Finite Group Databasebeta

← Group #13028342

Character table — Group #13028342

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12222222444444444444510101010101010222222224420202020202020202020202044444444444420202020202020204444444444444444444444444444444444
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−i11111111-1-1-1-1-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−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−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii
χ511111111111111-1-111-1-11111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-111-1-11111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111
χ711111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iiiii−i−i−i−i−i−i−i−iiiii11−i−iii
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−iii−i−i−i−iiiiiiiii−i−i−i−i11ii−i−i
χ9111111111111-1-111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1
χ10111111111111-1-111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111
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−i11-1-111-1-111-1-111-1-1−i−iiiii−i−iiiii−i−iii−i−i−i−i11−i−iii
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−iiiii11-1-111-1-111-1-111-1-1ii−i−i−i−iii−i−i−i−iii−i−iiiii11ii−i−i
χ13111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ14111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-111111111-1-1-1-1
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-1-111-1-11111111111−i−iiiii−i−i−i−i−i−i−i−iiiiiii-1-1ii−i−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-1-111-1-11111111111ii−i−i−i−iiiiiiiii−i−i−i−i−i−i-1-1−i−iii
χ1711111111-1-1-1-11111-1-1-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-111-11-1
χ1811111111-1-1-1-11111-1-1-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-111-11-11-11
χ1911111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-1-111-1-1-1-11111ii−i−i−i−i−i−iii−i−iiiii−i−iii1-1i−i−ii
χ2011111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-1-111-1-1-1-11111−i−iiiiiii−i−iii−i−i−i−iii−i−i1-1−iii−i
χ2111111111-1-1-1-111-1-1-1-11111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-11
χ2211111111-1-1-1-111-1-1-1-11111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1111111-1-11-11-11-1
χ2311111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-11111-1-1-1-11111-1-1ii−i−i−i−i−i−i−i−iiiiiiiii−i−i-11−iii−i
χ2411111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-11111-1-1-1-11111-1-1−i−iiiiiiiii−i−i−i−i−i−i−i−iii-11i−i−ii
χ2511111111-1-1-1-1-1-11111-1-111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11-11
χ2611111111-1-1-1-1-1-11111-1-111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1111-11-11-1
χ2711111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i1111-1-1-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii-11−iii−i
χ2811111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii1111-1-1-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−i-11i−i−ii
χ2911111111-1-1-1-1-1-1-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-111-11-1
χ3011111111-1-1-1-1-1-1-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-111-1-1-11-11-11
χ3111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iii−i−iii−i−iiiii−i−iii−i−i1-1i−i−ii
χ3211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−iii−i−iii−i−i−i−iii−i−iii1-1−iii−i
χ332222-2-2-2-200002-20000002222-2-2-2-222-2-222-2-20022-2-200000000000022-2-222-2-2000000002-20000002-22-20000000000000000000000
χ342222-2-2-2-200002-20000002222-2-2-2-222-2-222-2-20022-2-2000000000000-2-222-2-222000000002-2000000-22-220000000000000000000000
χ352222-2-2-2-200002-20000002222-2-2-2-2-2-222-2-2220022-2-20000000000002i2i−2i−2i−2i−2i2i2i00000000-220000002i−2i−2i2i0000000000000000000000
χ362222-2-2-2-200002-20000002222-2-2-2-2-2-222-2-2220022-2-2000000000000−2i−2i2i2i2i2i−2i−2i00000000-22000000−2i2i2i−2i0000000000000000000000
