Finite Group Databasebeta

← Group #14480347

Character table — Group #14480347

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11112222222222222244444444444444444444444466666666666688888888888888121212121212121212121212121220202020202020204040606060601111222222222222224444444444444444444444446666666666668888888888888812121212121212121212121212122020202020202020404060606060
order1222223556661010101010104466101010101515202020202020202030303030303022221010101010101010121230303030606060606060606044101010102020202020202020222466666122444222222610106661010101010104466101010103030202020202020202030303030303022221010101010101010121230303030606060606060606044101010102020202020202020222466666122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1
χ6111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11
χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-11-1-11111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-11-1-11
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-111-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-111-1
χ91111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1111111111-1-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-11-11-111-1-11-1-11-111111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1111111111-1-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-11-11-111-1-11-1-11-11
χ101111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1111111111-1-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-1-11-11-1-111-111-11-11111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1111111111-1-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-1-11-11-1-111-111-11-1
χ111111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111111-11-111-1-11-11-11-11111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111111-11-111-1-11-11-11-1
χ121111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-11-11-1-111-11-11-111111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-11-11-1-111-11-11-11
χ131111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-1111111111111-1-111111111-11-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111-1-1111-1-1-1111-1-11111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-1111111111111-1-111111111-11-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111-1-1111-1-1-1111-1-1
χ141111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-1111111111111-1-111111111-11-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-11111-111-1-1-1111-1-1-1111111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-1111111111111-1-111111111-11-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-11111-111-1-1-1111-1-1-111
χ151111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-111111111-1-1-1-11-1-1111-1-1-11-1-1111111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-111111111-1-1-1-11-1-1111-1-1-11-1-111
χ161111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-111111111-1-1-1-1-111-1-1-1111-111-1-11111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-111111111-1-1-1-1-111-1-1-1111-111-1-1
χ172222222−1−52−1+52222−1−52−1+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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000002222222−1−52−1+52222−1−52−1+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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ182222222−1−52−1+52222−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−521+521+521−521−52000000000000002222222−1−52−1+52222−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000002222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000002222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ212222222−1+52−1−52222−1+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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000002222222−1+52−1−52222−1+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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ222222222−1+52−1−52222−1+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+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+52000000000000002222222−1+52−1−52222−1+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+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000002222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000002222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ25222222-122-1-1-122222222-1-12222-1-122222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002222-1-1-1-1-1-10000222222-122-1-1-122222222-1-12222-1-122222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002222-1-1-1-1-1-10000
χ26222222-122-1-1-122222222-1-12222-1-122222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-21111110000222222-122-1-1-122222222-1-12222-1-122222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-21111110000
χ27222222-122-1-1-1222222-2-2-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000011-1-1-1-1111111110000000000000022-2-2-1-1-1-1110000222222-122-1-1-1222222-2-2-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000011-1-1-1-1111111110000000000000022-2-2-1-1-1-1110000
χ28222222-122-1-1-1222222-2-2-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000011-1-1-1-11111111100000000000000-2-2221111-1-10000222222-122-1-1-1222222-2-2-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000011-1-1-1-11111111100000000000000-2-2221111-1-10000
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χ372222-2-2-122-1-1-12222222-211-2-2-2-2-1-12222-2-2-2-2-1-1-1-1-1-1000000000000-111111-1-1-1-11111000000000000002-22-2-1-111-1100002222-2-2-122-1-1-12222222-211-2-2-2-2-1-12222-2-2-2-2-1-1-1-1-1-1000000000000-111111-1-1-1-11111000000000000002-22-2-1-111-110000
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χ402222-2-2-122-1-1-1222222-2211-2-2-2-2-1-1-2-2-2-22222-1-1-1-1-1-10000000000001-111111111-1-1-1-100000000000000-222-211-1-1-1100002222-2-2-122-1-1-1222222-2211-2-2-2-2-1-1-2-2-2-22222-1-1-1-1-1-10000000000001-111111111-1-1-1-100000000000000-222-211-1-1-110000
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χ18988-8-800-4−2−25−2+25-4442+252−25−2−252+25−2+252−25000000001+51−500000000−1−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000-8-8880042+252−254-4-4−2−25−2+252+25−2−252−25−2+2500000000−1−5−1+5000000001+51−5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000
χ19088-8-800-4−2+25−2−25-4442−252+25−2+252−25−2−252+25000000001−51+500000000−1+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000-8-8880042−252+254-4-4−2+25−2−252−25−2+252+25−2−2500000000−1+5−1−5000000001−51+5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000
χ1918-88-800-4−2−25−2+254-442+252−252+25−2−252−25−2+25000000001+51−500000000−1−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000-88-880042+252−25-44-4−2−25−2+25−2−252+25−2+252−2500000000−1−5−1+5000000001+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000
χ1928-88-800-4−2+25−2−254-442−252+252−25−2+252+25−2−25000000001−51+500000000−1+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000-88-880042−252+25-44-4−2+25−2−25−2+252−25−2−252+2500000000−1+5−1−5000000001−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.