Finite Group Databasebeta

← Group #283000

Character table — Group #283000

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888222244448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ101111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1111111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-11-1-1-1-111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ172222222222-2-2-2-2222222-2-20000000022-2-20000000022-2-2000000000-2000000000
χ182222222222-2-2-2-2222222-2-200000000-2-2-2-200000000-2-2220000000002000000000
χ192222222222-2-2-2-222-2-2-2-2-2-200000000222200000000-2-222000000000-2000000000
χ202222222222-2-2-2-222-2-2-2-2-2-200000000-2-2220000000022-2-20000000002000000000
χ2122222222-2-22222-2-20000-2-2222222-2-2000022-2-20000000000000000-20000000000
χ2222222222-2-22222-2-20000-2-22222-2-2220000-2-2-2-2000000000000000020000000000
χ2322222222-2-22222-2-20000-2-2-2-2-2-222220000-2-2220000000000000000-20000000000
χ2422222222-2-22222-2-20000-2-2-2-2-2-2-2-2-2-200002222000000000000000020000000000
χ252-2222-2-2-22-200002-222-2-200i2i2−i2−i200002i−2i0000i2−i2i2i2−i2−i22i−2i0022−2−2000000002−200000
χ262-2222-2-2-22-200002-222-2-200i2i2−i2−i20000−2i2i0000i2−i2i2i2−i2−i2−2i2i00−2−22200000000−2200000
χ272-2222-2-2-22-200002-222-2-200−i2−i2i2i200002i−2i0000−i2i2−i2−i2i2i22i−2i00−2−22200000000−2200000
χ282-2222-2-2-22-200002-222-2-200−i2−i2i2i20000−2i2i0000−i2i2−i2−i2i2i2−2i2i0022−2−2000000002−200000
χ292-2222-2-2-22-200002-2-2-22200i2i2−i2−i200002i−2i0000i2−i2−i2−i2i2i2−2i2i00−2−222000000002−200000
χ302-2222-2-2-22-200002-2-2-22200i2i2−i2−i20000−2i2i0000i2−i2−i2−i2i2i22i−2i0022−2−200000000−2200000
χ312-2222-2-2-22-200002-2-2-22200−i2−i2i2i200002i−2i0000−i2i2i2i2−i2−i2−2i2i0022−2−200000000−2200000
χ322-2222-2-2-22-200002-2-2-22200−i2−i2i2i20000−2i2i0000−i2i2i2i2−i2−i22i−2i00−2−222000000002−200000
χ332-2-22-22-222222-2-2-2-22i−2i2i−2i-2200000000002i−2i0000000000000000002-2000000002i−2i0
χ342-2-22-22-222222-2-2-2-22i−2i2i−2i-2200000000002i−2i000000000000000000-2200000000−2i2i0
χ352-2-22-22-222222-2-2-2-2−2i2i−2i2i-220000000000−2i2i0000000000000000002-200000000−2i2i0
χ362-2-22-22-222222-2-2-2-2−2i2i−2i2i-220000000000−2i2i000000000000000000-22000000002i−2i0
χ372-2-22-22-2222-2-222-2-22i−2i2i−2i2-20000002-200−2i2i2-2000000000000000000002i−2i0000000
χ382-2-22-22-2222-2-222-2-22i−2i2i−2i2-2000000-2200−2i2i-2200000000000000000000−2i2i0000000
χ392-2-22-22-2222-2-222-2-2−2i2i−2i2i2-20000002-2002i−2i2-200000000000000000000−2i2i0000000
χ402-2-22-22-2222-2-222-2-2−2i2i−2i2i2-2000000-22002i−2i-22000000000000000000002i−2i0000000
χ412-2-22-22-22-2-2-2-222220000-220000002-20000-22002-22-2000000002-20000000000000
χ422-2-22-22-22-2-2-2-222220000-220000002-20000-2200-22-2200000000-220000000000000
χ432-2-22-22-22-2-2-2-222220000-22000000-2200002-2002-22-200000000-220000000000000
χ442-2-22-22-22-2-2-2-222220000-22000000-2200002-200-22-22000000002-20000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-44004-44-400000000000000000000000000000000000000000000002i2−2i2000
χ47444-4-4-4-44004-44-40000000000000000000000000000000000000000000000−2i22i2000
χ48444-4-4-4-4400-44-440000000000004i−4i0000000000000000000000000000000000000
χ49444-4-4-4-4400-44-44000000000000−4i4i0000000000000000000000000000000000000
χ5044-44-4-44-44-40000-444i−4i−4i4i000000000000000000000000000000000000000000000
χ5144-44-4-44-44-40000-44−4i4i4i−4i000000000000000000000000000000000000000000000
χ5244-44-4-44-4-4400004-400000000000000000000002i2−2i2−2i22i200000000000000000000000
χ5344-44-4-44-4-4400004-40000000000000000000000−2i22i22i2−2i200000000000000000000000
χ5444-4-444-4-4000000000000002i2−2i22i2−2i20000000000000000002i2−2i22-22-2000000000000000
χ5544-4-444-4-4000000000000002i2−2i22i2−2i2000000000000000000−2i22i2-22-22000000000000000
χ5644-4-444-4-400000000000000−2i22i2−2i22i20000000000000000002i2−2i2-22-22000000000000000
χ5744-4-444-4-400000000000000−2i22i2−2i22i2000000000000000000−2i22i22-22-2000000000000000
χ584-4444-4-4-4-440000-440000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ594-4444-4-4-4-440000-44000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ604-4-44-44-44-4-444-4-44400004-40000000000000000000000000000000000000000000
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
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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