Finite Group Databasebeta

← Group #14277267

Character table — Group #14277267

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222444444444444444555588888888888888888888101010101010101012121212202020202020202424242424242424404040404040404040404040606060606060606060606060
order122222344666456610101010101010121212124444152020202030303030303030606060606060606044441212121244444121212121212202020202020202088882424242424242424444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ6111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii
χ7111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−i−i−iiiii
χ8111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111iiii−i−i−i−i
χ91111-1-11-1-111111-1-111-1-11-1-111-1-11111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111ii−i−i111-1-1-1-1iiii−i−i−i−i1-11-111-1-111-1-1ii−i−iii−i−iii−i−i
χ101111-1-11-1-111111-1-111-1-11-1-111-1-11111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111ii−i−i111-1-1-1-1iiii−i−i−i−i-11-11-1-111-1-111ii−i−i−i−iii−i−iii
χ111111-1-11-1-111111-1-111-1-11-1-111-1-11111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111−i−iii111-1-1-1-1−i−i−i−iiiii1-11-111-1-111-1-1−i−iii−i−iii−i−iii
χ121111-1-11-1-111111-1-111-1-11-1-111-1-11111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111−i−iii111-1-1-1-1−i−i−i−iiiii-11-11-1-111-1-111−i−iiiii−i−iii−i−i
χ131111-1-11-1-111111-1-111-1-11-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1ii−i−i-1-1-11111iiii−i−i−i−ii−i−iiii−i−i−i−iii−i−iii-1-11111-1-1
χ141111-1-11-1-111111-1-111-1-11-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1ii−i−i-1-1-11111iiii−i−i−i−i−iii−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ151111-1-11-1-111111-1-111-1-11-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1−i−iii-1-1-11111−i−i−i−iiiiii−i−iiii−i−i−i−iiiii−i−i11-1-1-1-111
χ161111-1-11-1-111111-1-111-1-11-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1−i−iii-1-1-11111−i−i−i−iiiii−iii−i−i−iiiii−i−iii−i−i-1-11111-1-1
χ172222222-2-2222-22222222222-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-222220000-2-2-222-2-200000000000000000000000000000000
χ182222222-2-2222-22222222222-2-2-2-2-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-20000222-2-22200000000000000000000000000000000
χ19222222-122-1-1-122-1-12222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000
χ20222222-122-1-1-122-1-12222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-100000000-2-2-2-211111111000000000000
χ21222222-122-1-1-122-1-12222222-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2111111000000002i2i−2i−2i−i−i−i−iiiii000000000000
χ22222222-122-1-1-122-1-12222222-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-211111100000000−2i−2i2i2iiiii−i−i−i−i000000000000
