Finite Group Databasebeta

← Group #14295588

Character table — Group #14295588

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1244451015151244451015151244451015151244451015152488810203030248881020303024888102030302488810203030248881020303024888102030304816161620406060481616162040606048161616204060604816161620406060
order13515152644261030302644412206060412444122060604124426103030264441220606041244412206060412444122060604124441220606041244412206060412442610303026444122060604124482440120120824888244012012082488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ311111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i
χ411111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100
χ744-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000
χ84-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000
χ94-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000
χ10111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ1211111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii
χ1311111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i
χ142-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100-21-211-2100
χ152-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-100-21-2112-100
χ1644-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-41110000-4-41110000
χ174-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000
χ184-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000
χ19111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ201111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ2111111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii
χ2211111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i
χ232-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100
χ242-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100
χ2544-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-41110000-4-4111000044-1-1-1000044-1-1-10000-4-41110000-4-41110000
χ264-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000
χ274-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000
χ28111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ291111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1
χ3011111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i
χ3111111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii
χ322-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100-21-211-2100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-100
χ332-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-21002-12-1-1-2100
χ3444-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-41110000-4-41110000-4-41110000-4-4111000044-1-1-1000044-1-1-10000
χ354-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000
χ364-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000
χ37111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111iiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1iiiiiiiii−i−i−i−i−i−i−i−i−i
χ381111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1iiiiiii−i−iiiiiiii−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−iii1111111-1-1-1-1-1-1-1-1-111iiiiiii−i−i−i−i−i−i−i−i−iii
χ3911111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−iiiiii−i−i-11iiiii−i−i-11−i−i−i−i−iii1-1−i−i−i−i−iii1-111111-1-1i−i-1-1-1-1-111−iiiiiii−i−i-11−i−i−i−i−iii1-1
χ4011111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−iiiiiii−i−i1-1iiiii−i−i1-1−i−i−i−i−iii-11−i−i−i−i−iii-1111111-1-1−ii-1-1-1-1-111i−iiiiii−i−i1-1−i−i−i−i−iii-11
χ412-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-1002i−i2i−i−i2i−i002i−i2i−i−i2i−i00−2ii−2iii−2ii00−2ii−2iii−2ii002-12-1-12-100-21-211-21002i−i2i−i−i2i−i00−2ii−2iii−2ii00
χ422-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-21002i−i2i−i−i−2ii002i−i2i−i−i−2ii00−2ii−2iii2i−i00−2ii−2iii2i−i002-12-1-1-2100-21-2112-1002i−i2i−i−i−2ii00−2ii−2iii2i−i00
χ4344-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-4111000044-1-1-100004i4i−i−i−i00004i4i−i−i−i0000−4i−4iiii0000−4i−4iiii000044-1-1-10000-4-411100004i4i−i−i−i0000−4i−4iiii0000
χ444-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ4700004-2-11−i1521+i1520000-421−1+i152−1−i15200004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000
χ454-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ5900004-2-11+i1521−i1520000-421−1−i152−1+i15200004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000
χ46111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111iiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1111111111−i−i−i−i−i−i−i−i−iiiiiiiiii
χ471111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1iiiiiii−i−iiiiiiii−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−iii-1-1-1-1-1-1-1111111111-1-1−i−i−i−i−i−i−iiiiiiiiii−i−i
χ4811111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−iiiiii−i−i-11iiiii−i−i-11−i−i−i−i−iii1-1−i−i−i−i−iii1-1-1-1-1-1-111−ii11111-1-1i−i−i−i−i−i−iii1-1iiiii−i−i-11
χ4911111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−iiiiiii−i−i1-1iiiii−i−i1-1−i−i−i−i−iii-11−i−i−i−i−iii-11-1-1-1-1-111i−i11111-1-1−ii−i−i−i−i−iii-11iiiii−i−i1-1
χ502-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-1002i−i2i−i−i2i−i002i−i2i−i−i2i−i00−2ii−2iii−2ii00−2ii−2iii−2ii00-21-211-21002-12-1-12-100−2ii−2iii−2ii002i−i2i−i−i2i−i00
χ512-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-21002i−i2i−i−i−2ii002i−i2i−i−i−2ii00−2ii−2iii2i−i00−2ii−2iii2i−i00-21-2112-1002-12-1-1-2100−2ii−2iii2i−i002i−i2i−i−i−2ii00
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.