Finite Group Databasebeta

← Group #13022304

Character table — Group #13022304

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12222222444444444451010101010101044444444444420202020202020202020202022224444202020202020202044444444444444444488888888888888882244
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
χ911111111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1011111111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ1111111111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1211111111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ1311111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1
χ1411111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ1511111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ1611111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111
χ17111-1-1-11-1ii−i−i11-1-1i−i111-1-1-1-1111-1-111-1-1i−i1-1iiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i11-1-1i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-11-1i−i
χ18111-1-1-11-1ii−i−i11-1-1i−i111-1-1-1-1111-1-111-1-1i−i1-1iiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i11-1-1i−i-1-111−i−iii-1-111−i−iii−i−iii-1-111−i−iii-1-1111-1i−i
χ19111-1-1-11-1ii−i−i11-1-1i−i111-1-1-1-1111-1-111-1-1−ii-11iiii−i−i−i−i11-1-11-11-1ii−i−i−i−iii-1-111i−i11-1-1ii−i−i11-1-1ii−i−i−i−iii-1-111−i−iii-1-111-11−ii
χ20111-1-1-11-1ii−i−i11-1-1i−i111-1-1-1-1111-1-111-1-1−ii-11iiii−i−i−i−i11-1-11-11-1ii−i−i−i−iii-1-111i−i-1-111−i−iii-1-111−i−iiiii−i−i11-1-1ii−i−i11-1-1-11−ii
χ21111-1-1-11-1ii−i−i11-1-1i−i111-1-1-1-11-1-111-1-111i−i1-1iiii−i−i−i−i11-1-1-11-11−i−iiiii−i−i11-1-1−iiii−i−i-1-111−i−iii11-1-1-1-111ii−i−i11-1-1−i−iii-11−ii
χ22111-1-1-11-1ii−i−i11-1-1i−i111-1-1-1-11-1-111-1-111i−i1-1iiii−i−i−i−i11-1-1-11-11−i−iiiii−i−i11-1-1−ii−i−iii11-1-1ii−i−i-1-11111-1-1−i−iii-1-111ii−i−i-11−ii
χ23111-1-1-11-1ii−i−i11-1-1i−i111-1-1-1-11-1-111-1-111−ii-11iiii−i−i−i−i11-1-1-11-11−i−iii−i−iii-1-111−iiii−i−i-1-111−i−iii11-1-111-1-1−i−iii-1-111ii−i−i1-1i−i
χ24111-1-1-11-1ii−i−i11-1-1i−i111-1-1-1-11-1-111-1-111−ii-11iiii−i−i−i−i11-1-1-11-11−i−iii−i−iii-1-111−ii−i−iii11-1-1ii−i−i-1-111-1-111ii−i−i11-1-1−i−iii1-1i−i
χ25111-1-1-11-1−i−iii11-1-1−ii111-1-1-1-1111-1-111-1-1i−i-11−i−i−i−iiiii11-1-11-11-1−i−iiiii−i−i-1-111−ii11-1-1−i−iii11-1-1−i−iiiii−i−i-1-111ii−i−i-1-111-11i−i
χ26111-1-1-11-1−i−iii11-1-1−ii111-1-1-1-1111-1-111-1-1i−i-11−i−i−i−iiiii11-1-11-11-1−i−iiiii−i−i-1-111−ii-1-111ii−i−i-1-111ii−i−i−i−iii11-1-1−i−iii11-1-1-11i−i
χ27111-1-1-11-1−i−iii11-1-1−ii111-1-1-1-1111-1-111-1-1−ii1-1−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii11-1-1−ii11-1-1−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii11-1-11-1−ii
χ28111-1-1-11-1−i−iii11-1-1−ii111-1-1-1-1111-1-111-1-1−ii1-1−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii11-1-1−ii-1-111ii−i−i-1-111ii−i−iii−i−i-1-111ii−i−i-1-1111-1−ii
χ29111-1-1-11-1−i−iii11-1-1−ii111-1-1-1-11-1-111-1-111i−i-11−i−i−i−iiiii11-1-1-11-11ii−i−iii−i−i-1-111i−iii−i−i11-1-1−i−iii-1-111-1-111−i−iii11-1-1ii−i−i1-1−ii
χ30111-1-1-11-1−i−iii11-1-1−ii111-1-1-1-11-1-111-1-111i−i-11−i−i−i−iiiii11-1-1-11-11ii−i−iii−i−i-1-111i−i−i−iii-1-111ii−i−i11-1-111-1-1ii−i−i-1-111−i−iii1-1−ii
χ31111-1-1-11-1−i−iii11-1-1−ii111-1-1-1-11-1-111-1-111−ii1-1−i−i−i−iiiii11-1-1-11-11ii−i−i−i−iii11-1-1i−iii−i−i11-1-1−i−iii-1-11111-1-1ii−i−i-1-111−i−iii-11i−i
