Finite Group Databasebeta

← Group #349587

Character table — Group #349587

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444222244444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111111-1-1-1-1-1-1111-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111-1-111111-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1111-1-1-1-111-1-1-1-11-1-111-1-1-1-111111111111-1-1-1-11111-1-1
χ611111111111111111111-1-1111-1-1-1-111-1-1-1-11-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-11-1-1-1-1-1-111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-1111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-111-1-111-1-1-11111-1-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-111-1-111-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-1-111-1-11111-11111-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-111-1-1-1-1-1-1-111-1-11111-11111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-222-2-222-2-20022-20000-2-20000-2002200002-2-2000000000000000000
χ182222222222-2-222-2-222-2-200-2-2-20000220000-200-2-20000222000000000000000000
χ192222222222-2-222-2-2-2-2-2-2002220000-2-20000200-2-20000-222000000000000000000
χ202222222222-2-222-2-2-2-2-2-200-2-220000220000200220000-2-2-2000000000000000000
χ2122222222-2-222-2-22222-2-222002-2-2-2-2000000-222000000-200000000000000000000
χ2222222222-2-222-2-22222-2-2-2-20022222000000-2-2-2000000-200000000000000000000
χ2322222222-2-222-2-222-2-2-2-22200-2-2-2220000002-2-2000000200000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-200-222-2-2000000222000000200000000000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-200000022-2-22000022-2-2-200000000000000000000
χ2622222222-2-2-2-2-2-2-2-222220000-2000000-2-22220000-2-222-200000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2220000200000022-2-2-20000-2-222200000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200002000000-2-222-2000022-2-2200000000000000000000
χ292-222-22-2-22222-2-2-2-2002-22-22-202-2002-22-22-2000000000000000000000000000000
χ302-222-22-2-22222-2-2-2-2002-22-2-2202-200-22-22-22000000000000000000000000000000
χ312-222-22-2-22222-2-2-2-2002-2-222-20-22002-2-22-22000000000000000000000000000000
χ322-222-22-2-22222-2-2-2-2002-2-22-220-2200-222-22-2000000000000000000000000000000
χ332-222-22-2-222-2-2-2-22200-22002-20002i−2i-22000002i−2i002i−2i2i−2i000000000000000000000
χ342-222-22-2-222-2-2-2-22200-22002-2000−2i2i-2200000−2i2i00−2i2i−2i2i000000000000000000000
χ352-222-22-2-222-2-2-2-22200-2200-220002i−2i2-2000002i−2i00−2i2i−2i2i000000000000000000000
χ362-222-22-2-222-2-2-2-22200-2200-22000−2i2i2-200000−2i2i002i−2i2i−2i000000000000000000000
χ372-222-22-2-2-2-22222-2-200-222-2000-22000000000002i−2i2i−2i−2i2i02i−2i000000000000000000
χ382-222-22-2-2-2-22222-2-200-222-2000-2200000000000−2i2i−2i2i2i−2i0−2i2i000000000000000000
χ392-222-22-2-2-2-22222-2-200-22-220002-2000000000002i−2i−2i2i2i−2i02i−2i000000000000000000
χ402-222-22-2-2-2-22222-2-200-22-220002-200000000000−2i2i2i−2i−2i2i0−2i2i000000000000000000
χ412-222-22-2-2-2-2-2-22222002-200000002i−2i002-2-220−2i2i−2i2i000002i−2i000000000000000000
χ422-222-22-2-2-2-2-2-22222002-200000002i−2i00-222-20−2i2i2i−2i00000−2i2i000000000000000000
χ432-222-22-2-2-2-2-2-22222002-20000000−2i2i002-2-2202i−2i2i−2i00000−2i2i000000000000000000
χ442-222-22-2-2-2-2-2-22222002-20000000−2i2i00-222-202i−2i−2i2i000002i−2i000000000000000000
χ45444-44-4-4-4004-4004-4000000000000000000000000000000000002222−22−220000000000
χ46444-44-4-4-4004-4004-400000000000000000000000000000000000−22−2222220000000000
χ47444-44-4-4-400-4400-4400000000000000000000000000000002222−22−2200000000000000
χ48444-44-4-4-400-4400-440000000000000000000000000000000−22−22222200000000000000
χ4944-44-4-4-444-4004-400000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ5044-44-4-4-444-4004-40000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ5144-44-4-4-44-4400-440000000000000000000000000000000002i2−2i22i2−2i200000000000000
χ5244-44-4-4-44-4400-44000000000000000000000000000000000−2i22i2−2i22i200000000000000
χ5344-4-4-444-4000000004-4000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ5444-4-4-444-4000000004-400000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ5544-4-4-444-400000000-44000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ5644-4-4-444-400000000-4400000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ574-44-4-4-444004-400-440000000000000000000000000000000000000000022−22000000
χ584-44-4-4-444004-400-4400000000000000000000000000000000000000000−2222000000
χ594-44-4-4-44400-44004-400000000000000000000000000000000000000022−2200000000
χ604-44-4-4-44400-44004-4000000000000000000000000000000000000000−222200000000
χ614-4-444-44-44-400-44000000000000000000000000000000000000000000000002i2−2i200
χ624-4-444-44-44-400-4400000000000000000000000000000000000000000000000−2i22i200
χ634-4-444-44-4-44004-40000000000000000000000000000000000000000000002i2−2i20000
χ644-4-444-44-4-44004-4000000000000000000000000000000000000000000000−2i22i20000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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