Finite Group Databasebeta

← Group #11923168

Character table — Group #11923168

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444466661212333366666612121212121212121818181836364444888888161616161616161624242424484844448888881616161616161616242424244848
order12223446664412121212121222442422226446664412121212121222442436663121266612121212121212126612126123666312126661212121212121212661212612
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
χ31111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-1
χ41111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111
χ511111-1-11111-111-1-1-1-111-1-1-1111111-1-11111-111-1-1-1-111-1-1-1111111-1-11111-111-1-1-1-111-1-1-1111111-1-11111-111-1-1-1-111-1-1-11
χ611111-1-11111-111-1-1-1-1-1-1111-111111-1-11111-111-1-1-1-1-1-1111-111111-1-11111-111-1-1-1-1-1-1111-111111-1-11111-111-1-1-1-1-1-1111-1
χ711111-1-1111-11-1-1-1-11111-1-11-111111-1-1111-11-1-1-1-11111-1-11-111111-1-1111-11-1-1-1-11111-1-11-111111-1-1111-11-1-1-1-11111-1-11-1
χ811111-1-1111-11-1-1-1-111-1-111-1111111-1-1111-11-1-1-1-111-1-111-1111111-1-1111-11-1-1-1-111-1-111-1111111-1-1111-11-1-1-1-111-1-111-11
χ92222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000
χ102222-122-1-1-1-2-211-1-1110000002222-122-1-1-1-2-211-1-1110000002222-122-1-1-1-2-211-1-1110000002222-122-1-1-1-2-211-1-111000000
χ112222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-11111000000
χ122222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-1000000
χ1322-2-222i−2i-22-200002i−2i0000000022-2-222i−2i-22-200002i−2i0000000022-2-222i−2i-22-200002i−2i0000000022-2-222i−2i-22-200002i−2i00000000
χ1422-2-22−2i2i-22-20000−2i2i0000000022-2-22−2i2i-22-20000−2i2i0000000022-2-22−2i2i-22-20000−2i2i0000000022-2-22−2i2i-22-20000−2i2i00000000
χ1522-2-2-12i−2i1-1100−i3i3−ii3−300000022-2-2-12i−2i1-1100−i3i3−ii3−300000022-2-2-12i−2i1-1100−i3i3−ii3−300000022-2-2-12i−2i1-1100−i3i3−ii3−3000000
χ1622-2-2-12i−2i1-1100i3−i3−ii−3300000022-2-2-12i−2i1-1100i3−i3−ii−3300000022-2-2-12i−2i1-1100i3−i3−ii−3300000022-2-2-12i−2i1-1100i3−i3−ii−33000000
χ1722-2-2-1−2i2i1-1100−i3i3i−i−3300000022-2-2-1−2i2i1-1100−i3i3i−i−3300000022-2-2-1−2i2i1-1100−i3i3i−i−3300000022-2-2-1−2i2i1-1100−i3i3i−i−33000000
χ1822-2-2-1−2i2i1-1100i3−i3i−i3−300000022-2-2-1−2i2i1-1100i3−i3i−i3−300000022-2-2-1−2i2i1-1100i3−i3i−i3−300000022-2-2-1−2i2i1-1100i3−i3i−i3−3000000
χ192-22-22002-2-200000000002i−2i002-22-22002-2-200000000002i−2i002-22-22002-2-200000000002i−2i002-22-22002-2-200000000002i−2i00
χ202-22-22002-2-20000000000−2i2i002-22-22002-2-20000000000−2i2i002-22-22002-2-20000000000−2i2i002-22-22002-2-20000000000−2i2i00
χ212-2-22200-2-22000000002-200002-2-22200-2-22000000002-200002-2-22200-2-22000000002-200002-2-22200-2-22000000002-20000
χ222-2-22200-2-2200000000-2200002-2-22200-2-2200000000-2200002-2-22200-2-2200000000-2200002-2-22200-2-2200000000-220000
χ234-44-4-200-222000000000000004-44-4-200-222000000000000004-44-4-200-222000000000000004-44-4-200-22200000000000000
χ244-4-44-20022-2000000000000004-4-44-20022-2000000000000004-4-44-20022-2000000000000004-4-44-20022-200000000000000
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
