Finite Group Databasebeta

← Group #12963597

Character table — Group #12963597

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size111122222222224444444444444444448888888810101010202020202020111122222222224444444444444444448888888810101010202020202020111122222222224444444444444444448888888810101010202020202020111122222222224444444444444444448888888810101010202020202020
order1244245510102020202022448810102020404040404040404010101010202020208888448888224424101010102020202022448810102020404040404040404010101010202020208888448888224424101010102020202022448810102020404040404040404010101010202020208888448888224424101010102020202022448810102020404040404040404010101010202020208888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ4111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ511111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111
χ611111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ711111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ811111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ911-1-1-111111-1-1-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1ii−i−ii−ii−ii−i11-1-1-111111-1-1-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1ii−i−ii−ii−ii−i11-1-1-111111-1-1-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1ii−i−ii−ii−ii−i11-1-1-111111-1-1-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1ii−i−ii−ii−ii−i
χ1011-1-1-111111-1-1-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1−i−iii−ii−ii−ii11-1-1-111111-1-1-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1−i−iii−ii−ii−ii11-1-1-111111-1-1-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1−i−iii−ii−ii−ii11-1-1-111111-1-1-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1−i−iii−ii−ii−ii
χ1111-1-1-111111-1-1-1-11-1-11-11-1-111-1-1-1-1111111-1-1-1-111ii−i−i−iii−i−ii11-1-1-111111-1-1-1-11-1-11-11-1-111-1-1-1-1111111-1-1-1-111ii−i−i−iii−i−ii11-1-1-111111-1-1-1-11-1-11-11-1-111-1-1-1-1111111-1-1-1-111ii−i−i−iii−i−ii11-1-1-111111-1-1-1-11-1-11-11-1-111-1-1-1-1111111-1-1-1-111ii−i−i−iii−i−ii
χ1211-1-1-111111-1-1-1-11-1-11-11-1-111-1-1-1-1111111-1-1-1-111−i−iiii−i−iii−i11-1-1-111111-1-1-1-11-1-11-11-1-111-1-1-1-1111111-1-1-1-111−i−iiii−i−iii−i11-1-1-111111-1-1-1-11-1-11-11-1-111-1-1-1-1111111-1-1-1-111−i−iiii−i−iii−i11-1-1-111111-1-1-1-11-1-11-11-1-111-1-1-1-1111111-1-1-1-111−i−iiii−i−iii−i
χ1311-1-1-111111-1-1-1-1-111-1-11-1-111-1-1-1-11111-1-11111-1-1ii−i−i−ii−iii−i11-1-1-111111-1-1-1-1-111-1-11-1-111-1-1-1-11111-1-11111-1-1ii−i−i−ii−iii−i11-1-1-111111-1-1-1-1-111-1-11-1-111-1-1-1-11111-1-11111-1-1ii−i−i−ii−iii−i11-1-1-111111-1-1-1-1-111-1-11-1-111-1-1-1-11111-1-11111-1-1ii−i−i−ii−iii−i
χ1411-1-1-111111-1-1-1-1-111-1-11-1-111-1-1-1-11111-1-11111-1-1−i−iiii−ii−i−ii11-1-1-111111-1-1-1-1-111-1-11-1-111-1-1-1-11111-1-11111-1-1−i−iiii−ii−i−ii11-1-1-111111-1-1-1-1-111-1-11-1-111-1-1-1-11111-1-11111-1-1−i−iiii−ii−i−ii11-1-1-111111-1-1-1-1-111-1-11-1-111-1-1-1-11111-1-11111-1-1−i−iiii−ii−i−ii
χ1511-1-1-111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−ii−i−ii−ii11-1-1-111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−ii−i−ii−ii11-1-1-111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−ii−i−ii−ii11-1-1-111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−ii−i−ii−ii
χ1611-1-1-111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−iii−ii−i11-1-1-111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−iii−ii−i11-1-1-111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−iii−ii−i11-1-1-111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−iii−ii−i
χ17222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000
χ21222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ22222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ23222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ24222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000
χ252222-2-222222222000000-2-2-2-200000000000000002-22-20000002222-2-222222222000000-2-2-2-200000000000000002-22-20000002222-2-222222222000000-2-2-2-200000000000000002-22-20000002222-2-222222222000000-2-2-2-200000000000000002-22-2000000
χ262222-2-222222222000000-2-2-2-20000000000000000-22-220000002222-2-222222222000000-2-2-2-20000000000000000-22-220000002222-2-222222222000000-2-2-2-20000000000000000-22-220000002222-2-222222222000000-2-2-2-20000000000000000-22-22000000
χ2722-2-22-22222-2-2-2-200000022-2-200000000000000002i−2i−2i2i00000022-2-22-22222-2-2-2-200000022-2-200000000000000002i−2i−2i2i00000022-2-22-22222-2-2-2-200000022-2-200000000000000002i−2i−2i2i00000022-2-22-22222-2-2-2-200000022-2-200000000000000002i−2i−2i2i000000
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χ67222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000-2-2-2-2-2-21−521+521−521+521−521−521+521+52-2-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000-2-2-2-2-2-21−521+521−521+521−521−521+521+52-2-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+520000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.