Finite Group Databasebeta

← Group #12131861

Character table — Group #12131861

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222244444444444444448888888888888888888888888888888888888888161616161616161616161616161620202020404040404040404040408080
order1244222444551010202020202244101010101010202020202020244488881010101020202020202020202020202040404040404040404040404040404040441010202020202020202020204444222444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ51111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ9111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-11111-11-1-11-1-1-1111-1
χ10111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-111-1111-1-1-11
χ11111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-111111111-1-11-1-11-1-111-11
χ12111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-11111-1-1-1-111-111-111-1-11-1
χ13111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-11
χ14111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111111-1
χ15111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-111111-111-11-1-1-1-11-1
χ16111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-11111-11
χ172222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ182222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-222-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ242222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ252222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ262222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000000000
χ272222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−520000000000000000
χ282222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-222-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-2221+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ312222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ322222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ332222-2-222-2-2222222222-22-22-2-22-2-22-2-22-2-2000000002-22-22-22-20000000000000000000000000000000000000022-2-20000002-20000
χ342222-2-222-2-2222222222-22-22-2-22-2-22-2-22-2-2000000002-22-22-22-200000000000000000000000000000000000000-2-222000000-220000
χ352222-2-222-2-222222222-22-222-2-22-2-22-2-22-2-200000000-22-22-22-220000000000000000000000000000000000000022-2-2000000-220000
χ362222-2-222-2-222222222-22-222-2-22-2-22-2-22-2-200000000-22-22-22-2200000000000000000000000000000000000000-2-2220000002-20000
χ3722-2-2222-2-2-22222-2-2-2-22-2-22222222-2-2-2-2-2-2000000002-22-2-22-22000000000000000000000000000000000000000000200-200002-200
χ3822-2-2222-2-2-22222-2-2-2-22-2-22222222-2-2-2-2-2-2000000002-22-2-22-22000000000000000000000000000000000000000000-20020000-2200
χ3922-2-2222-2-2-22222-2-2-2-2-222-2222222-2-2-2-2-2-200000000-22-222-22-2000000000000000000000000000000000000000000200-20000-2200
χ4022-2-2222-2-2-22222-2-2-2-2-222-2222222-2-2-2-2-2-200000000-22-222-22-2000000000000000000000000000000000000000000-200200002-200
χ4122-2-22-2-222-22222-2-2-2-20000-22-2-22-222-222-20000002i−2i0000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000002i−2i2i−2i00200-2000000
χ4222-2-22-2-222-22222-2-2-2-20000-22-2-22-222-222-20000002i−2i0000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000−2i2i−2i2i00-2002000000
χ4322-2-22-2-222-22222-2-2-2-20000-22-2-22-222-222-2000000−2i2i000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000002i−2i2i−2i00-2002000000
χ4422-2-22-2-222-22222-2-2-2-20000-22-2-22-222-222-2000000−2i2i000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000−2i2i−2i2i00200-2000000
χ4522-2-2-22-22-222222-2-2-2-20000-2-22-2-222-222-2200002i−2i0000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000002i−2i−2i2i0200-20000000
χ4622-2-2-22-22-222222-2-2-2-20000-2-22-2-222-222-2200002i−2i0000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000−2i2i2i−2i0-20020000000
χ4722-2-2-22-22-222222-2-2-2-20000-2-22-2-222-222-220000−2i2i000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000002i−2i−2i2i0-20020000000
χ4822-2-2-22-22-222222-2-2-2-20000-2-22-2-222-222-220000−2i2i000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000−2i2i2i−2i0200-20000000
χ4922-2-2-2-22-2222222-2-2-2-222-2-22-2-22-2-2-222-2222-22-200002222-2-2-2-222-2-222-2-200000000000000000022-2-2000000000000000000000000
χ5022-2-2-2-22-2222222-2-2-2-222-2-22-2-22-2-2-222-222-22-2200002222-2-2-2-2-2-222-2-222000000000000000000-2-222000000000000000000000000
χ5122-2-2-2-22-2222222-2-2-2-2-2-2222-2-22-2-2-222-2222-2-220000-2-2-2-22222-2-222-2-22200000000000000000022-2-2000000000000000000000000
χ5222-2-2-2-22-2222222-2-2-2-2-2-2222-2-22-2-2-222-222-222-20000-2-2-2-2222222-2-222-2-2000000000000000000-2-222000000000000000000000000
χ5322-2-2-2-22-222−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+521−521−52−1−521+521+521−52−1+52−1+521+52−1−52−1−522-22-20000−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ700−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000000000000000
χ5422-2-2-2-22-222−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+521−521−52−1−521+521+521−52−1+52−1+521+52−1−52−1−522-22-20000−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ700−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.