Finite Group Databasebeta

← Group #11921367

Character table — Group #11921367

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444466661212333366666612121212121212121818181836364444888888161616161616161624242424484844448888881616161616161616242424244848
order1244234612122466612121244448822442646121224666121212444488361212631261212612666121212121212122424361212631261212612666121212121212122424
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
χ31111111111-1-11-1-11-1-11111-1-11111111111-1-11-1-11-1-11111-1-11111111111-1-11-1-11-1-11111-1-11111111111-1-11-1-11-1-11111-1-1
χ41111111111-1-11-1-11-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-111
χ511-1-1-1111-1-11-1-1111-1-1ii−i−ii−i11-1-1-1111-1-11-1-1111-1-1ii−i−ii−i11-1-1-1111-1-11-1-1111-1-1ii−i−ii−i11-1-1-1111-1-11-1-1111-1-1ii−i−ii−i
χ611-1-1-1111-1-11-1-1111-1-1−i−iii−ii11-1-1-1111-1-11-1-1111-1-1−i−iii−ii11-1-1-1111-1-11-1-1111-1-1−i−iii−ii11-1-1-1111-1-11-1-1111-1-1−i−iii−ii
χ711-1-1-1111-1-1-11-1-1-1111ii−i−i−ii11-1-1-1111-1-1-11-1-1-1111ii−i−i−ii11-1-1-1111-1-1-11-1-1-1111ii−i−i−ii11-1-1-1111-1-1-11-1-1-1111ii−i−i−ii
χ811-1-1-1111-1-1-11-1-1-1111−i−iiii−i11-1-1-1111-1-1-11-1-1-1111−i−iiii−i11-1-1-1111-1-1-11-1-1-1111−i−iiii−i11-1-1-1111-1-1-11-1-1-1111−i−iiii−i
χ922222-12-1-1-122-1-1-1-1-1-100000022222-12-1-1-122-1-1-1-1-1-100000022222-12-1-1-122-1-1-1-1-1-100000022222-12-1-1-122-1-1-1-1-1-1000000
χ1022222-12-1-1-1-2-2-111-11100000022222-12-1-1-1-2-2-111-11100000022222-12-1-1-1-2-2-111-11100000022222-12-1-1-1-2-2-111-111000000
χ112222-22-222200-200-2000000002222-22-222200-200-2000000002222-22-222200-200-2000000002222-22-222200-200-200000000
χ122222-2-1-2-1-1-1001−i3i31−i3i30000002222-2-1-2-1-1-1001−i3i31−i3i30000002222-2-1-2-1-1-1001−i3i31−i3i30000002222-2-1-2-1-1-1001−i3i31−i3i3000000
χ132222-2-1-2-1-1-1001i3−i31i3−i30000002222-2-1-2-1-1-1001i3−i31i3−i30000002222-2-1-2-1-1-1001i3−i31i3−i30000002222-2-1-2-1-1-1001i3−i31i3−i3000000
χ1422-2-222-22-2-200200-20000000022-2-222-22-2-200200-20000000022-2-222-22-2-200200-20000000022-2-222-22-2-200200-200000000
χ1522-2-22-1-2-11100-1−i3i31i3−i300000022-2-22-1-2-11100-1−i3i31i3−i300000022-2-22-1-2-11100-1−i3i31i3−i300000022-2-22-1-2-11100-1−i3i31i3−i3000000
χ1622-2-22-1-2-11100-1i3−i31−i3i300000022-2-22-1-2-11100-1i3−i31−i3i300000022-2-22-1-2-11100-1i3−i31−i3i300000022-2-22-1-2-11100-1i3−i31−i3i3000000
χ1722-2-2-2-12-1112-21-1-1-11100000022-2-2-2-12-1112-21-1-1-11100000022-2-2-2-12-1112-21-1-1-11100000022-2-2-2-12-1112-21-1-1-111000000
χ1822-2-2-2-12-111-22111-1-1-100000022-2-2-2-12-111-22111-1-1-100000022-2-2-2-12-111-22111-1-1-100000022-2-2-2-12-111-22111-1-1-1000000
χ192-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i00
χ202-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i00
χ212-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i00
χ222-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i00
χ234-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i00000000000000
χ244-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i00000000000000
χ25111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ271111111111-1-11-1-11-1-11111-1-11111111111-1-11-1-11-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ281111111111-1-11-1-11-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ2911-1-1-1111-1-11-1-1111-1-1ii−i−ii−i11-1-1-1111-1-11-1-1111-1-1ii−i−ii−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11−ζ11
χ3011-1-1-1111-1-11-1-1111-1-1−i−iii−ii11-1-1-1111-1-11-1-1111-1-1−i−iii−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11ζ11
χ3111-1-1-1111-1-1-11-1-1-1111ii−i−i−ii11-1-1-1111-1-1-11-1-1-1111ii−i−i−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11ζ11
