Finite Group Databasebeta

← Group #11752947

Character table — Group #11752947

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222233334444444444444444444444446666666666888888888888881010101012121212121212121212121212122020202020203030303040406060
order122234455666101010101010444424101010101212151520202020202020203030303030304420202020202020206123030303060606060606060604444442020202020202020202020202412121212224461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
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
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1111111-1-1
χ911111-1-11111111111111111-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111111-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-111111-1-1-111-1-1111-11-1
χ1011111-1-11111111111111111-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111111-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1111-1-111-1-1-11-11
χ1111111-1-1111111111111111-11-1-1-1-1-1-111-1-1-1-11111111111-1-111111111-11-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-11111-1-1-1-1-11-1-111-1-111-11-11
χ1211111-1-1111111111111111-11-1-1-1-1-1-111-1-1-1-11111111111-1-111111111-11-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-11111-1-1-1-11-111-1-111-1-11-11-1
χ1311111-1-111111111111-1-1-1-11-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1111111111-1-1-1-11-1-1-11111-1-11-1-11
χ1411111-1-111111111111-1-1-1-11-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-1-1111-1-1-1-111-111-1
χ1511111-1-111111111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11-11111-1-1-1-11111-11-1-11111-1-1-111-1
χ1611111-1-111111111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111-11111-1-1-1-111111-111-1-1-1-1111-1-11
χ172222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1+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+52−1−522222-2-21−521−521+521+5222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+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+520000-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ192222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+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+52−1−52−1+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+52−1−52-2-2-2-2-2-21−521−521+521+5222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ212222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+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+522222-2-21+521+521−521−5222−1−52−1+52−1−52−1−52−1+52−1+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+521−521−520000-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ232222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+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+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+52-2-2-2-2-2-21+521+521−521−5222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000221+521+521−521−52−1−52−1−52−1+52−1+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+52−1−5222222-2−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+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+5200002-21−521−521+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+52−1−522222-221−521−521+521+52-2-2−1+52−1−521−521−521+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+52−1−52-2-2-2-22-2−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52221−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000-22−1+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+52−1−52-2-2-2-2-221−521−521+521+52-2-2−1+52−1−521−521−521+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+5222222-2−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002-21+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+522222-221+521+521−521−52-2-2−1−52−1+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+52-2-2-2-22-2−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52221+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-22−1−52−1−52−1+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+52-2-2-2-2-221+521+521−521−52-2-2−1−52−1+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
χ332222-12222-1-1-12222220000222222-1-1-1-122222222-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000000000022-1-1-1-10000-1-100
χ342222-12222-1-1-12222220000222222-1-1-1-122222222-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000000-2-2111100001100
χ352222-12222-1-1-12222220000-2-2-2-2-2-2-1-1-1-12222-2-2-2-2-1-1-1-1-1-10000000000111111-1-1-1-11111222200000000000000-2-2-1-1-1-100001100
