Finite Group Databasebeta

← Group #11754786

Character table — Group #11754786

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222444444446666121222224444448888888812121212242422224444448888888812121212242455551010101010102020202020202020303030306060
order12222236662466661212444444510101010101530303010203030303060602020202020205101010101015303030102030303030606020202020202022222266662466661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1
χ41111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ51111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-1
χ61111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-11
χ71111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-11
χ81111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-1
χ9222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000
χ10222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000
χ112222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-111000000
χ122222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-1000000
χ1322-2-20022-2-200000000002i−2i0022-2-20022-2-200000000002i−2i0022-2-20022-2-200000000002i−2i0022-2-20022-2-200000000002i−2i00
χ1422-2-20022-2-20000000000−2i2i0022-2-20022-2-20000000000−2i2i0022-2-20022-2-20000000000−2i2i0022-2-20022-2-20000000000−2i2i00
χ152-22-2002-22-2000000002i−2i00002-22-2002-22-2000000002i−2i00002-22-2002-22-2000000002i−2i00002-22-2002-22-2000000002i−2i0000
χ162-22-2002-22-200000000−2i2i00002-22-2002-22-200000000−2i2i00002-22-2002-22-200000000−2i2i00002-22-2002-22-200000000−2i2i0000
χ172-2-222-22-2-22002-200000000002-2-222-22-2-22002-200000000002-2-222-22-2-22002-200000000002-2-222-22-2-22002-20000000000
χ182-2-222-2-111-100-11−i3i3−i3i30000002-2-222-2-111-100-11−i3i3−i3i30000002-2-222-2-111-100-11−i3i3−i3i30000002-2-222-2-111-100-11−i3i3−i3i3000000
χ192-2-222-2-111-100-11i3−i3i3−i30000002-2-222-2-111-100-11i3−i3i3−i30000002-2-222-2-111-100-11i3−i3i3−i30000002-2-222-2-111-100-11i3−i3i3−i3000000
χ202-2-22-222-2-2200-2200000000002-2-22-222-2-2200-2200000000002-2-22-222-2-2200-2200000000002-2-22-222-2-2200-220000000000
χ212-2-22-22-111-1001-1−i3i3i3−i30000002-2-22-22-111-1001-1−i3i3i3−i30000002-2-22-22-111-1001-1−i3i3i3−i30000002-2-22-22-111-1001-1−i3i3i3−i3000000
χ222-2-22-22-111-1001-1i3−i3−i3i30000002-2-22-22-111-1001-1i3−i3−i3i30000002-2-22-22-111-1001-1i3−i3−i3i30000002-2-22-22-111-1001-1i3−i3−i3i3000000
χ2344-4-400-2-2220000000000000044-4-400-2-2220000000000000044-4-400-2-2220000000000000044-4-400-2-22200000000000000
χ244-44-400-22-22000000000000004-44-400-22-22000000000000004-44-400-22-22000000000000004-44-400-22-2200000000000000
χ25111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ271111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ281111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ291111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-1-1-1-1-111-1-1-1-1-1111-1-111-1-111-11
χ301111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-11-1-1-1-111-1-1-1-1-1111-1-11111-1-11-1
χ311111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-11-11111-1-1-1-1111-1
χ321111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-1-1-1-1-111-1-1-1-11-11111-1-111-1-1-11
χ33222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000-2-2-2-2-2-21111-2-2111111000000
χ34222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000-2-2-2-2-2-211112211-1-1-1-1000000
χ352222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-111000000-2-2-2-2221111-22-1-111-1-1000000
χ362222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-1000000-2-2-2-22211112-2-1-1-1-111000000
χ3722-2-20022-2-200000000002i−2i0022-2-20022-2-200000000002i−2i0022-2-20022-2-200000000002i−2i00-2-22200-2-2220000000000−2i2i00
χ3822-2-20022-2-20000000000−2i2i0022-2-20022-2-20000000000−2i2i0022-2-20022-2-20000000000−2i2i00-2-22200-2-22200000000002i−2i00
χ392-22-2002-22-2000000002i−2i00002-22-2002-22-2000000002i−2i00002-22-2002-22-2000000002i−2i0000-22-2200-22-2200000000−2i2i0000
χ402-22-2002-22-200000000−2i2i00002-22-2002-22-200000000−2i2i00002-22-2002-22-200000000−2i2i0000-22-2200-22-22000000002i−2i0000
χ412-2-222-22-2-22002-200000000002-2-222-22-2-22002-200000000002-2-222-22-2-22002-20000000000-222-2-22-222-200-220000000000
χ422-2-222-2-111-100-11−i3i3−i3i30000002-2-222-2-111-100-11−i3i3−i3i30000002-2-222-2-111-100-11−i3i3−i3i3000000-222-2-221-1-11001-1i3−i3i3−i3000000
χ432-2-222-2-111-100-11i3−i3i3−i30000002-2-222-2-111-100-11i3−i3i3−i30000002-2-222-2-111-100-11i3−i3i3−i3000000-222-2-221-1-11001-1−i3i3−i3i3000000
χ442-2-22-222-2-2200-2200000000002-2-22-222-2-2200-2200000000002-2-22-222-2-2200-220000000000-222-22-2-222-2002-20000000000
