Finite Group Databasebeta

← Group #259483

Character table — Group #259483

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442244444444444488888888222444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-11-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-111-1-1-1-11111
χ51111111111111111111111-1-1111-1-1111-1-1-1-111111111-1-1-11-1-1-11-1-1-1-1-1-11111
χ61111111111111111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1
χ71111111111111111111111-1-11-1-1-1-11-1-1111111111111-111-1-111-111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-11111-1-1-111111111-1-1-1-11-1-11-1-1-1-111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-1-11111-1-1-11111-1-1-1-111111-1-11-111-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-1-111-111-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-1-111-111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-111-1-1
χ1722222222222-2-2-22-222-2-2-2-222200-2-2-2000000000000002000-20000000000000
χ1822222222222-2-2-22-222-2-2-2-2-2-220022-200000000000000-200020000000000000
χ1922222222222-2-2-22-2-2-222-2-222-20022200000000000000-2000-20000000000000
χ2022222222222-2-2-22-2-2-222-2-2-2-2-200-2-2200000000000000200020000000000000
χ2122222222-2-2-2222-222222-2-200-22200-222000000000000000-2000-20000000000
χ2222222222-2-2-2222-222222-2-200-2-2-200-2-2-2000000000000000200020000000000
χ2322222222-2-2-2222-22-2-2-2-2-2-200222002-2-2000000000000000-200020000000000
χ2422222222-2-2-2222-22-2-2-2-2-2-2002-2-2002220000000000000002000-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200-2000020022-2-20000000002-2000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200-20000200-2-222000000000-22000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220020000-20022-2-2000000000-22000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222220020000-200-2-2220000000002-2000000000000000
χ2922-2-222-2-222-22-2-2-2200002-200000000002i−2i2i−2i22-2-20000000000002i−2i00000000
χ3022-2-222-2-222-22-2-2-2200002-200000000002i−2i2i−2i-2-222000000000000−2i2i00000000
χ3122-2-222-2-222-22-2-2-2200002-20000000000−2i2i−2i2i22-2-2000000000000−2i2i00000000
χ3222-2-222-2-222-22-2-2-2200002-20000000000−2i2i−2i2i-2-2220000000000002i−2i00000000
χ3322-2-222-2-2-2-22-2222-200002-200000000002i−2i−2i2i00002i2i−2i−2i000002-200000000000
χ3422-2-222-2-2-2-22-2222-200002-200000000002i−2i−2i2i0000−2i−2i2i2i00000-2200000000000
χ3522-2-222-2-2-2-22-2222-200002-20000000000−2i2i2i−2i00002i2i−2i−2i00000-2200000000000
χ3622-2-222-2-2-2-22-2222-200002-20000000000−2i2i2i−2i0000−2i−2i2i2i000002-200000000000
χ372-22-22-22-200022-20-22-22-2000002-20002-20000i2−i2i2−i2i2−i2i2−i200000000000000i2−i2i2−i2
χ382-22-22-22-200022-20-22-22-2000002-20002-20000−i2i2−i2i2−i2i2−i2i200000000000000−i2i2−i2i2
χ392-22-22-22-200022-20-22-22-200000-22000-220000i2−i2i2−i2i2−i2i2−i200000000000000−i2i2−i2i2
χ402-22-22-22-200022-20-22-22-200000-22000-220000−i2i2−i2i2−i2i2−i2i200000000000000i2−i2i2−i2
χ412-22-22-22-200022-20-2-22-22000002-2000-220000i2−i2i2−i2−i2i2−i2i200000000000000i2−i2−i2i2
χ422-22-22-22-200022-20-2-22-22000002-2000-220000−i2i2−i2i2i2−i2i2−i200000000000000−i2i2i2−i2
χ432-22-22-22-200022-20-2-22-2200000-220002-20000i2−i2i2−i2−i2i2−i2i200000000000000−i2i2i2−i2
χ442-22-22-22-200022-20-2-22-2200000-220002-20000−i2i2−i2i2i2−i2i2−i200000000000000i2−i2−i2i2
χ454444-4-4-4-44-44000-400000004-400000000000000000000000000000000000000
χ464444-4-4-4-44-44000-40000000-4400000000000000000000000000000000000000
χ474444-4-4-4-4-44-400040000000000004i−4i000000000000000000000000000000000
χ484444-4-4-4-4-44-40004000000000000−4i4i000000000000000000000000000000000
χ4944-4-444-4-444-4-444-4-40000-440000000000000000000000000000000000000000
χ5044-4-444-4-4-4-444-4-4440000-440000000000000000000000000000000000000000
χ5144-4-4-4-4444-4-4000400000000000000000000000000000000000000022−22000000
χ5244-4-4-4-4444-4-40004000000000000000000000000000000000000000−2222000000
χ5344-4-4-4-444-444000-4000000000000000000000000000000000000000002i2−2i20000
χ5444-4-4-4-444-444000-400000000000000000000000000000000000000000−2i22i20000
χ554-44-44-44-4000-4-44044-4-44000000000000000000000000000000000000000000
χ564-44-44-44-4000-4-4404-444-4000000000000000000000000000000000000000000
χ574-4-444-4-440004-440-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ584-4-444-4-440004-440-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ594-4-444-4-44000-44-40400000000000000000000000022−22−2222000000000000000000
χ604-4-444-4-44000-44-404000000000000000000000000−222222−22000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-88-888-8000000000000000000000000000000000000000000000000000000

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