Finite Group Databasebeta

← Group #283047

Character table — Group #283047

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111111111-1-1-1
χ911111111111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-11-1-11111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-111-1-11111-1-111-1
χ172222222222-2-2-2-222-22222-200000022-2-2000000000022-2-200000-20000000000000
χ182222222222-2-2-2-222-22222-2000000-2-2-2-20000000000-2-2220000020000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-200000022220000000000-2-22200000-20000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-2000000-2-222000000000022-2-20000020000000000000
χ2122222222-2-22222-2-2-20000-2222222000022-2-2-2-2000000000000-200000000000000
χ2222222222-2-22222-2-2-20000-22222-2-20000-2-222-2-2000000000000200000000000000
χ2322222222-2-22222-2-2-20000-2-2-2-2-2220000-2-2-2-222000000000000200000000000000
χ2422222222-2-22222-2-2-20000-2-2-2-2-2-2-20000222222000000000000-200000000000000
χ2522-2-2-222-22-200002-2022-2-20i2i2−i2−i2002i−2i000000i2−i2i2i2−i2−i22i−2i0022−2−2000000002−200000
χ2622-2-2-222-22-200002-2022-2-20i2i2−i2−i200−2i2i000000i2−i2i2i2−i2−i2−2i2i00−2−22200000000−2200000
χ2722-2-2-222-22-200002-2022-2-20−i2−i2i2i2002i−2i000000−i2i2−i2−i2i2i22i−2i00−2−22200000000−2200000
χ2822-2-2-222-22-200002-2022-2-20−i2−i2i2i200−2i2i000000−i2i2−i2−i2i2i2−2i2i0022−2−2000000002−200000
χ2922-2-2-222-22-200002-20-2-2220i2i2−i2−i2002i−2i000000i2−i2−i2−i2i2i2−2i2i00−2−222000000002−200000
χ3022-2-2-222-22-200002-20-2-2220i2i2−i2−i200−2i2i000000i2−i2−i2−i2i2i22i−2i0022−2−200000000−2200000
χ3122-2-2-222-22-200002-20-2-2220−i2−i2i2i2002i−2i000000−i2i2i2i2−i2−i2−2i2i0022−2−200000000−2200000
χ3222-2-2-222-22-200002-20-2-2220−i2−i2i2i200−2i2i000000−i2i2i2i2−i2−i22i−2i00−2−222000000002−200000
χ332-2-22-22-222222-2-2-2-2-22i−2i2i−2i2000000002i−2i0000000000000000000000002-2002i−2i000
χ342-2-22-22-222222-2-2-2-2-22i−2i2i−2i2000000002i−2i000000000000000000000000-2200−2i2i000
χ352-2-22-22-222222-2-2-2-2-2−2i2i−2i2i200000000−2i2i0000000000000000000000002-200−2i2i000
χ362-2-22-22-222222-2-2-2-2-2−2i2i−2i2i200000000−2i2i000000000000000000000000-22002i−2i000
χ372-2-22-22-2222-2-222-2-222i−2i2i−2i-200002-200−2i2i002-200000000000000002i−2i00000000000
χ382-2-22-22-2222-2-222-2-222i−2i2i−2i-20000-2200−2i2i00-220000000000000000−2i2i00000000000
χ392-2-22-22-2222-2-222-2-22−2i2i−2i2i-200002-2002i−2i002-20000000000000000−2i2i00000000000
χ402-2-22-22-2222-2-222-2-22−2i2i−2i2i-20000-22002i−2i00-2200000000000000002i−2i00000000000
χ412-2-22-22-22-2-2-2-22222-20000200002-2000000-22002-22-20000000000002-2000000000
χ422-2-22-22-22-2-2-2-22222-20000200002-2000000-2200-22-22000000000000-22000000000
χ432-2-22-22-22-2-2-2-22222-2000020000-220000002-2002-22-2000000000000-22000000000
χ442-2-22-22-22-2-2-2-22222-2000020000-220000002-200-22-220000000000002-2000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-44004-44-40000000000000000000000000000000000000000000000002i2−2i20
χ47444-4-4-4-44004-44-4000000000000000000000000000000000000000000000000−2i22i20
χ48444-4-4-4-4400-44-440000000000000000004i−4i0000000000000000000000000000000
χ49444-4-4-4-4400-44-44000000000000000000−4i4i0000000000000000000000000000000
χ5044-4-4-444-4-440000-440000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5144-4-4-444-4-440000-44000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ524-444-4-44-4000000000000002i2−2i22i2−2i20000000000000000002i2−2i22-22-2000000000000000
χ534-444-4-44-4000000000000002i2−2i22i2−2i2000000000000000000−2i22i2-22-22000000000000000
χ544-444-4-44-400000000000000−2i22i2−2i22i20000000000000000002i2−2i2-22-22000000000000000
χ554-444-4-44-400000000000000−2i22i2−2i22i2000000000000000000−2i22i22-22-2000000000000000
χ564-44-444-4-44-40000-4404i−4i−4i4i00000000000000000000000000000000000000000000
χ574-44-444-4-44-40000-440−4i4i4i−4i00000000000000000000000000000000000000000000
χ584-44-444-4-4-4400004-400000000000000000000002i2−2i2−2i22i200000000000000000000000
χ594-44-444-4-4-4400004-40000000000000000000000−2i22i22i2−2i200000000000000000000000
χ604-4-44-44-44-4-444-4-44440000-40000000000000000000000000000000000000000000
χ614-4-4-44-444004-4-44000000004-4-44000000000000000000000000000000000000000
χ624-4-4-44-444004-4-4400000000-444-4000000000000000000000000000000000000000
χ634-4-4-44-44400-444-40000000000000000000000000000000022−22−2222000000000000000
χ644-4-4-44-44400-444-400000000000000000000000000000000−222222−22000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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