Finite Group Databasebeta

← Group #119735

Character table — Group #119735

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444488888888888888881616161616161616161616161616161616161616
order12222222444444444424444444444444444444444422448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ911111-1-1111-11-1-1-1-1-11-1111-1-11-1iiii−i−i−i−i1111-1-1-1-11-11-1ii−i−iii−i−iii−i−i11-1-1
χ1011111-1-1111-11-1-1-1-1-11-1111-1-11-1iiii−i−i−i−i1111-1-1-1-1-11-11−i−iii−i−iiiii−i−i-1-111
χ1111111-1-1111-11-1-1-1-1-11-1111-1-11-1iiii−i−i−i−i-1-1-1-111111-11-1ii−i−i−i−iii−i−iii-1-111
χ1211111-1-1111-11-1-1-1-1-11-1111-1-11-1iiii−i−i−i−i-1-1-1-11111-11-11−i−iiiii−i−i−i−iii11-1-1
χ1311111-1-1111-11-1-1-1-1-11-1111-1-11-1−i−i−i−iiiii1111-1-1-1-11-11-1−i−iii−i−iii−i−iii11-1-1
χ1411111-1-1111-11-1-1-1-1-11-1111-1-11-1−i−i−i−iiiii1111-1-1-1-1-11-11ii−i−iii−i−i−i−iii-1-111
χ1511111-1-1111-11-1-1-1-1-11-1111-1-11-1−i−i−i−iiiii-1-1-1-111111-11-1−i−iiiii−i−iii−i−i-1-111
χ1611111-1-1111-11-1-1-1-1-11-1111-1-11-1−i−i−i−iiiii-1-1-1-11111-11-11ii−i−i−i−iiiii−i−i11-1-1
χ1722222222222-222-2-22-222-2-2-2-2-2-200000000000000000000000000002-22-20000
χ1822222222222-222-2-22-222-2-2-2-2-2-20000000000000000000000000000-22-220000
χ1922222222-2-2-22-2-222-222-2-2-2-2-22200000000000000002-2-220000000000000000
χ2022222222-2-2-22-2-222-222-2-2-2-2-2220000000000000000-222-20000000000000000
χ2122222222-2-2-2-2-2-2-2-2-2-22-22222-2-20000000000000000000000002i−2i2i−2i00000000
χ2222222222-2-2-2-2-2-2-2-2-2-22-22222-2-2000000000000000000000000−2i2i−2i2i00000000
χ2322222-2-2222-2-2-2-222-2-2-22-2-222-2200000000000000000000000000002i−2i−2i2i0000
χ2422222-2-2222-2-2-2-222-2-2-22-2-222-220000000000000000000000000000−2i2i2i−2i0000
χ2522222-2-22-2-22222-2-222-2-2-2-2222-2000000000000000022-2-20000000000000000
χ2622222-2-22-2-22222-2-222-2-2-2-2222-20000000000000000-2-2220000000000000000
χ2722222-2-22-2-22-222222-2-2-222-2-2-220000000000000000000000002-2-2200000000
χ2822222-2-22-2-22-222222-2-2-222-2-2-22000000000000000000000000-222-200000000
χ292222-222-22222-2-22222-2-22-22-2-2-2000000000000000000002-22-2000000000000
χ302222-222-22222-2-22222-2-22-22-2-2-200000000000000000000-22-22000000000000
χ312222-222-2222-2-2-2-2-22-2-2-2-22-2222000000000000000000000000000000002i−2i2i−2i
χ322222-222-2222-2-2-2-2-22-2-2-2-22-222200000000000000000000000000000000−2i2i−2i2i
χ332222-222-2-2-2-222222-22-22-22-22-2-222-2-222-2-20000000000000000000000000000
χ342222-222-2-2-2-222222-22-22-22-22-2-2-2-222-2-2220000000000000000000000000000
χ352222-222-2-2-2-2-222-2-2-2-2-222-22-222000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ362222-222-2-2-2-2-222-2-2-2-2-222-22-22200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ372222-2-2-2-222-2222-2-2-222-22-2-22-22000000000000000000002i−2i−2i2i000000000000
χ382222-2-2-2-222-2222-2-2-222-22-2-22-2200000000000000000000−2i2i2i−2i000000000000
χ392222-2-2-2-222-2-22222-2-22-2-222-22-2000000000000000000000000000000002i−2i−2i2i
χ402222-2-2-2-222-2-22222-2-22-2-222-22-200000000000000000000000000000000−2i2i2i−2i
χ412222-2-2-2-2-2-222-2-2-2-22222-222-2-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ422222-2-2-2-2-2-222-2-2-2-22222-222-2-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ432222-2-2-2-2-2-22-2-2-2222-2222-2-222-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ442222-2-2-2-2-2-22-2-2-2222-2222-2-222-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ4544-4-4400-400404-400-40000000002-22-22-22-20000000000000000000000000000
χ4644-4-4400-400404-400-4000000000-22-22-22-220000000000000000000000000000
χ4744-4-4400-400-40-440040000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ4844-4-4400-400-40-44004000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ4944-4-4-40040040-4400-40000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ5044-4-4-40040040-4400-4000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ5144-4-4-400400-404-40040000000002-2-222-2-220000000000000000000000000000
χ5244-4-4-400400-404-4004000000000-222-2-222-20000000000000000000000000000
χ534-4-4404-400004004-40-400000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ544-4-4404-400004004-40-40000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ554-4-4404-40000-400-440400000000000000002-2-222-2-2200000000000000000000
χ564-4-4404-40000-400-44040000000000000000-222-2-222-200000000000000000000
χ574-4-440-440000400-440-400000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ584-4-440-440000400-440-40000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ594-4-440-440000-4004-40400000000000000002-2-22-222-200000000000000000000
χ604-4-440-440000-4004-4040000000000000000-222-22-2-2200000000000000000000
χ618-88-800008i−8i0000000000000000000000000000000000000000000000000000
χ628-88-80000−8i8i0000000000000000000000000000000000000000000000000000

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