χ3211-1-1-1111-1-1-11-1-1-1111−i−iiii−i11-1-1-1111-1-1-11-1-1-1111−i−iiii−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11−ζ11
χ3322222-12-1-1-122-1-1-1-1-1-100000022222-12-1-1-122-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ3422222-12-1-1-1-2-2-111-11100000022222-12-1-1-1-2-2-111-111000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i32000000
χ352222-22-222200-200-2000000002222-22-222200-200-200000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3001−i3001−i300000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3001+i3001+i300000000
χ362222-2-1-2-1-1-1001−i3i31−i3i30000002222-2-1-2-1-1-1001−i3i31−i3i3000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i3200−1+i323+i32−3−i32−1+i323+i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i3200−1−i32−3+i323−i32−1−i32−3+i323−i32000000
χ372222-2-1-2-1-1-1001i3−i31i3−i30000002222-2-1-2-1-1-1001i3−i31i3−i3000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i3200−1+i32−3−i323+i32−1+i32−3−i323+i32000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i3200−1−i323−i32−3+i32−1−i323−i32−3+i32000000
χ3822-2-222-22-2-200200-20000000022-2-222-22-2-200200-200000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i300−1+i3001−i300000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i300−1−i3001+i300000000
χ3922-2-22-1-2-11100-1−i3i31i3−i300000022-2-22-1-2-11100-1−i3i31i3−i3000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i32001−i323+i32−3−i32−1+i32−3−i323+i32000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i32001+i32−3+i323−i32−1−i323−i32−3+i32000000
χ4022-2-22-1-2-11100-1i3−i31−i3i300000022-2-22-1-2-11100-1i3−i31−i3i3000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i32001−i32−3−i323+i32−1+i323+i32−3−i32000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i32001+i323−i32−3+i32−1−i32−3+i323−i32000000
χ4122-2-2-2-12-1112-21-1-1-11100000022-2-2-2-12-1112-21-1-1-111000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i31−i3−1+i321−i321−i321−i32−1+i32−1+i32000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i31+i3−1−i321+i321+i321+i32−1−i32−1−i32000000
χ4222-2-2-2-12-111-22111-1-1-100000022-2-2-2-12-111-22111-1-1-1000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i32000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i32000000
χ432-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i00−1+i31−i32ζ7−2ζ70−1+i301−i32ζ7−2ζ700000000ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ1000−1−i31+i32ζ11−2ζ110−1−i301+i32ζ11−2ζ1100000000−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ1100
χ442-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i00−1+i31−i32ζ7−2ζ70−1+i301−i32ζ7−2ζ700000000−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ1000−1−i31+i32ζ11−2ζ110−1−i301+i32ζ11−2ζ1100000000ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ1100
χ452-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i00−1+i31−i3−2ζ72ζ70−1+i301−i3−2ζ72ζ700000000−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ1000−1−i31+i3−2ζ112ζ110−1−i301+i3−2ζ112ζ1100000000−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ1100
χ462-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i00−1+i31−i3−2ζ72ζ70−1+i301−i3−2ζ72ζ700000000ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ1000−1−i31+i3−2ζ112ζ110−1−i301+i3−2ζ112ζ1100000000ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ1100
χ474-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i00000000000000−2+2i32−2i34ζ7−4ζ701−i30−1+i3−2ζ72ζ700000000000000−2−2i32+2i34ζ11−4ζ1101+i30−1−i3−2ζ112ζ1100000000000000
χ484-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i00000000000000−2+2i32−2i3−4ζ74ζ701−i30−1+i32ζ7−2ζ700000000000000−2−2i32+2i3−4ζ114ζ1101+i30−1−i32ζ11−2ζ1100000000000000