χ452-2-22-22-111-1001-1−i3i3i3−i30000002-2-22-22-111-1001-1−i3i3i3−i30000002-2-22-22-111-1001-1−i3i3i3−i3000000-222-22-21-1-1100-11i3−i3−i3i3000000
χ462-2-22-22-111-1001-1i3−i3−i3i30000002-2-22-22-111-1001-1i3−i3−i3i30000002-2-22-22-111-1001-1i3−i3−i3i3000000-222-22-21-1-1100-11−i3i3i3−i3000000
χ4744-4-400-2-2220000000000000044-4-400-2-2220000000000000044-4-400-2-22200000000000000-4-4440022-2-200000000000000
χ484-44-400-22-22000000000000004-44-400-22-22000000000000004-44-400-22-2200000000000000-44-44002-22-200000000000000
χ49222222222222222222222222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000
χ50222222222222222222-2-2-2-2-2-2−1+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+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52000000000000000000000000
χ512222222222-2-222-2-2-2-22222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+52000000000000000000000000
χ522222222222-2-222-2-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52000000000000000000000000
χ532222-2-222222-2-2-222-2-222-2-22-2−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52000000000000000000000000
χ542222-2-222222-2-2-222-2-2-2-222-22−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52000000000000000000000000
χ552222-2-22222-22-2-2-2-22222-2-2-22−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52000000000000000000000000
χ562222-2-22222-22-2-2-2-222-2-2222-2−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+52000000000000000000000000
χ57444444-2-2-2-244-2-2-2-2-2-2000000−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−52−1+5−1+51−521−521−521−521−521−52000000−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+52−1−5−1−51+521+521+521+521+521+52000000000000000000000000000000
χ58444444-2-2-2-2-4-4-2-22222000000−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−521−51−51−521−52−1+52−1+52−1+52−1+52000000−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+521+51+51+521+52−1−52−1−52−1−52−1−52000000000000000000000000000000
χ594444-4-4-2-2-2-24-422-2-222000000−1+5−1+5−1+5−1+51−51−51−521−521−521−52−1+51−5−1+52−1+521−521−52−1+52−1+52000000−1−5−1−5−1−5−1−51+51+51+521+521+521+52−1−51+5−1−52−1−521+521+52−1−52−1−52000000000000000000000000000000
χ604444-4-4-2-2-2-2-442222-2-2000000−1+5−1+5−1+5−1+51−51−51−521−521−521−521−5−1+5−1+52−1+52−1+52−1+521−521−52000000−1−5−1−5−1−5−1−51+51+51+521+521+521+521+5−1−5−1−52−1−52−1−52−1−521+521+52000000000000000000000000000000
χ6144-4-40044-4-400000000004i−4i00−1+5−1+51−51−500−1+5−1+51−51−50000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700−1−5−1−51+51+500−1−5−1−51+51+50000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000
χ6244-4-40044-4-40000000000−4i4i00−1+5−1+51−51−500−1+5−1+51−51−500000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700−1−5−1−51+51+500−1−5−1−51+51+500000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000
χ634-44-4004-44-4000000004i−4i0000−1+51−5−1+51−500−1+51−5−1+51−500000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000−1−51+5−1−51+500−1−51+5−1−51+500000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000000000000000
χ644-44-4004-44-400000000−4i4i0000−1+51−5−1+51−500−1+51−5−1+51−5000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000−1−51+5−1−51+500−1−51+5−1−51+5000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000000000
χ654-4-444-44-4-44004-40000000000−1+51−51−5−1+5−1+51−5−1+51−51−5−1+500−1+51−50000000000−1−51+51+5−1−5−1−51+5−1−51+51+5−1−500−1−51+50000000000000000000000000000000000
χ664-4-444-4-222-200-22−2i32i3−2i32i3000000−1+51−51−5−1+5−1+51−51−52−1+52−1+521−52001−52−1+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000−1−51+51+5−1−5−1−51+51+52−1−52−1−521+52001+52−1−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000
χ674-4-444-4-222-200-222i3−2i32i3−2i3000000−1+51−51−5−1+5−1+51−51−52−1+52−1+521−52001−52−1+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000−1−51+51+5−1−5−1−51+51+52−1−52−1−521+52001+52−1−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000
χ684-4-44-444-4-4400-440000000000−1+51−51−5−1+51−5−1+5−1+51−51−5−1+5001−5−1+50000000000−1−51+51+5−1−51+5−1−5−1−51+51+5−1−5001+5−1−50000000000000000000000000000000000
χ694-4-44-44-222-2002-2−2i32i32i3−2i3000000−1+51−51−5−1+51−5−1+51−52−1+52−1+521−5200−1+521−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000−1−51+51+5−1−51+5−1−51+52−1−52−1−521+5200−1−521+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000
χ704-4-44-44-222-2002-22i3−2i3−2i32i3000000−1+51−51−5−1+51−5−1+51−52−1+52−1+521−5200−1+521−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000−1−51+51+5−1−51+5−1−51+52−1−52−1−521+5200−1−521+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000