χ271111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ281111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ2911111-1-11111-111-1-1-1-111-1-1-1111111-1-11111-111-1-1-1-111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ3011111-1-11111-111-1-1-1-1-1-1111-111111-1-11111-111-1-1-1-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ3111111-1-1111-11-1-1-1-11111-1-11-111111-1-1111-11-1-1-1-11111-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32
χ3211111-1-1111-11-1-1-1-111-1-111-1111111-1-1111-11-1-1-1-111-1-111-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ332222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ342222-122-1-1-1-2-211-1-1110000002222-122-1-1-1-2-211-1-111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32000000
χ352222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-11111000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ362222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-1000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i32000000
χ3722-2-222i−2i-22-200002i−2i0000000022-2-222i−2i-22-200002i−2i00000000−1+i3−1+i31−i31−i3−1+i32ζ7−2ζ71−i3−1+i31−i300002ζ7−2ζ700000000−1−i3−1−i31+i31+i3−1−i32ζ11−2ζ111+i3−1−i31+i300002ζ11−2ζ1100000000
χ3822-2-22−2i2i-22-20000−2i2i0000000022-2-22−2i2i-22-20000−2i2i00000000−1+i3−1+i31−i31−i3−1+i3−2ζ72ζ71−i3−1+i31−i30000−2ζ72ζ700000000−1−i3−1−i31+i31+i3−1−i3−2ζ112ζ111+i3−1−i31+i30000−2ζ112ζ1100000000
χ3922-2-2-12i−2i1-1100−i3i3−ii3−300000022-2-2-12i−2i1-1100−i3i3−ii3−3000000−1+i3−1+i31−i31−i31−i322ζ7−2ζ7−1+i321−i32−1+i32003+i32−3−i32−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11000000−1−i3−1−i31+i31+i31+i322ζ11−2ζ11−1−i321+i32−1−i3200−3+i323−i32−ζ11ζ112ζ7+ζ11−2ζ7−ζ11000000
χ4022-2-2-12i−2i1-1100i3−i3−ii−3300000022-2-2-12i−2i1-1100i3−i3−ii−33000000−1+i3−1+i31−i31−i31−i322ζ7−2ζ7−1+i321−i32−1+i3200−3−i323+i32−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11000000−1−i3−1−i31+i31+i31+i322ζ11−2ζ11−1−i321+i32−1−i32003−i32−3+i32−ζ11ζ11−2ζ7−ζ112ζ7+ζ11000000
χ4122-2-2-1−2i2i1-1100−i3i3i−i−3300000022-2-2-1−2i2i1-1100−i3i3i−i−33000000−1+i3−1+i31−i31−i31−i32−2ζ72ζ7−1+i321−i32−1+i32003+i32−3−i32ζ7−ζ7ζ7+2ζ11−ζ7−2ζ11000000−1−i3−1−i31+i31+i31+i32−2ζ112ζ11−1−i321+i32−1−i3200−3+i323−i32ζ11−ζ11−2ζ7−ζ112ζ7+ζ11000000
χ4222-2-2-1−2i2i1-1100i3−i3i−i3−300000022-2-2-1−2i2i1-1100i3−i3i−i3−3000000−1+i3−1+i31−i31−i31−i32−2ζ72ζ7−1+i321−i32−1+i3200−3−i323+i32ζ7−ζ7−ζ7−2ζ11ζ7+2ζ11000000−1−i3−1−i31+i31+i31+i32−2ζ112ζ11−1−i321+i32−1−i32003−i32−3+i32ζ11−ζ112ζ7+ζ11−2ζ7−ζ11000000
χ432-22-22002-2-200000000002i−2i002-22-22002-2-200000000002i−2i00−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i300000000002ζ7−2ζ700−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i300000000002ζ11−2ζ1100
χ442-22-22002-2-20000000000−2i2i002-22-22002-2-20000000000−2i2i00−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i30000000000−2ζ72ζ700−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i30000000000−2ζ112ζ1100
χ452-2-22200-2-22000000002-200002-2-22200-2-22000000002-20000−1+i31−i31−i3−1+i3−1+i3001−i31−i3−1+i300000000−1+i31−i30000−1−i31+i31+i3−1−i3−1−i3001+i31+i3−1−i300000000−1−i31+i30000
χ462-2-22200-2-2200000000-2200002-2-22200-2-2200000000-220000−1+i31−i31−i3−1+i3−1+i3001−i31−i3−1+i3000000001−i3−1+i30000−1−i31+i31+i3−1−i3−1−i3001+i31+i3−1−i3000000001+i3−1−i30000
χ474-44-4-200-222000000000000004-44-4-200-22200000000000000−2+2i32−2i3−2+2i32−2i31−i3001−i3−1+i3−1+i300000000000000−2−2i32+2i3−2−2i32+2i31+i3001+i3−1−i3−1−i300000000000000