χ23222222-1-2-2-1-1-1-22-1-1222222211112222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-10000-211-1-111000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ24222222-1-2-2-1-1-1-22-1-1222222211112222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-10000-211-1-111000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ25222222-1-2-2-1-1-1-22-1-122222221111-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222111100002-1-111-1-10000000000003−33−3−33−33000000000000
χ26222222-1-2-2-1-1-1-22-1-122222221111-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222111100002-1-111-1-1000000000000−33−333−33−3000000000000
χ272222-2-2222222-22-2-222-2-22-2-2-2-22222222-2-22222-2-2-2-22-2-2-2-22222-2-22222220000-2-2-2-2-22200000000000000000000000000000000
χ282222-2-2222222-22-2-222-2-22-2-2-2-222-2-2-2-22-2-22222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2000022222-2-200000000000000000000000000000000
χ292222-2-2-122-1-1-1-221122-2-22-2-211-1-12222-1-2-222-1-11111-11111-1-1-1-1-2-222-1-1-1-10000-21111-1-1000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ302222-2-2-122-1-1-1-221122-2-22-2-211-1-12222-1-2-222-1-11111-11111-1-1-1-1-2-222-1-1-1-10000-21111-1-1000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ312222-2-2-122-1-1-1-221122-2-22-2-211-1-1-2-2-2-2-1-2-222-1-11111-11111-1-1-1-122-2-2111100002-1-1-1-1110000000000003−3−33−333−3000000000000
χ322222-2-2-122-1-1-1-221122-2-22-2-211-1-1-2-2-2-2-1-2-222-1-11111-11111-1-1-1-122-2-2111100002-1-1-1-111000000000000−333−33−3−33000000000000
χ332222-2-2-1-2-2-1-1-1221122-2-22-2-2-1-1112222-122-2-2-1-11111-1-1-1-1-11111-2-2-2-2-1-1-1-100002-1-11111000000002-22-2-1-111-1-111000000000000
χ342222-2-2-1-2-2-1-1-1221122-2-22-2-2-1-1112222-122-2-2-1-11111-1-1-1-1-11111-2-2-2-2-1-1-1-100002-1-1111100000000-22-2211-1-111-1-1000000000000
χ352222-2-2-1-2-2-1-1-1221122-2-22-2-2-1-111-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111222211110000-211-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i000000000000
χ362222-2-2-1-2-2-1-1-1221122-2-22-2-2-1-111-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111222211110000-211-1-1-1-100000000−2i2i2i−2iii−i−i−i−iii000000000000
χ372-22-20022i−2i-22-202002-200-200002i−2i22-2-22002i−2i2-20000-200002i2i−2i−2i002i−2i22-2-21+i−1−i1−i−1+i000002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000001+i−1−i1−i−1+i00000000
χ382-22-20022i−2i-22-202002-200-200002i−2i22-2-22002i−2i2-20000-200002i2i−2i−2i002i−2i22-2-2−1−i1+i−1+i1−i000002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000−1−i1+i−1+i1−i00000000
χ392-22-20022i−2i-22-202002-200-200002i−2i-2-2222002i−2i2-20000-200002i2i−2i−2i00−2i2i-2-2221+i−1−i1−i−1+i00000−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000−1−i1+i−1+i1−i00000000
χ402-22-20022i−2i-22-202002-200-200002i−2i-2-2222002i−2i2-20000-200002i2i−2i−2i00−2i2i-2-222−1−i1+i−1+i1−i00000−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000001+i−1−i1−i−1+i00000000
