Finite Group Databasebeta

← Group #271594

Character table — Group #271594

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444222444444444888888882244448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111-1-1-1-11-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1111-111-1-111-1-11-1
χ6111111111111111111111-1-1-1-11-1-1-111-1-1-1-1-111-1-1-1-11111-1-1111-1-1-111-1-111-11
χ7111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1-11111-1-1-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1111-1
χ911111111111111111-1-1-1-1111111-1-1111-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1
χ1011111111111111111-1-1-1-1111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ1111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-11-11111-111-1-1-1-11111-1-1-1-111-1-11-111-1-1-1-111-11
χ1411111111111111111-1-1-1-1-1-1-1-11-11111-111-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-11-1
χ1511111111111111111-1-1-1-1-1-1-1-11-111-1-1-11111-1-11111-1-1-1-1-1-111-11-1-111-1-1111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-111-1-1-11111-1-1-1-1-1-11111-1-111-1111-1-111-1-1-11
χ1722222222222-2-2-2-22-200002222-2-20022-2002200000000000000-2-20000000000
χ1822222222222-2-2-2-22-200002222-2-200-2-2-200-2-200000000000000220000000000
χ1922222222222-2-2-2-22-20000-2-2-2-2-220022200-2-200000000000000-220000000000
χ2022222222222-2-2-2-22-20000-2-2-2-2-2200-2-220022000000000000002-20000000000
χ2122222222-2-2-22222-2-2222222-2-2-2-222002-2-200-2-2000000000000000000000000
χ2222222222-2-2-22222-2-22222-2-222-22-2-200-22200-2-2000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2002220022000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-222-222200-2-2-20022000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22000022-2-2220000-2000000000000002-22-2000000000000
χ2622222222-2-2-2-2-2-2-2-22000022-2-2220000-200000000000000-22-22000000000000
χ2722222222-2-2-2-2-2-2-2-220000-2-2222-200002000000000000002-2-22000000000000
χ2822222222-2-2-2-2-2-2-2-220000-2-2222-20000200000000000000-222-2000000000000
χ292-2-2-222-2222-22-22-2-2222-2-20000-200000000002-200002i2i−2i−2i0000000000002i−2i00
χ302-2-2-222-2222-22-22-2-2222-2-20000-200000000002-20000−2i−2i2i2i000000000000−2i2i00
χ312-2-2-222-2222-22-22-2-22-2-2220000-20000000000-2200002i2i−2i−2i000000000000−2i2i00
χ322-2-2-222-2222-22-22-2-22-2-2220000-20000000000-220000−2i−2i2i2i0000000000002i−2i00
χ332-2-2-222-22-2-222-22-22-222-2-2000020000000000-2222-2-2000000000000002-20000
χ342-2-2-222-22-2-222-22-22-222-2-2000020000000000-22-2-22200000000000000-220000
χ352-2-2-222-22-2-222-22-22-2-2-2220000200000000002-222-2-200000000000000-220000
χ362-2-2-222-22-2-222-22-22-2-2-2220000200000000002-2-2-222000000000000002-20000
χ37444-44-4-4-44-440000-400000000000004-40000000000000000000000000000000
χ38444-44-4-4-44-440000-40000000000000-440000000000000000000000000000000
χ39444-44-4-4-4-44-4000040000000000000000004i−4i00000000000000000000000000
χ40444-44-4-4-4-44-400004000000000000000000−4i4i00000000000000000000000000
χ4144-44-4-4-440004-4-44004i−4i4i−4i00000000000000000000000000000000000000000
χ4244-44-4-4-440004-4-4400−4i4i−4i4i00000000000000000000000000000000000000000
χ4344-44-4-4-44000-444-4000000000000000004i−4i0000000000000000000000000000
χ4444-44-4-4-44000-444-400000000000000000−4i4i0000000000000000000000000000
χ4544-4-4-444-40000000000000004i−4i00000000000002i−2i2i−2i2-22-20000000000000000
χ4644-4-4-444-40000000000000004i−4i0000000000000−2i2i−2i2i-22-220000000000000000
χ4744-4-4-444-4000000000000000−4i4i00000000000002i−2i2i−2i-22-220000000000000000
χ4844-4-4-444-4000000000000000−4i4i0000000000000−2i2i−2i2i2-22-20000000000000000
χ494-444-44-4-400000000000004-40000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ504-444-44-4-400000000000004-4000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ514-444-44-4-40000000000000-440000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ524-444-44-4-40000000000000-44000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ534-44-4-4-44400044-4-4004i−4i−4i4i00000000000000000000000000000000000000000
χ544-44-4-4-44400044-4-400−4i4i4i−4i00000000000000000000000000000000000000000
χ554-44-4-4-444000-4-4440000000000004-4000000000000000000000000000000000
χ564-44-4-4-444000-4-444000000000000-44000000000000000000000000000000000
χ574-4-444-44-44-4-4000040000000000000000000000000000000000000022−22000000
χ584-4-444-44-44-4-40000400000000000000000000000000000000000000−2222000000
χ594-4-444-44-4-4440000-40000000000000000000000000000000000002i2−2i200000000
χ604-4-444-44-4-4440000-4000000000000000000000000000000000000−2i22i200000000
χ614-4-4-444-4444-4-44-44-4-4000000004000000000000000000000000000000000000
χ624-4-4-444-44-4-44-44-444400000000-4000000000000000000000000000000000000

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