Finite Group Databasebeta

← Group #11752861

Character table — Group #11752861

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444444466666666666666888888888888881010121212121212121212121212122020202020202030304040606060
order122222355666101010101010446610101010151520202020202020203030303030302244442020202020202020121230303030606060606060606044410101010202020202020202044412121212441212444
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
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-11-11111-1-1-1-111-1
χ6111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-11111-1-11
χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-11-1111111-1-1-1-11
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-11111-1
χ91111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-11-1-111
χ101111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11111-111-1-11111-111-1-1
χ111111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111111111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-11-1-111-1-1111-11-1-1
χ121111-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-11-111
χ131111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-1111111111111-1-11111111111-11-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1111-1-111-11-11-1
χ141111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-1111111111111-1-11111111111-11-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-11-11-11
χ151111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1111-1-1-1-1-111-11
χ161111-1-1111111111111-11-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111111111-1-1-111111-1-11-1
χ172222222−1−52−1+52222−1−52−1+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+52−1−52−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52-2-222−1−52−1−52−1+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+522222-2-21+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200-2−1−52−1−52−1+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+52-2-222−1−52−1−52−1+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+52-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520021+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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52-2-222−1+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+52−1−52−1−522222-2-21−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+52−1−52-2-222−1+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+52−1−52−1−52-2-2-2-222−1+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+520021−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ25222222-122-1-1-122222222-1-12222-1-122222222-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000000222-1-1-1-100-1-1000
χ26222222-122-1-1-122222222-1-12222-1-122222222-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000-2-2-211110011000
χ27222222-122-1-1-1222222-2-2-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000000011-1-1-1-111111111220000000000000-22-2-1-1-1-10011000
χ28222222-122-1-1-1222222-2-2-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000000011-1-1-1-111111111-2-200000000000002-22111100-1-1000
χ292222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-21+521+521+521+521−521−521−521−522-21+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
χ302222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ312222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ322222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-21+521+521+521+521−521−521−521−52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520021+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ332222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-21−521−521−521−521+521+521+521+522-21−521−521+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
χ342222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-22222−1+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+5200-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ352222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-222−1+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+52−1−52−1−5200-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ362222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-21−521−521−521−521+521+521+521+52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520021−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ372222-2-2-122-1-1-12222222-211-2-2-2-2-1-12222-2-2-2-2-1-1-1-1-1-100000000000000-111111-1-1-1-111112200000000000002-2-2-1-11100-11000
χ382222-2-2-122-1-1-12222222-211-2-2-2-2-1-12222-2-2-2-2-1-1-1-1-1-100000000000000-111111-1-1-1-11111-2-20000000000000-22211-1-1001-1000
χ392222-2-2-122-1-1-1222222-2211-2-2-2-2-1-1-2-2-2-22222-1-1-1-1-1-1000000000000001-111111111-1-1-1-1220000000000000-2-22-1-111001-1000
χ402222-2-2-122-1-1-1222222-2211-2-2-2-2-1-1-2-2-2-22222-1-1-1-1-1-1000000000000001-111111111-1-1-1-1-2-2000000000000022-211-1-100-11000
χ4122-2-22-22222-2-2-2-222-2-2002-22-22-2220000000022-2-2-2-22-22-20000000000002-22-2000000000002-22-22-22-2000000000000000000
χ4222-2-22-22222-2-2-2-222-2-2002-22-22-2220000000022-2-2-2-2-22-220000000000002-22-200000000000-22-22-22-22000000000000000000
χ4322-2-22-22−1−52−1+522-2-21+521−52−1−52−1+521+521−52002-2−1−521+52−1+521−52−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521+521−521−522-22-200−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ4700−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000−1−521+52−1+521−52−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000
χ4422-2-22-22−1−52−1+522-2-21+521−52−1−52−1+521+521−52002-2−1−521+52−1+521−52−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521+521−521−52-22-2200ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ4700−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470001+52−1−521−52−1+521+52−1−521−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000
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χ844-44-4004−1−5−1+5-44-4−1−5−1+51+51−51+51−500000000−1−5−1+5000000001+51−51+5−1−51−5−1+5000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000
χ854-44-4004−1−5−1+5-44-4−1−5−1+51+51−51+51−500000000−1−5−1+5000000001+51−51+5−1−51−5−1+50000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000000
χ864-44-4004−1+5−1−5-44-4−1+5−1−51−51+51−51+500000000−1+5−1−5000000001−51+51−5−1+51+5−1−50000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000000000000000000000000
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χ904-4-44004−1−5−1+5-4-441+51−51+51−5−1−5−1+500000000−1−5−1+5000000001+51−5−1−51+5−1+51−500004-4−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000000000000
χ914-4-44004−1−5−1+5-4-441+51−51+51−5−1−5−1+500000000−1−5−1+5000000001+51−5−1−51+5−1+51−50000-441+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000000
χ924-4-44004−1+5−1−5-4-441−51+51−51+5−1+5−1−500000000−1+5−1−5000000001−51+5−1+51−5−1−51+500004-4−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000000000000
χ934-4-44004−1+5−1−5-4-441−51+51−51+5−1+5−1−500000000−1+5−1−5000000001−51+5−1+51−5−1−51+50000-441−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000000
χ944-4-4400-24422-2-4-4-4-44400000000-2-20000000022-22-2200000000000000000000000000004-40000000000000000-22000000000
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χ968-88-800-4−2−25−2+254-44−2−25−2+252+252−252+252−25000000001+51−500000000−1−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000
χ978-88-800-4−2+25−2−254-44−2+25−2−252−252+252−252+25000000001−51+500000000−1+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000
χ988-8-8800-4−2−25−2+2544-42+252−252+252−25−2−25−2+25000000001+51−500000000−1−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000
χ998-8-8800-4−2+25−2−2544-42−252+252−252+25−2+25−2−25000000001−51+500000000−1+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000

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