χ412-22-2002−2i2i-22-202002-200-20000−2i2i22-2-2200−2i2i2-20000-20000−2i−2i2i2i00−2i2i22-2-21−i−1+i1+i−1−i00000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000001−i−1+i1+i−1−i00000000
χ422-22-2002−2i2i-22-202002-200-20000−2i2i22-2-2200−2i2i2-20000-20000−2i−2i2i2i00−2i2i22-2-2−1+i1−i−1−i1+i00000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000−1+i1−i−1−i1+i00000000
χ432-22-2002−2i2i-22-202002-200-20000−2i2i-2-222200−2i2i2-20000-20000−2i−2i2i2i002i−2i-2-2221−i−1+i1+i−1−i000002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000−1+i1−i−1−i1+i00000000
χ442-22-2002−2i2i-22-202002-200-20000−2i2i-2-222200−2i2i2-20000-20000−2i−2i2i2i002i−2i-2-222−1+i1−i−1−i1+i000002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000001−i−1+i1+i−1−i00000000
χ452-2-222-2200-2-22022-2-22-2-2-22200002i−2i2i−2i20000-2222-2-2-2000000002i−2i002i−2i2i−2i00000002i−2i000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i
χ462-2-222-2200-2-22022-2-22-2-2-22200002i−2i2i−2i20000-2222-2-2-2000000002i−2i002i−2i2i−2i00000002i−2i00000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i
χ472-2-222-2200-2-22022-2-22-2-2-2220000−2i2i−2i2i20000-2222-2-2-200000000−2i2i00−2i2i−2i2i0000000−2i2i000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i
χ482-2-222-2200-2-22022-2-22-2-2-2220000−2i2i−2i2i20000-2222-2-2-200000000−2i2i00−2i2i−2i2i0000000−2i2i00000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i
χ492-2-22-22200-2-2202-22-2222-2-2-200002i−2i2i−2i20000-22-2-222-200000000−2i2i002i−2i2i−2i0000000−2i2i000000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i
χ502-2-22-22200-2-2202-22-2222-2-2-200002i−2i2i−2i20000-22-2-222-200000000−2i2i002i−2i2i−2i0000000−2i2i00000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i
χ512-2-22-22200-2-2202-22-2222-2-2-20000−2i2i−2i2i20000-22-2-222-2000000002i−2i00−2i2i−2i2i00000002i−2i000000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i
χ522-2-22-22200-2-2202-22-2222-2-2-20000−2i2i−2i2i20000-22-2-222-2000000002i−2i00−2i2i−2i2i00000002i−2i00000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i
χ534444444444444-144-1-1-1-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000044440000000-1-1-1-1-1-1-1-1000000000000000000000000
χ544444444444444-144-1-1-1-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-4-4-4-4000000011111111000000000000000000000000
χ554444444-4-4444-4-144-1-1-1-1-1-1-1-4-4-4-40000-11111-1-1-1-1-1-1-1111111110000000000000000000−55−55−55−55000000000000000000000000
χ564444444-4-4444-4-144-1-1-1-1-1-1-1-4-4-4-40000-11111-1-1-1-1-1-1-11111111100000000000000000005−55−55−55−5000000000000000000000000
χ574444-4-4444444-4-1-4-4-1-111-111-4-4440000-111-1-1-1-11111-11111-1-1-1-10000000000000000000−i5i5−i5i5i5−i5i5−i5000000000000000000000000
