Finite Group Databasebeta

← Group #10782891

Character table — Group #10782891

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222222222222222222244444444444444444444444444446666666666666666666666666666666616161616161616161616161648484848
order12224444223444444444466688888888888888881212121266121212121212121212122424242424242424242424242424242488888888888888888888888888888888444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ91111-1-1-1-1-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-1
χ101111-1-1-1-1-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-11
χ111111-1-1-1-1-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-11-11
χ121111-1-1-1-1-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1111-11-1
χ131111-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1111-1-11
χ141111-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-111-1
χ151111-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-111-1
χ161111-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-11
χ1722222222222-2-2-2-222-2-2-2-22222222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222-2-2-2-222-2-2-2-2222-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ192222222222-12222222222-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ202222222222-12222222222-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-2111111110000
χ212222222222-12222222222-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000000022-2-2-1-1-1-111110000
χ222222222222-12222222222-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000-2-2221111-1-1-1-10000
χ232222222222-1-2-2-2-222-2-2-2-2-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ242222222222-1-2-2-2-222-2-2-2-2-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ252222222222-1-2-2-2-222-2-2-2-2-1-1-1-2-2-2-22222-2-2-2-22222-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ262222222222-1-2-2-2-222-2-2-2-2-1-1-1-2-2-2-22222-2-2-2-22222-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ2722222222-2-2222-2-2-2-222-2-222200000000000000002222-2-222-2-222-2-2-2-2000000000000000000000000000000002222-2-2-2-22222-2-2-2-20000000000000000
χ2822222222-2-2222-2-2-2-222-2-222200000000000000002222-2-222-2-222-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-2-2-222220000000000000000
χ2922222222-2-22-2-222-2-2-2-22222200000000000000002222-2-2-2-222-2-222-2-200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ3022222222-2-22-2-222-2-2-2-22222200000000000000002222-2-2-2-222-2-222-2-20000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ312222-2-2-2-222222-2-2-2-2-2-2222220000000000000000-2-2-2-222-2-22222-2-2-2-200000000000000002222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ322222-2-2-2-222222-2-2-2-2-2-2222220000000000000000-2-2-2-222-2-22222-2-2-2-20000000000000000-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ332222-2-2-2-2222-2-222-2-222-2-22220000000000000000-2-2-2-22222-2-2-2-222-2-2000000000000000000000000000000002222-2-2-2-2-2-2-2-222220000000000000000
χ342222-2-2-2-2222-2-222-2-222-2-22220000000000000000-2-2-2-22222-2-2-2-222-2-200000000000000000000000000000000-2-2-2-222222222-2-2-2-20000000000000000
χ352222-2-2-2-2-2-22222222-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ362222-2-2-2-2-2-22222222-2-2-2-2222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ372222-2-2-2-2-2-2-1222222-2-2-2-2-1-1-12222-2-2-2-2-2-2-2-222221111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ382222-2-2-2-2-2-2-1222222-2-2-2-2-1-1-12222-2-2-2-2-2-2-2-222221111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ392222-2-2-2-2-2-2-1222222-2-2-2-2-1-1-1-2-2-2-222222222-2-2-2-21111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ402222-2-2-2-2-2-2-1222222-2-2-2-2-1-1-1-2-2-2-222222222-2-2-2-21111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ412222-2-2-2-2-2-2-1-2-2-2-2222222-1-1-122222222-2-2-2-2-2-2-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000002-22-2-1-111-1-1110000
χ422222-2-2-2-2-2-2-1-2-2-2-2222222-1-1-122222222-2-2-2-2-2-2-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000-22-2211-1-111-1-10000
χ432222-2-2-2-2-2-2-1-2-2-2-2222222-1-1-1-2-2-2-2-2-2-2-222222222111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000000000002-2-22-1-11111-1-10000
χ442222-2-2-2-2-2-2-1-2-2-2-2222222-1-1-1-2-2-2-2-2-2-2-222222222111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000-222-211-1-1-1-1110000
χ4522-2-222-2-22-2200002-200002-2-2000022-2-2000022-2-222-2-22-2000000002-2000022-2-2000022-2-222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−20000000000000000
χ4622-2-222-2-22-2200002-200002-2-2000022-2-2000022-2-222-2-22-2000000002-2000022-2-2000022-2-2−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000
χ4722-2-222-2-22-2200002-200002-2-20000-2-2220000-2-22222-2-22-2000000002-20000-2-2220000-2-22222−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−2220000000000000000
χ4822-2-222-2-22-2200002-200002-2-20000-2-2220000-2-22222-2-22-2000000002-20000-2-2220000-2-222−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−20000000000000000