χ484-4-44-20022-2000000000000004-4-44-20022-200000000000000−2+2i32−2i32−2i3−2+2i31−i300−1+i3−1+i31−i300000000000000−2−2i32+2i32+2i3−2−2i31+i300−1−i3−1−i31+i300000000000000
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
χ511111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ521111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ5311111-1-11111-111-1-1-1-111-1-1-1111111-1-11111-111-1-1-1-111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ5411111-1-11111-111-1-1-1-1-1-1111-111111-1-11111-111-1-1-1-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ5511111-1-1111-11-1-1-1-11111-1-11-111111-1-1111-11-1-1-1-11111-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32
χ5611111-1-1111-11-1-1-1-111-1-111-1111111-1-1111-11-1-1-1-111-1-111-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ572222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ582222-122-1-1-1-2-211-1-1110000002222-122-1-1-1-2-211-1-111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32000000
χ592222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-11111000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ602222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-1000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i32000000
χ6122-2-222i−2i-22-200002i−2i0000000022-2-222i−2i-22-200002i−2i00000000−1−i3−1−i31+i31+i3−1−i32ζ11−2ζ111+i3−1−i31+i300002ζ11−2ζ1100000000−1+i3−1+i31−i31−i3−1+i32ζ7−2ζ71−i3−1+i31−i300002ζ7−2ζ700000000
χ6222-2-22−2i2i-22-20000−2i2i0000000022-2-22−2i2i-22-20000−2i2i00000000−1−i3−1−i31+i31+i3−1−i3−2ζ112ζ111+i3−1−i31+i30000−2ζ112ζ1100000000−1+i3−1+i31−i31−i3−1+i3−2ζ72ζ71−i3−1+i31−i30000−2ζ72ζ700000000
χ6322-2-2-12i−2i1-1100−i3i3−ii3−300000022-2-2-12i−2i1-1100−i3i3−ii3−3000000−1−i3−1−i31+i31+i31+i322ζ11−2ζ11−1−i321+i32−1−i3200−3+i323−i32−ζ11ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i3−1+i31−i31−i31−i322ζ7−2ζ7−1+i321−i32−1+i32003+i32−3−i32−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11000000
χ6422-2-2-12i−2i1-1100i3−i3−ii−3300000022-2-2-12i−2i1-1100i3−i3−ii−33000000−1−i3−1−i31+i31+i31+i322ζ11−2ζ11−1−i321+i32−1−i32003−i32−3+i32−ζ11ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i3−1+i31−i31−i31−i322ζ7−2ζ7−1+i321−i32−1+i3200−3−i323+i32−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11000000
χ6522-2-2-1−2i2i1-1100−i3i3i−i−3300000022-2-2-1−2i2i1-1100−i3i3i−i−33000000−1−i3−1−i31+i31+i31+i32−2ζ112ζ11−1−i321+i32−1−i3200−3+i323−i32ζ11−ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i3−1+i31−i31−i31−i32−2ζ72ζ7−1+i321−i32−1+i32003+i32−3−i32ζ7−ζ7ζ7+2ζ11−ζ7−2ζ11000000
χ6622-2-2-1−2i2i1-1100i3−i3i−i3−300000022-2-2-1−2i2i1-1100i3−i3i−i3−3000000−1−i3−1−i31+i31+i31+i32−2ζ112ζ11−1−i321+i32−1−i32003−i32−3+i32ζ11−ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i3−1+i31−i31−i31−i32−2ζ72ζ7−1+i321−i32−1+i3200−3−i323+i32ζ7−ζ7−ζ7−2ζ11ζ7+2ζ11000000
χ672-22-22002-2-200000000002i−2i002-22-22002-2-200000000002i−2i00−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i300000000002ζ11−2ζ1100−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i300000000002ζ7−2ζ700
χ682-22-22002-2-20000000000−2i2i002-22-22002-2-20000000000−2i2i00−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i30000000000−2ζ112ζ1100−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i30000000000−2ζ72ζ700
χ692-2-22200-2-22000000002-200002-2-22200-2-22000000002-20000−1−i31+i31+i3−1−i3−1−i3001+i31+i3−1−i300000000−1−i31+i30000−1+i31−i31−i3−1+i3−1+i3001−i31−i3−1+i300000000−1+i31−i30000
