ1311111111111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-11
χ1411111111111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1
χ1511111111111111111-1-11-1-1-1-111-1-111-1-1-1-11111-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1611111111111111111-1-11-1-1-1-111-1-111-1-1-1-11111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-222-2-2-222-2002-200222200-2-20000-200-2-20000000000000000000000
χ182222222222-2-222-2-2-222-2002-200-2-2-2-200220000-200220000000000000000000000
χ192222222222-2-222-2-2-2-2-2-200-220022-2-200-2-20000200220000000000000000000000
χ202222222222-2-222-2-2-2-2-2-200-2200-2-22200220000200-2-20000000000000000000000
χ2122222222-2-222-2-222-222-222-2-2220000-2-20000002-2-2000000000000000000000000
χ2222222222-2-222-2-222-222-2-2-2-2-2-2-2000022000000222000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-22222-2-20000-2-2000000-222000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-22222000022000000-2-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200-22000000000022-2-2-2000022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222200-220000000000-2-222-20000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22002-2000000000022-2-220000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22002-20000000000-2-2222000022-2-2000000000000000000
χ292-22-2-222-22222-2-2-2-2200-22-200002-2002-22-22-22-2000000000000000000000000000
χ302-22-2-222-22222-2-2-2-2200-22-20000-22002-2-22-22-22000000000000000000000000000
χ312-22-2-222-22222-2-2-2-2200-2-2200002-200-222-2-22-22000000000000000000000000000
χ322-22-2-222-22222-2-2-2-2200-2-220000-2200-22-222-22-2000000000000000000000000000
χ332-22-2-222-222-2-2-2-222-200200002i−2i2-20000-22000002i−2i002i−2i2i−2i000000000000000000
χ342-22-2-222-222-2-2-2-222-200200002i−2i-2200002-2000002i−2i00−2i2i−2i2i000000000000000000
χ352-22-2-222-222-2-2-2-222-20020000−2i2i2-20000-2200000−2i2i00−2i2i−2i2i000000000000000000
χ362-22-2-222-222-2-2-2-222-20020000−2i2i-2200002-200000−2i2i002i−2i2i−2i000000000000000000
χ372-22-2-222-2-2-22222-2-2-20022-20000002i−2i-220000000002i−2i2i−2i−2i2i000000000000000000
χ382-22-2-222-2-2-22222-2-2-20022-2000000−2i2i-22000000000−2i2i−2i2i2i−2i000000000000000000
χ392-22-2-222-2-2-22222-2-2-2002-220000002i−2i2-20000000002i−2i−2i2i2i−2i000000000000000000
χ402-22-2-222-2-2-22222-2-2-2002-22000000−2i2i2-2000000000−2i2i2i−2i−2i2i000000000000000000
χ412-22-2-222-2-2-2-2-22222200-200002i−2i002i−2i00002-2-220−2i2i−2i2i0000000000000000000000
χ422-22-2-222-2-2-2-2-22222200-200002i−2i00−2i2i0000-222-20−2i2i2i−2i0000000000000000000000
χ432-22-2-222-2-2-2-2-22222200-20000−2i2i002i−2i0000-222-202i−2i−2i2i0000000000000000000000
χ442-22-2-222-2-2-2-2-22222200-20000−2i2i00−2i2i00002-2-2202i−2i2i−2i0000000000000000000000
χ4544-44-44-4-4004-4004-40000000000000000000000000000000000000000022−22000000
χ4644-44-44-4-4004-4004-400000000000000000000000000000000000000000−2222000000
χ4744-44-44-4-400-4400-4400000000000000000000000000000000000000022−2200000000
χ4844-44-44-4-400-4400-44000000000000000000000000000000000000000−222200000000
χ4944-4-44-44-44-4004-400000000000000000000000000000000000002222−22−220000000000
χ5044-4-44-44-44-4004-40000000000000000000000000000000000000−22−2222220000000000
χ5144-4-44-44-4-4400-440000000000000000000000000000000002222−22−2200000000000000
χ5244-4-44-44-4-4400-44000000000000000000000000000000000−22−22222200000000000000
χ534-4444-4-4-40000000004-400000000000000000000000000002-22-22-22-20000000000
χ544-4444-4-4-40000000004-40000000000000000000000000000-22-22-22-220000000000
χ554-4444-4-4-4000000000-4400000000000000000000000000002-22-2-22-220000000000
χ564-4444-4-4-4000000000-440000000000000000000000000000-22-222-22-20000000000
χ574-4-44-4-4444-400-440000000000000000000000000000000000000000000000022−2200
χ584-4-44-4-4444-400-4400000000000000000000000000000000000000000000000−222200
χ594-4-44-4-444-44004-400000000000000000000000000000000000000000000022−220000
χ604-4-44-4-444-44004-4000000000000000000000000000000000000000000000−22220000
χ614-4-4-444-44004-400-440000000000000000000000000000000000022−22−22220000000000
χ624-4-4-444-44004-400-4400000000000000000000000000000000000−222222−220000000000
χ634-4-4-444-4400-44004-4000000000000000000000000000000022−22−222200000000000000
χ644-4-4-444-4400-44004-40000000000000000000000000000000−222222−2200000000000000
χ65888-8-8-8-88000000000000000000000000000000000000000000000000000000000

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