Finite Group Databasebeta

← Group #14514504

Character table — Group #14514504

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size112222222222244446666888810101010121212121212121212121212121212121616161616161616161616161616161616162424242424242424242424242424242430303030606060606060606080808080
order122445510101010101020202020224436121222442222888810101010202020206121515303030303030606060606060606010101010101010104040404040404040224422448888661212
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
χ5111-1-111111111-1-1-1-1-1-11111-1-11-11-111-1-111-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-11-11-1
χ6111-1-111111111-1-1-1-1-1-11111-1-11-11-1-1-111-1-111-1-1-1-111111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11-1-1111-11-1
χ7111-1-111111111-1-1-1-1-1-11111-1-1-11-1111-1-111-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-11-11
χ8111-1-111111111-1-1-1-1-1-11111-1-1-11-11-1-111-1-111-1-1-1-111111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-111-1-1-11-11
χ911-11-111-1-1-1-11111-1-11-1-1111111-1-111-11-11-11-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-111-111-1-11-11-11-1-11
χ1011-11-111-1-1-1-11111-1-11-1-1111111-1-11-11-11-11-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-111-1-1-111-11-111-1-11
χ1111-11-111-1-1-1-11111-1-11-1-111111-111-11-11-11-11-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11-1-11-1-111-11-11-111-1
χ1211-11-111-1-1-1-11111-1-11-1-111111-111-1-11-11-11-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1111-1-1111-1-11-11-1-111-1
χ1311-1-1111-1-1-1-111-1-111-11-1111-1-111-1-11-1-111-1-11-1-111-1-111-1111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1111-1-111-1-1111-1-1
χ1411-1-1111-1-1-1-111-1-111-11-1111-1-111-1-1-111-1-111-1-1-111-1-111-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-111-1-111-111-1-1
χ1511-1-1111-1-1-1-111-1-111-11-1111-1-1-1-1111-1-111-1-11-1-111-1-111-1111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1-1-111
χ1611-1-1111-1-1-1-111-1-111-11-1111-1-1-1-111-111-1-111-1-1-111-1-111-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-11-1-111-1-11-1-111
χ17222222222222222222222-1-1-1-122220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222200000000-1-1-1-1
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χ24222-2-222222222-2-2-2-2-2-222-1-111-22-2200000000-2-2-2-22222-11-1-1-1-1-1-1-1-1111111110000000000000000-22-22000000001-11-1
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χ28222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52-2-22222-2-20000-2-222-2-2221−521+521−521+52−1+52−1−52−1+52−1−522-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ2922-22-222-2-2-2-22222-2-22-2-22-1-1-1-12-2-220000000022-2-2-2-22211-1-11111-1-1-1-1-1-111110000000000000000-222-200000000-111-1
χ3022-22-222-2-2-2-22222-2-22-2-22-1-1-1-1-222-20000000022-2-2-2-22211-1-11111-1-1-1-1-1-1111100000000000000002-2-22000000001-1-11
χ3122-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−522-2-22222200002-22-22-22-2−1−52−1+521+521−521+521−52−1−52−1+52-2-2−1−52−1+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+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000000000
χ3222-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−522-2-2222220000-22-22-22-22−1−52−1+521+521−521+521−52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+520000000000000000
χ3322-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+522-2-22222200002-22-22-22-2−1+52−1−521−521+521−521+52−1+52−1−52-2-2−1+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+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000
χ3422-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+522-2-2222220000-22-22-22-22−1+52−1−521−521+521−521+52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−520000000000000000
χ3522-2-2222-2-2-2-222-2-222-22-22-1-11122-2-200000000-2-222-2-2221-1-1-11111-1-11111-1-1-1-10000000000000000-2-22200000000-1-111
χ3622-2-2222-2-2-2-222-2-222-22-22-1-111-2-22200000000-2-222-2-2221-1-1-11111-1-11111-1-1-1-1000000000000000022-2-20000000011-1-1
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χ3922-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−52-22-2222-2-200002-2-222-2-221−521+52−1+52−1−521−521+52−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000000000000000
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χ4333333333333333333-1-1-1-10000-3-3-3-31111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-1-1-1-1-11111-1-1-1-111110000
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χ5133-33-333-3-3-3-33333-3-3-111-10000-333-31-11-1-11-11-1-11111-1-100000000000000000011-1-111-1-1-1-111-1-111-111-1-1-1111-11-10000
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χ958-8000−2+25−2−25−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+2500000000-440000000000000000000000001−51+52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1−50000000000000000000000000000000000000000

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