Finite Group Databasebeta

← Group #11753528

Character table — Group #11753528

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222233334444444444444444444444446666666666888888888888881010101012121212121212121212121212122020202020203030303040406060
order122234455666101010101010444444121215152020202020202020202020203030303030304420202020202020201212606060606060606060606060224422101010101010101020202020446612124444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ41111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
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
χ7111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111-1-1
χ911111-1-11111111111111111-1-1-111-1-1-1-11111-1-1-1-1111111-1-1111111111-1-1-1-1-11111-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-11-111-1-111-1-11-11-1
χ1011111-1-11111111111111111-1-1-111-1-1-1-11111-1-1-1-1111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-11-11
χ1111111-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-11111111111-1-111111111-11-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-11111-1-1-1-1-1111-1-111-1-1-11-11
χ1211111-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-11111111111-1-111111111-11-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-11111-1-1-1-11-1-1-111-1-1111-11-1
χ1311111-1-111111111111-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111-1-1-11-1-1-1-1111111111-111-1-1-1-1111-1-11
χ1411111-1-111111111111-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-111-11-1-1-1-111111111-11-1-11111-1-1-111-1
χ1511111-1-111111111111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11-11111-1-1-1-11111-1111-1-1-1-111-111-1
χ1611111-1-111111111111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111-11111-1-1-1-111111-1-1-11111-1-11-1-11
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+52−1−52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
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+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
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+52−1−52−1−52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200002-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+52−1−52−1−52−1−52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
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+52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200002-2−1+52−1+52−1−52−1−521−521−521+521+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+522-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
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+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000-221+521+521−521−52−1−52−1−52−1+52−1+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+521−521−521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+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
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+521−521−521−521−52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200002-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+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
χ352222-12222-1-1-12222220000-2-2-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1000000000011-1-1-1-111111111222200000000000000-2-2-1-1-1-100001100
χ362222-12222-1-1-12222220000-2-2-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1000000000011-1-1-1-111111111-2-2-2-2000000000000002211110000-1-100
χ372222-1-2-222-1-1-122222200002-211-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-10000000000-111111-1-1-1-1111122-2-2000000000000002-2-1-1110000-1100
χ382222-1-2-222-1-1-122222200002-211-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-10000000000-111111-1-1-1-11111-2-22200000000000000-2211-1-100001-100
χ392222-1-2-222-1-1-12222220000-2211-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-100000000001-111111111-1-1-1-122-2-200000000000000-22-1-11100001-100
χ402222-1-2-222-1-1-12222220000-2211-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-100000000001-111111111-1-1-1-1-2-222000000000000002-211-1-10000-1100
χ4122-2-222-222-2-2222-2-2-2-22i2i−2i−2i002-2222-22-200000000-2-222-2-22i−2i2i2i−2i−2i2i2i−2i−2i002-22-200000000000000000000002i−2i2i−2i00000000000000
χ4222-2-222-222-2-2222-2-2-2-2−2i−2i2i2i002-2222-22-200000000-2-222-2-2−2i2i−2i−2i2i2i−2i−2i2i2i002-22-20000000000000000000000−2i2i−2i2i00000000000000
χ4322-2-222-2−1+52−1−52-2-22−1+52−1−521−521+521−521+522i2i−2i−2i002-2−1+52−1−52−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ71−521+52−1+52−1−521−521+522i−2i−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ700000000000000
χ4422-2-222-2−1+52−1−52-2-22−1+52−1−521−521+521−521+522i2i−2i−2i002-2−1+52−1−52−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ71−521+52−1+52−1−521−521+522i−2i−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ700000000000000
χ4522-2-222-2−1+52−1−52-2-22−1+52−1−521−521+521−521+52−2i−2i2i2i002-2−1+52−1−52−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ71−521+52−1+52−1−521−521+52−2i2iζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ700000000000000
χ4622-2-222-2−1+52−1−52-2-22−1+52−1−521−521+521−521+52−2i−2i2i2i002-2−1+52−1−52−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ71−521+52−1+52−1−521−521+52−2i2iζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ700000000000000
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χ964-4-44400−1−5−1+54-4-41+51−5−1−5−1+51+51−5−4i4i4i−4i0000−1−5−1+5000000000000−1−5−1+51+51−51+51−5002ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000000000
χ974-4-44-20044-222-4-444-4-400000000-2-2000000000000-2-222220000000000000000000000004-4000000000000000000-220000000000
χ984-4-44-20044-222-4-444-4-400000000-2-2000000000000-2-22222000000000000000000000000-440000000000000000002-20000000000
χ998-88-8-400−2+25−2−254-442−252+252−252+25−2+25−2−25000000001−51+5000000000000−1+5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000
χ1008-88-8-400−2−25−2+254-442+252−252+252−25−2−25−2+25000000001+51−5000000000000−1−5−1+5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000
χ1018-8-88-400−2+25−2−25-4442−252+25−2+25−2−252−252+25000000001−51+50000000000001−51+5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000
χ1028-8-88-400−2−25−2+25-4442+252−25−2−25−2+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.