χ702-2-22200-2-2200000000-2200002-2-22200-2-2200000000-220000−1−i31+i31+i3−1−i3−1−i3001+i31+i3−1−i3000000001+i3−1−i30000−1+i31−i31−i3−1+i3−1+i3001−i31−i3−1+i3000000001−i3−1+i30000
χ714-44-4-200-222000000000000004-44-4-200-22200000000000000−2−2i32+2i3−2−2i32+2i31+i3001+i3−1−i3−1−i300000000000000−2+2i32−2i3−2+2i32−2i31−i3001−i3−1+i3−1+i300000000000000
χ724-4-44-20022-2000000000000004-4-44-20022-200000000000000−2−2i32+2i32+2i3−2−2i31+i300−1−i3−1−i31+i300000000000000−2+2i32−2i32−2i3−2+2i31−i300−1+i3−1+i31−i300000000000000
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
χ753333333333-3-3-3-333-3-33333-3-3-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111000000000000000000000000000000000000000000000000
χ763333333333-3-3-3-333-3-3-3-3-3-333-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1000000000000000000000000000000000000000000000000
χ7733333-3-33333-333-3-3-3-333-3-3-33-1-1-1-1-111-1-1-1-11-1-11111-1-1111-1000000000000000000000000000000000000000000000000
χ7833333-3-33333-333-3-3-3-3-3-3333-3-1-1-1-1-111-1-1-1-11-1-1111111-1-1-11000000000000000000000000000000000000000000000000
χ7933333-3-3333-33-3-3-3-33333-3-33-3-1-1-1-1-111-1-1-11-11111-1-1-1-111-11000000000000000000000000000000000000000000000000
χ8033333-3-3333-33-3-3-3-333-3-333-33-1-1-1-1-111-1-1-11-11111-1-111-1-11-1000000000000000000000000000000000000000000000000
χ816666-366-3-3-366-3-3-3-3-3-3000000-2-2-2-21-2-2111-2-2111111000000000000000000000000000000000000000000000000000000
χ826666-366-3-3-3-6-633-3-333000000-2-2-2-21-2-211122-1-111-1-1000000000000000000000000000000000000000000000000000000
χ836666-3-6-6-3-3-36-6-3-33333000000-2-2-2-2122111-2211-1-1-1-1000000000000000000000000000000000000000000000000000000
χ846666-3-6-6-3-3-3-663333-3-3000000-2-2-2-21221112-2-1-1-1-111000000000000000000000000000000000000000000000000000000
χ8566-6-666i−6i-66-600006i−6i00000000-2-222-2−2i2i2-220000−2i2i00000000000000000000000000000000000000000000000000000000
χ8666-6-66−6i6i-66-60000−6i6i00000000-2-222-22i−2i2-2200002i−2i00000000000000000000000000000000000000000000000000000000
χ8766-6-6-36i−6i3-3300−3i33i3−3i3i33−33000000-2-2221−2i2i-11-100i3−i3i−i−33000000000000000000000000000000000000000000000000000000
χ8866-6-6-36i−6i3-33003i3−3i3−3i3i−3333000000-2-2221−2i2i-11-100−i3i3i−i3−3000000000000000000000000000000000000000000000000000000
χ8966-6-6-3−6i6i3-3300−3i33i33i−3i−3333000000-2-22212i−2i-11-100i3−i3−ii3−3000000000000000000000000000000000000000000000000000000
χ9066-6-6-3−6i6i3-33003i3−3i33i−3i33−33000000-2-22212i−2i-11-100−i3i3−ii−33000000000000000000000000000000000000000000000000000000
χ916-66-66006-6-600000000006i−6i00-22-22-200-2220000000000−2i2i00000000000000000000000000000000000000000000000000
χ926-66-66006-6-60000000000−6i6i00-22-22-200-22200000000002i−2i00000000000000000000000000000000000000000000000000
χ936-6-66600-6-66000000006-60000-222-2-20022-200000000-220000000000000000000000000000000000000000000000000000
χ946-6-66600-6-6600000000-660000-222-2-20022-2000000002-20000000000000000000000000000000000000000000000000000
χ9512-1212-12-600-66600000000000000-44-442002-2-200000000000000000000000000000000000000000000000000000000000000
χ9612-12-1212-60066-600000000000000-444-4200-2-2200000000000000000000000000000000000000000000000000000000000000

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