Finite Group Databasebeta

← Group #13035607

Character table — Group #13035607

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12224444224444444451010102020202022224444224410102020202020202020202022444444101010102020202044444444444444444488888888888888882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111
χ91111111111-1-1-1-111-1-111111111111111111-11-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ101111111111-1-1-1-111-1-111111111111111111-11-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1
χ111111111111-1-1-1-111-1-11111111111111111-11-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11
χ121111111111-1-1-1-111-1-11111111111111111-11-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11
χ131111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-11-11
χ141111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-11
χ151111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1-11-1
χ161111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1-11-1
χ171111-1-1-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-1
χ181111-1-1-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-1
χ191111-1-1-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-111111-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-111
χ201111-1-1-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-111111-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-111
χ211111-1-1-1-1-1-111-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111
χ221111-1-1-1-1-1-111-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ231111-1-1-1-1-1-111-1-1111-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-1
χ241111-1-1-1-1-1-111-1-1111-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-11-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-11111-1-1
χ251111-1-1-1-1-1-1-1-11111-111111-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1-1-11
χ261111-1-1-1-1-1-1-1-11111-111111-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-11−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ271111-1-1-1-1-1-1-1-11111-111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-11ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-111-1
χ281111-1-1-1-1-1-1-1-11111-111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-11−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii-111-1
χ291111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-111-1
χ301111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ311111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ321111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11
χ3322222222-2-22222-2-2-2-222222222222222220000-2-222-2-222-2-2-2-2-2-22222-2-200000000-2-2000000000000000000000000000000000000
χ3422222222-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-20000-2-222-2-222-2-2-2-222-2-2-2-2220000000022000000000000000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-22222222222222222220000-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-20000000022000000000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-20000-2-2-2-222-2-222-2-22222222200000000-2-2000000000000000000000000000000000000
χ372222-2-2-2-22222-2-2-2-2-222222-2-2-2-22222-2-2-2-200002222-2-2-2-222-2-22222-2-2-2-200000000-22000000000000000000000000000000000000
χ382222-2-2-2-22222-2-2-2-2-222222-2-2-2-2-2-2-2-2222200002222-2-2-2-222-2-2-2-2-2-22222000000002-2000000000000000000000000000000000000
χ392222-2-2-2-222-2-222-2-22-22222-2-2-2-22222-2-2-2-2000022-2-22222-2-2-2-222-2-222-2-2000000002-2000000000000000000000000000000000000
χ402222-2-2-2-222-2-222-2-22-22222-2-2-2-2-2-2-2-22222000022-2-22222-2-2-2-2-2-222-2-22200000000-22000000000000000000000000000000000000
χ4122-2-22i2i−2i−2i002-22i−2i000022-2-22i2i−2i−2i22-2-22i2i−2i−2i0000002-2002i−2i0000002-22i−2i0000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000000000000000
χ4222-2-22i2i−2i−2i002-22i−2i000022-2-22i2i−2i−2i22-2-22i2i−2i−2i0000002-2002i−2i0000002-22i−2i000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000000000000000