χ372222-2-2-2-20000-220000002222-2-2-2-222-2-222-2-200-2-22200000000000022-2-222-2-200000000-22000000-22-220000000000000000000000
χ382222-2-2-2-20000-220000002222-2-2-2-222-2-222-2-200-2-222000000000000-2-222-2-22200000000-220000002-22-20000000000000000000000
χ392222-2-2-2-20000-220000002222-2-2-2-2-2-222-2-22200-2-2220000000000002i2i−2i−2i−2i−2i2i2i000000002-2000000−2i2i2i−2i0000000000000000000000
χ402222-2-2-2-20000-220000002222-2-2-2-2-2-222-2-22200-2-222000000000000−2i−2i2i2i2i2i−2i−2i000000002-20000002i−2i−2i2i0000000000000000000000
χ4122-2-22-22-2000000002i−2i0022-2-22-22-22-22-22-22-200000000002i2i−2i−2i00002-22-22-22-20000000000002i−2i000000002i−2i0000002i−2i0000000000
χ4222-2-22-22-2000000002i−2i0022-2-22-22-22-22-22-22-200000000002i2i−2i−2i0000-22-22-22-220000000000002i−2i00000000−2i2i000000−2i2i0000000000
χ4322-2-22-22-2000000002i−2i0022-2-22-22-2-22-22-22-2200000000002i2i−2i−2i00002i−2i2i−2i−2i2i−2i2i000000000000−2i2i00000000-220000002-20000000000
χ4422-2-22-22-2000000002i−2i0022-2-22-22-2-22-22-22-2200000000002i2i−2i−2i0000−2i2i−2i2i2i−2i2i−2i000000000000−2i2i000000002-2000000-220000000000
χ4522-2-22-22-200000000−2i2i0022-2-22-22-22-22-22-22-20000000000−2i−2i2i2i00002-22-22-22-2000000000000−2i2i00000000−2i2i000000−2i2i0000000000
χ4622-2-22-22-200000000−2i2i0022-2-22-22-22-22-22-22-20000000000−2i−2i2i2i0000-22-22-22-22000000000000−2i2i000000002i−2i0000002i−2i0000000000
χ4722-2-22-22-200000000−2i2i0022-2-22-22-2-22-22-22-220000000000−2i−2i2i2i00002i−2i2i−2i−2i2i−2i2i0000000000002i−2i000000002-2000000-220000000000
χ4822-2-22-22-200000000−2i2i0022-2-22-22-2-22-22-22-220000000000−2i−2i2i2i0000−2i2i−2i2i2i−2i2i−2i0000000000002i−2i00000000-220000002-20000000000
χ4922-2-2-22-222i2i−2i−2i0000000022-2-2-22-222-2-222-2-220000002i2i−2i−2i00002i2i−2i−2i2-2-222-2-22000000000000000000002i−2i0000002i−2i000000000000
χ5022-2-2-22-222i2i−2i−2i0000000022-2-2-22-222-2-222-2-220000002i2i−2i−2i00002i2i−2i−2i-222-2-222-200000000000000000000−2i2i000000−2i2i000000000000
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χ5222-2-2-22-222i2i−2i−2i0000000022-2-2-22-22-222-2-222-20000002i2i−2i−2i0000−2i−2i2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000002-2000000-22000000000000
χ5322-2-2-22-22−2i−2i2i2i0000000022-2-2-22-222-2-222-2-22000000−2i−2i2i2i0000−2i−2i2i2i2-2-222-2-2200000000000000000000−2i2i000000−2i2i000000000000
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χ5522-2-2-22-22−2i−2i2i2i0000000022-2-2-22-22-222-2-222-2000000−2i−2i2i2i00002i2i−2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000002-2000000-22000000000000
χ5622-2-2-22-22−2i−2i2i2i0000000022-2-2-22-22-222-2-222-2000000−2i−2i2i2i00002i2i−2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000000000-220000002-2000000000000
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χ9688-8-88-88-800000000−8i8i00-2-222-22-220000000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ9788-8-8-88-888i8i−8i−8i00000000-2-2222-22-200000000000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ9888-8-8-88-88−8i−8i8i8i00000000-2-2222-22-2000000000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ998-88-88-8-88000000000000-22-22-222-200000000002i5−2i5−2i52i500000000000000000000000000000000000000000000000000000000000000
χ1008-88-88-8-88000000000000-22-22-222-20000000000−2i52i52i5−2i500000000000000000000000000000000000000000000000000000000000000
χ1018-8-8888-8-88i−8i−8i8i00000000-222-2-2-22200000000000000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1028-8-8888-8-8−8i8i8i−8i00000000-222-2-2-222000000000000002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1038-8-88-8-888000000000000-222-222-2-200000000000000000025−25−2525000000000000000000000000000000000000000000000000000000
χ1048-8-88-8-888000000000000-222-222-2-2000000000000000000−252525−25000000000000000000000000000000000000000000000000000000

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