Finite Group Databasebeta

← Group #13022230

Character table — Group #13022230

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12222222444444445888810101010101010222222224420202020404040404040404044444444444420202020202020204444444444444444888888888888444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1iiii−i−i−i−i-111111111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1−i−i−i−iiiii-111111111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ511111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ711111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-11111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−i−i−iiiii11−i−iii
χ811111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-11111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111iiii−i−i−i−i11ii−i−i
χ9111111111111-1-1-1-111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ10111111111111-1-1-1-111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i11−i−iii
χ12111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i-1-1-1-1−i−i−i−iiiii11ii−i−i
χ13111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ14111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1
χ15111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-111111111ii−i−i−i−i−i−iiiii1111−i−i−i−iiiii-1-1ii−i−i
χ16111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-111111111−i−iiiiiii−i−i−i−i1111iiii−i−i−i−i-1-1−i−iii
χ17111-1-1-11-11-1-11ii−i−i111-1-111-1-1-11-111-1-111-1-1i−i1-1-111111-1-1-1-11-1-111-1-111-1-11ii−i−iii−i−iii−i−i1-11-1ii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−i
χ18111-1-1-11-11-1-11ii−i−i111-1-111-1-1-11-111-1-111-1-1i−i1-1-111111-1-1-1-11-1-1-1-111-1-1111ii−i−iii−i−iii−i−i-11-11−i−iii−i−iii11-1-1-1-111-1-111i−i−ii−ii
χ19111-1-1-11-11-1-11ii−i−i111-1-111-1-1-11-1-1-111-1-111i−i1-1-111111-1-1-1-1-111ii−i−i−i−iii-1ii−i−iii−i−i−i−iiii−i−ii-1-11111-1-1-1-111ii−i−i−i−iii−ii-111-1
χ20111-1-1-11-11-1-11ii−i−i111-1-111-1-1-11-1-1-111-1-111i−i1-1-111111-1-1-1-1-111−i−iiiii−i−i-1ii−i−iii−i−i−i−iii−iii−i11-1-1-1-111-1-111−i−iiiii−i−i−ii1-1-11
χ21111-1-1-11-11-1-11ii−i−i1-1-11111-1-1-11-111-1-111-1-1−ii1-1-11-1-1-1-111111-1-111-1-111-1-11ii−i−i−i−iiiii−i−i1-11-1ii−i−iii−i−i-1-111-1-111-1-111−ii−ii−ii
χ22111-1-1-11-11-1-11ii−i−i1-1-11111-1-1-11-111-1-111-1-1−ii1-1-11-1-1-1-111111-1-1-1-111-1-1111ii−i−i−i−iiiii−i−i-11-11−i−iii−i−iii-1-11111-1-111-1-1−iii−ii−i
χ23111-1-1-11-11-1-11ii−i−i1-1-11111-1-1-11-1-1-111-1-111−ii1-1-11-1-1-1-11111-111ii−i−i−i−iii-1ii−i−i−i−iii−i−iiii−i−ii-1-11111-1-111-1-1−i−iiiii−i−ii−i1-1-11
χ24111-1-1-11-11-1-11ii−i−i1-1-11111-1-1-11-1-1-111-1-111−ii1-1-11-1-1-1-11111-111−i−iiiii−i−i-1ii−i−i−i−iii−i−iii−iii−i11-1-1-1-11111-1-1ii−i−i−i−iiii−i-111-1
χ25111-1-1-11-11-1-11−i−iii111-1-111-1-1-11-111-1-111-1-1−ii1-1-111111-1-1-1-11-1-111-1-111-1-11−i−iii−i−iii−i−iii1-11-1−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii
χ26111-1-1-11-11-1-11−i−iii111-1-111-1-1-11-111-1-111-1-1−ii1-1-111111-1-1-1-11-1-1-1-111-1-1111−i−iii−i−iii−i−iii-11-11ii−i−iii−i−i11-1-1-1-111-1-111−iii−ii−i
χ27111-1-1-11-11-1-11−i−iii111-1-111-1-1-11-1-1-111-1-111−ii1-1-111111-1-1-1-1-111ii−i−i−i−iii-1−i−iii−i−iiiii−i−ii−i−ii11-1-1-1-111-1-111ii−i−i−i−iiii−i1-1-11
χ28111-1-1-11-11-1-11−i−iii111-1-111-1-1-11-1-1-111-1-111−ii1-1-111111-1-1-1-1-111−i−iiiii−i−i-1−i−iii−i−iiiii−i−i−iii−i-1-11111-1-1-1-111−i−iiiii−i−ii−i-111-1
χ29111-1-1-11-11-1-11−i−iii1-1-11111-1-1-11-111-1-111-1-1i−i1-1-11-1-1-1-111111-1-111-1-111-1-11−i−iiiii−i−i−i−iii1-11-1−i−iii−i−iii-1-111-1-111-1-111i−ii−ii−i
χ30111-1-1-11-11-1-11−i−iii1-1-11111-1-1-11-111-1-111-1-1i−i1-1-11-1-1-1-111111-1-1-1-111-1-1111−i−iiiii−i−i−i−iii-11-11ii−i−iii−i−i-1-11111-1-111-1-1i−i−ii−ii
χ31111-1-1-11-11-1-11−i−iii1-1-11111-1-1-11-1-1-111-1-111i−i1-1-11-1-1-1-11111-111ii−i−i−i−iii-1−i−iiiii−i−iii−i−ii−i−ii11-1-1-1-11111-1-1−i−iiiii−i−i−ii-111-1
χ32111-1-1-11-11-1-11−i−iii1-1-11111-1-1-11-1-1-111-1-111i−i1-1-11-1-1-1-11111-111−i−iiiii−i−i-1−i−iiiii−i−iii−i−i−iii−i-1-11111-1-111-1-1ii−i−i−i−iii−ii1-1-11
χ3322222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-222222222-2000000000000-2-2-2-200000000000000000000000000
χ3422222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000222200000000000000000000000000
χ3522222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-2000000002222i2i2i2i−2i−2i−2i−2i2000000000000−2i−2i2i2i00000000000000000000000000
χ3622222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-200000000222−2i−2i−2i−2i2i2i2i2i20000000000002i2i−2i−2i00000000000000000000000000
χ37222-2-2-22-2-222-200002000022-2-2-22-222-2-222-2-200-222-200000000-22222-2-222-2-2-2000000000000-22-2200000000000000000000000000
χ38222-2-2-22-2-222-200002000022-2-2-22-222-2-222-2-200-222-200000000-222-2-222-2-222-20000000000002-22-200000000000000000000000000
χ39222-2-2-22-2-222-200002000022-2-2-22-2-2-222-2-22200-222-2000000002-2-22i2i−2i−2i−2i−2i2i2i2000000000000−2i2i2i−2i00000000000000000000000000
χ40222-2-2-22-2-222-200002000022-2-2-22-2-2-222-2-22200-222-2000000002-2-2−2i−2i2i2i2i2i−2i−2i20000000000002i−2i−2i2i00000000000000000000000000
χ4122-222-2-2-20000000022−22−22-222-2-2-22-2222-2-2-200000022−2−222−2−20002-22-22-22-200000000000000000000000002−22−22−22−22−22−2000000
χ4222-222-2-2-20000000022−22−22-222-2-2-22-2222-2-2-200000022−2−222−2−2000-22-22-22-2200000000000000000000000002−22−2−22−22−22−22000000
χ4322-222-2-2-20000000022−22−22-222-2-2-2-22-2-2-222200000022−2−222−2−20002i−2i2i−2i−2i2i−2i2i0000000000000000000000000−22−22i2−i2i2−i2−i2i2−i2i2000000
χ4422-222-2-2-20000000022−22−22-222-2-2-2-22-2-2-222200000022−2−222−2−2000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000−22−22−i2i2−i2i2i2−i2i2−i2000000
χ4522-222-2-2-2000000002−22−222-222-2-2-22-2222-2-2-2000000−2−222−2−2220002-22-22-22-20000000000000000000000000−22−22−22−22−22−22000000