χ4322-2-22i2i−2i−2i002-22i−2i000022-2-22i2i−2i−2i-2-222−2i−2i2i2i0000002-2002i−2i000000-22−2i2i0000000000001−i−1+i−1−i1+i1−i−1+i−1−i1+i−1+i1−i1+i−1−i−1+i1−i1+i−1−i00000000000000000000
χ4422-2-22i2i−2i−2i002-22i−2i000022-2-22i2i−2i−2i-2-222−2i−2i2i2i0000002-2002i−2i000000-22−2i2i000000000000−1+i1−i1+i−1−i−1+i1−i1+i−1−i1−i−1+i−1−i1+i1−i−1+i−1−i1+i00000000000000000000
χ4522-2-22i2i−2i−2i00-22−2i2i000022-2-22i2i−2i−2i22-2-22i2i−2i−2i000000-2200−2i2i000000-22−2i2i0000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i1+i−1−i1−i−1+i−1−i1+i−1+i1−i00000000000000000000
χ4622-2-22i2i−2i−2i00-22−2i2i000022-2-22i2i−2i−2i22-2-22i2i−2i−2i000000-2200−2i2i000000-22−2i2i000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i−1−i1+i−1+i1−i1+i−1−i1−i−1+i00000000000000000000
χ4722-2-22i2i−2i−2i00-22−2i2i000022-2-22i2i−2i−2i-2-222−2i−2i2i2i000000-2200−2i2i0000002-22i−2i0000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i−1+i1−i1+i−1−i1−i−1+i−1−i1+i00000000000000000000
χ4822-2-22i2i−2i−2i00-22−2i2i000022-2-22i2i−2i−2i-2-222−2i−2i2i2i000000-2200−2i2i0000002-22i−2i000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i1−i−1+i−1−i1+i−1+i1−i1+i−1−i00000000000000000000
χ4922-2-2−2i−2i2i2i002-2−2i2i000022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000002-200−2i2i0000002-2−2i2i0000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000000000000000
χ5022-2-2−2i−2i2i2i002-2−2i2i000022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000002-200−2i2i0000002-2−2i2i000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000000000000000
χ5122-2-2−2i−2i2i2i002-2−2i2i000022-2-2−2i−2i2i2i-2-2222i2i−2i−2i0000002-200−2i2i000000-222i−2i0000000000001+i−1−i−1+i1−i1+i−1−i−1+i1−i−1−i1+i1−i−1+i−1−i1+i1−i−1+i00000000000000000000
χ5222-2-2−2i−2i2i2i002-2−2i2i000022-2-2−2i−2i2i2i-2-2222i2i−2i−2i0000002-200−2i2i000000-222i−2i000000000000−1−i1+i1−i−1+i−1−i1+i1−i−1+i1+i−1−i−1+i1−i1+i−1−i−1+i1−i00000000000000000000
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χ5422-2-2−2i−2i2i2i00-222i−2i000022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i000000-22002i−2i000000-222i−2i000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i−1+i1−i−1−i1+i1−i−1+i1+i−1−i00000000000000000000
χ5522-2-2−2i−2i2i2i00-222i−2i000022-2-2−2i−2i2i2i-2-2222i2i−2i−2i000000-22002i−2i0000002-2−2i2i0000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i−1−i1+i1−i−1+i1+i−1−i−1+i1−i00000000000000000000
χ5622-2-2−2i−2i2i2i00-222i−2i000022-2-2−2i−2i2i2i-2-2222i2i−2i−2i000000-22002i−2i0000002-2−2i2i000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i1+i−1−i−1+i1−i−1−i1+i1−i−1+i00000000000000000000
χ572-2-222-22-22-200002-2002-2-222-22-22-22-22-22-200002-2000000002-22-200002-20000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000
χ582-2-222-22-22-200002-2002-2-222-22-22-22-22-22-200002-2000000002-22-200002-2000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000
χ592-2-222-22-22-200002-2002-2-222-22-2-22-22-22-2200002-2000000002-2-220000-220000000000000000000000000000002-22-20000-22-220000
χ602-2-222-22-22-200002-2002-2-222-22-2-22-22-22-2200002-2000000002-2-220000-22000000000000000000000000000000-22-2200002-22-20000
χ612-2-222-22-2-220000-22002-2-222-22-22-22-22-22-20000-2200000000-22-220000-22000000000000000000000000002-22-200002-22-200000000
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χ642-2-222-22-2-220000-22002-2-222-22-2-22-22-22-220000-2200000000-222-200002-200000000000000000000000000−2i2i−2i2i00002i−2i2i−2i00000000
χ652-2-22-22-222-20000-22002-2-22-22-222-22-2-22-2200002-200000000-222-20000-22000000000000000000000000002i−2i−2i2i00002i−2i−2i2i00000000
χ662-2-22-22-222-20000-22002-2-22-22-222-22-2-22-2200002-200000000-222-20000-2200000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000
χ672-2-22-22-222-20000-22002-2-22-22-22-22-222-22-200002-200000000-22-2200002-2000000000000000000000000002-2-220000-222-200000000
