Finite Group Databasebeta

← Group #14514505

Character table — Group #14514505

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size112222222222244446666888810101010121212121212121212121212121212121616161616161616161616161616161616162424242424242424242424242424242430303030606060606060606080808080
order122445510102020202010102020224436121222442244888810101010202020206121515303030303030606060606060606010101010202020204040404040404040224422228888661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111-1-11111-1-1-1-111-1-1-1-11111-1-11-11-11-11-111-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-111-1-111-1-11-11-1
χ6111-1-11111-1-1-1-111-1-1-1-11111-1-11-11-1-11-11-1-111-1-1-1-111111-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-1-1-111-1-1111-11-1
χ7111-1-11111-1-1-1-111-1-1-1-11111-1-1-11-111-11-111-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-11-11
χ8111-1-11111-1-1-1-111-1-1-1-11111-1-1-11-11-11-11-1-111-1-1-1-111111-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-1111-1-111-1-1-11-11
χ911-11-111111111-1-1-1-11-1-1111-1-111-1-11-1-111-11-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-11-11-11-111-1-1
χ1011-11-111111111-1-1-1-11-1-1111-1-111-1-1-111-1-11-1111-1-1-1-111-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-11-11-11-1111-1-1
χ1111-11-111111111-1-1-1-11-1-1111-1-1-1-1111-1-111-11-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-11-11-11-11-1-111
χ1211-11-111111111-1-1-1-11-1-1111-1-1-1-111-111-1-11-1111-1-1-1-111-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11-11-11-11-1-1-111
χ1311-1-111111-1-1-1-1-1-111-11-1111111-1-1111-1-11-1-11-1-111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-11-1-111-1-111-1-11
χ1411-1-111111-1-1-1-1-1-111-11-1111111-1-11-1-111-111-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1-111-1-111-11-1-11
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χ1611-1-111111-1-1-1-1-1-111-11-111111-111-1-1-111-111-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-111-1-111-1-11-111-1
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χ3322-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+522-2-2222-2-200002-2-222-22-2−1+52−1−521−521+521−521+52−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000
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χ3522-2-222222-2-2-2-2-2-222-22-22-1-1-1-12-2-2200000000-2-222-2-22211-1-11111-1-11111-1-1-1-10000000000000000-222-200000000-111-1
χ3622-2-222222-2-2-2-2-2-222-22-22-1-1-1-1-222-200000000-2-222-2-22211-1-11111-1-11111-1-1-1-100000000000000002-2-22000000001-1-11
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χ958-8000−2+25−2−252−252+25−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ5900000000-440000000000000000000000001−51+50000−1+5−1−52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000000000000000000000000000000

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