χ4622-222-2-2-2000000002−22−222-222-2-2-22-2222-2-2-2000000−2−222−2−222000-22-22-22-220000000000000000000000000−22−222−22−22−22−2000000
χ4722-222-2-2-2000000002−22−222-222-2-2-2-22-2-2-2222000000−2−222−2−2220002i−2i2i−2i−2i2i−2i2i00000000000000000000000002−22−2−i2i2−i2i2i2−i2i2−i2000000
χ4822-222-2-2-2000000002−22−222-222-2-2-2-22-2-2-2222000000−2−222−2−222000−2i2i−2i2i2i−2i2i−2i00000000000000000000000002−22−2i2−i2i2−i2−i2i2−i2i2000000
χ4922-2-2-22-220000000022−2−222-2-2-22-222-2-2-22-22200000022−2−2−2−2220002-2-222-2-2200000000000000000000000002−2−222−2−222−2−22000000
χ5022-2-2-22-220000000022−2−222-2-2-22-222-2-2-22-22200000022−2−2−2−222000-222-2-222-200000000000000000000000002−2−22−222−2−222−2000000
χ5122-2-2-22-220000000022−2−222-2-2-22-22-2222-22-2-200000022−2−2−2−2220002i−2i−2i2i−2i2i2i−2i0000000000000000000000000−222−2i2−i2−i2i2−i2i2i2−i2000000
χ5222-2-2-22-220000000022−2−222-2-2-22-22-2222-22-2-200000022−2−2−2−222000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000−222−2−i2i2i2−i2i2−i2−i2i2000000
χ5322-2-2-22-22000000002−222−22-2-2-22-222-2-2-22-222000000−2−22222−2−20002-2-222-2-220000000000000000000000000−222−2−222−2−222−2000000
χ5422-2-2-22-22000000002−222−22-2-2-22-222-2-2-22-222000000−2−22222−2−2000-222-2-222-20000000000000000000000000−222−22−2−222−2−22000000
χ5522-2-2-22-22000000002−222−22-2-2-22-22-2222-22-2-2000000−2−22222−2−20002i−2i−2i2i−2i2i2i−2i00000000000000000000000002−2−22−i2i2i2−i2i2−i2−i2i2000000
χ5622-2-2-22-22000000002−222−22-2-2-22-22-2222-22-2-2000000−2−22222−2−2000−2i2i2i−2i2i−2i−2i2i00000000000000000000000002−2−22i2−i2−i2i2−i2i2i2−i2000000
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χ582-2-22-222-222-2-2000020000-2-22-222-2222-2-2-22-20022-2-20000000022-200000000-20000000000000000-22-22-22-22000000000000000000
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χ80444-4-4-44-44-4-44−4i−4i4i4i-1-4-444-1-1111-11000000004i−4i-111-11111-1-1-1-1000000000000ii−i−i−i−iii0000000000000000000000000000000000
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χ9888-8-8-88-8800000000-2−424242−42-2222-22-20000000000000022−2−2−2−222000000000000000000000000000000000000000000000000000000
χ998-888-8-8-8800000000-200002-2-2222-20000000000000010−10−101010−10−1010000000000000000000000000000000000000000000000000000000
χ1008-888-8-8-8800000000-200002-2-2222-200000000000000−101010−10−101010−10000000000000000000000000000000000000000000000000000000
χ1018-88-888-8-800000000-200002-22-2-2220000000000000010−10−1010−101010−10000000000000000000000000000000000000000000000000000000
χ1028-88-888-8-800000000-200002-22-2-22200000000000000−101010−1010−10−1010000000000000000000000000000000000000000000000000000000
χ1038-8-88-888-888-8-80000-2000022-22-2-220000000000-2-22200000000000000000000000000000000000000000000000000000000000000
χ1048-8-8-88-8888-88-80000-20000222-22-2-20000000000-22-2200000000000000000000000000000000000000000000000000000000000000

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