Finite Group Databasebeta

← Group #10694344

Character table — Group #10694344

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order12224444223444444666888888881212121244668888121212121212121212122424242424242424242424242424242488888888888888884444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−i−iii−i−iii
χ111111-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−i−iii−i−iii
χ121111-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111ii−i−iii−i−i
χ131111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111ii−i−i−i−iii
χ141111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−i−iiiii−i−i
χ151111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−i−iiiii−i−i
χ161111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1ii−i−i−i−iii
χ172222222222222-2-2-2-2222000000002222-2-222000022-2-2-2-2-2-2-2-2000000000000000022-2-222-2-20000000000000000000000000000
χ182222222222222-2-2-2-2222000000002222-2-222000022-2-2-2-2-2-2-2-20000000000000000-2-222-2-2220000000000000000000000000000
χ192222222222-1222222-1-1-122222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ202222222222-1222222-1-1-122222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ212222222222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-1111100000000
χ222222222222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-100000000
χ2322222222-2-22-2-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ2422222222-2-22-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2522222222-2-22-2-2-2-2-2-222200000000222222-2-20000-2-222-2-222-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ2622222222-2-22-2-2-2-2-2-222200000000222222-2-20000-2-222-2-222-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ2722222222-2-2-1-2-22222-1-1-122222222-1-1-1-1-2-211-2-2-2-21111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2822222222-2-2-1-2-22222-1-1-122222222-1-1-1-1-2-211-2-2-2-21111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ2922222222-2-2-1-2-22222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-21122221111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3022222222-2-2-1-2-22222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-21122221111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ312222-2-2-2-2222-2-222-2-22222222-2-2-2-2-2-2-2-2-2222-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ322222-2-2-2-2222-2-222-2-2222-2-2-2-22222-2-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ332222-2-2-2-2222-2-2-2-22222200000000-2-2-2-22-2220000-2-22222-2-2-2-200000000000000000000000022-2-2-2-22200000000000000000000
χ342222-2-2-2-2222-2-2-2-22222200000000-2-2-2-22-2220000-2-22222-2-2-2-2000000000000000000000000-2-22222-2-200000000000000000000
χ352222-2-2-2-222-1-2-222-2-2-1-1-12222-2-2-2-21111-22-1-1-2-222111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ362222-2-2-2-222-1-2-222-2-2-1-1-12222-2-2-2-21111-22-1-1-2-222111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ372222-2-2-2-222-1-2-222-2-2-1-1-1-2-2-2-222221111-22-1-122-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ382222-2-2-2-222-1-2-222-2-2-1-1-1-2-2-2-222221111-22-1-122-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ392222-2-2-2-2-2-2222-2-22222200000000-2-2-2-2-22-2-2000022-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ402222-2-2-2-2-2-2222-2-22222200000000-2-2-2-2-22-2-2000022-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ412222-2-2-2-2-2-2-12222-2-2-1-1-12222-2-2-2-211112-21122-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-11100000000
χ422222-2-2-2-2-2-2-12222-2-2-1-1-12222-2-2-2-211112-21122-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-100000000
χ432222-2-2-2-2-2-2-12222-2-2-1-1-1-2-2-2-2222211112-211-2-222-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ442222-2-2-2-2-2-2-12222-2-2-1-1-1-2-2-2-2222211112-211-2-222-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-11100000000
χ4522-2-222-2-22-222-200002-2-222−2−222−2−222-2-2002-22−22−22-20000000022−2−222−2−222−2−222−2−2002-2002-22−22−22−22−200000000000000000000
