Finite Group Databasebeta

← Group #11753513

Character table — Group #11753513

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222233334444444444444444444444446666666666888888888888881010101012121212121212121212121212122020202020203030303040406060
order12223445566610101010101044444412121515202020202020202020202020303030303030442020202020202020121260606060606060606060606022444420202020202020202020202024661212444461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1
χ911111-1-11111111111111111-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111-11-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-111111-111-1-1-1-1111-1-11
χ1011111-1-11111111111111111-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111-11-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-1-1-1-1-11111-11-1-11111-1-1-111-1
χ1111111-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-11111111111-1-1111111111-11111-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-111-1
χ1211111-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-11111111111-1-1111111111-11111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-11-1-1-11111-1-11-1-11
χ1311111-1-111111111111-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11-111111111-1-1-1-11-111-1-111-1-11-11-1
χ1411111-1-111111111111-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111-111111111-1-1-1-1-11-1-111-1-111-11-11
χ1511111-1-111111111111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-111111111-1111-1-111-1-1-11-11
χ1611111-1-111111111111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1111111111-1-1-111-1-1111-11-1
χ172222222−1+52−1−52222−1+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+52−1−5222−1+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+52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ182222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-222−1+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+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ192222222−1+52−1−52222−1+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+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+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ202222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-222−1+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+52−1−52-2-21−521−521−521−521+521+521+521+52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000022−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ212222222−1−52−1+52222−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+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+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-222−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1+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+52-2-21+521+521+521+521−521−521−521−52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000022−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ2522222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ2622222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-22-2-2−1+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+52−1−52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200002-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ2722222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52221−521−521−521−521+521+521+521+52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200002-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ2822222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-22-2-2−1+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+52−1−52221−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2922222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ3022222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-22-2-2−1−52−1+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+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ3122222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52221+521+521+521+521−521−521−521−52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200002-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ3222222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-22-2-2−1−52−1+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+52221+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ332222-12222-1-1-1222222000022-1-1-1-1222222222222-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000000000022-1-1-1-10000-1-100
χ342222-12222-1-1-1222222000022-1-1-1-1222222222222-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000000-2-2111100001100
χ352222-12222-1-1-12222220000-2-2-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000111111-1-1-1-11111222200000000000000-2-2-1-1-1-100001100
χ362222-12222-1-1-12222220000-2-2-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000111111-1-1-1-11111-2-2-2-2000000000000002211110000-1-100
χ372222-1-2-222-1-1-122222200002-211-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-100000000001-111111111-1-1-1-122-2-2000000000000002-2-1-1110000-1100
χ382222-1-2-222-1-1-122222200002-211-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-100000000001-111111111-1-1-1-1-2-22200000000000000-2211-1-100001-100
χ392222-1-2-222-1-1-12222220000-2211-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-10000000000-11-1-1-1-11111111122-2-200000000000000-22-1-11100001-100
χ402222-1-2-222-1-1-12222220000-2211-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-10000000000-11-1-1-1-111111111-2-222000000000000002-211-1-10000-1100
χ4122-2-220022-2-22-2-222-2-22i2i−2i−2i000022000000000000-2-2-2-222002i2i−2i−2i2i2i−2i−2i000000000000002-20000000000000000002-200002i−2i0000
χ4222-2-220022-2-22-2-222-2-22i2i−2i−2i000022000000000000-2-2-2-222002i2i−2i−2i2i2i−2i−2i00000000000000-22000000000000000000-220000−2i2i0000
χ4322-2-220022-2-22-2-222-2-2−2i−2i2i2i000022000000000000-2-2-2-22200−2i−2i2i2i−2i−2i2i2i000000000000002-20000000000000000002-20000−2i2i0000
χ4422-2-220022-2-22-2-222-2-2−2i−2i2i2i000022000000000000-2-2-2-22200−2i−2i2i2i−2i−2i2i2i00000000000000-22000000000000000000-2200002i−2i0000
χ452-22-222i−2i222-2-2-2-2-2-2222i−2i2i−2i002i−2i222i−2i2i−2i00000000-2-222-2-22-22i−2i2i−2i2i−2i2i−2i0000002i−2i2i−2i000000000000002-22-2000000000000000000
χ462-22-222i−2i222-2-2-2-2-2-222−2i2i−2i2i002i−2i222i−2i2i−2i00000000-2-222-2-2-22−2i2i−2i2i−2i2i−2i2i0000002i−2i2i−2i00000000000000-22-22000000000000000000
χ472-22-222i−2i−1+52−1−522-2-21−521+521−521+52−1+52−1−522i−2i2i−2i002i−2i−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−1+52−1−521−521+522-2−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ700ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ482-22-222i−2i−1+52−1−522-2-21−521+521−521+52−1+52−1−522i−2i2i−2i002i−2i−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−1+52−1−521−521+522-2−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ700−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
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χ914-44-4-2−4i4i−1−5−1+5-2221+51−51+51−5−1−5−1+50000002i−2i1+521−522ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−1−52−1+521+521−52−1−52−1+52000000000000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000000000000000000000000000
χ924-44-4-2−4i4i−1−5−1+5-2221+51−51+51−5−1−5−1+50000002i−2i1+521−522ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−1−52−1+521+521−52−1−52−1+52000000000000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000000000000000000000000000
χ934-4-44400−1+5−1−5-44-4−1+5−1−51−51+51−51+54-4-440000−1+5−1−5000000000000−1+5−1−51−51+51−51+500−1+51−51−5−1+5−1−51+51+5−1−50000000000000000000000000000000000000000000000
χ944-4-44400−1+5−1−5-44-4−1+5−1−51−51+51−51+5-444-40000−1+5−1−5000000000000−1+5−1−51−51+51−51+5001−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000000000000000000000000000
χ954-4-44400−1−5−1+5-44-4−1−5−1+51+51−51+51−54-4-440000−1−5−1+5000000000000−1−5−1+51+51−51+51−500−1−51+51+5−1−5−1+51−51−5−1+50000000000000000000000000000000000000000000000
χ964-4-44400−1−5−1+5-44-4−1−5−1+51+51−51+51−5-444-40000−1−5−1+5000000000000−1−5−1+51+51−51+51−5001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000000000000000000000000000
χ974-4-44-200442-2244-4-4-4-400000000-2-2000000000000-2-22222000000000000000000000000004i−4i000000000000000000−2i2i00000000
χ984-4-44-200442-2244-4-4-4-400000000-2-2000000000000-2-2222200000000000000000000000000−4i4i0000000000000000002i−2i00000000
χ9988-8-8-400−2+25−2−2544-42−252+25−2+25−2−252−252+25000000001−51+5000000000000−1+5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000
χ10088-8-8-400−2−25−2+2544-42+252−25−2−25−2+252+252−25000000001+51−5000000000000−1−5−1+5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000
χ1018-8-88-400−2+25−2−254-44−2+25−2−252−252+252−252+25000000001−51+50000000000001−51+5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000
χ1028-8-88-400−2−25−2+254-44−2−25−2+252+252−252+252−25000000001+51−50000000000001+51−5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.