Finite Group Databasebeta

← Group #14411818

Character table — Group #14411818

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222224444444444444444444444444444444444444445555888888888888888888888888888888888888101010101010101010101010101010102020202020202020202020202020203030303030303030606060606060606060606060
order1222222234444666121212122445666666101010121212121212151520202020303030303030606060606060606044441010101010102020202020203030303030303030303030306060606060606060606060602222444466661212121222466666612121212121288888888888888888888
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
χ511111111111-1-1111-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-1-1-11111-1-111-1-111-1-1111-1-1-1111-1-1-1
χ611111111111-1-1111-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1111-1-1-1111
χ711111111111-1-1111-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-111ii−i−i−i−iiiiii−i−i−i−i−i−iiii
χ811111111111-1-1111-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-111−i−iiiii−i−i−i−i−iiiiiii−i−i−i
χ9111111-1-11-1-1111111111-11-1111-1-1-1-1111-1-111-1-111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111111-1-1-1-111-1-111-1-1-1-1111111111-1-11-1-11-1-11-1-1
χ10111111-1-11-1-1111111111-11-1111-1-1-1-1111-1-111-1-111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-111
χ11111111-1-11-1-1111111111-11-1111-1-1-1-1111-1-111-1-111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-11111iiii−i−i−i−ii−i−ii−i−i−iii−iii
χ12111111-1-11-1-1111111111-11-1111-1-1-1-1111-1-111-1-111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-11111−i−i−i−iiiii−iii−iiii−i−ii−i−i
χ13111111-1-11-1-1-1-1111-1-1-1-11-11111-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-11111-1-111-1-11-1-1-1111-1-1-111
χ14111111-1-11-1-1-1-1111-1-1-1-11-11111-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-111-1-111-1-111-1111-1-1-1111-1-1
χ15111111-1-11-1-1-1-1111-1-1-1-11-11111-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-11111-1-1-1-111-1-1ii−i−i−i−iiii−i−i−iii−iiii−i−i
χ16111111-1-11-1-1-1-1111-1-1-1-11-11111-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-11111-1-1-1-111-1-1−i−iiiii−i−i−iiii−i−ii−i−i−iii
χ171111-1-1111-1-1111111111-1-111-1-111-1-1111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-11-1-1-1-1-111-1-111-1-111111111-11-1-11-1-11-1-11-1
χ181111-1-1111-1-1111111111-1-111-1-111-1-1111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-111-111-11
χ191111-1-1111-1-1111111111-1-111-1-111-1-1111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-111iiii−i−i−i−i−ii−i−ii−ii−iii−ii
χ201111-1-1111-1-1111111111-1-111-1-111-1-1111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-111−i−i−i−iiiiii−iii−ii−ii−i−ii−i
χ211111-1-1111-1-1-1-1111-1-1-1-111-11-1-11111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-111-1-1-1-1111111-1-111-1-1-11-11-11-11-11-11
χ221111-1-1111-1-1-1-1111-1-1-1-111-11-1-11111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-111-1-1-1-11111-1-111-1-1111-11-11-11-11-11-1
χ231111-1-1111-1-1-1-1111-1-1-1-111-11-1-11111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-111-1-11111-1-1-1-1ii−i−i−i−iii−ii−ii−iii−ii−ii−i
χ241111-1-1111-1-1-1-1111-1-1-1-111-11-1-11111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-111-1-11111-1-1-1-1−i−iiiii−i−ii−ii−ii−i−ii−ii−ii
χ251111-1-1-1-11111111111111-1-11-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111-1-1-1-1-1-1-1-11111111111-1-11-1-11-1-11-1-11
χ261111-1-1-1-11111111111111-1-11-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111-111-1
χ271111-1-1-1-11111111111111-1-11-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111111111-1-1iiii−i−i−i−i−i−ii−i−iiii−iii−i
χ281111-1-1-1-11111111111111-1-11-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111111111-1-1−i−i−i−iiiiiii−iii−i−i−ii−i−ii
χ291111-1-1-1-1111-1-1111-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1111111-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-1111-1
χ301111-1-1-1-1111-1-1111-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1111-1-1-11
