Finite Group Databasebeta

← Group #258455

Character table — Group #258455

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442222224444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-11-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ711111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-111111111-1-111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ911111111111111111-1-1-1-1-1-111111-1-111-1-111-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-1
χ1011111111111111111-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-111
χ1111111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-111
χ1211111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-11111-1111-1-1-1-111-1-11111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-11-1-1-111-1-111-1-11111-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111111-111-1-1-1-11111-1-1-1-111
χ1511111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1111111-1-1-1-1-1111-1-111-1-1-1-111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-111-1-1-1-11111-11-1-11111-1-111-1-111-1-1
χ172222222222-2-222-2-2-222-2-2222222-2220000-2-2-2-2-200000000000000000000000000
χ182222222222-2-222-2-2-222-2-222-2-2-2-2-2-2-2000022-22200000000000000000000000000
χ192222222222-2-222-2-2-2-2-222-2-22222-2-2-20000-2-222200000000000000000000000000
χ202222222222-2-222-2-2-2-2-222-2-2-2-2-2-2-2220000222-2-200000000000000000000000000
χ2122222222-2-222-2-222-222-2-2-2-20000-20022-2-20020000000000-220000000000000000
χ2222222222-2-222-2-222-222-2-2-2-20000-200-2-22200200000000002-20000000000000000
χ2322222222-2-222-2-222-2-2-222220000-200222200-20000000000-2-20000000000000000
χ2422222222-2-222-2-222-2-2-222220000-200-2-2-2-200-20000000000220000000000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-20000200000000-200000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-222222-2-20000200000000-20000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-22-2-2-2-2220000200000000200000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-22-2-2-2-222000020000000020000000000000000-222-200000000
χ2922-2-22-22-22-2222-2-2-2-20000002i2i−2i−2i20000002i−2i00000000000002i−2i00000000002-200
χ3022-2-22-22-22-2222-2-2-2-20000002i2i−2i−2i20000002i−2i0000000000000−2i2i0000000000-2200
χ3122-2-22-22-22-2222-2-2-2-2000000−2i−2i2i2i2000000−2i2i00000000000002i−2i0000000000-2200
χ3222-2-22-22-22-2222-2-2-2-2000000−2i−2i2i2i2000000−2i2i0000000000000−2i2i00000000002-200
χ3322-2-22-22-22-2-2-22-22220000002i2i−2i−2i-2000000−2i2i0000000000000002-200000000002i−2i
χ3422-2-22-22-22-2-2-22-22220000002i2i−2i−2i-2000000−2i2i000000000000000-220000000000−2i2i
χ3522-2-22-22-22-2-2-22-2222000000−2i−2i2i2i-20000002i−2i0000000000000002-20000000000−2i2i
χ3622-2-22-22-22-2-2-22-2222000000−2i−2i2i2i-20000002i−2i000000000000000-2200000000002i−2i
χ372-22-22-2-222200-2-20002-2002-22-22-202-2000000000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ382-22-22-2-222200-2-20002-2002-22-22-202-2000000000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ392-22-22-2-222200-2-20002-2002-2-22-220-22000000000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ402-22-22-2-222200-2-20002-2002-2-22-220-22000000000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ412-22-22-2-222200-2-2000-2200-222-22-20-22000000000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ422-22-22-2-222200-2-2000-2200-222-22-20-22000000000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ432-22-22-2-222200-2-2000-2200-22-22-2202-2000000000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ442-22-22-2-222200-2-2000-2200-22-22-2202-2000000000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ454444-4-4-4-4000000000004-40000000000000000002-22-22-22-2000000000000000000
χ464444-4-4-4-4000000000004-4000000000000000000-22-22-22-22000000000000000000
χ474444-4-4-4-400000000000-440000000000000000002-22-2-22-22000000000000000000
χ484444-4-4-4-400000000000-44000000000000000000-22-222-22-2000000000000000000
χ4944-4-44-44-4-4444-44-4-440000000000-40000000000000000000000000000000000000
χ5044-4-44-44-4-44-4-4-4444-4000000000040000000000000000000000000000000000000
χ514-44-44-4-44-4-400440004-400-44000000000000000000000000000000000000000000
χ524-44-44-4-44-4-40044000-44004-4000000000000000000000000000000000000000000
χ534-44-4-444-4004-4004-40000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ544-44-4-444-4004-4004-4000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ554-44-4-444-400-4400-44000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ564-44-4-444-400-4400-4400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ574-4-4444-4-44-400-440000000004i−4i−4i4i00000000000000000000000000000000000000
χ584-4-4444-4-44-400-44000000000−4i4i4i−4i00000000000000000000000000000000000000
χ594-4-4444-4-4-44004-4000000000000000000000004i−4i00000000000000000000000000
χ604-4-4444-4-4-44004-400000000000000000000000−4i4i00000000000000000000000000
χ614-4-44-4-444004-400-4400000000000000004-40000000000000000000000000000000
χ624-4-44-4-444004-400-440000000000000000-440000000000000000000000000000000
χ634-4-44-4-44400-44004-4000000000000004-4000000000000000000000000000000000
χ644-4-44-4-44400-44004-400000000000000-44000000000000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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