Finite Group Databasebeta

← Group #13028210

Character table — Group #13028210

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12222222444422444444510101010101010222222224410101010202020202020202044444444444420202020202020202244444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiii−i−i−i−i-1-1i−ii−i
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−iiiii-1-1−ii−ii
χ511111111111111-1-111-1-11111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1
χ611111111111111-1-111-1-11111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111
χ711111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-111-1-111iiii−i−i−i−i−i−iiiii−i−i−i−iii11−ii−ii
χ811111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−iiiiiii−i−i−i−iiiii−i−i11i−ii−i
χ9111111111111-1-111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1
χ10111111111111-1-111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-11111-1-111-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−i11−ii−ii
χ12111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-11111-1-111-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii11i−ii−i
χ13111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111
χ14111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-11111-1-111111111−i−i−i−i−i−iiiiiiiii−i−i−i−iii-1-1i−ii−i
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-11111-1-111111111iiiiii−i−i−i−i−i−i−i−iiiii−i−i-1-1−ii−ii
χ1711111111-1-1-1-11111-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11-111-1-1
χ1811111111-1-1-1-11111-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111111111-1-1-111
χ1911111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−i−i−i−i−iiiii-11i−i−ii
χ2011111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iiiiiii−i−i−i−i-11−iii−i
χ2111111111-1-1-1-111-1-1-1-1111111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-11-1-111
χ2211111111-1-1-1-111-1-1-1-1111111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1111111-1-111-1-1-1111-1-1
χ2311111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-1-11111-1-1ii−i−i−i−i−i−iiiii−i−iiiii−i−i1-1−iii−i
χ2411111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-1-11111-1-1−i−iiiiiii−i−i−i−iii−i−i−i−iii1-1i−i−ii
χ2511111111-1-1-1-1-1-11111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-111
χ2611111111-1-1-1-1-1-11111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1111-1-1
χ2711111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11-1-111-1-111-1-1-1-111−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1−iii−i
χ2811111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11-1-111-1-111-1-1-1-111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1i−i−ii
χ2911111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1111-111-1-1
χ3011111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-11111-1-111-1-11-1-1-111
χ3111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-111-1-1111111-1-1-1-1−i−iii−i−iii−i−iii−i−iiiii−i−i-11i−i−ii
χ3211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-111-1-1111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii-11−iii−i
χ3322-2-222-2-2000000002i−2i0022-2-222-2-22-222-2-22-200000000002i2i−2i−2i000022-2-222-2-20000000000002i−2i00002i−2i00002i−2i0000000000000000
χ3422-2-222-2-2000000002i−2i0022-2-222-2-22-222-2-22-200000000002i2i−2i−2i0000-2-222-2-2220000000000002i−2i0000−2i2i0000−2i2i0000000000000000
χ3522-2-222-2-2000000002i−2i0022-2-222-2-2-22-2-222-2200000000002i2i−2i−2i00002i2i−2i−2i−2i−2i2i2i000000000000−2i2i0000-2200002-20000000000000000
χ3622-2-222-2-2000000002i−2i0022-2-222-2-2-22-2-222-2200000000002i2i−2i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000−2i2i00002-20000-220000000000000000
χ3722-2-222-2-200000000−2i2i0022-2-222-2-22-222-2-22-20000000000−2i−2i2i2i000022-2-222-2-2000000000000−2i2i0000−2i2i0000−2i2i0000000000000000
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χ3922-2-222-2-200000000−2i2i0022-2-222-2-2-22-2-222-220000000000−2i−2i2i2i00002i2i−2i−2i−2i−2i2i2i0000000000002i−2i00002-20000-220000000000000000
χ4022-2-222-2-200000000−2i2i0022-2-222-2-2-22-2-222-220000000000−2i−2i2i2i0000−2i−2i2i2i2i2i−2i−2i0000000000002i−2i0000-2200002-20000000000000000
χ4122-2-2-2-22222-2-20000000022-2-2-2-222222-22-2-2-200000022-2-2000022-2-200000000000000000000000000002i−2i00002i−2i002i−2i002i−2i000000
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χ4422-2-2-2-22222-2-20000000022-2-2-2-222-2-2-22-222200000022-2-20000-2-2220000000000000000000000000000-2200002-200-22002-2000000
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χ4722-2-2-2-222-2-2220000000022-2-2-2-222-2-2-22-2222000000-2-222000022-2-200000000000000000000000000002-20000-2200-22002-2000000
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χ948888-8-8-8-8000000000000-2-2-2-222220000000000−252525−2500000000000000000000000000000000000000000000000000000000000000
χ9588-8-888-8-8000000008i−8i00-2-222-2-222000000000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ9688-8-888-8-800000000−8i8i00-2-222-2-2220000000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ9788-8-8-8-88888-8-800000000-2-22222-2-200000000000000-2-2220000000000000000000000000000000000000000000000000000000000
χ9888-8-8-8-888-8-88800000000-2-22222-2-20000000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ998-88-88-88-88i−8i8i−8i00000000-22-22-22-2200000000000000−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1008-88-88-88-8−8i8i−8i8i00000000-22-22-22-22000000000000002i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1018-88-8-88-88000000000000-22-222-22-200000000000000000025−25−2525000000000000000000000000000000000000000000000000000000
χ1028-88-8-88-88000000000000-22-222-22-2000000000000000000−252525−25000000000000000000000000000000000000000000000000000000
χ1038-8-888-8-8800008-8000000-222-2-222-20000000000-2-22200000000000000000000000000000000000000000000000000000000000000
χ1048-8-888-8-880000-88000000-222-2-222-2000000000022-2-200000000000000000000000000000000000000000000000000000000000000

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