χ682-2-22-22-222-20000-22002-2-22-22-22-22-222-22-200002-200000000-22-2200002-200000000000000000000000000-222-200002-2-2200000000
χ692-2-22-22-22-2200002-2002-2-22-22-222-22-2-22-220000-22000000002-2-2200002-20000000000000000000000000000002-2-2200002-2-220000
χ702-2-22-22-22-2200002-2002-2-22-22-222-22-2-22-220000-22000000002-2-2200002-2000000000000000000000000000000-222-20000-222-20000
χ712-2-22-22-22-2200002-2002-2-22-22-22-22-222-22-20000-22000000002-22-20000-220000000000000000000000000000002i−2i−2i2i0000−2i2i2i−2i0000
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χ73444444444444444444-1-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000
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χ754444444444-4-4-4-444-4-4-1-1-1-1-1-1-1-1000000004-44-4-1-111111111-1-100000000-1-111-1-11100000000000000000000000000000000000000
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χ7744444444-4-44444-4-4-4-4-1-1-1-1-1-1-1-100000000000011-1-111-1-11111000000005−55−55−55−500000000000000000000000000000000000000
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χ834444-4-4-4-444-4-444-4-44-4-1-1-1-11111000000000000-1-111-1-1-1-11111000000005−5−55−555−500000000000000000000000000000000000000
χ844444-4-4-4-444-4-444-4-44-4-1-1-1-11111000000000000-1-111-1-1-1-1111100000000−555−55−5−5500000000000000000000000000000000000000
χ854444-4-4-4-4-4-444-4-4444-4-1-1-1-111110000000044-4-411-1-1-1-11111-1-100000000-1-1-1-1111100000000000000000000000000000000000000
χ864444-4-4-4-4-4-444-4-4444-4-1-1-1-1111100000000-4-44411-1-1-1-11111-1-1000000001111-1-1-1-100000000000000000000000000000000000000
χ874444-4-4-4-4-4-4-4-44444-44-1-1-1-11111000000004-4-44111111-1-1-1-1-1-100000000-1-11111-1-100000000000000000000000000000000000000
χ884444-4-4-4-4-4-4-4-44444-44-1-1-1-1111100000000-444-4111111-1-1-1-1-1-10000000011-1-1-1-11100000000000000000000000000000000000000
χ894-44-44i−4i−4i4i00000000004-44-44i−4i−4i4i4-4-444i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-44i−4i−4i4i00000000004-44-44i−4i−4i4i-444-4−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ914-44-4−4i4i4i−4i00000000004-44-4−4i4i4i−4i4-4-44−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-4−4i4i4i−4i00000000004-44-4−4i4i4i−4i-444-44i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-88i8i−8i−8i008-88i−8i0000-2-222−2i−2i2i2i00000000000000-2200−2i2i0000000000000000000000000000000000000000000000000000000000
χ9488-8-88i8i−8i−8i00-88−8i8i0000-2-222−2i−2i2i2i000000000000002-2002i−2i0000000000000000000000000000000000000000000000000000000000
χ9588-8-8−8i−8i8i8i008-8−8i8i0000-2-2222i2i−2i−2i00000000000000-22002i−2i0000000000000000000000000000000000000000000000000000000000
χ9688-8-8−8i−8i8i8i00-888i−8i0000-2-2222i2i−2i−2i000000000000002-200−2i2i0000000000000000000000000000000000000000000000000000000000
χ978-88-88i−8i−8i8i0000000000-22-22−2i2i2i−2i000000000000000025−25002i5−2i500000000000000000000000000000000000000000000000000000000
χ988-88-88i−8i−8i8i0000000000-22-22−2i2i2i−2i0000000000000000−252500−2i52i500000000000000000000000000000000000000000000000000000000
χ998-88-8−8i8i8i−8i0000000000-22-222i−2i−2i2i000000000000000025−2500−2i52i500000000000000000000000000000000000000000000000000000000
χ1008-88-8−8i8i8i−8i0000000000-22-222i−2i−2i2i0000000000000000−2525002i5−2i500000000000000000000000000000000000000000000000000000000
χ1018-8-888-88-88-800008-800-222-2-22-22000000000000-2200000000-22000000000000000000000000000000000000000000000000000000
χ1028-8-888-88-8-880000-8800-222-2-22-220000000000002-2000000002-2000000000000000000000000000000000000000000000000000000
χ1038-8-88-88-888-80000-8800-222-22-22-2000000000000-22000000002-2000000000000000000000000000000000000000000000000000000
χ1048-8-88-88-88-8800008-800-222-22-22-20000000000002-200000000-22000000000000000000000000000000000000000000000000000000

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