Finite Group Databasebeta

← Group #167373

Character table — Group #167373

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444422444444488888888888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111-1-1-111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11111-1-11-1-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-1-11-111-1-111
χ1111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11111-11-1-11-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-11-1-111111-1-1
χ1311111111-1-1-1-1-1-1-1-111-1-11111-1-111-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-1111-111-1-111
χ1411111111-1-1-1-1-1-1-1-111-1-11111-1-111-111-1-1-1-1-1-11111-1-1-1-11111-11-111-1111-1-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11-11-111111-1-1
χ1611111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-111-1-1-1-111111111-1-1-1-11-1-1111-11-11-1-1-1-111
χ1722222222222222222-2-2-2-22-2-22222-20000000000000000000000-20000-200000000
χ1822222222222222222-2-2-2-22-2-2-2-2-2-2-2000000000000000000000020000200000000
χ19222222222222-2-2-2-2-2222-2-22-20000-2000000000000000000002-2000-22000000000
χ20222222222222-2-2-2-2-2222-2-22-20000-200000000000000000000-220002-2000000000
χ21222222222222-2-2-2-2-2-2-2-22-2-220000222-2-2000000000000000000000000-22000000
χ22222222222222-2-2-2-2-2-2-2-22-2-2200002-2-2220000000000000000000000002-2000000
χ2322222222-2-2-2-22222-22-2-2-2-22-2000020000000000000000000022000-2-2000000000
χ2422222222-2-2-2-22222-22-2-2-2-22-20000200000000000000000000-2-200022000000000
χ2522222222-2-2-2-22222-2-2222-2-220000-22222000000000000000000000000-2-2000000
χ2622222222-2-2-2-22222-2-2222-2-220000-2-2-2-2-200000000000000000000000022000000
χ2722222222-2-2-2-2-2-2-2-22-222-22-2-222-2-220000000000000000000000-20000200000000
χ2822222222-2-2-2-2-2-2-2-22-222-22-2-2-2-2222000000000000000000000020000-200000000
χ292222-2-2-2-222-2-222-2-220000-2002-22-2000000000000022−2−222−2−20000000000002−22−2
χ302222-2-2-2-222-2-222-2-220000-2002-22-20000000000000−2−222−2−222000000000000−22−22
χ312222-2-2-2-222-2-222-2-220000-200-22-22000000000000022−2−222−2−2000000000000−22−22
χ322222-2-2-2-222-2-222-2-220000-200-22-220000000000000−2−222−2−2220000000000002−22−2
χ332222-2-2-2-2-2-222-2-22220000-2002-2-22000000000000022−2−2−2−2220000000000002−2−22
χ342222-2-2-2-2-2-222-2-22220000-2002-2-220000000000000−2−22222−2−2000000000000−222−2
χ352222-2-2-2-2-2-222-2-22220000-200-222-2000000000000022−2−2−2−222000000000000−222−2
χ362222-2-2-2-2-2-222-2-22220000-200-222-20000000000000−2−22222−2−20000000000002−2−22
χ372-2-22-22-2200002-22-2002-2200-2000002i−2i2i−2i22−2−222−2−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ382-2-22-22-2200002-22-2002-2200-2000002i−2i2i−2i−2−222−2−222−i2i2−i2i2−i2i2−i2i20000000000000000
χ392-2-22-22-2200002-22-2002-2200-200000−2i2i−2i2i22−2−222−2−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ402-2-22-22-2200002-22-2002-2200-200000−2i2i−2i2i−2−222−2−222i2−i2i2−i2i2−i2i2−i20000000000000000
χ412-2-22-22-220000-22-2200-22200-2000002i−2i−2i2i22−2−2−2−222i2−i2i2−i2−i2i2−i2i20000000000000000
χ422-2-22-22-220000-22-2200-22200-2000002i−2i−2i2i−2−22222−2−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ432-2-22-22-220000-22-2200-22200-200000−2i2i2i−2i22−2−2−2−222−i2i2−i2i2i2−i2i2−i20000000000000000
χ442-2-22-22-220000-22-2200-22200-200000−2i2i2i−2i−2−22222−2−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ454444-4-4-4-444-4-4-4-444-4000040000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-44444-4-4-4000040000000000000000000000000000000000000000000
χ4744-4-444-4-400000000040000-4000000000022−2222−220000000000000000000000000000
χ4844-4-444-4-400000000040000-40000000000−2222−22220000000000000000000000000000
χ4944-4-444-4-4000000000-400004000000000000002i2−2i22i2−2i2000000000000000000000000
χ5044-4-444-4-4000000000-40000400000000000000−2i22i2−2i22i2000000000000000000000000
χ514-44-44-4-444i−4i4i−4i00000000000000000000000000000000000000002i−2i000002-20000
χ524-44-44-4-444i−4i4i−4i0000000000000000000000000000000000000000−2i2i00000-220000
χ534-44-44-4-44−4i4i−4i4i00000000000000000000000000000000000000002i−2i00000-220000
χ544-44-44-4-44−4i4i−4i4i0000000000000000000000000000000000000000−2i2i000002-20000
χ554-44-4-444-44i−4i−4i4i0000000000000000000002-2-222i−2i−2i2i000000000000000000000000
χ564-44-4-444-44i−4i−4i4i000000000000000000000-222-2−2i2i2i−2i000000000000000000000000
χ574-44-4-444-4−4i4i4i−4i0000000000000000000002-2-22−2i2i2i−2i000000000000000000000000
χ584-44-4-444-4−4i4i4i−4i000000000000000000000-222-22i−2i−2i2i000000000000000000000000
χ594-4-444-44-400004-4-4400000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ604-4-444-44-400004-4-440000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ614-4-444-44-40000-444-400000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ624-4-444-44-40000-444-40000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ634-4-44-44-4400004-44-400-44-400400000000000000000000000000000000000000000
χ644-4-44-44-440000-44-44004-4-400400000000000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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