Finite Group Databasebeta

← Group #11753001

Character table — Group #11753001

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444466888888888888888888101012121212121212121212122020202020202024242424303030303030404060
order1222344556661010101010102412121515202020203030303030302261010122020303030306060606060606060442441010101020202020444121212121010202044444412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ5111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-11
χ6111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-111-1-11111-1
χ7111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111111111-1-111-1-1-1
χ8111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111
χ911111-1-1111111111111-1-1-111-1-1-1-111111111111-1-1-11111-1-1-1-1-1-1-1-111-11-11111-1-1-1-1-1-11-1-111-1-111-1-111111-1-1
χ1011111-1-1111111111111-1-1-111-1-1-1-111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-111-1-1-1-11111-1-1-1-1-111
χ1111111-1-1111111111111-1-1-111-1-1-1-1111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-1-11111-1-11-1-11111-1-111-1-1-1-11-11
χ1211111-1-1111111111111-1-1-111-1-1-1-1111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-111-1-111-1-1-1-11111-11-1
χ1311111-1-111111111111-11-1-111-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-11-1-1-11111-1-11111-1-1-11-1
χ1411111-1-111111111111-11-1-111-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1-11-1111-1-111-1-1-1-1-1-1111-11
χ1511111-1-111111111111-11-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-111-1-1-1-11111-11-1-1-111-1-111-1-1-1-111-111
χ1611111-1-111111111111-11-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-111111-1111-1-1-1-1111111-1-11-1-1
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+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+52000000000
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+52-2-22−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−52000000000
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+52−1−52−1+52−1−52−1−52−1+52−1+5222-21+521−52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−52000000000
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+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521−52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520022-21+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+52000000000
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+52−1−52−1−52222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−52000000000
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+52−1−52−1−52-2-22−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+52000000000
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+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-21−521+52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+52000000000
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+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521+52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520022-21−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−52000000000
χ2522222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+52000000000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52002-221+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−52000000000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5222-21+521−522−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−52000000000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521−522−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-2221+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+52000000000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−52000000000
χ3022222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52002-221−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+52000000000
χ3122222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5222-21−521+522−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52002-2-2−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+52000000000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521+522−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200-2221−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−52000000000
χ332222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-12200000000000222-1-1-1-10000000000-1-10
χ342222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000000-2-2-211110000000000110
χ352222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1001-2-21-2-21111-1-1-1-1111122000000000002-2-2-1-1-1-10000000000110
χ362222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1001-2-21-2-21111-1-1-1-11111-2-200000000000-22211110000000000-1-10
χ372222-1-2-222-1-1-12222222-211-1-1-2-2-2-2-1-1-1-1-1-100-1221-2-2-1-1-1-1111111112200000000000-2-2211-1-10000000000-110
χ382222-1-2-222-1-1-12222222-211-1-1-2-2-2-2-1-1-1-1-1-100-1221-2-2-1-1-1-111111111-2-20000000000022-2-1-11100000000001-10
χ392222-1-2-222-1-1-1222222-2211-1-1-2-2-2-2-1-1-1-1-1-1001-2-2-12211111111-1-1-1-12200000000000-22-211-1-100000000001-10
χ402222-1-2-222-1-1-1222222-2211-1-1-2-2-2-2-1-1-1-1-1-1001-2-2-12211111111-1-1-1-1-2-2000000000002-22-1-1110000000000-110
χ4122-2-2200222-2-2-2-22-22-20000220000-2-22-22-22-20000000000000000002i−2i0002-22-20000000002i−2i0000002i−2i00000
χ4222-2-2200222-2-2-2-22-22-20000220000-2-22-22-22-2000000000000000000−2i2i0002-22-2000000000−2i2i000000−2i2i00000
χ4322-2-2200222-2-2-2-22-22-20000220000-2-22-22-2-220000000000000000002i−2i000-22-220000000002i−2i000000−2i2i00000
χ4422-2-2200222-2-2-2-22-22-20000220000-2-22-22-2-22000000000000000000−2i2i000-22-22000000000−2i2i0000002i−2i00000
χ452-22-222i−2i22-2-2222-2-2-2-2002i−2i222i−2i2i−2i22-2-2-2-20000000000002i−2i2i−2i00000000000000000000000000002-2002i−2i000
χ462-22-222i−2i22-2-2222-2-2-2-2002i−2i222i−2i2i−2i22-2-2-2-20000000000002i−2i2i−2i0000000000000000000000000000-2200−2i2i000
χ472-22-22−2i2i22-2-2222-2-2-2-200−2i2i22−2i2i−2i2i22-2-2-2-2000000000000−2i2i−2i2i00000000000000000000000000002-200−2i2i000
χ482-22-22−2i2i22-2-2222-2-2-2-200−2i2i22−2i2i−2i2i22-2-2-2-2000000000000−2i2i−2i2i0000000000000000000000000000-22002i−2i000
χ494444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+544-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−5200-2−1−5−1+5-2−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000000000000
