Finite Group Databasebeta

← Group #257905

Character table — Group #257905

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444442244444444444444488888888888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ5111111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1
χ6111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11-1-1-1-11111
χ7111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-11111-1-1-1-1
χ91111111111111111-1-1-1-1-1-11111-1-1-111111111-1-1-1-11111-1-1-1-11-1-111-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1111-1-111-1-111
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1-1-111-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-111111111-1-1-1-1-11-1-1-111-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-11-1-11111-1-1
χ161111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1111-1-1-1-111
χ172222222222-2-222-2-22222-2-2-2-222-22200000000000000000000-2-200000000000000
χ182222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2000000000000000000002200000000000000
χ192222222222-2-222-2-2-2-2-2-222-2-2222-2-200000000000000000000-2200000000000000
χ202222222222-2-222-2-2-2-2-2-222-2-2-2-2222000000000000000000002-200000000000000
χ2122222222-2-222-2-22222-2-2-2-2-2-20020022-2-2000000000000000000-20000200000000
χ2222222222-2-222-2-22222-2-2-2-2-2-200200-2-22200000000000000000020000-200000000
χ2322222222-2-222-2-222-2-22222-2-200-20022-2-200000000000000000020000-200000000
χ2422222222-2-222-2-222-2-22222-2-200-200-2-222000000000000000000-20000200000000
χ2522222222-2-2-2-2-2-2-2-222-2-2222200-200000000000000000000000002-22-2000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2222200-20000000000000000000000000-22-22000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-22200200000000000000000000000002-2-22000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-2220020000000000000000000000000-222-2000000000
χ292-2222-2-2-22-2-2-22-2220000002-2000002i−2i2i−2i000022-2-20000000000000000002i−2i0000
χ302-2222-2-2-22-2-2-22-2220000002-2000002i−2i2i−2i0000-2-222000000000000000000−2i2i0000
χ312-2222-2-2-22-2-2-22-2220000002-200000−2i2i−2i2i000022-2-2000000000000000000−2i2i0000
χ322-2222-2-2-22-2-2-22-2220000002-200000−2i2i−2i2i0000-2-2220000000000000000002i−2i0000
χ332-2222-2-2-2-22-2-2-2222000000-22000002i−2i−2i2i22-2-2000000000000000000002i−2i000000
χ342-2222-2-2-2-22-2-2-2222000000-22000002i−2i−2i2i-2-22200000000000000000000−2i2i000000
χ352-2222-2-2-2-22-2-2-2222000000-2200000−2i2i2i−2i22-2-200000000000000000000−2i2i000000
χ362-2222-2-2-2-22-2-2-2222000000-2200000−2i2i2i−2i-2-222000000000000000000002i−2i000000
χ372-22-2-22-222200-2-2002-22-200002i−2i02i−2i00002−22−22−22−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ382-22-2-22-222200-2-2002-22-200002i−2i02i−2i0000−22−22−22−22−i2−i2i2i2−i2−i2i2i20000000000000000
χ392-22-2-22-222200-2-2002-22-20000−2i2i0−2i2i00002−22−22−22−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ402-22-2-22-222200-2-2002-22-20000−2i2i0−2i2i0000−22−22−22−22i2i2−i2−i2i2i2−i2−i20000000000000000
χ412-22-2-22-222200-2-200-22-2200002i−2i0−2i2i00002−22−2−22−22i2i2−i2−i2−i2−i2i2i20000000000000000
χ422-22-2-22-222200-2-200-22-2200002i−2i0−2i2i0000−22−222−22−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ432-22-2-22-222200-2-200-22-220000−2i2i02i−2i00002−22−2−22−22−i2−i2i2i2i2i2−i2−i20000000000000000
χ442-22-2-22-222200-2-200-22-220000−2i2i02i−2i0000−22−222−22−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ45444-4-4-44-44-400-440000000000000000000000022−22−2222000000000000000000000000
χ46444-4-4-44-44-400-4400000000000000000000000−222222−22000000000000000000000000
χ47444-4-4-44-4-44004-4000000000000000000022−22−22220000000000000000000000000000
χ48444-4-4-44-4-44004-40000000000000000000−222222−220000000000000000000000000000
χ4944-44-44-4-40000000000004-400000000000000000002-22-22-22-20000000000000000
χ5044-44-44-4-40000000000004-40000000000000000000-22-22-22-220000000000000000
χ5144-44-44-4-4000000000000-4400000000000000000002-22-2-22-220000000000000000
χ5244-44-44-4-4000000000000-440000000000000000000-22-222-22-20000000000000000
χ5344-4-44-4-44004-4004-40000000000000000000000000000000000000000000002i2−2i200
χ5444-4-44-4-44004-4004-4000000000000000000000000000000000000000000000−2i22i200
χ5544-4-44-4-4400-4400-44000000000000000000000000000000000000000000000002i2−2i2
χ5644-4-44-4-4400-4400-4400000000000000000000000000000000000000000000000−2i22i2
χ574-4444-4-4-44-4444-4-4-4000000-4400000000000000000000000000000000000000000
χ584-4444-4-4-4-4444-44-4-40000004-400000000000000000000000000000000000000000
χ594-44-4-44-44-4-40044004-4-44000000000000000000000000000000000000000000000
χ604-44-4-44-44-4-4004400-444-4000000000000000000000000000000000000000000000
χ614-4-4-4444-4004-400-44000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ624-4-4-4444-4004-400-4400000000000000000000000000000−2i22i22i2−2i20000000000000000
χ634-4-4-4444-400-44004-400000000000000000000000002i2−2i2−2i22i200000000000000000000
χ644-4-4-4444-400-44004-40000000000000000000000000−2i22i22i2−2i200000000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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