χ32111-1-1-11-1−i−iii11-1-1−ii111-1-1-1-11-1-111-1-111−ii1-1−i−i−i−iiiii11-1-1-11-11ii−i−i−i−iii11-1-1i−i−i−iii-1-111ii−i−i11-1-1-1-111−i−iii11-1-1ii−i−i-11i−i
χ33222222222222-2-2-2-2-2-22222222222222222000022-2-222-2-2-2-2-2-2-2-2-2-2222200000000-2-2000000000000000000000000000000000000
χ34222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000022-2-222-2-2-2-2-2-22222-2-2-2-20000000022000000000000000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-22222222222222222220000-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-20000000022000000000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-20000-2-222-2-222-2-2-2-22222222200000000-2-2000000000000000000000000000000000000
χ37222-2-2-22-22i2i−2i−2i-2-222−2i2i222-2-2-2-2222-2-222-2-200002i2i−2i−2i−2i−2i2i2i-2-222-22-222i2i−2i−2i00000000−2i2i000000000000000000000000000000000000
χ38222-2-2-22-22i2i−2i−2i-2-222−2i2i222-2-2-2-22-2-222-2-22200002i2i−2i−2i−2i−2i2i2i-2-2222-22-2−2i−2i2i2i000000002i−2i000000000000000000000000000000000000
χ39222-2-2-22-2−2i−2i2i2i-2-2222i−2i222-2-2-2-2222-2-222-2-20000−2i−2i2i2i2i2i−2i−2i-2-222-22-22−2i−2i2i2i000000002i−2i000000000000000000000000000000000000
χ40222-2-2-22-2−2i−2i2i2i-2-2222i−2i222-2-2-2-22-2-222-2-2220000−2i−2i2i2i2i2i−2i−2i-2-2222-22-22i2i−2i−2i00000000−2i2i000000000000000000000000000000000000
χ4122-222-2-2-22i−2i2i−2i00000022-2-22-22-22i−2i2i−2i2i−2i2i−2i00002i−2i002i−2i00000000002-22-200000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000
χ4222-222-2-2-22i−2i2i−2i00000022-2-22-22-22i−2i2i−2i2i−2i2i−2i00002i−2i002i−2i00000000002-22-20000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000
χ4322-222-2-2-22i−2i2i−2i00000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i00002i−2i002i−2i0000000000-22-2200000000001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i00000000000000000000
χ4422-222-2-2-22i−2i2i−2i00000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i00002i−2i002i−2i0000000000-22-220000000000−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i00000000000000000000
χ4522-222-2-2-2−2i2i−2i2i00000022-2-22-22-22i−2i2i−2i2i−2i2i−2i0000−2i2i00−2i2i0000000000-22-2200000000001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00000000000000000000
χ4622-222-2-2-2−2i2i−2i2i00000022-2-22-22-22i−2i2i−2i2i−2i2i−2i0000−2i2i00−2i2i0000000000-22-220000000000−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00000000000000000000
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χ4822-222-2-2-2−2i2i−2i2i00000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i0000−2i2i00−2i2i00000000002-22-20000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000
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χ5222-2-2-22-222-2-2200000022-22-22-2-2−2i2i2i−2i−2i2i2i−2i00002-200-2200000000002i−2i−2i2i0000000000−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i00000000000000000000
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χ572-2-22-2-22200002-22-2002-2-22-2-22222-2-2-2-2220000000000002-22-222-2-200000000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000
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χ682-2-2-2222-200002-2-22002-2-2-222-22-2-2-2-222220000000000002-2-22-222-20000000000000000000000000000000000-222-200002-2-220000
