Finite Group Databasebeta

← Group #10948973

Character table — Group #10948973

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order1222222222344446668888121212124466666688888812121212121224242424242424242424242424242424244466121212121212222222221616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-111-1-111-1-111111111-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111-1-111-1-111-1-111111111-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111-1-111-1-111-1-111111111-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ121111-1-111-1-111-1-111111111-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-11111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222222222-2-2-2-22220000-2-2-2-2-2-2222222000000-2-2-2-2-2-20000000000000000000000000000000000002−22−22−22−2
χ1922222222222-2-2-2-22220000-2-2-2-2-2-2222222000000-2-2-2-2-2-2000000000000000000000000000000000000−22−22−22−22
χ202222222222-12222-1-1-12222-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ212222222222-12222-1-1-12222-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ222222222222-12222-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111111111110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ232222222222-12222-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111111111110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ24222222-2-2-2-222222222-2-2-2-22222-2-222-2-2-2-2-2-222222-2-2-2-22-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ25222222-2-2-2-22-2-2-2-22220000-2-2-2-22222-2-2-2-2000000-22222-20000000000000000000000000000000000002−22−2−22−22
χ26222222-2-2-2-22-2-2-2-22220000-2-2-2-22222-2-2-2-2000000-22222-2000000000000000000000000000000000000−22−222−22−2
χ27222222-2-2-2-2-12222-1-1-12222-1-1-1-1-2-2-1-1111122-2-2-2-2-11111-1-1-1-1-1-1-1-1-1111111112-2-22-1-11111-1-10000000000000000
χ28222222-2-2-2-2-12222-1-1-12222-1-1-1-1-2-2-1-1111122-2-2-2-2-11111-1-1-1-1-1-1-1-1-111111111-222-211-1-1-1-1110000000000000000
χ29222222-2-2-2-2-12222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-11111-2-22222-11111-111111111-1-1-1-1-1-1-1-10000−i3i3i3−i3i3−i3−i3i30000000000000000
χ30222222-2-2-2-2-12222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-11111-2-22222-11111-111111111-1-1-1-1-1-1-1-10000i3−i3−i3i3−i3i3i3−i30000000000000000
χ312222-2-222-2-222-2-22222-2-2-2-2-2-2-2-22-2-2-222-2-222-2-222222-2-22-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ322222-2-222-2-22-222-222200002222-22-2-222-2-2000000-2-2-222-20000000000000000000000000000000000002−2−222−2−22
χ332222-2-222-2-22-222-222200002222-22-2-222-2-2000000-2-2-222-2000000000000000000000000000000000000−222−2−222−2
χ342222-2-222-2-2-12-2-22-1-1-1222211112-211-1-111-2-222-2-2-1-1-111-1-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-111110000000000000000
χ352222-2-222-2-2-12-2-22-1-1-1222211112-211-1-111-2-222-2-2-1-1-111-1-1-1-1-11111-1-1-1-11111-2-2221111-1-1-1-10000000000000000
χ362222-2-222-2-2-12-2-22-1-1-1-2-2-2-211112-211-1-11122-2-222-1-1-111-11111-1-1-1-11111-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000000000
χ372222-2-222-2-2-12-2-22-1-1-1-2-2-2-211112-211-1-11122-2-222-1-1-111-11111-1-1-1-11111-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000000000
