Finite Group Databasebeta

← Group #292635

Character table — Group #292635

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444442244444444224444444444888888882244448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111-1-1-1-11111-1-1-1-11-1-11111111111-1-111-1-11111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111111-1-1-1-11-1-11-1-1-1-11-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-11-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ91111111111111111-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-111-1-11-1
χ101111111111111111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-111-1-111-11
χ111111111111111111-1-1-1-1111111-1-1-111-1-1-1-1-1111111-1-1-1-111-11-1-1-1-11111-1-1-11
χ121111111111111111-1-1-1-1111111-1-1-111-1-1-1-1-111-1-1-1-1111111-11-1-111-1-1-1-1111-1
χ131111111111111111-1-1-1-11-1-1-1-1111-1-1-111-111-1-11111-1-1-1-1111-1-1-111-1-1-1-111-11
χ141111111111111111-1-1-1-11-1-1-1-1111-1-1-111-111-1-1-1-1-1-11111111-1-1-1-1-11111-1-11-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-111-111111111-1-1-1-1-1-1-1111-1-111-1-1111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-111-11111-1-1-1-11111-1-1-111111-1-111-1-1-11
χ1722222222222-2-2-2-222222-20000-222-20000-200220000000000-2-2000000000000
χ1822222222222-2-2-2-222222-20000-2-2-2-20000-200-2-2000000000022000000000000
χ1922222222222-2-2-2-22-2-2-2-2-20000-22220000200-2-20000000000-22000000000000
χ2022222222222-2-2-2-22-2-2-2-2-20000-2-2-2200002002200000000002-2000000000000
χ2122222222-2-2-22222-222-2-2-22222-2002-2-2-2-2-22200000000000000000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-2-2-20022222-2-2-200000000000000000000000000
χ2322222222-2-2-22222-2-2-222-22222-200-2-2-2222-2-200000000000000000000000000
χ2422222222-2-2-22222-2-2-222-2-2-2-2-2-200-222-2-222200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-220000200-2000020000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-220000200-200002000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222000020020000-20000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222000020020000-2000000000000-22002-20000000000
χ292-222-22-2-222-22-22-2-20000-22i2i−2i−2i20002i−2i0000000000022-2-20000000000002i−2i00
χ302-222-22-2-222-22-22-2-20000-22i2i−2i−2i20002i−2i00000000000-2-222000000000000−2i2i00
χ312-222-22-2-222-22-22-2-20000-2−2i−2i2i2i2000−2i2i0000000000022-2-2000000000000−2i2i00
χ322-222-22-2-222-22-22-2-20000-2−2i−2i2i2i2000−2i2i00000000000-2-2220000000000002i−2i00
χ332-222-22-2-2-2-222-22-22000022i2i−2i−2i-2000−2i2i00000002i2i−2i−2i000000000000002-20000
χ342-222-22-2-2-2-222-22-22000022i2i−2i−2i-2000−2i2i0000000−2i−2i2i2i00000000000000-220000
χ352-222-22-2-2-2-222-22-2200002−2i−2i2i2i-20002i−2i00000002i2i−2i−2i00000000000000-220000
χ362-222-22-2-2-2-222-22-2200002−2i−2i2i2i-20002i−2i0000000−2i−2i2i2i000000000000002-20000
χ372-22-22-2-222-220000-22-22-20000002-2000000002-2i2−i2i2−i2i2−i2i2−i2000000i2−i2i2−i2000000
χ382-22-22-2-222-220000-22-22-20000002-2000000002-2−i2i2−i2i2−i2i2−i2i2000000−i2i2−i2i2000000
χ392-22-22-2-222-220000-22-22-2000000-2200000000-22i2−i2i2−i2i2−i2i2−i2000000−i2i2−i2i2000000
χ402-22-22-2-222-220000-22-22-2000000-2200000000-22−i2i2−i2i2−i2i2−i2i2000000i2−i2i2−i2000000
χ412-22-22-2-222-220000-2-22-220000002-200000000-22i2−i2i2−i2−i2i2−i2i2000000i2−i2−i2i2000000
χ422-22-22-2-222-220000-2-22-220000002-200000000-22−i2i2−i2i2i2−i2i2−i2000000−i2i2i2−i2000000
χ432-22-22-2-222-220000-2-22-22000000-22000000002-2i2−i2i2−i2−i2i2−i2i2000000−i2i2i2−i2000000
χ442-22-22-2-222-220000-2-22-22000000-22000000002-2−i2i2−i2i2i2−i2i2−i2000000i2−i2−i2i2000000
χ45444-4-4-44-44-4-400004000000000000000000000000002i2−2i2−2i22i20000000000000000
χ46444-4-4-44-44-4-40000400000000000000000000000000−2i22i22i2−2i20000000000000000
χ47444-4-4-44-4-4440000-4000000000000000000000022−22−222200000000000000000000
χ48444-4-4-44-4-4440000-40000000000000000000000−222222−2200000000000000000000
χ4944-444-4-4-400044-4-400000000000000004-400000000000000000000000000000
χ5044-444-4-4-400044-4-40000000000000000-4400000000000000000000000000000
χ5144-444-4-4-4000-4-4440000004i−4i4i−4i0000000000000000000000000000000000000
χ5244-444-4-4-4000-4-444000000−4i4i−4i4i0000000000000000000000000000000000000
χ534-444-44-4-444-4-44-44-4000040000-4000000000000000000000000000000000000
χ544-444-44-4-4-4-44-44-4440000-400004000000000000000000000000000000000000
χ554-44-44-4-44-44-4000044-4-44000000000000000000000000000000000000000000
χ564-44-44-4-44-44-400004-444-4000000000000000000000000000000000000000000
χ574-4-44-4-4440004-4-4400000000000000000004-400000000000000000000000000
χ584-4-44-4-4440004-4-440000000000000000000-4400000000000000000000000000
χ594-4-44-4-444000-444-40000004-4-440000000000000000000000000000000000000
χ604-4-44-4-444000-444-4000000-444-40000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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