χ362222-12222-1-1-12222220000-2-2-2-2-2-2-1-1-1-12222-2-2-2-2-1-1-1-1-1-10000000000111111-1-1-1-11111-2-2-2-2000000000000002211110000-1-100
χ372222-1-2-222-1-1-122222200002-2222211-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000-11-1-1-1-11111111122-2-2000000000000002-211-1-10000-1100
χ382222-1-2-222-1-1-122222200002-2222211-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000-11-1-1-1-111111111-2-22200000000000000-22-1-11100001-100
χ392222-1-2-222-1-1-12222220000-22-2-2-2-211-1-1-2-2-2-22222-1-1-1-1-1-100000000001-111111111-1-1-1-122-2-200000000000000-2211-1-100001-100
χ402222-1-2-222-1-1-12222220000-22-2-2-2-211-1-1-2-2-2-22222-1-1-1-1-1-100000000001-111111111-1-1-1-1-2-222000000000000002-2-1-1110000-1100
χ4122-2-220022-2-222-22-2-2-22i2i−2i−2i000000002200000000-2-22-22-2002i2i−2i−2i2i2i−2i−2i000000000000002-2000000000000000000002-2002i−2i0000
χ4222-2-220022-2-222-22-2-2-22i2i−2i−2i000000002200000000-2-22-22-2002i2i−2i−2i2i2i−2i−2i00000000000000-2200000000000000000000-2200−2i2i0000
χ4322-2-220022-2-222-22-2-2-2−2i−2i2i2i000000002200000000-2-22-22-200−2i−2i2i2i−2i−2i2i2i000000000000002-2000000000000000000002-200−2i2i0000
χ4422-2-220022-2-222-22-2-2-2−2i−2i2i2i000000002200000000-2-22-22-200−2i−2i2i2i−2i−2i2i2i00000000000000-2200000000000000000000-22002i−2i0000
χ452-22-222i−2i22-22-2-2-2-2-2222-22-20000002i−2i222i−2i2i−2i000022-2-2-2-22i−2i2-22-22-22-20000002i−2i2i−2i00000000002i−2i2i−2i0000000000000000000000
χ462-22-222i−2i22-22-2-2-2-2-222-22-220000002i−2i222i−2i2i−2i000022-2-2-2-2−2i2i-22-22-22-220000002i−2i2i−2i0000000000−2i2i−2i2i0000000000000000000000
χ472-22-222i−2i−1+52−1−52-22-21−521−521+521+52−1+52−1−522-22-200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ182i−2i−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−1+52−1−521−521−521+521+522i−2i−1+521−52−1+521−52−1−521+52−1−521+5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ482-22-222i−2i−1+52−1−52-22-21−521−521+521+52−1+52−1−522-22-200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ182i−2i−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−1+52−1−521−521−521+521+522i−2i−1+521−52−1+521−52−1−521+52−1−521+5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
χ492-22-222i−2i−1+52−1−52-22-21−521−521+521+52−1+52−1−52-22-2200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ182i−2i−1+52−1−52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−1+52−1−521−521−521+521+52−2i2i1−52−1+521−52−1+521+52−1−521+52−1−5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
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χ924-44-4-2−4i4i−1−5−1+52-221+51+51−51−5−1−5−1+50000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142i−2i1+521−522ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ191+521−52−1−52−1−52−1+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+5−1−54-4-41−5−1+51+5−1−51−51+54i−4i−4i4i00000000−1+5−1−5000000001−51+51−5−1+51+5−1−500−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ70000000000000000000000000000000000000000000000
χ944-4-44400−1+5−1−54-4-41−5−1+51+5−1−51−51+5−4i4i4i−4i00000000−1+5−1−5000000001−51+51−5−1+51+5−1−5002ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000000000000000000000000000000000000000
χ954-4-44400−1−5−1+54-4-41+5−1−51−5−1+51+51−54i−4i−4i4i00000000−1−5−1+5000000001+51−51+5−1−51−5−1+500−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000000000
χ964-4-44400−1−5−1+54-4-41+5−1−51−5−1+51+51−5−4i4i4i−4i00000000−1−5−1+5000000001+51−51+5−1−51−5−1+5002ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000000000
χ974-4-44-20044-222-44-44-4-4000000000000-2-200000000222-22-2000000000000000000000000004i−4i0000000000000000−2i2i0000000000
χ984-4-44-20044-222-44-44-4-4000000000000-2-200000000222-22-200000000000000000000000000−4i4i00000000000000002i−2i0000000000
χ9988-8-8-400−2+25−2−2544-4−2+252−25−2−252+252−252+250000000000001−51+500000000−1+5−1−51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000
χ10088-8-8-400−2−25−2+2544-4−2−252+25−2+252−252+252−250000000000001+51−500000000−1−5−1+51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000
χ1018-8-88-400−2+25−2−25-4442−25−2+252+25−2−252−252+250000000000001−51+500000000−1+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000
χ1028-8-88-400−2−25−2+25-4442+25−2−252−25−2+252+252−250000000000001+51−500000000−1−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000

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