Finite Group Databasebeta

← Group #349708

Character table — Group #349708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-111111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-11111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-2-22222222222222-2-2-2-200000000-2-2000000-2-2-200000000000000000000
χ1822222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-20000000022000000-22200000000000000000000
χ1922222222222-2-2-2-22-2-2-2-22222-2-2-2-222-2-200000000220000002-2-200000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-2-2-2222222-2-200000000-2-200000022200000000000000000000
χ2122222222-2-2-22222-222-2-20000000022-2-222-2-2000000-2-20000-20022000000000000000000
χ2222222222-2-2-22222-222-2-20000000022-2-2-2-222000000220000-200-2-2000000000000000000
χ2322222222-2-2-22222-2-2-22200000000-2-2-2-22222000000-2-20000200-2-2000000000000000000
χ2422222222-2-2-22222-2-2-22200000000-2-2-2-2-2-2-2-200000022000020022000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-200000000-2-222000022-2-2000022-2-220000000000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-200000000-2-2220000-2-2220000-2-22220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222000000002222000022-2-20000-2-222-20000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2220000000022220000-2-222000022-2-2-20000000000000000000000
χ292222-2-2-2-222-20000-22-22-222-2-222-2-2000000000000000000000000022−2−222−2−22−22−2000000
χ302222-2-2-2-222-20000-22-22-222-2-222-2-20000000000000000000000000−2−222−2−222−22−22000000
χ312222-2-2-2-222-20000-22-22-2-2-222-2-222000000000000000000000000022−2−222−2−2−22−22000000
χ322222-2-2-2-222-20000-22-22-2-2-222-2-2220000000000000000000000000−2−222−2−2222−22−2000000
χ332222-2-2-2-222-20000-2-22-2222-2-2-2-222000000000000000000000000022−2−2−2−2222−2−22000000
χ342222-2-2-2-222-20000-2-22-2222-2-2-2-2220000000000000000000000000−2−22222−2−2−222−2000000
χ352222-2-2-2-222-20000-2-22-22-2-22222-2-2000000000000000000000000022−2−2−2−222−222−2000000
χ362222-2-2-2-222-20000-2-22-22-2-22222-2-20000000000000000000000000−2−22222−2−22−2−22000000
χ372-22-22-22-22-2222-2-2-2000000002-22-2002-22-20000002-22-22-22-200000000000000000000000
χ382-22-22-22-22-2222-2-2-2000000002-22-2002-2-220000002-2-22-22-2200000000000000000000000
χ392-22-22-22-22-2222-2-2-200000000-22-22002-22-2000000-222-2-22-2200000000000000000000000
χ402-22-22-22-22-2222-2-2-200000000-22-22002-2-22000000-22-222-22-200000000000000000000000
χ412-22-22-22-22-22-2-222-2000000002-22-200-22002i−2i2i−2i2i−2i-220000000002i−2i000000000000000000
χ422-22-22-22-22-22-2-222-2000000002-22-200-2200−2i2i−2i2i−2i2i-22000000000−2i2i000000000000000000
χ432-22-22-22-22-22-2-222-200000000-22-2200-22002i−2i−2i2i−2i2i2-20000000002i−2i000000000000000000
χ442-22-22-22-22-22-2-222-200000000-22-2200-2200−2i2i2i−2i2i−2i2-2000000000−2i2i000000000000000000
χ452-22-22-22-2-22-222-2-2200002i−2i2i−2i000000-222-2002i−2i−2i2i00-22000002i−2i00000000000000000000
χ462-22-22-22-2-22-222-2-2200002i−2i2i−2i000000-22-2200−2i2i2i−2i002-2000002i−2i00000000000000000000
χ472-22-22-22-2-22-222-2-220000−2i2i−2i2i000000-222-200−2i2i2i−2i00-2200000−2i2i00000000000000000000
χ482-22-22-22-2-22-222-2-220000−2i2i−2i2i000000-22-22002i−2i−2i2i002-200000−2i2i00000000000000000000
χ492-22-22-22-2-22-2-2-222200002i−2i2i−2i0000002-2002i−2i00000000-222-20−2i2i−2i2i000000000000000000
χ502-22-22-22-2-22-2-2-222200002i−2i2i−2i0000002-200−2i2i000000002-2-220−2i2i2i−2i000000000000000000
χ512-22-22-22-2-22-2-2-22220000−2i2i−2i2i0000002-2002i−2i000000002-2-2202i−2i−2i2i000000000000000000
χ522-22-22-22-2-22-2-2-22220000−2i2i−2i2i0000002-200−2i2i00000000-222-202i−2i2i−2i000000000000000000
χ534444-4-4-4-4-4-44000044-4-44000000000000000000000000000000000000000000000000000
χ544444-4-4-4-4-4-4400004-444-4000000000000000000000000000000000000000000000000000
χ5544-4-444-4-40004-44-40000000000000000000000000000000000000000000000000022−220000
χ5644-4-444-4-40004-44-400000000000000000000000000000000000000000000000000−22220000
χ5744-4-444-4-4000-44-44000000000000000000000000000000000000000000000000000022−2200
χ5844-4-444-4-4000-44-440000000000000000000000000000000000000000000000000000−222200
χ594-44-4-44-444-4-400004000000004-4-440000000000000000000000000000000000000000000
χ604-44-4-44-444-4-40000400000000-444-40000000000000000000000000000000000000000000
χ614-44-4-44-44-4440000-400004i−4i−4i4i00000000000000000000000000000000000000000000000
χ624-44-4-44-44-4440000-40000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ634-4-444-4-440004-4-44000000000000000000000000000000000000002i2−2i22i2−2i200000000000000
χ644-4-444-4-440004-4-4400000000000000000000000000000000000000−2i22i2−2i22i200000000000000
χ654-4-444-4-44000-444-40000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ664-4-444-4-44000-444-4000000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ674-4-44-444-4000000000000000000004-4000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ684-4-44-444-4000000000000000000004-400000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ694-4-44-444-400000000000000000000-44000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ704-4-44-444-400000000000000000000-4400000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ7188-8-8-8-888000000000000000000000000000000000000000000000000000000000000000

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