Finite Group Databasebeta

← Group #10695093

Character table — Group #10695093

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order1222444422344444444446661212121266888888881212121212121212121224242424242424242424242424242424444444448888888822446666121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-1
χ91111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−ii−i
χ101111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii−ii
χ111111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−ii−ii
χ121111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111i−ii−i
χ131111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ141111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ151111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ161111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ1722222222222-2-2-2-222-2-2-2-222222222200000000-2-2-2-2-2-222-2-2000000000000000022-2-222-2-2000000000000000000000000
χ1822222222222-2-2-2-222-2-2-2-222222222200000000-2-2-2-2-2-222-2-20000000000000000-2-222-2-222000000000000000000000000
χ192222222222-12222222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ202222222222-12222222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ212222222222-12222222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-111-1-1110000
χ222222222222-12222222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-22-2211-1-111-1-10000
χ2322222222-2-2222-2-2-2-2-2-2222222222-2-2000000002222-2-2-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ2422222222-2-2222-2-2-2-2-2-2222222222-2-2000000002222-2-2-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ2522222222-2-22-2-222-2-222-2-22222222-2-222-2-222-2-2-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ2622222222-2-22-2-222-2-222-2-22222222-2-2-2-222-2-222-2-2-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2722222222-2-2-1-2-222-2-222-2-2-1-1-1-1-1-1-11122-2-222-2-21111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2822222222-2-2-1-2-222-2-222-2-2-1-1-1-1-1-1-11122-2-222-2-21111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2922222222-2-2-1-2-222-2-222-2-2-1-1-1-1-1-1-111-2-222-2-2221111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ3022222222-2-2-1-2-222-2-222-2-2-1-1-1-1-1-1-111-2-222-2-2221111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ312222-2-2-2-22222222-2-2-2-2-2-2222-2-2-2-2220000000022-2-222-2-2-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ322222-2-2-2-22222222-2-2-2-2-2-2222-2-2-2-2220000000022-2-222-2-2-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ332222-2-2-2-2222-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ342222-2-2-2-2222-2-2-2-2-2-22222222-2-2-2-222-2-22222-2-2-2-222-2-2-2-222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ352222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-122-2-2-2-22211-1-11111-1-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ362222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-122-2-2-2-22211-1-11111-1-1-1-1-1-111111111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ372222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-1-2-22222-2-211-1-11111-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ382222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-1-2-22222-2-211-1-11111-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ392222-2-2-2-2-2-22-2-22222-2-222222-2-2-2-2-2-200000000-2-2222222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ402222-2-2-2-2-2-22-2-22222-2-222222-2-2-2-2-2-200000000-2-2222222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ412222-2-2-2-2-2-2-122-2-22222-2-2-1-1-11111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ422222-2-2-2-2-2-2-122-2-22222-2-2-1-1-11111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ432222-2-2-2-2-2-2-122-2-22222-2-2-1-1-1111111-2-2-2-22222-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ442222-2-2-2-2-2-2-122-2-22222-2-2-1-1-1111111-2-2-2-22222-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ4522-2-22i2i−2i−2i002002i−2i002-2002-2-22i2i−2i−2i00002-2002i−2i00002i−2i002-2000022-2-200002i2i−2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ4622-2-22i2i−2i−2i002002i−2i002-2002-2-22i2i−2i−2i00002-2002i−2i00002i−2i002-2000022-2-200002i2i−2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ4722-2-22i2i−2i−2i002002i−2i002-2002-2-22i2i−2i−2i0000-2200−2i2i00002i−2i002-20000-2-2220000−2i−2i2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ4822-2-22i2i−2i−2i002002i−2i002-2002-2-22i2i−2i−2i0000-2200−2i2i00002i−2i002-20000-2-2220000−2i−2i2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ4922-2-22i2i−2i−2i00200−2i2i00-22002-2-22i2i−2i−2i002-2002i−2i000000−2i2i00-2222-2-200002i2i−2i−2i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000000000
χ5022-2-22i2i−2i−2i00200−2i2i00-22002-2-22i2i−2i−2i002-2002i−2i000000−2i2i00-2222-2-200002i2i−2i−2i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000000000
χ5122-2-22i2i−2i−2i00200−2i2i00-22002-2-22i2i−2i−2i00-2200−2i2i000000−2i2i00-22-2-2220000−2i−2i2i2i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000000000
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χ5322-2-2−2i−2i2i2i002002i−2i00-22002-2-2−2i−2i2i2i002-200−2i2i0000002i−2i00-2222-2-20000−2i−2i2i2i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000000000
χ5422-2-2−2i−2i2i2i002002i−2i00-22002-2-2−2i−2i2i2i002-200−2i2i0000002i−2i00-2222-2-20000−2i−2i2i2i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000000000
χ5522-2-2−2i−2i2i2i002002i−2i00-22002-2-2−2i−2i2i2i00-22002i−2i0000002i−2i00-22-2-22200002i2i−2i−2i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000000000
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χ5822-2-2−2i−2i2i2i00200−2i2i002-2002-2-2−2i−2i2i2i00002-200−2i2i0000−2i2i002-2000022-2-20000−2i−2i2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
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χ884-4-444-4-44-4440000-440000-4-444-4-44-4400000000000000-4400000000000000000000000000000000000000000000000000
χ894-4-444-4-44-44-20000-44000022-2-222-22-2000000000000002-200i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ904-4-444-4-44-44-20000-44000022-2-222-22-2000000000000002-200−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ914-4-44-444-44-440000-440000-4-44-444-44-400000000000000-4400000000000000000000000000000000000000000000000000
χ924-4-44-444-44-4-20000-44000022-22-2-22-22000000000000002-200i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ934-4-44-444-44-4-20000-44000022-22-2-22-22000000000000002-200−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ944-4-44-444-4-44400004-40000-4-44-444-4-44000000000000004-400000000000000000000000000000000000000000000000000
χ954-4-44-444-4-44-200004-4000022-22-2-222-200000000000000-2200i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ964-4-44-444-4-44-200004-4000022-22-2-222-200000000000000-2200−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000

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