χ382222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-22-2-2-2-2222222-2-22-2-2222-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ392222-2-2-2-2222-222-2222000022222-2-2-2-2-222000000-222-2-2-20000000000000000000000000000000000002−2−22−222−2
χ402222-2-2-2-2222-222-2222000022222-2-2-2-2-222000000-222-2-2-2000000000000000000000000000000000000−222−22−2−22
χ412222-2-2-2-222-12-2-22-1-1-122221111-221111-1-1-2-2-2-222-111-1-1-1-1-1-1-111111111-1-1-1-12-22-2-1-111-1-1110000000000000000
χ422222-2-2-2-222-12-2-22-1-1-122221111-221111-1-1-2-2-2-222-111-1-1-1-1-1-1-111111111-1-1-1-1-22-2211-1-111-1-10000000000000000
χ432222-2-2-2-222-12-2-22-1-1-1-2-2-2-21111-221111-1-12222-2-2-111-1-1-11111-1-1-1-1-1-1-1-111110000−i3i3i3−i3−i3i3i3−i30000000000000000
χ442222-2-2-2-222-12-2-22-1-1-1-2-2-2-21111-221111-1-12222-2-2-111-1-1-11111-1-1-1-1-1-1-1-111110000i3−i3−i3i3i3−i3−i3i30000000000000000
χ452-2-222-200002-22-22-2-2222-2-222-2-2002-200002-20000-20000222-2-222-2-20000000000000000000000002-22-200000000
χ462-2-222-200002-22-22-2-2222-2-222-2-2002-200002-20000-20000222-2-222-2-2000000000000000000000000-22-2200000000
χ472-2-222-200002-22-22-2-22-2-22222-2-2002-20000-220000-200002-2-222-2-222000000000000000000002-22-2000000000000
χ482-2-222-200002-22-22-2-22-2-22222-2-2002-20000-220000-200002-2-222-2-22200000000000000000000-22-22000000000000
χ492-2-22-2200002-2-222-2-2222-2-2-2-22200-220000-220000-20000222-2-2-2-2220000000000000000000000002-2-2200000000
χ502-2-22-2200002-2-222-2-2222-2-2-2-22200-220000-220000-20000222-2-2-2-222000000000000000000000000-222-200000000
χ512-2-22-2200002-2-222-2-22-2-222-2-22200-2200002-20000-200002-2-22222-2-2000000000000000000002-2-22000000000000
χ522-2-22-2200002-2-222-2-22-2-222-2-22200-2200002-20000-200002-2-22222-2-200000000000000000000-222-2000000000000
χ534444444444-2-4-4-4-4-2-2-200002222-4-4-2-2-2-2-2-200000022222200000000000000000000000000000000000000000000
χ54444444-4-4-4-4-2-4-4-4-4-2-2-20000222244-2-222220000002-2-2-2-2200000000000000000000000000000000000000000000
χ554444-4-444-4-4-2-444-4-2-2-20000-2-2-2-2-4422-2-222000000222-2-2200000000000000000000000000000000000000000000
χ564444-4-4-4-444-2-444-4-2-2-20000-2-2-2-24-42222-2-20000002-2-222200000000000000000000000000000000000000000000
χ5744-4-400004-4400004-4-422−2222−2200000000004-4000022−2200000022−2222−22000000002222−22−220000000000000000000000000000
χ5844-4-400004-4400004-4-4−2222−222200000000004-40000−2222000000−2222−222200000000−22−2222220000000000000000000000000000
χ5944-4-400004-4-20000-22222−2222−2223−2323−23000000-22000022−22023−23000−22−226−66−666−6−6−2−2220000000000000000000000000000
χ6044-4-400004-4-20000-22222−2222−22−2323−2323000000-22000022−220−2323000−22−22−66−66−6−666−2−2220000000000000000000000000000
χ6144-4-400004-4-20000-222−2222−222223−2323−23000000-220000−2222023−230002−22−2−66−66−6−66622−2−20000000000000000000000000000
χ6244-4-400004-4-20000-222−2222−2222−2323−2323000000-220000−22220−23230002−22−26−66−666−6−622−2−20000000000000000000000000000
χ6344-4-40000-44400004-4-422−2222−220000000000-440000−222200000022−2222−2200000000−22−2222220000000000000000000000000000
χ6444-4-40000-44400004-4-4−2222−22220000000000-44000022−22000000−2222−2222000000002222−22−220000000000000000000000000000
