Finite Group Databasebeta

← Group #11754792

Character table — Group #11754792

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222224444444444444444444466888888888888888810101010101010101010121212121212121212121220202020202020242424243030606060
order12222235566610101010101024666610101010121215153030303030304410102020303030303030303060606060224444121212122442020202020202020466121212121010202044444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111-1-111-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-111111111-11111-1-1-1-1-1-1-1-111-1
χ6111111111111111111-1-111-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1111111111-1-1-1-111-1-1-1-111-1-11
χ7111111111111111111-1-111-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ8111111111111111111-1-111-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1
χ91111-1-11111111111111-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-1-11111-1-1-1-1-111
χ101111-1-11111111111111-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-111-1-111-1-1111-1-1
χ111111-1-11111111111111-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1
χ121111-1-11111111111111-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-111-1-1-1-11111-1-1-111-1-1-1-111-1-1-111
χ131111-1-1111111111111-11-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-111111-1-1-1-1-111-1-1-1-1-1-11111-11-1
χ141111-1-1111111111111-11-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-1-1-11-1-11111-1-111-1-11-11
χ151111-1-1111111111111-11-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-11111-111-1-1-1-111-1-1-1-11-11
χ161111-1-1111111111111-11-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-111111-1-1111111-1-111-11-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+520000000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+5200000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−5200000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−5200000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000002-221+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+5200000
χ212222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−520000000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−5200000
χ222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+5200000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+5200000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000002-221−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−5200000
χ25222222-122-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000000002-1-1-1-1-1-1000000000
χ26222222-122-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000000-2111111000000000
χ27222222-122-1-1-1222222-2-2-1-111222211-1-1-1-1-1-1-1-100-2-2-2-2-1-1-1-1111111112222-2-2111100000000000-2-1-1-1-111000000000
χ28222222-122-1-1-1222222-2-2-1-111222211-1-1-1-1-1-1-1-100-2-2-2-2-1-1-1-111111111-2-2-2-222-1-1-1-10000000000021111-1-1000000000
χ292222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2221+521+521−521−52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−5200000
χ302222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2221+521+521−521−52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000-2221+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+5200000
χ312222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2-21+521+521−521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000-2-22−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+5200000
χ322222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2-21+521+521−521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000022-21+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−5200000
χ332222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2221−521−521+521+52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000002-2-2−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+5200000
χ342222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2221−521−521+521+52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000-2221−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−5200000
χ352222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2-21−521−521+521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000-2-22−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−5200000
χ362222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2-21−521−521+521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000022-21−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+5200000
