Finite Group Databasebeta

← Group #13022299

Character table — Group #13022299

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12222222444444444451010101010101022222222224420202020202020202020202044444444101010102020202044444444444444444488888888888888882244
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
χ9111111111111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ10111111111111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ11111111111111-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ12111111111111-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ13111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111
χ14111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ15111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ16111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1
χ17111-11-1-1-111-1-1ii−i−ii−i111-11-1-1-1111-1-1-11-11-1i−i11-1-1iiii−i−i−i−i1-1ii−i−i1-111-1-1ii−i−ii−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ18111-11-1-1-111-1-1ii−i−ii−i111-11-1-1-1111-1-1-11-11-1i−i11-1-1iiii−i−i−i−i1-1ii−i−i1-111-1-1ii−i−ii−i-1-111−i−iii-1-111−i−iii-1-111−i−iii-1-111−i−iii1-1i−i
χ19111-11-1-1-111-1-1ii−i−ii−i111-11-1-1-1111-1-1-11-1-11−ii11-1-1iiii−i−i−i−i1-1ii−i−i1-1-1-111−i−iiii−i11-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii-1-111−i−iii-11−ii
χ20111-11-1-1-111-1-1ii−i−ii−i111-11-1-1-1111-1-1-11-1-11−ii11-1-1iiii−i−i−i−i1-1ii−i−i1-1-1-111−i−iiii−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i11-1-1ii−i−i-11−ii
χ21111-11-1-1-111-1-1ii−i−ii−i111-11-1-1-1-1-1-1111-111-1i−i11-1-1iiii−i−i−i−i-11−i−iii-1111-1-1ii−i−i−iiii−i−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii11-1-1-11−ii
χ22111-11-1-1-111-1-1ii−i−ii−i111-11-1-1-1-1-1-1111-111-1i−i11-1-1iiii−i−i−i−i-11−i−iii-1111-1-1ii−i−i−ii−i−iii11-1-1ii−i−i-1-111−i−iii11-1-1ii−i−i-1-111-11−ii
χ23111-11-1-1-111-1-1ii−i−ii−i111-11-1-1-1-1-1-1111-11-11−ii11-1-1iiii−i−i−i−i-11−i−iii-11-1-111−i−iii−iiii−i−i-1-111−i−iii11-1-1−i−iii11-1-1ii−i−i-1-1111-1i−i
χ24111-11-1-1-111-1-1ii−i−ii−i111-11-1-1-1-1-1-1111-11-11−ii11-1-1iiii−i−i−i−i-11−i−iii-11-1-111−i−iii−ii−i−iii11-1-1ii−i−i-1-111ii−i−i-1-111−i−iii11-1-11-1i−i
χ25111-11-1-1-111-1-1−i−iii−ii111-11-1-1-1111-1-1-11-11-1−ii11-1-1−i−i−i−iiiii1-1−i−iii1-111-1-1−i−iii−ii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii
χ26111-11-1-1-111-1-1−i−iii−ii111-11-1-1-1111-1-1-11-11-1−ii11-1-1−i−i−i−iiiii1-1−i−iii1-111-1-1−i−iii−ii-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i1-1−ii
χ27111-11-1-1-111-1-1−i−iii−ii111-11-1-1-1111-1-1-11-1-11i−i11-1-1−i−i−i−iiiii1-1−i−iii1-1-1-111ii−i−i−ii11-1-1−i−iii11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-11i−i
χ28111-11-1-1-111-1-1−i−iii−ii111-11-1-1-1111-1-1-11-1-11i−i11-1-1−i−i−i−iiiii1-1−i−iii1-1-1-111ii−i−i−ii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii11-1-1−i−iii-11i−i
χ29111-11-1-1-111-1-1−i−iii−ii111-11-1-1-1-1-1-1111-111-1−ii11-1-1−i−i−i−iiiii-11ii−i−i-1111-1-1−i−iiii−iii−i−i11-1-1−i−iii-1-111ii−i−i11-1-1−i−iii-1-111-11i−i
χ30111-11-1-1-111-1-1−i−iii−ii111-11-1-1-1-1-1-1111-111-1−ii11-1-1−i−i−i−iiiii-11ii−i−i-1111-1-1−i−iiii−i−i−iii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i11-1-1-11i−i
χ31111-11-1-1-111-1-1−i−iii−ii111-11-1-1-1-1-1-1111-11-11i−i11-1-1−i−i−i−iiiii-11ii−i−i-11-1-111ii−i−ii−iii−i−i11-1-1−i−iii-1-111−i−iii-1-111ii−i−i11-1-11-1−ii
χ32111-11-1-1-111-1-1−i−iii−ii111-11-1-1-1-1-1-1111-11-11i−i11-1-1−i−i−i−iiiii-11ii−i−i-11-1-111ii−i−ii−i−i−iii-1-111ii−i−i11-1-1ii−i−i11-1-1−i−iii-1-1111-1−ii
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χ3522222222-2-2-2-2-2-2-2-22222222222222222220000-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-20000000022000000000000000000000000000000000000
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χ37222-22-2-2-2-2-2222i2i−2i−2i−2i2i222-22-2-2-2222-2-2-22-20000-2-2222i2i−2i−2i−2i−2i2i2i-222i2i−2i−2i-2200000000−2i2i000000000000000000000000000000000000
χ38222-22-2-2-2-2-2222i2i−2i−2i−2i2i222-22-2-2-2-2-2-2222-220000-2-2222i2i−2i−2i−2i−2i2i2i2-2−2i−2i2i2i2-2000000002i−2i000000000000000000000000000000000000
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χ914-44-4-44-4400000000004-44-4-44-444-4-444-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-4-44-4400000000004-44-4-44-44-444-4-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ9388-88-88-8-800008i−8i8i−8i00-2-22-22-2220000000000000000−2i2i00−2i2i00000000000000000000000000000000000000000000000000000000
χ9488-88-88-8-80000−8i8i−8i8i00-2-22-22-22200000000000000002i−2i002i−2i00000000000000000000000000000000000000000000000000000000
χ9588-8-8-8-88800008-8-8800-2-22222-2-20000000000000000-22002-200000000000000000000000000000000000000000000000000000000
χ9688-8-8-8-8880000-888-800-2-22222-2-200000000000000002-200-2200000000000000000000000000000000000000000000000000000000
χ978-888-8-88-80000000000-22-2-222-220000000000000000002i5−2i5002i5−2i5000000000000000000000000000000000000000000000000000000
χ988-888-8-88-80000000000-22-2-222-22000000000000000000−2i52i500−2i52i5000000000000000000000000000000000000000000000000000000
χ998-88-8-88-880000000000-22-222-22-200000000000000000025−2500−2525000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-880000000000-22-222-22-2000000000000000000−25250025−25000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-888-88-8000000-222-2-222-2000000000000-22-2200000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-8-88-88-88000000-222-2-222-20000000000002-22-200000000000000000000000000000000000000000000000000000000000000
χ1038-8-8-8888-88-8-88000000-2222-2-2-22000000000000-222-200000000000000000000000000000000000000000000000000000000000000
χ1048-8-8-8888-8-888-8000000-2222-2-2-220000000000002-2-2200000000000000000000000000000000000000000000000000000000000000

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