Finite Group Databasebeta

← Group #12976682

Character table — Group #12976682

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size111122222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444448888888816161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222222244444455888810101010101010101010101010102488888810101010101010102020202020202020202020202020202040404040404040404040404040404040404040404040404040404040404040402244444410101010202020202020202020202020222244444444444424448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111
χ51111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-111111
χ61111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-111-1-1-1-1-1
χ71111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111-1-11-1-1-1-1
χ81111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111
χ9111111-1-111-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1
χ10111111-1-111-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ11111111-1-111-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
χ12111111-1-111-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ13111111-1-111-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-111-1-1
χ14111111-1-111-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-111
χ15111111-1-111-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1-111
χ16111111-1-111-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1111-1-1
χ171111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1111-111-1-111-1-1-1-11-111-1-11-11-1
χ181111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1-1-1-11-1-111-1-11111-11-1-111-11-11
χ191111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-11111-1111-1-1-1-111-1-1-1111-1-1-11-11
χ201111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111-1-11-1-1-11111-1-1111-1-1-1111-11-1
χ211111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-11-1111-1-111-1-1-1-111-1-11111-11-1-111-1-111-1-1-111-11-11-11-1
χ221111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-11-1111-1-111-1-1-1-111-1-111-1-11-111-1-111-1-1111-1-11-11-11-11
χ231111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111-11-1-1-111-1-11111-1-111-1-1111-1-1-11111-1-1-1-11-11-11-1-11-11
χ241111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111-11-1-1-111-1-11111-1-111-1-1-1-1-1111-1-1-1-11111-11-11-111-11-1
χ251111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1111-1-111-1-1-1-1-11-1-1111-1-11
χ261111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-11-1-1-111-1-111111-111-1-1-111-1
χ271111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-11111-1-1-1-11111-1-1111-111-1-1-1-111-1-11-1-1-111-111-1
χ281111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1111-1-11-1-11
χ291111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-1111-1-1-111-1-111-1-11-1-11-111-1-11
χ301111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-111-111-11-1-111-1
χ311111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-11111-11-1-11111-1-1-1-1-11-11-11-111-1
χ321111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-111-1-11-111-1-1-1-111111-11-11-11-1-11
χ3322222222222222−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+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+52−1−52000000000000000000000000
χ3422222222222222−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-21−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ3522222222222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ3622222222222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-222221−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ3722222222222222−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+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+52−1−52−1−52−1+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+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+5222222222−1−52−1+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+52000000000000000000000000
χ3822222222222222−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+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+52−1−52−1−52−1+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+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+52-2-2-2-2-2-2-2-21+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ3922222222222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ4022222222222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-222221+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
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χ4222222222-2-2-2-2-2-2220000222222222222222-200000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000-220000-22-22002-200000000
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χ1414-4-44-44004-400-44−1−5−1+500001+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5−1−5−1+500000000000000001+51−5−1−51+5−1+51−500000000−1−5−1+50000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000
χ1424-4-44-44004-400-44−1−5−1+500001+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5−1−5−1+500000000000000001+51−5−1−51+5−1+51−500000000−1−5−1+500000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000000
χ1434-4-44-4400-44004-4−1+5−1−54i4i−4i−4i1−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+5−1+5−1−500−4i4i000000000000−1+5−1−51−5−1+51+5−1−5000000001−51+5−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000000000000000000000000000
χ1444-4-44-4400-44004-4−1+5−1−5−4i−4i4i4i1−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+5−1+5−1−5004i−4i000000000000−1+5−1−51−5−1+51+5−1−5000000001−51+52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ140000000000000000000000000000000000000000000000000000000000000000
χ1454-4-44-4400-44004-4−1−5−1+54i4i−4i−4i1+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5−1−5−1+500−4i4i000000000000−1−5−1+51+5−1−51−5−1+5000000001+51−5−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000000000000000000000
χ1464-4-44-4400-44004-4−1−5−1+5−4i−4i4i4i1+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5−1−5−1+5004i−4i000000000000−1−5−1+51+5−1−51−5−1+5000000001+51−52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.