χ49111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ511111111111-1-11-1-11-1-11111-1-11111111111-1-11-1-11-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ521111111111-1-11-1-11-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ5311-1-1-1111-1-11-1-1111-1-1ii−i−ii−i11-1-1-1111-1-11-1-1111-1-1ii−i−ii−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7−ζ7
χ5411-1-1-1111-1-11-1-1111-1-1−i−iii−ii11-1-1-1111-1-11-1-1111-1-1−i−iii−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7ζ7
χ5511-1-1-1111-1-1-11-1-1-1111ii−i−i−ii11-1-1-1111-1-1-11-1-1-1111ii−i−i−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7ζ7
χ5611-1-1-1111-1-1-11-1-1-1111−i−iiii−i11-1-1-1111-1-1-11-1-1-1111−i−iiii−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7−ζ7
χ5722222-12-1-1-122-1-1-1-1-1-100000022222-12-1-1-122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ5822222-12-1-1-1-2-2-111-11100000022222-12-1-1-1-2-2-111-111000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i32000000
χ592222-22-222200-200-2000000002222-22-222200-200-200000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3001+i3001+i300000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3001−i3001−i300000000
χ602222-2-1-2-1-1-1001−i3i31−i3i30000002222-2-1-2-1-1-1001−i3i31−i3i3000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i3200−1−i32−3+i323−i32−1−i32−3+i323−i32000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i3200−1+i323+i32−3−i32−1+i323+i32−3−i32000000
χ612222-2-1-2-1-1-1001i3−i31i3−i30000002222-2-1-2-1-1-1001i3−i31i3−i3000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i321+i3200−1−i323−i32−3+i32−1−i323−i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i321−i3200−1+i32−3−i323+i32−1+i32−3−i323+i32000000
χ6222-2-222-22-2-200200-20000000022-2-222-22-2-200200-200000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i300−1−i3001+i300000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i300−1+i3001−i300000000
χ6322-2-22-1-2-11100-1−i3i31i3−i300000022-2-22-1-2-11100-1−i3i31i3−i3000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i32001+i32−3+i323−i32−1−i323−i32−3+i32000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i32001−i323+i32−3−i32−1+i32−3−i323+i32000000
χ6422-2-22-1-2-11100-1i3−i31−i3i300000022-2-22-1-2-11100-1i3−i31−i3i3000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i32001+i323−i32−3+i32−1−i32−3+i323−i32000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i32001−i32−3−i323+i32−1+i323+i32−3−i32000000
χ6522-2-2-2-12-1112-21-1-1-11100000022-2-2-2-12-1112-21-1-1-111000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i31+i3−1−i321+i321+i321+i32−1−i32−1−i32000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i31−i3−1+i321−i321−i321−i32−1+i32−1+i32000000
χ6622-2-2-2-12-111-22111-1-1-100000022-2-2-2-12-111-22111-1-1-1000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i32000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i32000000
χ672-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i00−1−i31+i32ζ11−2ζ110−1−i301+i32ζ11−2ζ1100000000−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ1100−1+i31−i32ζ7−2ζ70−1+i301−i32ζ7−2ζ700000000ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ1000
χ682-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i00−1−i31+i32ζ11−2ζ110−1−i301+i32ζ11−2ζ1100000000ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ1100−1+i31−i32ζ7−2ζ70−1+i301−i32ζ7−2ζ700000000−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ1000
χ692-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i00−1−i31+i3−2ζ112ζ110−1−i301+i3−2ζ112ζ1100000000−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ1100−1+i31−i3−2ζ72ζ70−1+i301−i3−2ζ72ζ700000000−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ1000