χ4622-2-222-2-22-222-200002-2-222−2−222−2−222-2-2002-22−22−22-20000000022−2−222−2−222−2−222−2−200-2200-22−22−22−22−2200000000000000000000
χ4722-2-222-2-22-222-200002-2-2−2−222−2−22222-2-2002-2−22−222-200000000−2−222−2−222−2−222−2−222002-2002-2−22−22−22−2200000000000000000000
χ4822-2-222-2-22-222-200002-2-2−2−222−2−22222-2-2002-2−22−222-200000000−2−222−2−222−2−222−2−22200-2200-222−22−22−22−200000000000000000000
χ4922-2-222-2-2-222-2200002-2-222−2−222−2−222-2-200-22−22−22-220000000022−2−2−2−22222−2−2−2−2222i−2i002i−2i00−i2i2i2−i2−i2i2i2−i200000000000000000000
χ5022-2-222-2-2-222-2200002-2-222−2−222−2−222-2-200-22−22−22-220000000022−2−2−2−22222−2−2−2−222−2i2i00−2i2i00i2−i2−i2i2i2−i2−i2i200000000000000000000
χ5122-2-222-2-2-222-2200002-2-2−2−222−2−22222-2-200-222−22−2-2200000000−2−22222−2−2−2−22222−2−22i−2i002i−2i00i2−i2−i2i2i2−i2−i2i200000000000000000000
χ5222-2-222-2-2-222-2200002-2-2−2−222−2−22222-2-200-222−22−2-2200000000−2−22222−2−2−2−22222−2−2−2i2i00−2i2i00−i2i2i2−i2−i2i2i2−i200000000000000000000
χ5322-2-2-2-2222-22-2200002-2-222−2−2−2−222-2-222002-2−222−2-220000000022−2−2−2−222−2−22222−2−22-200-2200−222−22−2−2200000000000000000000
χ5422-2-2-2-2222-22-2200002-2-222−2−2−2−222-2-222002-2−222−2-220000000022−2−2−2−222−2−22222−2−2-22002-2002−2−22−222−200000000000000000000
χ5522-2-2-2-2222-22-2200002-2-2−2−22222−2−2-2-222002-22−2−22-2200000000−2−22222−2−222−2−2−2−2222-200-22002−2−22−222−200000000000000000000
χ5622-2-2-2-2222-22-2200002-2-2−2−22222−2−2-2-222002-22−2−22-2200000000−2−22222−2−222−2−2−2−222-22002-200−222−22−2−2200000000000000000000
χ5722-2-2-2-222-2222-200002-2-222−2−2−2−222-2-22200-222−2−222-20000000022−2−222−2−2−2−222−2−222002i−2i00−2i2ii2−i2i2−i2−i2i2−i2i200000000000000000000
χ5822-2-2-2-222-2222-200002-2-222−2−2−2−222-2-22200-222−2−222-20000000022−2−222−2−2−2−222−2−22200−2i2i002i−2i−i2i2−i2i2i2−i2i2−i200000000000000000000
χ5922-2-2-2-222-2222-200002-2-2−2−22222−2−2-2-22200-22−222−22-200000000−2−222−2−22222−2−222−2−2002i−2i00−2i2i−i2i2−i2i2i2−i2i2−i200000000000000000000
χ6022-2-2-2-222-2222-200002-2-2−2−22222−2−2-2-22200-22−222−22-200000000−2−222−2−22222−2−222−2−200−2i2i002i−2ii2−i2i2−i2−i2i2−i2i200000000000000000000
χ612-22-22i−2i2i−2i002002-22i−2i-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i002-22-22-200002i−2i2i−2i000000000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i
χ622-22-22i−2i2i−2i002002-22i−2i-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i002-22-22-200002i−2i2i−2i00000000000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i
χ632-22-22i−2i2i−2i002002-22i−2i-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000002i−2i002-2-22-220000−2i2i−2i2i000000000000000000000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i
χ642-22-22i−2i2i−2i002002-22i−2i-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000002i−2i002-2-22-220000−2i2i−2i2i00000000000000000000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i
χ652-22-2−2i2i−2i2i002002-2−2i2i-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i002-22-22-20000−2i2i−2i2i000000000000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i
χ662-22-2−2i2i−2i2i002002-2−2i2i-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i002-22-22-20000−2i2i−2i2i00000000000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i
χ672-22-2−2i2i−2i2i002002-2−2i2i-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000−2i2i002-2-22-2200002i−2i2i−2i000000000000000000000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i
χ682-22-2−2i2i−2i2i002002-2−2i2i-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000−2i2i002-2-22-2200002i−2i2i−2i00000000000000000000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i
χ694444444444-244-4-4-4-4-2-2-200000000-2-2-2-2-4-4-2-20000-2-2222222220000000000000000000000000000000000000000000000000000
χ7044444444-4-4-2-4-4-4-4-4-4-2-2-200000000-2-2-2-24422000022-2-222-2-2220000000000000000000000000000000000000000000000000000
χ714444-4-4-4-444-2-4-4-4-444-2-2-20000000022224-4-2-2000022-2-2-2-222220000000000000000000000000000000000000000000000000000