χ6544-4-40000-44-20000-22222−2222−2223−2323−230000002-20000−22220−2323000−22−226−66−6−6−66622−2−20000000000000000000000000000
χ6644-4-40000-44-20000-22222−2222−22−2323−23230000002-20000−2222023−23000−22−22−66−6666−6−622−2−20000000000000000000000000000
χ6744-4-40000-44-20000-222−2222−222223−2323−230000002-2000022−220−23230002−22−2−66−6666−6−6−2−2220000000000000000000000000000
χ6844-4-40000-44-20000-222−2222−2222−2323−23230000002-2000022−22023−230002−22−26−66−6−6−666−2−2220000000000000000000000000000
χ694-44-4004-40040000-44-422−22−2222000000004-4000022−220000000022−22−2222000022−2222−2200000000000000000000000000000000
χ704-44-4004-40040000-44-4−222222−22000000004-40000−222200000000−222222−220000−2222−222200000000000000000000000000000000
χ714-44-4004-400-200002-2222−22−222223−23−23230000-22000022−220000023−230−222−26−6−66−22−226−66−60000000000000000000000000000
χ724-44-4004-400-200002-2222−22−2222−232323−230000-22000022−2200000−23230−222−2−666−6−22−22−66−660000000000000000000000000000
χ734-44-4004-400-200002-22−222222−2223−23−23230000-220000−22220000023−2302−2−22−666−62−22−2−66−660000000000000000000000000000
χ744-44-4004-400-200002-22−222222−22−232323−230000-220000−222200000−232302−2−226−6−662−22−26−66−60000000000000000000000000000
χ754-44-400-440040000-44-422−22−222200000000-440000−22220000000022−22−22220000−2222−222200000000000000000000000000000000
χ764-44-400-440040000-44-4−222222−2200000000-44000022−2200000000−222222−22000022−2222−2200000000000000000000000000000000
χ774-44-400-4400-200002-2222−22−222223−23−232300002-20000−222200000−23230−222−26−6−662−22−2−66−660000000000000000000000000000
χ784-44-400-4400-200002-2222−22−2222−232323−2300002-20000−22220000023−230−222−2−666−62−22−26−66−60000000000000000000000000000
χ794-44-400-4400-200002-22−222222−2223−23−232300002-2000022−2200000−232302−2−22−666−6−22−226−66−60000000000000000000000000000
χ804-44-400-4400-200002-22−222222−22−232323−2300002-2000022−220000023−2302−2−226−6−66−22−22−66−660000000000000000000000000000
χ814-4-444-4000044-44-4-4-440000-4-444004-4000000000040000-400000000000000000000000000000000000000000000
χ824-4-444-40000-24-44-422-2000022-2-200-220000000000-2000020000000023−23−232323−23−23230000000000000000000000000000
χ834-4-444-40000-24-44-422-2000022-2-200-220000000000-20000200000000−232323−23−232323−230000000000000000000000000000
χ844-4-444-40000-2-44-4422-244-4-4-2-22200-2200004-4000020000-2-2-222-2-222000000000000000000000000000000000000
χ854-4-444-40000-2-44-4422-2-4-444-2-22200-220000-44000020000-222-2-222-2-2000000000000000000000000000000000000
χ864-4-44-440000444-4-4-4-44000044-4-400-44000000000040000-400000000000000000000000000000000000000000000
χ874-4-44-440000-244-4-422-20000-2-222002-20000000000-2000020000000023−23−2323−232323−230000000000000000000000000000
χ884-4-44-440000-244-4-422-20000-2-222002-20000000000-20000200000000−232323−2323−23−23230000000000000000000000000000
χ894-4-44-440000-2-4-44422-244-4-422-2-2002-20000-44000020000-2-2-22222-2-2000000000000000000000000000000000000
χ904-4-44-440000-2-4-44422-2-4-44422-2-2002-200004-4000020000-222-2-2-2-222000000000000000000000000000000000000

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