χ4922-2-222-2-2-2220000-2200002-2-222-2-2000022-2-2000022-2-2-2200000000-2222-2-2000022-2-2000022−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2220000000000000000
χ5022-2-222-2-2-2220000-2200002-2-222-2-2000022-2-2000022-2-2-2200000000-2222-2-2000022-2-20000−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−20000000000000000
χ5122-2-222-2-2-2220000-2200002-2-2-2-2220000-2-222000022-2-2-2200000000-22-2-2220000-2-222000022−2−2−2−22222−2−2−2−222−2−22222−2−2−2−22222−2−20000000000000000
χ5222-2-222-2-2-2220000-2200002-2-2-2-2220000-2-222000022-2-2-2200000000-22-2-2220000-2-2220000−2−22222−2−2−2−22222−2−222−2−2−2−22222−2−2−2−2220000000000000000
χ5322-2-2-2-2222-220000-2200002-2-222-2-20000-2-2220000-2-2222-200000000-2222-2-20000-2-222000022−2−2−2−222−2−22222−2−222−2−2−2−222−2−22222−2−20000000000000000
χ5422-2-2-2-2222-220000-2200002-2-222-2-20000-2-2220000-2-2222-200000000-2222-2-20000-2-2220000−2−22222−2−222−2−2−2−222−2−22222−2−222−2−2−2−2220000000000000000
χ5522-2-2-2-2222-220000-2200002-2-2-2-222000022-2-20000-2-2222-200000000-22-2-222000022-2-2000022−2−2−2−222−2−22222−2−2−2−22222−2−222−2−2−2−2220000000000000000
χ5622-2-2-2-2222-220000-2200002-2-2-2-222000022-2-20000-2-2222-200000000-22-2-222000022-2-20000−2−22222−2−222−2−2−2−22222−2−2−2−222−2−22222−2−20000000000000000
χ5722-2-2-2-222-22200002-200002-2-2000022-2-20000-2-222-2-222-22000000002-2000022-2-20000-2-22222−2−222−2−2−2−222−2−22222−2−222−2−2−2−222−2−2220000000000000000
χ5822-2-2-2-222-22200002-200002-2-2000022-2-20000-2-222-2-222-22000000002-2000022-2-20000-2-222−2−222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−20000000000000000
χ5922-2-2-2-222-22200002-200002-2-20000-2-222000022-2-2-2-222-22000000002-20000-2-222000022-2-222−2−222−2−2−2−222−2−222−2−222−2−22222−2−222−2−20000000000000000
χ6022-2-2-2-222-22200002-200002-2-20000-2-222000022-2-2-2-222-22000000002-20000-2-222000022-2-2−2−222−2−22222−2−222−2−222−2−222−2−2−2−222−2−2220000000000000000
χ612-22-22i−2i2i−2i002002i−2i00002-2-22-22−22−22−22−2−i2i2−i2i2−i2i2−i2i22i−2i2i−2i00002-2002i−2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i00002-22-2−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000
χ622-22-22i−2i2i−2i002002i−2i00002-2-22-22−22−22−22−2−i2i2−i2i2−i2i2−i2i22i−2i2i−2i00002-2002i−2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i0000-22-22i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000
χ632-22-22i−2i2i−2i002002i−2i00002-2-22-2−22−22−22−22i2−i2i2−i2i2−i2i2−i22i−2i2i−2i00002-2002i−2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i00002-22-2i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000
χ642-22-22i−2i2i−2i002002i−2i00002-2-22-2−22−22−22−22i2−i2i2−i2i2−i2i2−i22i−2i2i−2i00002-2002i−2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i0000-22-22−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000
χ652-22-22i−2i2i−2i00200−2i2i0000-22-22-22−22−2−22−22−i2i2−i2i2i2−i2i2−i22i−2i2i−2i0000-2200−2i2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i22i−2i2i−2i00002-22-20000−i2i2−i2i2i2−i2i2−i22−22−2−22−220000000000000000
χ662-22-22i−2i2i−2i00200−2i2i0000-22-22-22−22−2−22−22−i2i2−i2i2i2−i2i2−i22i−2i2i−2i0000-2200−2i2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i0000-22-220000i2−i2i2−i2−i2i2−i2i2−22−222−22−20000000000000000
χ672-22-22i−2i2i−2i00200−2i2i0000-22-22-2−22−222−22−2i2−i2i2−i2−i2i2−i2i22i−2i2i−2i0000-2200−2i2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i22i−2i2i−2i00002-22-20000i2−i2i2−i2−i2i2−i2i2−22−222−22−20000000000000000
χ682-22-22i−2i2i−2i00200−2i2i0000-22-22-2−22−222−22−2i2−i2i2−i2−i2i2−i2i22i−2i2i−2i0000-2200−2i2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i0000-22-220000−i2i2−i2i2i2−i2i2−i22−22−2−22−220000000000000000
χ692-22-2−2i2i−2i2i002002i−2i0000-22-22-22−22−2−22−22i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i0000-22002i−2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i22i−2i2i−2i0000-22-220000−i2i2−i2i2i2−i2i2−i2−22−222−22−20000000000000000
χ702-22-2−2i2i−2i2i002002i−2i0000-22-22-22−22−2−22−22i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i0000-22002i−2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i00002-22-20000i2−i2i2−i2−i2i2−i2i22−22−2−22−220000000000000000
χ712-22-2−2i2i−2i2i002002i−2i0000-22-22-2−22−222−22−2−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i0000-22002i−2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i22i−2i2i−2i0000-22-220000i2−i2i2−i2−i2i2−i2i22−22−2−22−220000000000000000
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χ882-2-22−2i2i2i−2i0022i−2i0000-2200-2-22−222−22−2−22−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i00-22002i−2i0000−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−222−22−2−222i−2i−2i2i00002-2-2200000000000000000000
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χ1204-4-44−4i4i4i−4i00-2−4i4i00004-40022-2−222222−22−222222−22−2i22i22i2−2i2−2i22i22i2−2i22i−2i−2i2i00-22002i−2i00002−2−222−2−22i2−i2−i2i2i2−i2−i2i2000000000000000000000000000000000000000000000000

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