Finite Group Databasebeta

← Group #283021

Character table — Group #283021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888222244444488888888888888222244448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-11-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-1-11-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-111-1-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1111-1-11111-1
χ172222222222-2-2-222-22222-2-200000022-2-200000022-2-2000000000000-20000000000
χ182222222222-2-2-222-22222-2-2000000-2-2-2-2000000-2-22200000000000020000000000
χ192222222222-2-2-222-2-2-2-2-2-2-20000002222000000-2-222000000000000-20000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2000000-2-22200000022-2-200000000000020000000000
χ2122222222-2-2222-2-220000-2-22222220000-2-2-2-2-2-2000000000000000000020000000
χ2222222222-2-2222-2-220000-2-22222-2-200002222-2-20000000000000000000-20000000
χ2322222222-2-2222-2-220000-2-2-2-2-2-2220000-2-222220000000000000000000-20000000
χ2422222222-2-2222-2-220000-2-2-2-2-2-2-2-2000022-2-222000000000000000000020000000
χ252222-2-2-2-22-20002-202i2i−2i−2i00i2i2−i2−i2002-2000000i2−i22i−2i0022−2−222−2−2000000000000i2−i20
χ262222-2-2-2-22-20002-202i2i−2i−2i00i2i2−i2−i200-22000000i2−i2−2i2i0022−2−2−2−222000000000000−i2i20
χ272222-2-2-2-22-20002-202i2i−2i−2i00−i2−i2i2i2002-2000000−i2i22i−2i00−2−222−2−222000000000000−i2i20
χ282222-2-2-2-22-20002-202i2i−2i−2i00−i2−i2i2i200-22000000−i2i2−2i2i00−2−22222−2−2000000000000i2−i20
χ292222-2-2-2-22-20002-20−2i−2i2i2i00i2i2−i2−i2002-2000000i2−i2−2i2i00−2−222−2−222000000000000i2−i20
χ302222-2-2-2-22-20002-20−2i−2i2i2i00i2i2−i2−i200-22000000i2−i22i−2i00−2−22222−2−2000000000000−i2i20
χ312222-2-2-2-22-20002-20−2i−2i2i2i00−i2−i2i2i2002-2000000−i2i2−2i2i0022−2−222−2−2000000000000−i2i20
χ322222-2-2-2-22-20002-20−2i−2i2i2i00−i2−i2i2i200-22000000−i2i22i−2i0022−2−2−2−222000000000000i2−i20
χ332-2-222-22-2222-2-2-2-222i−2i2i−2i2-200002-2002i−2i2-20000000000000000000002i−2i00000000
χ342-2-222-22-2222-2-2-2-222i−2i2i−2i2-20000-22002i−2i-22000000000000000000000−2i2i00000000
χ352-2-222-22-2222-2-2-2-22−2i2i−2i2i2-200002-200−2i2i2-2000000000000000000000−2i2i00000000
χ362-2-222-22-2222-2-2-2-22−2i2i−2i2i2-20000-2200−2i2i-220000000000000000000002i−2i00000000
χ372-2-222-22-222-222-2-2-22i−2i2i−2i-2200000000−2i2i000000000000000000002-200002i−2i00000
χ382-2-222-22-222-222-2-2-22i−2i2i−2i-2200000000−2i2i00000000000000000000-220000−2i2i00000
χ392-2-222-22-222-222-2-2-2−2i2i−2i2i-22000000002i−2i000000000000000000002-20000−2i2i00000
χ402-2-222-22-222-222-2-2-2−2i2i−2i2i-22000000002i−2i00000000000000000000-2200002i−2i00000
χ412-2-222-22-2-2-22-2-22220000-2200002-20000-22000000002-22-200002-20000000000000
χ422-2-222-22-2-2-22-2-22220000-2200002-20000-2200000000-22-220000-220000000000000
χ432-2-222-22-2-2-22-2-22220000-220000-2200002-2000000002-22-20000-220000000000000
χ442-2-222-22-2-2-22-2-22220000-220000-2200002-200000000-22-2200002-20000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-4-44000-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ474444-4-4-4-4-44000-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ4844-4-44-4-440044-400-40000000000000000004i−4i00000000000000000000000000000
χ4944-4-44-4-440044-400-4000000000000000000−4i4i00000000000000000000000000000
χ5044-4-44-4-4400-4-440040000000000000000000000000000000000000000000022−22000
χ5144-4-44-4-4400-4-4400400000000000000000000000000000000000000000000−2222000
χ524-44-444-4-4004-4400-40000004i−4i4i−4i000000000000000000000000000000000000000
χ534-44-444-4-4004-4400-4000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-44-444-4-400-44-400400000000000000000000000000000022−2222−22000000000000000
χ554-44-444-4-400-44-4004000000000000000000000000000000−2222−2222000000000000000
χ564-44-4-4-4440000000000000022−22−22220000000000000022−2200002-2-22000000000000000
χ574-44-4-4-4440000000000000022−22−222200000000000000−22220000-222-2000000000000000
χ584-44-4-4-44400000000000000−222222−220000000000000022−220000-222-2000000000000000
χ594-44-4-4-44400000000000000−222222−2200000000000000−222200002-2-22000000000000000
χ604-4-444-44-4-4-4-44444-400004-40000000000000000000000000000000000000000000
χ614-4-44-44-444-4000-4404-4-44000000000000000000000000000000000000000000000
χ624-4-44-44-444-4000-440-444-4000000000000000000000000000000000000000000000
χ634-4-44-44-44-440004-400000000000000000000000000022−22−22220000000000000000000
χ644-4-44-44-44-440004-4000000000000000000000000000−222222−220000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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