χ372222-2-2-122-1-1-12222222-211-1-1-2-2-2-211-1-1-1-1-1-1-1-10022-2-21111-1-1-1-1111122-2-2-2-21111000000000002-1-111-1-1000000000
χ382222-2-2-122-1-1-12222222-211-1-1-2-2-2-211-1-1-1-1-1-1-1-10022-2-21111-1-1-1-11111-2-22222-1-1-1-100000000000-211-1-111000000000
χ392222-2-2-122-1-1-1222222-221111-2-2-2-2-1-1-1-1-1-1-1-1-1-100-2-22211111111-1-1-1-122-2-222-1-1-1-100000000000-2-1-11111000000000
χ402222-2-2-122-1-1-1222222-221111-2-2-2-2-1-1-1-1-1-1-1-1-1-100-2-22211111111-1-1-1-1-2-222-2-2111100000000000211-1-1-1-1000000000
χ412-22-2002222-2-2-2-2-2-222000000000000222-22-2-2-22-2000000000000000000002i−2i2i2i−2i−2i0002-22-20000000000000002i−2i000
χ422-22-2002222-2-2-2-2-2-222000000000000222-22-2-2-22-200000000000000000000−2i2i−2i−2i2i2i0002-22-2000000000000000−2i2i000
χ432-22-2002222-2-2-2-2-2-222000000000000222-22-2-2-2-22000000000000000000002i−2i2i2i−2i−2i000-22-22000000000000000−2i2i000
χ442-22-2002222-2-2-2-2-2-222000000000000222-22-2-2-2-2200000000000000000000−2i2i−2i−2i2i2i000-22-220000000000000002i−2i000
χ452-2-222-2222-2-22-2-222-2-2002-2002-22-20022-2-2-2-2220000002-22-2000000002-22-20000000000000000002-22-200000000000
χ462-2-222-2222-2-22-2-222-2-2002-2002-22-20022-2-2-2-2220000002-22-200000000-22-22000000000000000000-22-2200000000000
χ472-2-222-2-12211-1-2-222-2-200-11−i3i32-22-2−i3i3-1-11111-1-1000000-11-11−i3i3−i3i3−i3i3−i3i32-22-200−i3i3−i3i3000000000000-11-11−i3i3000000000
χ482-2-222-2-12211-1-2-222-2-200-11−i3i32-22-2−i3i3-1-11111-1-1000000-11-11−i3i3−i3i3−i3i3−i3i3-22-2200i3−i3i3−i30000000000001-11-1i3−i3000000000
χ492-2-222-2-12211-1-2-222-2-200-11i3−i32-22-2i3−i3-1-11111-1-1000000-11-11i3−i3i3−i3i3−i3i3−i32-22-200i3−i3i3−i3000000000000-11-11i3−i3000000000
χ502-2-222-2-12211-1-2-222-2-200-11i3−i32-22-2i3−i3-1-11111-1-1000000-11-11i3−i3i3−i3i3−i3i3−i3-22-2200−i3i3−i3i30000000000001-11-1−i3i3000000000
χ512-2-22-22222-2-22-2-222-2-200-2200-22-220022-2-2-2-222000000-22-22000000002-2-220000000000000000002-2-2200000000000
χ522-2-22-22222-2-22-2-222-2-200-2200-22-220022-2-2-2-222000000-22-2200000000-222-2000000000000000000-222-200000000000
χ532-2-22-22-12211-1-2-222-2-2001-1−i3i3-22-22i3−i3-1-11111-1-10000001-11-1−i3i3−i3i3i3−i3i3−i32-2-2200i3−i3i3−i3000000000000-111-1−i3i3000000000
χ542-2-22-22-12211-1-2-222-2-2001-1−i3i3-22-22i3−i3-1-11111-1-10000001-11-1−i3i3−i3i3i3−i3i3−i3-222-200−i3i3−i3i30000000000001-1-11i3−i3000000000
χ552-2-22-22-12211-1-2-222-2-2001-1i3−i3-22-22−i3i3-1-11111-1-10000001-11-1i3−i3i3−i3−i3i3−i3i32-2-2200−i3i3−i3i3000000000000-111-1i3−i3000000000
χ562-2-22-22-12211-1-2-222-2-2001-1i3−i3-22-22−i3i3-1-11111-1-10000001-11-1i3−i3i3−i3−i3i3−i3i3-222-200i3−i3i3−i30000000000001-1-11−i3i3000000000
χ57444444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-2-2-2−1−5−1−5−1+5−1+5-2-21+521−521+521+521−521−521+521−5200−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000000000000000000000
χ58444444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-222−1−5−1−5−1+5−1+5221+521−521+521+521−521−521+521−52001+51−51+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000
χ59444444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−544-2-2-2-2−1+5−1+5−1−5−1−5-2-21−521+521−521−521+521+521−521+5200−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+520000000000000000000000000000000000000
χ60444444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-4-2-222−1+5−1+5−1−5−1−5221−521+521−521−521+521+521−521+52001−51+51−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000
χ614444-4-4-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+54-422-2-21+51+51−51−5221+521−521+521+521−521−521+521−5200−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000000
χ624444-4-4-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4422221+51+51−51−5-2-21+521−521+521+521−521−521+521−52001+51−5−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000000
χ634444-4-4-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−54-422-2-21−51−51+51+5221−521+521−521−521+521+521−521+5200−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000000
χ644444-4-4-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4422221−51−51+51+5-2-21−521+521−521−521+521+521−521+52001−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000000
χ6544-4-400444-44-444-4-4-4-400000000000044-44-44-4-40000000000000000000000000000000000000000000000000000000
χ6644-4-4004−1−5−1+5-44-4−1−5−1+51+51−51+51−5000000000000−1−5−1+51+5−1−51−5−1+51+51−500000000000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000