χ7188-8-800-4-44400000000000000−2+25−2+252−252−25001−51−5−1+5−1+500000000000000−2−25−2−252+252+25001+51+5−1−5−1−500000000000000000000000000000000000000
χ728-88-800-44-4400000000000000−2+252−25−2+252−25001−5−1+51−5−1+500000000000000−2−252+25−2−252+25001+5−1−51+5−1−500000000000000000000000000000000000000
χ73222222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000000000000000000
χ74222222222222222222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52000000000000000000000000
χ752222222222-2-222-2-2-2-22222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52000000000000000000000000
χ762222222222-2-222-2-2-2-2-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52000000000000000000000000
χ772222-2-222222-2-2-222-2-222-2-22-2−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52000000000000000000000000
χ782222-2-222222-2-2-222-2-2-2-222-22−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52000000000000000000000000
χ792222-2-22222-22-2-2-2-22222-2-2-22−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+52000000000000000000000000
χ802222-2-22222-22-2-2-2-222-2-2222-2−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−52000000000000000000000000
χ81444444-2-2-2-244-2-2-2-2-2-2000000−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+52−1−5−1−51+521+521+521+521+521+52000000−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−52−1+5−1+51−521−521−521−521−521−52000000000000000000000000000000
χ82444444-2-2-2-2-4-4-2-22222000000−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+521+51+51+521+52−1−52−1−52−1−52−1−52000000−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−521−51−51−521−52−1+52−1+52−1+52−1+52000000000000000000000000000000
χ834444-4-4-2-2-2-24-422-2-222000000−1−5−1−5−1−5−1−51+51+51+521+521+521+52−1−51+5−1−52−1−521+521+52−1−52−1−52000000−1+5−1+5−1+5−1+51−51−51−521−521−521−52−1+51−5−1+52−1+521−521−52−1+52−1+52000000000000000000000000000000
χ844444-4-4-2-2-2-2-442222-2-2000000−1−5−1−5−1−5−1−51+51+51+521+521+521+521+5−1−5−1−52−1−52−1−52−1−521+521+52000000−1+5−1+5−1+5−1+51−51−51−521−521−521−521−5−1+5−1+52−1+52−1+52−1+521−521−52000000000000000000000000000000
χ8544-4-40044-4-400000000004i−4i00−1−5−1−51+51+500−1−5−1−51+51+50000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900−1+5−1+51−51−500−1+5−1+51−51−50000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000
χ8644-4-40044-4-40000000000−4i4i00−1−5−1−51+51+500−1−5−1−51+51+500000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900−1+5−1+51−51−500−1+5−1+51−51−500000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000
χ874-44-4004-44-4000000004i−4i0000−1−51+5−1−51+500−1−51+5−1−51+500000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000−1+51−5−1+51−500−1+51−5−1+51−500000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000000000
χ884-44-4004-44-400000000−4i4i0000−1−51+5−1−51+500−1−51+5−1−51+5000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−1+51−5−1+51−500−1+51−5−1+51−5000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000000
χ894-4-444-44-4-44004-40000000000−1−51+51+5−1−5−1−51+5−1−51+51+5−1−500−1−51+50000000000−1+51−51−5−1+5−1+51−5−1+51−51−5−1+500−1+51−50000000000000000000000000000000000
χ904-4-444-4-222-200-22−2i32i3−2i32i3000000−1−51+51+5−1−5−1−51+51+52−1−52−1−521+52001+52−1−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000−1+51−51−5−1+5−1+51−51−52−1+52−1+521−52001−52−1+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000
χ914-4-444-4-222-200-222i3−2i32i3−2i3000000−1−51+51+5−1−5−1−51+51+52−1−52−1−521+52001+52−1−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000−1+51−51−5−1+5−1+51−51−52−1+52−1+521−52001−52−1+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000
χ924-4-44-444-4-4400-440000000000−1−51+51+5−1−51+5−1−5−1−51+51+5−1−5001+5−1−50000000000−1+51−51−5−1+51−5−1+5−1+51−51−5−1+5001−5−1+50000000000000000000000000000000000
χ934-4-44-44-222-2002-2−2i32i32i3−2i3000000−1−51+51+5−1−51+5−1−51+52−1−52−1−521+5200−1−521+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000−1+51−51−5−1+51−5−1+51−52−1+52−1+521−5200−1+521−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000
χ944-4-44-44-222-2002-22i3−2i3−2i32i3000000−1−51+51+5−1−51+5−1−51+52−1−52−1−521+5200−1−521+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000−1+51−51−5−1+51−5−1+51−52−1+52−1+521−5200−1+521−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000
χ9588-8-800-4-44400000000000000−2−25−2−252+252+25001+51+5−1−5−1−500000000000000−2+25−2+252−252−25001−51−5−1+5−1+500000000000000000000000000000000000000
χ968-88-800-44-4400000000000000−2−252+25−2−252+25001+5−1−51+5−1−500000000000000−2+252−25−2+252−25001−5−1+51−5−1+500000000000000000000000000000000000000

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