Finite Group Databasebeta

← Group #12005352

Character table — Group #12005352

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888202020202020202020202020202020204040404040404040
order1222222222224444444455101010101010101010101010101020202020202020202020202020202020444444444444444410101010101010102020202020202020202020202020202020202020202020202020202020202020202020202020202088882020202020202020202020202020202040404040404040404040404040404040444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9111-1-1-1-111-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i
χ10111-1-1-1-111-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111−i−iii
χ11111-1-1-1-111-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−i−iii
χ12111-1-1-1-111-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i
χ13111-1-1-1-111-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-11111-1-111ii−i−i
χ14111-1-1-1-111-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii
χ15111-1-1-1-111-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1−i−iii
χ16111-1-1-1-111-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i
χ171-1111-1-1-1-11-1111-1-11-11-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181-1111-1-1-1-11-1111-1-11-11-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191-1111-1-1-1-11-1111-1-11-11-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201-1111-1-1-1-11-1111-1-11-11-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211-1111-1-1-1-11-1111-1-11-11-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ221-1111-1-1-1-11-1111-1-11-11-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ231-1111-1-1-1-11-1111-1-11-11-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ241-1111-1-1-1-11-1111-1-11-11-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ251-11-1-111-1-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii11-1-1-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i−iii−i1-1-11
χ261-11-1-111-1-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii11-1-1-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiii−i−ii-111-1
χ271-11-1-111-1-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−iii−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−ii−i−ii-111-1
χ281-11-1-111-1-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−iii−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii−iii−i1-1-11
χ291-11-1-111-1-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−i11-1-1-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iiii−i−ii1-1-11
χ301-11-1-111-1-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−i11-1-1-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−iii−i-111-1
χ311-11-1-111-1-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−i-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1i−i−ii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii−iii−i-111-1
χ321-11-1-111-1-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−i-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1i−i−ii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−ii−i−ii1-1-11
χ3322222222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
χ3422222222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521−521−521+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+52-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.