Finite Group Databasebeta

← Group #454737

Character table — Group #454737

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222244444444444422444444444444444422444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-111-1-1-1-1-1-11111111111-11111-1-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-111111111-1-11-1-1-1-1111-1-11111-1-1-1-1
χ7111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-11111
χ8111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111
χ911111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111-1-11-1-1-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1
χ1111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111
χ1211111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-111-1-1-111-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1111-1-11111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-11-1-111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-111-1-111-1-111-1-1
χ17222222222222-2-2-2-2-2-2-2-222-2-2002-2000000000000000002-2000002-200000000
χ18222222222222-2-2-2-2-2-2-2-222-2-2002-200000000000000000-2200000-2200000000
χ19222222222222-2-2-2-2-2-2-2-2-2-22200-22000000000000000002-200000-2200000000
χ20222222222222-2-2-2-2-2-2-2-2-2-22200-2200000000000000000-22000002-200000000
χ2122222222-2-2-2-2222-2-2-2-22222200-2-2000000000000000020000-22-20000000000
χ2222222222-2-2-2-2222-2-2-2-22222200-2-20000000000000000-200002-220000000000
χ2322222222-2-2-2-2222-2-2-2-22-2-2-2-20022000000000000000020000-2-220000000000
χ2422222222-2-2-2-2222-2-2-2-22-2-2-2-200220000000000000000-2000022-20000000000
χ2522222222-2-2-2-2-2-2-22222-222-2-222-2222-2-2-2-20000000000000000000000000000
χ2622222222-2-2-2-2-2-2-22222-222-2-2-2-2-22-2-222220000000000000000000000000000
χ2722222222-2-2-2-2-2-2-22222-2-2-222222-2-2-222-2-20000000000000000000000000000
χ2822222222-2-2-2-2-2-2-22222-2-2-222-2-22-222-2-2220000000000000000000000000000
χ2922-22-2-2-2222-2-22-2-22-22-22000000002i−2i2i−2i0000000000000002i−2i000002-2000000
χ3022-22-2-2-2222-2-22-2-22-22-22000000002i−2i2i−2i000000000000000−2i2i00000-22000000
χ3122-22-2-2-2222-2-22-2-22-22-2200000000−2i2i−2i2i0000000000000002i−2i00000-22000000
χ3222-22-2-2-2222-2-22-2-22-22-2200000000−2i2i−2i2i000000000000000−2i2i000002-2000000
χ3322-22-2-2-22-2-222-2222-22-2-2000000002i−2i−2i2i00000000002-20000000000002i−2i0000
χ3422-22-2-2-22-2-222-2222-22-2-2000000002i−2i−2i2i0000000000-22000000000000−2i2i0000
χ3522-22-2-2-22-2-222-2222-22-2-200000000−2i2i2i−2i00000000002-2000000000000−2i2i0000
χ3622-22-2-2-22-2-222-2222-22-2-200000000−2i2i2i−2i0000000000-220000000000002i−2i0000
χ372-2-2-222-222-22-222-2-222-2-200002-20000002-22i2i−2i−2i000000000000000000002i−2i00
χ382-2-2-222-222-22-222-2-222-2-200002-20000002-2−2i−2i2i2i00000000000000000000−2i2i00
χ392-2-2-222-222-22-222-2-222-2-20000-22000000-222i2i−2i−2i00000000000000000000−2i2i00
χ402-2-2-222-222-22-222-2-222-2-20000-22000000-22−2i−2i2i2i000000000000000000002i−2i00
χ412-2-2-222-22-22-22-2-22-222-2200002-2000000-22000022-2-20000000000000000002-2
χ422-2-2-222-22-22-22-2-22-222-2200002-2000000-220000-2-222000000000000000000-22
χ432-2-2-222-22-22-22-2-22-222-220000-220000002-2000022-2-2000000000000000000-22
χ442-2-2-222-22-22-22-2-22-222-220000-220000002-20000-2-2220000000000000000002-2
χ4544-44-4-4-4444-4-4-444-44-44-4000000000000000000000000000000000000000000
χ4644-44-4-4-44-4-4444-4-4-44-444000000000000000000000000000000000000000000
χ4744-4-44-44-4000000000000004-400000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4844-4-44-44-4000000000000004-40000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4944-4-44-44-400000000000000-4400000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ5044-4-44-44-400000000000000-440000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ514-4444-4-4-40000000000004i−4i0000000000002-2-222i−2i−2i2i00000000000000000000
χ524-4444-4-4-40000000000004i−4i000000000000-222-2−2i2i2i−2i00000000000000000000
χ534-4444-4-4-4000000000000−4i4i0000000000002-2-22−2i2i2i−2i00000000000000000000
χ544-4444-4-4-4000000000000−4i4i000000000000-222-22i−2i−2i2i00000000000000000000
χ554-44-4-4-4444-4-444-44-4-444-4000000000000000000000000000000000000000000
χ564-44-4-4-4444-4-44-44-444-4-44000000000000000000000000000000000000000000
χ574-44-4-4-444-444-44-4444-4-4-4000000000000000000000000000000000000000000
χ584-44-4-4-444-444-4-44-4-4-4444000000000000000000000000000000000000000000
χ594-4-4-444-444-44-4-4-444-4-444000000000000000000000000000000000000000000
χ604-4-4-444-44-44-4444-44-4-44-4000000000000000000000000000000000000000000
χ61888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-88-888-8000000000000000000000000000000000000000000000000000000

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