Finite Group Databasebeta

← Group #14412188

Character table — Group #14412188

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183
size112222222222222222222222222224444444444444444444444444444444444444444444444444444444444888888888888888888888888121212121212121212121212121212121212121212121212121212121212121212121212121212122020202020202020202020202020202020202020202020206060606060606060
order12222222234444444455610101010101012126666666101010101010101010101010121212121212121515202020202020202020202020202020203030303030306060606060606060303030303030303030303030606060606060606060606060222222441010101010101010101010101010101010101010101010102020202020202020888888882424242424242424242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111-1-1111-1-1-1-1-1-1111111111-1-111111-1-111111111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ61111111-1-1111-1-1-1-1-1-1111111111-1-111111-1-111111111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ71111111-1-1111-1-1-1-1-1-1111111111-1-111111-1-111111111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ81111111-1-1111-1-1-1-1-1-1111111111-1-111111-1-111111111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ911111-1-1111-1-111-1-1-1-1111111111-1-1111-1-1111111-1-1-1-11111-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111-1-1111-1-111-1-1-1-1111111111-1-1111-1-1111111-1-1-1-11111-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111-1-1111-1-111-1-1-1-1111111111-1-1111-1-1111111-1-1-1-11111-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111-1-1111-1-111-1-1-1-1111111111-1-1111-1-1111111-1-1-1-11111-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111-1-1-1-11-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111-1-1-1-11-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111-1-1-1-11-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111-1-1-1-11-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ17111-1-111111-1-1-1-111-1-1111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-11-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ18111-1-111111-1-1-1-111-1-1111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-11-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ19111-1-111111-1-1-1-111-1-1111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ20111-1-111111-1-1-1-111-1-1111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ21111-1-111-1-11-1-111-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-11-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-11-1111-1-111-1-1-1-111-1-1111-11-1-11-11
χ22111-1-111-1-11-1-111-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-11-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-1-1-11-111-11-1
χ23111-1-111-1-11-1-111-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-111-11-1
χ24111-1-111-1-11-1-111-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-111-11-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ25111-1-1-1-111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ26111-1-1-1-111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-111-1-1-11111-1-1-1-11111-1-1-111-1-111-1
χ27111-1-1-1-111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111-111-1-111-1
χ28111-1-1-1-111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ29111-1-1-1-1-1-11111111-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ30111-1-1-1-1-1-11111111-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ31111-1-1-1-1-1-11111111-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ32111-1-1-1-1-1-11111111-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5200000000000000000000000000000000
χ34222222222222222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000
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χ16544-4-44-444-4-24-4-44-444-4−1−5−1+5-21+51+51−51−5−1−5−1+5-2-222-22-2-221+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−5-222-22-221+521−52−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−521+52−1+521−52−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−52−1−521+52−1+521−52000000000000000000000000000000000000000000000000000000000000000000000000
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χ16744-4-44-44-44-24-44-44-4-44−1−5−1+5-21+51+51−51−5−1−5−1+52222-22-22-21+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−5−1+5-22-22-22-21+521−52−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+521+52−1−521−52−1+52000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.