Finite Group Databasebeta

← Group #258728

Character table — Group #258728

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444444444444488888888888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-1-11-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1111111
χ5111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-111-1111-1-1-1-1
χ6111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1
χ91111111111111111-1-1-1-1-1-11111-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1
χ101111111111111111-1-1-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-111
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-1-1-111
χ141111111111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-111111-1-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11111-11-1-1-1-111
χ172222222222-2-222-2-222-2-2-2-2-2-200222-2-2000000000000000000200000000-2000000
χ182222222222-2-222-2-222-2-2-2-2-2-2002-2-222000000000000000000-2000000002000000
χ192222222222-2-222-2-2-2-22222-2-200-222-2-2000000000000000000-2000000002000000
χ202222222222-2-222-2-2-2-22222-2-200-2-2-222000000000000000000200000000-2000000
χ2122222222-2-222-2-2222222-2-2-2-222-200002200000000000000000-2000000-20000000
χ2222222222-2-222-2-2222222-2-2-2-2-2-2-20000-2-200000000000000000200000020000000
χ2322222222-2-222-2-222-2-2-2-222-2-22220000-2-2000000000000000002000000-20000000
χ2422222222-2-222-2-222-2-2-2-222-2-2-2-2200002200000000000000000-200000020000000
χ2522222222-2-2-2-2-2-2-2-222-2-2222200-20000000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2222200-2000000000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-2220020000000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-222002000000000000000000000000-222-20000000000
χ292-222-2-2-222-2222-2-2-2000000-220002i−2i2i−2i0022-2-20000000000000000002i−2i00000000
χ302-222-2-2-222-2222-2-2-2000000-220002i−2i2i−2i00-2-222000000000000000000−2i2i00000000
χ312-222-2-2-222-2222-2-2-2000000-22000−2i2i−2i2i0022-2-2000000000000000000−2i2i00000000
χ322-222-2-2-222-2222-2-2-2000000-22000−2i2i−2i2i00-2-2220000000000000000002i−2i00000000
χ332-222-2-2-222-2-2-22-2220000002-20002i−2i−2i2i0000002i2i−2i−2i0000000000000000002-20000
χ342-222-2-2-222-2-2-22-2220000002-20002i−2i−2i2i000000−2i−2i2i2i000000000000000000-220000
χ352-222-2-2-222-2-2-22-2220000002-2000−2i2i2i−2i0000002i2i−2i−2i000000000000000000-220000
χ362-222-2-2-222-2-2-22-2220000002-2000−2i2i2i−2i000000−2i−2i2i2i0000000000000000002-20000
χ372-2-22-222-2002-2002-22i−2i2i−2i00002-2000002i−2i2−22−2i2−i2i2−i222−2−2i2i2−i2−i20000000000000000
χ382-2-22-222-2002-2002-22i−2i2i−2i00002-2000002i−2i−22−22−i2i2−i2i2−2−222−i2−i2i2i20000000000000000
χ392-2-22-222-2002-2002-22i−2i2i−2i0000-2200000−2i2i2−22−2i2−i2i2−i2−2−222−i2−i2i2i20000000000000000
χ402-2-22-222-2002-2002-22i−2i2i−2i0000-2200000−2i2i−22−22−i2i2−i2i222−2−2i2i2−i2−i20000000000000000
χ412-2-22-222-2002-2002-2−2i2i−2i2i00002-200000−2i2i2−22−2−i2i2−i2i222−2−2−i2−i2i2i20000000000000000
χ422-2-22-222-2002-2002-2−2i2i−2i2i00002-200000−2i2i−22−22i2−i2i2−i2−2−222i2i2−i2−i20000000000000000
χ432-2-22-222-2002-2002-2−2i2i−2i2i0000-22000002i−2i2−22−2−i2i2−i2i2−2−222i2i2−i2−i20000000000000000
χ442-2-22-222-2002-2002-2−2i2i−2i2i0000-22000002i−2i−22−22i2−i2i2−i222−2−2−i2−i2i2i20000000000000000
χ45444-4-44-4-44-400-44000000000000000000000000000000000000000000000000022−22
χ46444-4-44-4-44-400-440000000000000000000000000000000000000000000000000−2222
χ47444-4-44-4-4-44004-40000000000000000000000000000000000000000000000022−2200
χ48444-4-44-4-4-44004-400000000000000000000000000000000000000000000000−222200
χ4944-444-4-4-4004-400-440000000000000000022−22−22220000000000000000000000000000
χ5044-444-4-4-4004-400-4400000000000000000−222222−220000000000000000000000000000
χ5144-444-4-4-400-44004-400000000000000000000022−22−2222000000000000000000000000
χ5244-444-4-4-400-44004-4000000000000000000000−222222−22000000000000000000000000
χ5344-4-4-4-4440000000000004-400000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ5444-4-4-4-4440000000000004-40000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ5544-4-4-4-444000000000000-4400000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ5644-4-4-4-444000000000000-440000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ574-444-4-4-44-4444-44-4-40000004-400000000000000000000000000000000000000000
χ584-444-4-4-44-44-4-4-4444000000-4400000000000000000000000000000000000000000
χ594-44-44-44-44400-4-4000000000000000000000000000000022−22−22220000000000000000
χ604-44-44-44-44400-4-40000000000000000000000000000000−222222−220000000000000000
χ614-44-44-44-4-4-400440000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ624-44-44-44-4-4-40044000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ634-4-44-444-400-4400-444i−4i−4i4i000000000000000000000000000000000000000000000
χ644-4-44-444-400-4400-44−4i4i4i−4i000000000000000000000000000000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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