χ6744-4-4004−1−5−1+5-44-4−1−5−1+51+51−51+51−5000000000000−1−5−1+51+5−1−51−5−1+51+51−5000000000000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000
χ6844-4-4004−1+5−1−5-44-4−1+5−1−51−51+51−51+5000000000000−1+5−1−51−5−1+51+5−1−51−51+5000000000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000
χ6944-4-4004−1+5−1−5-44-4−1+5−1−51−51+51−51+5000000000000−1+5−1−51−5−1+51+5−1−51−51+500000000000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000
χ7044-4-400-2442-2244-4-4-4-4000000000000-2-22-22-22200000000000000000000000023−23−2323000000000000000000000000000
χ7144-4-400-2442-2244-4-4-4-4000000000000-2-22-22-222000000000000000000000000−232323−23000000000000000000000000000
χ724-44-4004−1−5−1+54-4-41+51−51+51−5−1−5−1+5000000000000−1−5−1+5−1−51+5−1+51−51+51−54-400000000000000000000000000000−1−51+5−1+51−500000000000000000000
χ734-44-4004−1−5−1+54-4-41+51−51+51−5−1−5−1+5000000000000−1−5−1+5−1−51+5−1+51−51+51−5-44000000000000000000000000000001+5−1−51−5−1+500000000000000000000
χ744-44-4004−1+5−1−54-4-41−51+51−51+5−1+5−1−5000000000000−1+5−1−5−1+51−5−1−51+51−51+54-400000000000000000000000000000−1+51−5−1−51+500000000000000000000
χ754-44-4004−1+5−1−54-4-41−51+51−51+5−1+5−1−5000000000000−1+5−1−5−1+51−5−1−51+51−51+5-44000000000000000000000000000001−5−1+51+5−1−500000000000000000000
χ764-44-400-244-222-4-4-4-444000000000000-2-2-22-222200000000000000000000004i−4i−2i−2i2i2i000000000000000000000000000
χ774-44-400-244-222-4-4-4-444000000000000-2-2-22-22220000000000000000000000−4i4i2i2i−2i−2i000000000000000000000000000
χ784-4-444-44−1−5−1+5-4-441+51−5−1−5−1+51+51−5004-400−1−51+5−1+51−500−1−5−1+51+51+51−51−5−1−5−1+5000000−1−51+5−1+51−5000000000000000000000000000000000000000000000
χ794-4-444-44−1+5−1−5-4-441−51+5−1+5−1−51−51+5004-400−1+51−5−1−51+500−1+5−1−51−51−51+51+5−1+5−1−5000000−1+51−5−1−51+5000000000000000000000000000000000000000000000
χ804-4-444-4-2−1−5−1+522-21+51−5−1−5−1+51+51−500-22−2i32i3−1−51+5−1+51−5−2i32i31+521−52−1−52−1−52−1+52−1+521+521−520000001+52−1−521−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000000000000
χ814-4-444-4-2−1−5−1+522-21+51−5−1−5−1+51+51−500-222i3−2i3−1−51+5−1+51−52i3−2i31+521−52−1−52−1−52−1+52−1+521+521−520000001+52−1−521−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000000000000000
χ824-4-444-4-2−1+5−1−522-21−51+5−1+5−1−51−51+500-22−2i32i3−1+51−5−1−51+5−2i32i31−521+52−1+52−1+52−1−52−1−521−521+520000001−52−1+521+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000000000000000000000
χ834-4-444-4-2−1+5−1−522-21−51+5−1+5−1−51−51+500-222i3−2i3−1+51−5−1−51+52i3−2i31−521+52−1+52−1+52−1−52−1−521−521+520000001−52−1+521+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000000000000
χ844-4-44-444−1−5−1+5-4-441+51−5−1−5−1+51+51−500-44001+5−1−51−5−1+500−1−5−1+51+51+51−51−5−1−5−1+50000001+5−1−51−5−1+5000000000000000000000000000000000000000000000
χ854-4-44-444−1+5−1−5-4-441−51+5−1+5−1−51−51+500-44001−5−1+51+5−1−500−1+5−1−51−51−51+51+5−1+5−1−50000001−5−1+51+5−1−5000000000000000000000000000000000000000000000
χ864-4-44-44-2−1−5−1+522-21+51−5−1−5−1+51+51−5002-2−2i32i31+5−1−51−5−1+52i3−2i31+521−52−1−52−1−52−1+52−1+521+521−52000000−1−521+52−1+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000000000000000
χ874-4-44-44-2−1−5−1+522-21+51−5−1−5−1+51+51−5002-22i3−2i31+5−1−51−5−1+5−2i32i31+521−52−1−52−1−52−1+52−1+521+521−52000000−1−521+52−1+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000000000000
χ884-4-44-44-2−1+5−1−522-21−51+5−1+5−1−51−51+5002-2−2i32i31−5−1+51+5−1−52i3−2i31−521+52−1+52−1+52−1−52−1−521−521+52000000−1+521−52−1−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000000000000
χ894-4-44-44-2−1+5−1−522-21−51+5−1+5−1−51−51+5002-22i3−2i31−5−1+51+5−1−5−2i32i31−521+52−1+52−1+52−1−52−1−521−521+52000000−1+521−52−1−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000000000000000000000
χ9088-8-800-4−2−25−2+254-44−2−25−2+252+252−252+252−250000000000001+51−5−1−51+5−1+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000
χ9188-8-800-4−2+25−2−254-44−2+25−2−252−252+252−252+250000000000001−51+5−1+51−5−1−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000
χ928-88-800-4−2−25−2+25-4442+252−252+252−25−2−25−2+250000000000001+51−51+5−1−51−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000
χ938-88-800-4−2+25−2−25-4442−252+252−252+25−2+25−2−250000000000001−51+51−5−1+51+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000

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