χ702-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i00−1−i31+i3−2ζ112ζ110−1−i301+i3−2ζ112ζ1100000000ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ1100−1+i31−i3−2ζ72ζ70−1+i301−i3−2ζ72ζ700000000ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ1000
χ714-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i00000000000000−2−2i32+2i34ζ11−4ζ1101+i30−1−i3−2ζ112ζ1100000000000000−2+2i32−2i34ζ7−4ζ701−i30−1+i3−2ζ72ζ700000000000000
χ724-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i00000000000000−2−2i32+2i3−4ζ114ζ1101+i30−1−i32ζ11−2ζ1100000000000000−2+2i32−2i3−4ζ74ζ701−i30−1+i32ζ7−2ζ700000000000000
χ73333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ74333333333333333333-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000000000000000000000
χ753333333333-3-33-3-33-3-33333-3-3-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-111000000000000000000000000000000000000000000000000
χ763333333333-3-33-3-33-3-3-3-3-3-333-1-1-1-1-1-1-1-1-1-111-111-1111111-1-1000000000000000000000000000000000000000000000000
χ7733-3-3-3333-3-33-3-3333-3-33i3i−3i−3i3i−3i-1-1111-1-1-111-111-1-1-111−i−iii−ii000000000000000000000000000000000000000000000000
χ7833-3-3-3333-3-33-3-3333-3-3−3i−3i3i3i−3i3i-1-1111-1-1-111-111-1-1-111ii−i−ii−i000000000000000000000000000000000000000000000000
χ7933-3-3-3333-3-3-33-3-3-33333i3i−3i−3i−3i3i-1-1111-1-1-1111-1111-1-1-1−i−iiii−i000000000000000000000000000000000000000000000000
χ8033-3-3-3333-3-3-33-3-3-3333−3i−3i3i3i3i−3i-1-1111-1-1-1111-1111-1-1-1ii−i−i−ii000000000000000000000000000000000000000000000000
χ8166666-36-3-3-366-3-3-3-3-3-3000000-2-2-2-2-21-2111-2-2111111000000000000000000000000000000000000000000000000000000
χ8266666-36-3-3-3-6-6-333-333000000-2-2-2-2-21-2111221-1-11-1-1000000000000000000000000000000000000000000000000000000
χ836666-66-666600-600-600000000-2-2-2-22-22-2-2-200200200000000000000000000000000000000000000000000000000000000
χ846666-6-3-6-3-3-3003−3i33i33−3i33i3000000-2-2-2-221211100-1i3−i3-1i3−i3000000000000000000000000000000000000000000000000000000
χ856666-6-3-6-3-3-30033i3−3i333i3−3i3000000-2-2-2-221211100-1−i3i3-1−i3i3000000000000000000000000000000000000000000000000000000
χ8666-6-666-66-6-600600-600000000-2-222-2-22-22200-200200000000000000000000000000000000000000000000000000000000
χ8766-6-66-3-6-33300-3−3i33i333i3−3i3000000-2-222-2121-1-1001i3−i3-1−i3i3000000000000000000000000000000000000000000000000000000
χ8866-6-66-3-6-33300-33i3−3i33−3i33i3000000-2-222-2121-1-1001−i3i3-1i3−i3000000000000000000000000000000000000000000000000000000
χ8966-6-6-6-36-3336-63-3-3-333000000-2-22221-21-1-1-22-1111-1-1000000000000000000000000000000000000000000000000000000
χ9066-6-6-6-36-333-66333-3-3-3000000-2-22221-21-1-12-2-1-1-1111000000000000000000000000000000000000000000000000000000
χ916-66i−6i060-66i−6i000000003+3i−3−3i3−3i−3+3i00-22−2i2i0-202−2i2i00000000−1−i1+i−1+i1−i00000000000000000000000000000000000000000000000000
χ926-66i−6i060-66i−6i00000000−3−3i3+3i−3+3i3−3i00-22−2i2i0-202−2i2i000000001+i−1−i1−i−1+i00000000000000000000000000000000000000000000000000
χ936-6−6i6i060-6−6i6i000000003−3i−3+3i3+3i−3−3i00-222i−2i0-2022i−2i00000000−1+i1−i−1−i1+i00000000000000000000000000000000000000000000000000
χ946-6−6i6i060-6−6i6i00000000−3+3i3−3i−3−3i3+3i00-222i−2i0-2022i−2i000000001−i−1+i1+i−1−i00000000000000000000000000000000000000000000000000
χ9512-1212i−12i0-606−6i6i00000000000000-44−4i4i020-22i−2i00000000000000000000000000000000000000000000000000000000000000
χ9612-12−12i12i0-6066i−6i00000000000000-444i−4i020-2−2i2i00000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.