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χ7544-4-444-4-4-44-2-440000-2222222−22−222222−22−22-2-222002-2−2222−22222-200000000−2−22222−2−2−2−22222−2−2000000000000000000000000000000000000
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χ7744-4-4-4-4444-4-2-440000-2222222−22−22−22−22222222-2-200-22−222222−222-200000000−2−22222−2−222−2−2−2−222000000000000000000000000000000000000
χ7844-4-4-4-4444-4-2-440000-222−22−2222222222−22−2222-2-200-2222−22−22222-20000000022−2−2−2−222−2−22222−2−2000000000000000000000000000000000000
χ7944-4-4-4-444-44-24-40000-2222222−22−22−22−22222222-2-2002-222−22−2222-2200000000−2−222−2−22222−2−222−2−2000000000000000000000000000000000000
χ8044-4-4-4-444-44-24-40000-222−22−2222222222−22−2222-2-2002-2−222222−22-220000000022−2−222−2−2−2−222−2−222000000000000000000000000000000000000
χ814-44-44i−4i4i−4i00400-44−4i4i-44-4000000004i−4i4i−4i000000000000−4i4i00-440000000000000000000000000000000000000000000000000000
χ824-44-44i−4i4i−4i00-2004-44i−4i2-224-44-44i−4i4i−4i−2i2i−2i2i000000000000−2i2i00-22-22-220000−2i2i−2i2i0000000000000000000000000000000000000000
χ834-44-44i−4i4i−4i00-2004-44i−4i2-22-44-44−4i4i−4i4i−2i2i−2i2i000000000000−2i2i00-222-22-200002i−2i2i−2i0000000000000000000000000000000000000000
χ844-44-44i−4i4i−4i00-200-44−4i4i2-2200000000−2i2i−2i2i0000000000002i−2i002-20000−2i32i3−2i32i3000023−2323−23000000000000000000000000000000000000
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χ864-44-4−4i4i−4i4i00400-444i−4i-44-400000000−4i4i−4i4i0000000000004i−4i00-440000000000000000000000000000000000000000000000000000
χ874-44-4−4i4i−4i4i00-2004-4−4i4i2-224-44-4−4i4i−4i4i2i−2i2i−2i0000000000002i−2i00-22-22-2200002i−2i2i−2i0000000000000000000000000000000000000000
χ884-44-4−4i4i−4i4i00-2004-4−4i4i2-22-44-444i−4i4i−4i2i−2i2i−2i0000000000002i−2i00-222-22-20000−2i2i−2i2i0000000000000000000000000000000000000000
χ894-44-4−4i4i−4i4i00-200-444i−4i2-22000000002i−2i2i−2i000000000000−2i2i002-20000−2i32i3−2i32i30000−2323−2323000000000000000000000000000000000000
χ904-44-4−4i4i−4i4i00-200-444i−4i2-22000000002i−2i2i−2i000000000000−2i2i002-200002i3−2i32i3−2i3000023−2323−23000000000000000000000000000000000000
χ914-4-444i−4i−4i4i004000000-4-4422−22−22222i2−2i2−2i22i24i−4i−4i4i00000000000000000022−22−222200002i2−2i2−2i22i20000000000000000000000000000000000000000
χ924-4-444i−4i−4i4i004000000-4-44−222222−22−2i22i22i2−2i24i−4i−4i4i000000000000000000−222222−220000−2i22i22i2−2i20000000000000000000000000000000000000000
χ934-4-444i−4i−4i4i00-200000022-222−22−22222i2−2i2−2i22i2−2i2i2i−2i0000000000−2i32i30023−2300−222−2i6−i6−i6i6−i2i2i2−i2−666−6000000000000000000000000000000000000
χ944-4-444i−4i−4i4i00-200000022-222−22−22222i2−2i2−2i22i2−2i2i2i−2i00000000002i3−2i300−232300−222−2−i6i6i6−i6−i2i2i2−i26−6−66000000000000000000000000000000000000
χ954-4-444i−4i−4i4i00-200000022-2−222222−22−2i22i22i2−2i2−2i2i2i−2i0000000000−2i32i30023−23002−2−22−i6i6i6−i6i2−i2−i2i26−6−66000000000000000000000000000000000000
χ964-4-444i−4i−4i4i00-200000022-2−222222−22−2i22i22i2−2i2−2i2i2i−2i00000000002i3−2i300−2323002−2−22i6−i6−i6i6i2−i2−i2i2−666−6000000000000000000000000000000000000
χ974-4-44−4i4i4i−4i004000000-4-4422−22−2222−2i22i22i2−2i2−4i4i4i−4i00000000000000000022−22−22220000−2i22i22i2−2i20000000000000000000000000000000000000000
χ984-4-44−4i4i4i−4i004000000-4-44−222222−222i2−2i2−2i22i2−4i4i4i−4i000000000000000000−222222−2200002i2−2i2−2i22i20000000000000000000000000000000000000000
χ994-4-44−4i4i4i−4i00-200000022-222−22−2222−2i22i22i2−2i22i−2i−2i2i0000000000−2i32i300−232300−222−2i6−i6−i6i6i2−i2−i2i26−6−66000000000000000000000000000000000000
χ1004-4-44−4i4i4i−4i00-200000022-222−22−2222−2i22i22i2−2i22i−2i−2i2i00000000002i3−2i30023−2300−222−2−i6i6i6−i6i2−i2−i2i2−666−6000000000000000000000000000000000000
χ1014-4-44−4i4i4i−4i00-200000022-2−222222−222i2−2i2−2i22i22i−2i−2i2i0000000000−2i32i300−2323002−2−22−i6i6i6−i6−i2i2i2−i2−666−6000000000000000000000000000000000000
χ1024-4-44−4i4i4i−4i00-200000022-2−222222−222i2−2i2−2i22i22i−2i−2i2i00000000002i3−2i30023−23002−2−22i6−i6−i6i6−i2i2i2−i26−6−66000000000000000000000000000000000000

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