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χ722-2-2-2222-20000-222-2002-2-2-222-22-2-2-2-22222000000000000-222-22-2-22000000000000000000000000000000-222-200002-2-2200000000
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χ81444-4-4-44-44i4i−4i−4i44-4-44i−4i-1-1-11111-1000000004i−4i4-4−i−i−i−iiiii-1-11100000000−i−iii-1-11100000000000000000000000000000000000000
χ82444-4-4-44-44i4i−4i−4i44-4-44i−4i-1-1-11111-100000000−4i4i-44−i−i−i−iiiii-1-11100000000ii−i−i11-1-100000000000000000000000000000000000000
χ83444-4-4-44-44i4i−4i−4i-4-444−4i4i-1-1-11111-1000000000000−i−iiiii−i−i11-1-100000000i5−i5−i5i55−5−5500000000000000000000000000000000000000
χ84444-4-4-44-44i4i−4i−4i-4-444−4i4i-1-1-11111-1000000000000−i−iiiii−i−i11-1-100000000−i5i5i5−i5−555−500000000000000000000000000000000000000
χ85444-4-4-44-4−4i−4i4i4i44-4-4−4i4i-1-1-11111-1000000004i−4i-44iiii−i−i−i−i-1-11100000000−i−iii11-1-100000000000000000000000000000000000000
χ86444-4-4-44-4−4i−4i4i4i44-4-4−4i4i-1-1-11111-100000000−4i4i4-4iiii−i−i−i−i-1-11100000000ii−i−i-1-11100000000000000000000000000000000000000
χ87444-4-4-44-4−4i−4i4i4i-4-4444i−4i-1-1-11111-1000000000000ii−i−i−i−iii11-1-100000000i5−i5−i5i5−555−500000000000000000000000000000000000000
χ88444-4-4-44-4−4i−4i4i4i-4-4444i−4i-1-1-11111-1000000000000ii−i−i−i−iii11-1-100000000−i5i5i5−i55−5−5500000000000000000000000000000000000000
χ894-444-44-4-400000000004-44-4-444-44i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ904-444-44-4-400000000004-44-4-444-4−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ914-44-44-4-4400000000004-4444-4-4-44i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-44-4-4400000000004-4444-4-4-4−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ9388-888-8-8-88i−8i8i−8i000000-2-222-22-22000000000000−2i2i00−2i2i000000000000000000000000000000000000000000000000000000000000
χ9488-888-8-8-8−8i8i−8i8i000000-2-222-22-220000000000002i−2i002i−2i000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-88-888-8-88000000-2-22-22-222000000000000-22002-2000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-88-88-888-8000000-2-22-22-2220000000000002-200-22000000000000000000000000000000000000000000000000000000000000
χ978-888-88-8-80000000000-22-222-2-22000000000000002i5−2i5002i5−2i50000000000000000000000000000000000000000000000000000000000
χ988-888-88-8-80000000000-22-222-2-2200000000000000−2i52i500−2i52i50000000000000000000000000000000000000000000000000000000000
χ998-88-88-8-880000000000-22-2-2-22220000000000000025−2500−25250000000000000000000000000000000000000000000000000000000000
χ1008-88-88-8-880000000000-22-2-2-222200000000000000−25250025−250000000000000000000000000000000000000000000000000000000000
χ1018-8-88-8-88800008-88-800-222-222-2-200000000000000000000-22-22000000000000000000000000000000000000000000000000000000
χ1028-8-88-8-8880000-88-8800-222-222-2-2000000000000000000002-22-2000000000000000000000000000000000000000000000000000000
χ1038-8-8-8888-800008-8-8800-2222-2-22-200000000000000000000-222-2000000000000000000000000000000000000000000000000000000
χ1048-8-8-8888-80000-888-800-2222-2-22-2000000000000000000002-2-22000000000000000000000000000000000000000000000000000000

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