χ311111-1-1-1-1111-1-1111-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-11-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiii−iii−i−i−ii
χ321111-1-1-1-1111-1-1111-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-11-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−ii−i−iiii−i
χ3322222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ3422222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-211111111111100000000000000000000
χ3522222222-122-2-2-1-1-11111-2-2-22-1-1-1-111222-1-11111-1-1-2-2-2-2-1-1-1-1-1-11111111122222222-2-222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-11111111122-2-222221111-1-1-1-1-2-2-2-1-11111-1-1-1-11100000000000000000000
χ3622222222-122-2-2-1-1-11111-2-2-22-1-1-1-111222-1-11111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-22222-2-222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111-2-222-2-2-2-2-1-1-1-1111122211-1-1-1-11111-1-100000000000000000000
χ37222222-2-2-1-2-222-1-1-1-1-1-1-1-22-22-1-1111122211-1-111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-222-2-2-1-1-1-1111111111111-1-1-1-11111-2-22222-2-2-1-1-1-1-1-1-1-12-2-211-1-111-1-1111100000000000000000000
χ38222222-2-2-1-2-222-1-1-1-1-1-1-1-22-22-1-1111122211-1-111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-222-2-2-1-1-1-1111111111111-1-1-1-1111122-2-2-2-22211111111-222-1-111-1-111-1-1-1-100000000000000000000
χ39222222-2-2-1-2-2-2-2-1-1-111112-222-1-111-1-12221111-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111222222-2-222-2-2-2-222-1-1-1-11111-1-1-1-111111111-1-1-1-1-2-2-2-222-2-21111-1-1-1-1-2221111-1-1-1-111-1-100000000000000000000
χ40222222-2-2-1-2-2-2-2-1-1-111112-222-1-111-1-12221111-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-222-2-222-2-2-2-222-1-1-1-11111-1-1-1-111111111-1-1-1-12222-2-222-1-1-1-111112-2-2-1-1-1-11111-1-11100000000000000000000
χ412222-2-222-1-2-222-1-1-1-1-1-1-1-2-22211-1-1112221111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-222-2-2-2-2-2-2221111-1-1-1-1111111111111-1-1-1-1-2-222-2-222-1-1-1-1-1-1-1-1-22-21111-1-111-1-11100000000000000000000
χ422222-2-222-1-2-222-1-1-1-1-1-1-1-2-22211-1-1112221111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-2-2-2-2221111-1-1-1-1111111111111-1-1-1-122-2-222-2-2111111112-22-1-1-1-111-1-111-1-100000000000000000000
χ432222-2-222-1-2-2-2-2-1-1-1111122-2211-1-1-1-122211-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-22222-2-222-2-21111-1-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2-2-2221111-1-1-1-12-2211-1-11111-1-1-1-100000000000000000000
χ442222-2-222-1-2-2-2-2-1-1-1111122-2211-1-1-1-122211-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-222-2-21111-1-1-1-1-1-1-1-11111-1-1-1-11111222222-2-2-1-1-1-11111-22-2-1-111-1-1-1-1111100000000000000000000
χ452222-2-2-2-2-12222-1-1-1-1-1-1-12-2-221111-1-1222-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1-2-22-1-111111111-1-100000000000000000000
χ462222-2-2-2-2-12222-1-1-1-1-1-1-12-2-221111-1-1222-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-222221111111122-211-1-1-1-1-1-1-1-11100000000000000000000
χ472222-2-2-2-2-122-2-2-1-1-11111-2222111111222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-2-2-2-2-2222222111111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-21111-1-1-1-122-2-1-1-1-1-1-111111100000000000000000000
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χ13988-8-800008008i−8i8-8-88i8i−8i−8i000-2000000-222000000-2-2−2i−2i2i2i-2-22222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1498-88-80000-400004-44−434343−43000-20000002-220000001−i151+i15−2i52i52i5−2i5−1+i15−1−i151−i151+i15−1+i15−1−i15−2ζ14+2ζ22−2ζ86+2ζ118−2ζ38+2ζ46−2ζ62+2ζ942ζ14−2ζ22+2ζ86−2ζ1182ζ38−2ζ46+2ζ62−2ζ942ζ14−2ζ22+2ζ86−2ζ1182ζ38−2ζ46+2ζ62−2ζ94−2ζ14+2ζ22−2ζ86+2ζ118−2ζ38+2ζ46−2ζ62+2ζ940000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-88-80000-400004-44−434343−43000-20000002-220000001+i151−i152i5−2i5−2i52i5−1−i15−1+i151+i151−i15−1−i15−1+i15−2ζ38+2ζ46−2ζ62+2ζ94−2ζ14+2ζ22−2ζ86+2ζ1182ζ38−2ζ46+2ζ62−2ζ942ζ14−2ζ22+2ζ86−2ζ1182ζ38−2ζ46+2ζ62−2ζ942ζ14−2ζ22+2ζ86−2ζ118−2ζ38+2ζ46−2ζ62+2ζ94−2ζ14+2ζ22−2ζ86+2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.