Finite Group Databasebeta

← Group #13028375

Character table — Group #13028375

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12222222444444444451010101010101022222222244420202020202020202020202044444444101020202020202044444444444444444444444444444444442444
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
χ31111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−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−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111
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−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111
χ9111111111111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1
χ11111111111111-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111
χ12111111111111-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ13111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-111
χ14111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-111
χ15111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-1
χ16111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-1
χ1711111111-1-1-1-11111-1-111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11
χ1811111111-1-1-1-11111-1-111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-111-1-11-1-11
χ1911111111-1-1-1-11111-1-11111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-111-1
χ2011111111-1-1-1-11111-1-11111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111-1-111-111-1
χ2111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111iiii−i−i−i−iii−i−i−i−iii−i−i−i−iiiii−i−iiiii−i−i-111-1
χ2211111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−iiiii−i−i−i−iii−i−i−i−iii-111-1
χ2311111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ2411111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ2511111111-1-1-1-1-1-1-1-11111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11-11-1
χ2611111111-1-1-1-1-1-1-1-11111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111111-11-1
χ2711111111-1-1-1-1-1-1-1-1111111111111111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-11
χ2811111111-1-1-1-1-1-1-1-1111111111111111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11
χ2911111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiii-11-11
χ3011111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i-11-11
χ3111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1ii−i−i−i−iii−i−i−i−iiiii−i−iiiii−i−iiiii−i−i−i−i1-11-1
χ3211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1−i−iiiii−i−iiiii−i−i−i−iii−i−i−i−iii−i−i−i−iiiii1-11-1
χ33222-2-2-2-222i2i−2i−2i000000222-2-2-2-222-222-2-22-200002i2i−2i−2i000000002i2i−2i−2i00000000000000002i−2i002i−2i00000000002-2002-2000000000000
χ34222-2-2-2-222i2i−2i−2i000000222-2-2-2-222-222-2-22-200002i2i−2i−2i000000002i2i−2i−2i0000000000000000−2i2i00−2i2i0000000000-2200-22000000000000
χ35222-2-2-2-222i2i−2i−2i000000222-2-2-2-22-22-2-222-2200002i2i−2i−2i00000000−2i−2i2i2i00000000000000002-200-220000000000−2i2i002i−2i000000000000
χ36222-2-2-2-222i2i−2i−2i000000222-2-2-2-22-22-2-222-2200002i2i−2i−2i00000000−2i−2i2i2i0000000000000000-22002-200000000002i−2i00−2i2i000000000000
χ37222-2-2-2-22−2i−2i2i2i000000222-2-2-2-222-222-2-22-20000−2i−2i2i2i00000000−2i−2i2i2i00000000000000002i−2i002i−2i0000000000-2200-22000000000000
χ38222-2-2-2-22−2i−2i2i2i000000222-2-2-2-222-222-2-22-20000−2i−2i2i2i00000000−2i−2i2i2i0000000000000000−2i2i00−2i2i00000000002-2002-2000000000000
χ39222-2-2-2-22−2i−2i2i2i000000222-2-2-2-22-22-2-222-220000−2i−2i2i2i000000002i2i−2i−2i00000000000000002-200-2200000000002i−2i00−2i2i000000000000
χ40222-2-2-2-22−2i−2i2i2i000000222-2-2-2-22-22-2-222-220000−2i−2i2i2i000000002i2i−2i−2i0000000000000000-22002-20000000000−2i2i002i−2i000000000000
χ4122-222-2-2-200002i2i−2i−2i0022-222-2-2-22-22-22-2-22000000002i2i−2i−2i000000002i2i−2i−2i0000000000000000002i−2i002i−2i0000000000002-2002-20000
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χ4322-222-2-2-200002i2i−2i−2i0022-222-2-2-2-22-22-222-2000000002i2i−2i−2i00000000−2i−2i2i2i0000000000000000002-200-22000000000000−2i2i002i−2i0000
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χ522-222-22-2-22-22-2−2i2i−2i2i−2i2i2-222-22-2-2-2222-2-2-2200002-22-2−2i2i−2i2i−2i−2i2i2i-22-222i−2i2i−2i000000002i−2i000000000000000000000000000000000000
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χ924-4-4-444-4400000000004-4-4-444-44-444-44-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ93888-8-8-8-888i8i−8i−8i000000-2-2-22222-2000000000000−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000
χ94888-8-8-8-88−8i−8i8i8i000000-2-2-22222-20000000000002i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000
χ9588-888-8-8-800008i8i−8i−8i00-2-22-2-22220000000000000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ9688-888-8-8-80000−8i−8i8i8i00-2-22-2-222200000000000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ9788-8-8-888-80000000000-2-2222-2-22000000000000000000002i5−2i52i5−2i5000000000000000000000000000000000000000000000000000000
χ9888-8-8-888-80000000000-2-2222-2-2200000000000000000000−2i52i5−2i52i5000000000000000000000000000000000000000000000000000000
χ998-88-88-88-88i−8i−8i8i000000-22-22-22-22000000000000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000
χ1008-88-88-88-8−8i8i8i−8i000000-22-22-22-220000000000002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-8-88800008-8-8800-222-222-2-20000000000000000-222-20000000000000000000000000000000000000000000000000000000000
χ1028-8-88-8-8880000-888-800-222-222-2-200000000000000002-2-220000000000000000000000000000000000000000000000000000000000
χ1038-8-8-888-880000000000-2222-2-22-20000000000000000000025−25−2525000000000000000000000000000000000000000000000000000000
χ1048-8-8-888-880000000000-2222-2-22-200000000000000000000−252525−25000000000000000000000000000000000000000000000000000000

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