Finite Group Databasebeta

← Group #13021973

Character table — Group #13021973

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444555555551010101010101010101010101010101010101010101010101010101040404040404040404040404040404040
order12222222444444444444888888888888888851010101010101020202020202020202020202020202020202020202020202040404040404040404040404040404040404040404040404040404040404040404444444422224444444488888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii
χ121111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ17111-1-11-1-11-1iiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i111-1-11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i1-1i−i1-1i−i
χ18111-1-11-1-11-1iiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i111-1-11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii-11−ii-11−ii
χ19111-1-11-1-11-1iiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i111-1-11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiii−i-11i−i-11−ii1-1−ii1-1
χ20111-1-11-1-11-1iiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i111-1-11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii−ii1-1−ii1-1i−i-11i−i-11
χ21111-1-11-1-11-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii111-1-11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii1-1i−i-11−ii
χ22111-1-11-1-11-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii111-1-11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i-11−ii1-1i−i
χ23111-1-11-1-11-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii111-1-11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−ii−i-11−ii1-1−ii1-1i−i-11
χ24111-1-11-1-11-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii111-1-11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−ii1-1i−i-11i−i-11−ii1-1
χ25111-1-11-1-11-1−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii111-1-11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii1-1−ii1-1−ii
χ26111-1-11-1-11-1−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii111-1-11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-11i−i-11i−i
χ27111-1-11-1-11-1−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii111-1-11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−ii−i1-1i−i1-1−ii-11−ii-11
χ28111-1-11-1-11-1−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii111-1-11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−ii-11−ii-11i−i1-1i−i1-1
χ29111-1-11-1-11-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i111-1-11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i1-1−ii-11i−i
χ30111-1-11-1-11-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i111-1-11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii-11i−i1-1−ii
χ31111-1-11-1-11-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i111-1-11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiii−i1-1−ii-11−ii-11i−i1-1
χ32111-1-11-1-11-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i111-1-11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−ii-11i−i1-1i−i1-1−ii-11
χ3322222222-2-222-2-222-2-2-2-2000000000000000022222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000022222222-2-2-2-222-2-222-2-200000000000000000000000000000000
χ3422222222-2-222-2-222-2-2-2-2000000000000000022222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-22222-2-222-2-22200000000000000000000000000000000
χ3522222222-2-2-2-222-2-222-2-2000000000000000022222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000022222222-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ3622222222-2-2-2-222-2-222-2-2000000000000000022222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2222222-2-222-2-200000000000000000000000000000000
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χ38222-2-22-2-2-222i2i−2i−2i−2i−2i2i2i-220000000000000000222-2-22-2-2-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-22200000000000000000000000000000000-2-2-2-2222222-2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ39222-2-22-2-2-22−2i−2i2i2i2i2i−2i−2i-220000000000000000222-2-22-2-2-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-222000000000000000000000000000000002222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
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χ4422-22-2-22-200002i−2i002i−2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−22222-22-2-22-2000000002i2i−2i−2i00002i2i−2i−2i0000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−2−2−2−22222−2−2−2−22222−2i−2i2i2i−2i−2i2i2i000000-2200-2222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ4522-22-2-22-20000−2i2i00−2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−22222-22-2-22-200000000−2i−2i2i2i0000−2i−2i2i2i0000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2−2−2−22222−2−2−2−222222i2i−2i−2i2i2i−2i−2i000000-2200-2222−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4622-22-2-22-20000−2i2i00−2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−22222-22-2-22-200000000−2i−2i2i2i0000−2i−2i2i2i0000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2−2−2−22222−2−2−2−22222−2i−2i2i2i−2i−2i2i2i0000002-2002-2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.