χ504444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-4-4-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−520021+51−521+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000000
χ514444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−544-2-21−521+52−1+5−1+5−1−5−1−51−521+521−521−521+521+5200-2−1+5−1−5-2−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000000000000
χ524444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-4-4-2-21−521+52−1+5−1+5−1−5−1−51−521+521−521−521+521+520021−51+521−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000000
χ534444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+54-4221+521−521+51+51−51−51+521−521+521+521−521−5200-2−1−5−1+521+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000
χ544444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-44221+521−521+51+51−51−51+521−521+521+521−521−520021+51−5-2−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000000000
χ554444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−54-4221−521+521−51−51+51+51−521+521−521−521+521+5200-2−1+5−1−521−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000
χ564444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-44221−521+521−51−51+51+51−521+521−521−521+521+520021−51+5-2−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000000000
χ5744-4-4400−1−5−1+54-4-41+51−5−1−51+5−1+51−50000−1−5−1+500001+51−5−1−51+5−1+51−54-400000000000000000000000−1−51+5−1+51−5000000000000000000000000
χ5844-4-4400−1−5−1+54-4-41+51−5−1−51+5−1+51−50000−1−5−1+500001+51−5−1−51+5−1+51−5-44000000000000000000000001+5−1−51−5−1+5000000000000000000000000
χ5944-4-4400−1+5−1−54-4-41−51+5−1+51−5−1−51+50000−1+5−1−500001−51+5−1+51−5−1−51+54-400000000000000000000000−1+51−5−1−51+5000000000000000000000000
χ6044-4-4400−1+5−1−54-4-41−51+5−1+51−5−1−51+50000−1+5−1−500001−51+5−1+51−5−1−51+5-44000000000000000000000001−5−1+51+5−1−5000000000000000000000000
χ6144-4-4-20044-222-4-44-44-40000-2-2000022-22-22000000000000000000004i−4i0000000000000000−2i2i0000000000000
χ6244-4-4-20044-222-4-44-44-40000-2-2000022-22-2200000000000000000000−4i4i00000000000000002i−2i0000000000000
χ634-44-444i−4i−1−5−1+5-4-44−1−5−1+51+51+51−51−5004i−4i−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−5−1+51+51+51−51−5000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000000000000000000
χ644-44-444i−4i−1+5−1−5-4-44−1+5−1−51−51−51+51+5004i−4i−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+5−1−51−51−51+51+5000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000000000000000000000000
χ654-44-44−4i4i−1−5−1+5-4-44−1−5−1+51+51+51−51−500−4i4i−1−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−5−1+51+51+51−51−50000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000000000000000
χ664-44-44−4i4i−1+5−1−5-4-44−1+5−1−51−51−51+51+500−4i4i−1+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+5−1−51−51−51+51+50000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000000000000000000
χ674-44-4-24i−4i4422-244-4-4-4-400−2i2i-2-24i−4i4i−4i-2-22222000000000000−2i2i−2i2i0000000000000000000000000000000000000
χ684-44-4-24i−4i−1−5−1+522-2−1−5−1+51+51+51−51−500−2i2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1−52−1+52−1+5200000000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47000000000000000000000000000000000
χ694-44-4-24i−4i−1−5−1+522-2−1−5−1+51+51+51−51−500−2i2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1−52−1+52−1+5200000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47000000000000000000000000000000000
χ704-44-4-24i−4i−1+5−1−522-2−1+5−1−51−51−51+51+500−2i2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−5200000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000000000000
χ714-44-4-24i−4i−1+5−1−522-2−1+5−1−51−51−51+51+500−2i2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−5200000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000000000000000
χ724-44-4-2−4i4i4422-244-4-4-4-4002i−2i-2-2−4i4i−4i4i-2-222220000000000002i−2i2i−2i0000000000000000000000000000000000000
χ734-44-4-2−4i4i−1−5−1+522-2−1−5−1+51+51+51−51−5002i−2i1+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1−52−1+52−1+5200000000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47000000000000000000000000000000000
χ744-44-4-2−4i4i−1−5−1+522-2−1−5−1+51+51+51−51−5002i−2i1+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1−52−1+52−1+5200000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47000000000000000000000000000000000
χ754-44-4-2−4i4i−1+5−1−522-2−1+5−1−51−51−51+51+5002i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1+52−1−52−1−5200000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000000000000000
χ764-44-4-2−4i4i−1+5−1−522-2−1+5−1−51−51−51+51+5002i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1+52−1−52−1−5200000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000000000000
χ774-4-4440044-44-4-4-4-44-440000440000-4-4-44-4400000000000000000000000000000000000000000000000000000
χ784-4-44400−1−5−1+5-44-41+51−51+5−1−51−5−1+50000−1−5−1+500001+51−51+5−1−51−5−1+500000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000
χ794-4-44400−1−5−1+5-44-41+51−51+5−1−51−5−1+50000−1−5−1+500001+51−51+5−1−51−5−1+5000000000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000
χ804-4-44400−1+5−1−5-44-41−51+51−5−1+51+5−1−50000−1+5−1−500001−51+51−5−1+51+5−1−5000000000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000
χ814-4-44400−1+5−1−5-44-41−51+51−5−1+51+5−1−50000−1+5−1−500001−51+51−5−1+51+5−1−500000000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000
χ824-4-44-200442-22-4-4-44-440000-2-20000222-22-200000000000000000000000000000000000023−23000000000000000
χ834-4-44-200442-22-4-4-44-440000-2-20000222-22-2000000000000000000000000000000000000−2323000000000000000
χ8488-8-8-400−2−25−2+25-4442+252−25−2−252+25−2+252−2500001+51−50000−1−5−1+51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000
χ8588-8-8-400−2+25−2−25-4442−252+25−2+252−25−2−252+2500001−51+50000−1+5−1−51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000
χ868-8-88-400−2−25−2+254-442+252−252+25−2−252−25−2+2500001+51−50000−1−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000
χ878-8-88-400−2+25−2−254-442−252+252−25−2+252+25−2−2500001−51+50000−1+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000

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