χ584444-4-4444444-4-1-4-4-1-111-111-4-4440000-111-1-1-1-11111-11111-1-1-1-10000000000000000000i5−i5i5−i5−i5i5−i5i5000000000000000000000000
χ594444-4-44-4-44444-1-4-4-1-111-11144-4-40000-1-1-111-1-11111-1-1-1-1-11111000000004i4i−4i−4i0000000−i−i−i−iiiii000000000000000000000000
χ604444-4-44-4-44444-1-4-4-1-111-11144-4-40000-1-1-111-1-11111-1-1-1-1-1111100000000−4i−4i4i4i0000000iiii−i−i−i−i000000000000000000000000
χ6144-4-4004004-4-40400-4-40040000004i−4i−4i4i40000-4-4000040000000000004i−4i−4i4i0000000000000000000000000000000000000000000
χ6244-4-4004004-4-40400-4-4004000000−4i4i4i−4i40000-4-400004000000000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ6344-4-400-200-2220400-4-400400−2i32i3004i−4i−4i4i-20000220000-2−2i3−2i32i32i300000000−2i2i2i−2i0000023−23000000000000000000000000000000000000
χ6444-4-400-200-2220400-4-400400−2i32i300−4i4i4i−4i-20000220000-2−2i3−2i32i32i3000000002i−2i−2i2i00000−2323000000000000000000000000000000000000
χ6544-4-400-200-2220400-4-4004002i3−2i3004i−4i−4i4i-20000220000-22i32i3−2i3−2i300000000−2i2i2i−2i00000−2323000000000000000000000000000000000000
χ6644-4-400-200-2220400-4-4004002i3−2i300−4i4i4i−4i-20000220000-22i32i3−2i3−2i3000000002i−2i−2i2i0000023−23000000000000000000000000000000000000
χ674-44-40044i−4i-44-40-100-11−551−55004i−4i0000-1−i5i5−ii-11−55−551−i5i5−i5i5−i−iii000000002+2i−2−2i2−2i−2+2i0000000ζ2−ζ11−ζ19+ζ22−ζ31+ζ38+ζ58−ζ59−ζ7+ζ14−ζ23+ζ26+ζ34−ζ43+ζ46−ζ47−ζ2+ζ11+ζ19−ζ22+ζ31−ζ38−ζ58+ζ59ζ7−ζ14+ζ23−ζ26−ζ34+ζ43−ζ46+ζ47ζ2+ζ11+ζ19+ζ22+ζ31+ζ38+ζ58+ζ59ζ7+ζ14+ζ23+ζ26+ζ34+ζ43+ζ46+ζ47−ζ2−ζ11−ζ19−ζ22−ζ31−ζ38−ζ58−ζ59−ζ7−ζ14−ζ23−ζ26−ζ34−ζ43−ζ46−ζ47000000000000000000000000
χ684-44-40044i−4i-44-40-100-11−551−55004i−4i0000-1−i5i5−ii-11−55−551−i5i5−i5i5−i−iii00000000−2−2i2+2i−2+2i2−2i0000000−ζ2+ζ11+ζ19−ζ22+ζ31−ζ38−ζ58+ζ59ζ7−ζ14+ζ23−ζ26−ζ34+ζ43−ζ46+ζ47ζ2−ζ11−ζ19+ζ22−ζ31+ζ38+ζ58−ζ59−ζ7+ζ14−ζ23+ζ26+ζ34−ζ43+ζ46−ζ47−ζ2−ζ11−ζ19−ζ22−ζ31−ζ38−ζ58−ζ59−ζ7−ζ14−ζ23−ζ26−ζ34−ζ43−ζ46−ζ47ζ2+ζ11+ζ19+ζ22+ζ31+ζ38+ζ58+ζ59ζ7+ζ14+ζ23+ζ26+ζ34+ζ43+ζ46+ζ47000000000000000000000000
χ694-44-40044i−4i-44-40-100-115−515−5004i−4i0000-1i5−i5−ii-115−55−51i5−i5i5−i5−i−iii000000002+2i−2−2i2−2i−2+2i0000000−ζ7+ζ14−ζ23+ζ26+ζ34−ζ43+ζ46−ζ47ζ2−ζ11−ζ19+ζ22−ζ31+ζ38+ζ58−ζ59ζ7−ζ14+ζ23−ζ26−ζ34+ζ43−ζ46+ζ47−ζ2+ζ11+ζ19−ζ22+ζ31−ζ38−ζ58+ζ59ζ7+ζ14+ζ23+ζ26+ζ34+ζ43+ζ46+ζ47ζ2+ζ11+ζ19+ζ22+ζ31+ζ38+ζ58+ζ59−ζ7−ζ14−ζ23−ζ26−ζ34−ζ43−ζ46−ζ47−ζ2−ζ11−ζ19−ζ22−ζ31−ζ38−ζ58−ζ59000000000000000000000000
χ704-44-40044i−4i-44-40-100-115−515−5004i−4i0000-1i5−i5−ii-115−55−51i5−i5i5−i5−i−iii00000000−2−2i2+2i−2+2i2−2i0000000ζ7−ζ14+ζ23−ζ26−ζ34+ζ43−ζ46+ζ47−ζ2+ζ11+ζ19−ζ22+ζ31−ζ38−ζ58+ζ59−ζ7+ζ14−ζ23+ζ26+ζ34−ζ43+ζ46−ζ47ζ2−ζ11−ζ19+ζ22−ζ31+ζ38+ζ58−ζ59−ζ7−ζ14−ζ23−ζ26−ζ34−ζ43−ζ46−ζ47−ζ2−ζ11−ζ19−ζ22−ζ31−ζ38−ζ58−ζ59ζ7+ζ14+ζ23+ζ26+ζ34+ζ43+ζ46+ζ47ζ2+ζ11+ζ19+ζ22+ζ31+ζ38+ζ58+ζ59000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.