Finite Group Databasebeta

← Group #348830

Character table — Group #348830

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444222222444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-111-1-1111-1-111-1-1-1-111-1-11111111111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-111-1-1111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ911111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11-1
χ1011111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ1111111111111111111-1-111111-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1211111111111111111-1-111111-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1311111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111-11
χ1411111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111-1-11-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11
χ1611111111111111111-1-11-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1111-1
χ1722222222222-2-2-22-2-222-2000022-2-222002-2-200000000-2-200000000000000000000
χ1822222222222-2-2-22-2-222-20000-2-2-2-2-2-200222000000002200000000000000000000
χ1922222222222-2-2-22-2-2-2-2-200002222-2-200-22200000000-2-200000000000000000000
χ2022222222222-2-2-22-2-2-2-2-20000-2-2222200-2-2-2000000002200000000000000000000
χ2122222222-2-2-2222-22-222-20000002-20022-200-2-200002200-2-2000000000000000000
χ2222222222-2-2-2222-22-222-20000002-200-2-2-200220000-2-20022000000000000000000
χ2322222222-2-2-2222-22-2-2-2-2000000-220022200220000-2-200-2-2000000000000000000
χ2422222222-2-2-2222-22-2-2-2-2000000-2200-2-2200-2-20000220022000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-200-220000-2000022-2-2000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-22200-220000-20000-2-222000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2222-2-2002-2000020000-2-222000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22-2-222002-200002000022-2-2000000000000000000000000
χ292-22-22-2-2222-222-2-2-2-20022-22-200002i−2i0002i−2i2i−2i00002i−2i0000000000000000000000
χ302-22-22-2-2222-222-2-2-2-20022-22-20000−2i2i000−2i2i−2i2i0000−2i2i0000000000000000000000
χ312-22-22-2-2222-222-2-2-2-2002-22-2200002i−2i0002i−2i−2i2i0000−2i2i0000000000000000000000
χ322-22-22-2-2222-222-2-2-2-2002-22-220000−2i2i000−2i2i2i−2i00002i−2i0000000000000000000000
χ332-22-22-2-2222-2-2-22-22200-2000000002i−2i2-20−2i2i002i−2i2i−2i00002-2000000000000000000
χ342-22-22-2-2222-2-2-22-22200-2000000002i−2i-220−2i2i00−2i2i−2i2i0000-22000000000000000000
χ352-22-22-2-2222-2-2-22-22200-200000000−2i2i2-202i−2i00−2i2i−2i2i00002-2000000000000000000
χ362-22-22-2-2222-2-2-22-22200-200000000−2i2i-2202i−2i002i−2i2i−2i0000-22000000000000000000
χ372-22-22-2-22-2-2222-22-2200-200002-20000000002i−2i2i−2i−2i2i−2i2i2-200000000000000000000
χ382-22-22-2-22-2-2222-22-2200-200002-2000000000−2i2i−2i2i2i−2i2i−2i2-200000000000000000000
χ392-22-22-2-22-2-2222-22-2200-20000-220000000002i−2i−2i2i2i−2i−2i2i-2200000000000000000000
χ402-22-22-2-22-2-2222-22-2200-20000-22000000000−2i2i2i−2i−2i2i2i−2i-2200000000000000000000
χ412-22-22-2-22-2-22-2-2222-20022-2-222-20000-2200000000000-222-2000000000000000000
χ422-22-22-2-22-2-22-2-2222-20022-2-22-2200002-2000000000002-2-22000000000000000000
χ432-22-22-2-22-2-22-2-2222-2002-222-22-200002-200000000000-22-22000000000000000000
χ442-22-22-2-22-2-22-2-2222-2002-222-2-220000-22000000000002-22-2000000000000000000
χ4544-444-4-4-44-44000-4000000000000000000000000000000002222−22−2200000000000000
χ4644-444-4-4-44-44000-400000000000000000000000000000000−22−22222200000000000000
χ4744-444-4-4-4-44-400040000000000000000000000000000000000002i22i2−2i2−2i20000000000
χ4844-444-4-4-4-44-40004000000000000000000000000000000000000−2i2−2i22i22i20000000000
χ4944-4-4-4-4440004-440-400000000000000000000000000000000000000000002i2−2i20000
χ5044-4-4-4-4440004-440-40000000000000000000000000000000000000000000−2i22i20000
χ5144-4-4-4-444000-44-40400000000000000000000000000000000000000000000022−2200
χ5244-4-4-4-444000-44-404000000000000000000000000000000000000000000000−222200
χ534-444-4-44-40000000004-400000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000
χ544-444-4-44-40000000004-40000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000
χ554-444-4-44-4000000000-4400000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000
χ564-444-4-44-4000000000-440000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000
χ574-4-44-44-440004-4-4040000000000000000000000000000000000022−22−22220000000000
χ584-4-44-44-440004-4-40400000000000000000000000000000000000−222222−220000000000
χ594-4-44-44-44000-4440-400000000000000000000000000000002i2−2i2−2i22i200000000000000
χ604-4-44-44-44000-4440-40000000000000000000000000000000−2i22i22i2−2i200000000000000
χ614-4-4-4444-44-4-4000400000000000000000000000000000000000000000022−22000000
χ624-4-4-4444-44-4-40004000000000000000000000000000000000000000000−2222000000
χ634-4-4-4444-4-444000-400000000000000000000000000000000000000002i2−2i200000000
χ644-4-4-4444-4-444000-40000000000000000000000000000000000000000−2i22i200000000
χ65888-8-88-8-8000000000000000000000000000000000000000000000000000000000

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