Finite Group Databasebeta

← Group #11754949

Character table — Group #11754949

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444444466666666666666888888888888881010121212121212121212121212122020202020202030304040606060
order122234455666101010101010221010101010101010121215152020202030303030303022222210101010101010106630303030303030306060606044410101010101010102020202044412121212441212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111-1-1-1-11-1-11111-1-1-1-1-111
χ6111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-111-1-1-1-111111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1111111-1-11-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111-111
χ911111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-111111111-1-111111111111-11111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-11-111-1-1111-1-11-1
χ1011111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-111111111-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-111-1-1-111-11
χ1111111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1111-1-1-1-111111111-11-111-1-1-1-11-11-11
χ1211111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-11-1-11111-11-11-1
χ1311111-1-111111111111-11-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1111-1-1-1-1-1111-1
χ1411111-1-111111111111-11-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1111111-1-1-111111-1-1-11
χ1511111-1-111111111111-11-1-1-1-11111-1-111-1-1-1-1111111-1-1111111111111-11-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111-1-111-11-1-11
χ1611111-1-111111111111-11-1-1-1-11111-1-111-1-1-1-1111111-1-1111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-11-111-1
χ172222222−1−52−1+52222−1−52−1−52−1+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+52222222−1−52−1−52−1−52−1−52−1+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+52002−1−52−1−52−1+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+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+52-2-2-2-2-2-21+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+5200-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ192222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-21+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+522222-2-21+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ202222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520021+521+521−521−521+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+52−1−5222−1+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+52−1−52222222−1+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+52−1−52−1−52002−1+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+52−1−5222−1+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+52−1−52-2-2-2-2-2-21−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ232222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+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+52−1−522222-2-21−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ242222222−1+52−1−52222−1+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+52−1−52-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520021−521−521+521+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+522-2−1−52−1−52−1+52−1+521+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+5222-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200-2−1−52−1−52−1+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+522-2−1−52−1−52−1+52−1+521+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+52-2-222-2-21+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520021+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ2722222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-21+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52002−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ2822222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ2922222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222−1+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+5200-2−1+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+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-21−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520021−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ3122222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-21−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52002−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ332222-12222-1-1-12222222222222222-1-1-1-12222-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000000222-1-1-1-100-1-1000
χ342222-12222-1-1-12222222222222222-1-1-1-12222-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000-2-2-211110011000
χ352222-12222-1-1-1222222-2-2-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1000000000000001111111111-1-1-1-12200000000000002-2-2-1-1-1-10011000
χ362222-12222-1-1-1222222-2-2-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1000000000000001111111111-1-1-1-1-2-20000000000000-222111100-1-1000
χ372222-1-2-222-1-1-12222222-22222-2-2-2-211-1-1-2-2-2-2-1-1-1-1-1-100000000000000-11-1-1-1-111111111220000000000000-22-2-1-11100-11000
χ382222-1-2-222-1-1-12222222-22222-2-2-2-211-1-1-2-2-2-2-1-1-1-1-1-100000000000000-11-1-1-1-111111111-2-200000000000002-2211-1-1001-1000
χ392222-1-2-222-1-1-1222222-22-2-2-2-2222211-1-1-2-2-2-2-1-1-1-1-1-1000000000000001-11111-1-1-1-11111220000000000000-2-22-1-111001-1000
χ402222-1-2-222-1-1-1222222-22-2-2-2-2222211-1-1-2-2-2-2-1-1-1-1-1-1000000000000001-11111-1-1-1-11111-2-2000000000000022-211-1-100-11000
χ4122-2-2200222-2-22-22-2-2-20000000000002200002-22-2-2-200002-222-2-222-2-2000000000000002i−2i00000000000000002i−2i002i−2i00000
χ4222-2-2200222-2-22-22-2-2-20000000000002200002-22-2-2-200002-222-2-222-2-200000000000000−2i2i0000000000000000−2i2i00−2i2i00000
χ4322-2-2200222-2-22-22-2-2-20000000000002200002-22-2-2-20000-22-2-222-2-222000000000000002i−2i00000000000000002i−2i00−2i2i00000
χ4422-2-2200222-2-22-22-2-2-20000000000002200002-22-2-2-20000-22-2-222-2-22200000000000000−2i2i0000000000000000−2i2i002i−2i00000
χ452-22-222-222-2-22-2-2-2-22200000000002-2222-22-2-2-2-2-2222-22-2000000000000000000002-22-20002-22-22-22-2000000000000000000
χ462-22-222-222-2-22-2-2-2-22200000000002-2222-22-2-2-2-2-222-22-22000000000000000000002-22-2000-22-22-22-22000000000000000000
χ472-22-222-2−1−52−1+52-2-221+521+521−521−52−1−52−1+5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ582-2−1−52−1+52−1−521+52−1+521−521+521+521−521−52−1−52−1+522-22-200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−521+52−1+521−52000−1−521+52−1+521−52−1−521+52−1+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000000000000
χ482-22-222-2−1−52−1+52-2-221+521+521−521−52−1−52−1+5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ582-2−1−52−1+52−1−521+52−1+521−521+521+521−521−52−1−52−1+52-22-2200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−521+52−1+521−520001+52−1−521−52−1+521+52−1−521−52−1+52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000000000000
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χ914-4-44400−1−5−1+5-44-41+5−1−51−5−1+51+51−5000000000000−1−5−1+500001+5−1−51−5−1+51+51−50000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000000000000000000000000
χ924-4-44400−1+5−1−5-44-41−5−1+51+5−1−51−51+5000000000000−1+5−1−500001−5−1+51+5−1−51−51+50000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000000000000000000000000000
χ934-4-44400−1+5−1−5-44-41−5−1+51+5−1−51−51+5000000000000−1+5−1−500001−5−1+51+5−1−51−51+5000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000000000000000000000000000
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χ954-4-44-200442-22-44-44-4-4000000000000-2-200002-22-222000000000000000000000000000000000000000000000000−23230000000
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χ9788-8-8-400−2+25−2−25-444−2+252−25−2−252+252−252+250000000000001−51+500001−5−1+51+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000
χ988-8-88-400−2−25−2+254-442+25−2−252−25−2+252+252−250000000000001+51−50000−1−51+5−1+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000000
χ998-8-88-400−2+25−2−254-442−25−2+252+25−2−252−252+250000000000001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.