Finite Group Databasebeta

← Group #14411816

Character table — Group #14411816

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222224444444444444444444444444444444444444445555888888888888888888888888888888888888101010101010101010101010101010102020202020202020202020202020203030303030303030606060606060606060606060
order1222222222344666666622456666666610101010101010121212121515303030303030303030303030303044441010101010101010202020203030303030303030303030303030303060606060606060602244444412121212121212122446666121212121212121288888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiii−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii
χ511111111-1-111111-1-1-1-11-1-1-111111-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111-1-1-1111-1-1-1
χ611111111-1-111111-1-1-1-11-1-1-111111-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1111-1-1-1111
χ711111111-1-111111-1-1-1-11-1-1-111111-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-11111ii−i−i−i−iiiiii−i−i−i−i−i−iiii
χ811111111-1-111111-1-1-1-11-1-1-111111-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-11111−i−iiiii−i−i−i−i−iiiiiii−i−i−i
χ9111111-1-1111-1-111111111-1-1111-1-111-1-11111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-1-1-111-1-111-1-1111111111-1-11-1-11-1-11-1-1
χ10111111-1-1111-1-111111111-1-1111-1-111-1-11111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-111-111-111
χ11111111-1-1111-1-111111111-1-1111-1-111-1-11111111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-111iiii−i−i−i−ii−i−ii−i−i−iii−iii
χ12111111-1-1111-1-111111111-1-1111-1-111-1-11111111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-111−i−i−i−iiiii−iii−iiii−i−ii−i−i
χ13111111-1-1-1-11-1-111-1-1-1-11-111111-1-1-1-11111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1-11111-1-1-1-11111-1-111-1-11-1-1-1111-1-1-111
χ14111111-1-1-1-11-1-111-1-1-1-11-111111-1-1-1-11111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1-11111-1-1-1-111-1-111-1-111-1111-1-1-1111-1-1
χ15111111-1-1-1-11-1-111-1-1-1-11-111111-1-1-1-11111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-11-111-1-1-1-11111-1-1ii−i−i−i−iiii−i−i−iii−iiii−i−i
χ16111111-1-1-1-11-1-111-1-1-1-11-111111-1-1-1-11111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-11-111-1-1-1-11111-1-1−i−iiiii−i−i−iiii−i−ii−i−i−iii
χ171111-1-111111-1-11111111-11-11-1-111-1-1111111111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-111-1-11111111111-11-1-11-1-11-1-11-1
χ181111-1-111111-1-11111111-11-11-1-111-1-1111111111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-111-111-11
χ191111-1-111111-1-11111111-11-11-1-111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-111-1-1iiii−i−i−i−i−ii−i−ii−ii−iii−ii
χ201111-1-111111-1-11111111-11-11-1-111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-111-1-1−i−i−i−iiiiii−iii−ii−ii−i−ii−i
χ211111-1-111-1-11-1-111-1-1-1-111-111-1-11111-1-111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-111-1-111-1-1-11-11-11-11-11-11
χ221111-1-111-1-11-1-111-1-1-1-111-111-1-11111-1-111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1111-11-11-11-11-11-1
χ231111-1-111-1-11-1-111-1-1-1-111-111-1-11111-1-111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1111-1-111-1-1-1-111ii−i−i−i−iii−ii−ii−iii−ii−ii−i
χ241111-1-111-1-11-1-111-1-1-1-111-111-1-11111-1-111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1111-1-111-1-1-1-111−i−iiiii−i−ii−ii−ii−i−ii−ii−ii
χ251111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-11-1-11-1-11
χ261111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-111-1
χ271111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111iiii−i−i−i−i−i−ii−i−iiii−iii−i
χ281111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111−i−i−i−iiiiiii−iii−i−i−ii−i−ii
χ291111-1-1-1-1-1-111111-1-1-1-1111-11-1-1-1-1111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-1111-1
χ301111-1-1-1-1-1-111111-1-1-1-1111-11-1-1-1-1111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1111-1-1-11
χ311111-1-1-1-1-1-111111-1-1-1-1111-11-1-1-1-1111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1111111-1-1-1-1ii−i−i−i−iii−i−iiii−iii−i−i−ii
χ321111-1-1-1-1-1-111111-1-1-1-1111-11-1-1-1-1111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i−ii−i−iiii−i
χ332222222222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ342222222222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-211111111111100000000000000000000
χ3522222222-2-2-122-1-11111-1-2-2-22-1-1-1-1111122-2-2-2-22-1-111-1-1-1-1-1-111111111-1-122222222-2-2-2-222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-11111222222-2-2-1-1-1-11111-2-2-2-1-111-1-1-1-1111100000000000000000000
χ3622222222-2-2-122-1-11111-1-2-2-22-1-1-1-1111122-2-2-2-22-1-111-1-1-1-1-1-111111111-1-1-2-2-2-22222-2-2-2-222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-11111-2-2-2-2-2-2221111-1-1-1-122211-1-11111-1-1-1-100000000000000000000
χ37222222-2-222-1-2-2-1-1-1-1-1-1-12-2-22-1-111-1-11122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-222-2-2-2-2-2-2-1-1-1-11111-1-1-1-1111111111111-2-222-2-222-1-1-1-1-1-1-1-1-22-21111-1-111-1-11100000000000000000000
χ38222222-2-222-1-2-2-1-1-1-1-1-1-12-2-22-1-111-1-11122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-222-2-2-2-2-2-2-1-1-1-11111-1-1-1-111111111111122-2-222-2-2111111112-22-1-1-1-111-1-111-1-100000000000000000000
χ39222222-2-2-2-2-1-2-2-1-11111-1-2222-1-11111-1-122-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-1222222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-1-2-222-2-2-2-2-1-1-1-111112-2211-1-1-1-11111-1-100000000000000000000
χ40222222-2-2-2-2-1-2-2-1-11111-1-2222-1-11111-1-122-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-1-2-2-2-222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-122-2-222221111-1-1-1-1-22-2-1-11111-1-1-1-11100000000000000000000
χ412222-2-22222-1-2-2-1-1-1-1-1-1-1-22-2211-1-111-1-122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-222-2-222-2-2-2-21111-1-1-1-11111-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-1-2-22111111-1-111-1-100000000000000000000
χ422222-2-22222-1-2-2-1-1-1-1-1-1-1-22-2211-1-111-1-122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-222-2-2-2-21111-1-1-1-11111-1-1-1-1111111112222-2-2-2-21111111122-2-1-1-1-1-1-111-1-11100000000000000000000
χ432222-2-222-2-2-1-2-2-1-11111-12-22211-1-1-1-11122-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-12222-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-222-2-2-1-1-1-1111122-211-1-111-1-1-1-11100000000000000000000
χ442222-2-222-2-2-1-2-2-1-11111-12-22211-1-1-1-11122-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-1-2-2-2-2-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-12222-2-2221111-1-1-1-1-2-22-1-111-1-11111-1-100000000000000000000
χ452222-2-2-2-222-122-1-1-1-1-1-1-1-2-222111111112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-12-2-2-1-1-1-11111111100000000000000000000
χ462222-2-2-2-222-122-1-1-1-1-1-1-1-2-222111111112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-22222-2-211111111-2221111-1-1-1-1-1-1-1-100000000000000000000
χ472222-2-2-2-2-2-2-122-1-11111-122-221111-1-1-1-122-2-2-2-22-1-111-1-1-1-1-1-111111111-1-12222-2-2-2-2222222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111122-2-2-2-2-2-2-1-1-1-11111-222-1-1111111-1-1-1-100000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.