Finite Group Databasebeta

← Group #11796449

Character table — Group #11796449

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112444448888822488888161616161633612121212122424242424112444448888822488888161616161633612121212122424242424112444448888822488888161616161633612121212122424242424
order122444442888836612121212126242424242224444428888366121212121262424242436612121212126242424246661212121212624242424366121212121262424242436612121212126242424246661212121212624242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1
χ3111111-1-1-1ii−i−i111111-1-1-1ii−i−i111111-1-1-1ii−i−i111111-1-1-1ii−i−i111111-1-1-1ii−i−i111111-1-1-1ii−i−i111111-1-1-1ii−i−i111111-1-1-1ii−i−i111111-1-1-1ii−i−i
χ4111111-1-1-1−i−iii111111-1-1-1−i−iii111111-1-1-1−i−iii111111-1-1-1−i−iii111111-1-1-1−i−iii111111-1-1-1−i−iii111111-1-1-1−i−iii111111-1-1-1−i−iii111111-1-1-1−i−iii
χ51111-1-111-11-11-11111-1-111-11-11-11111-1-111-11-11-11111-1-111-11-11-11111-1-111-11-11-11111-1-111-11-11-11111-1-111-11-11-11111-1-111-11-11-11111-1-111-11-11-1
χ61111-1-111-1-11-111111-1-111-1-11-111111-1-111-1-11-111111-1-111-1-11-111111-1-111-1-11-111111-1-111-1-11-111111-1-111-1-11-111111-1-111-1-11-111111-1-111-1-11-11
χ71111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii
χ81111-1-1-1-11−iii−i1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i
χ9222-2002-200000222-2002-200000222-2002-200000222-2002-200000222-2002-200000222-2002-200000222-2002-200000222-2002-200000222-2002-200000
χ10222-200-2200000222-200-2200000222-200-2200000222-200-2200000222-200-2200000222-200-2200000222-200-2200000222-200-2200000222-200-2200000
χ1144-4000000000044-4000000000044-4000000000044-4000000000044-4000000000044-4000000000044-4000000000044-4000000000044-40000000000
χ124-4002i−2i00000004-4002i−2i00000004-4002i−2i00000004-4002i−2i00000004-4002i−2i00000004-4002i−2i00000004-4002i−2i00000004-4002i−2i00000004-4002i−2i0000000
χ134-400−2i2i00000004-400−2i2i00000004-400−2i2i00000004-400−2i2i00000004-400−2i2i00000004-400−2i2i00000004-400−2i2i00000004-400−2i2i00000004-400−2i2i0000000
χ1411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ15111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ16111111-1-1-1ii−i−i111111-1-1-1ii−i−i-1-1-1-1-1-1111−i−iii111111-1-1-1ii−i−i111111-1-1-1ii−i−i-1-1-1-1-1-1111−i−iii111111-1-1-1ii−i−i111111-1-1-1ii−i−i-1-1-1-1-1-1111−i−iii
χ17111111-1-1-1−i−iii111111-1-1-1−i−iii-1-1-1-1-1-1111ii−i−i111111-1-1-1−i−iii111111-1-1-1−i−iii-1-1-1-1-1-1111ii−i−i111111-1-1-1−i−iii111111-1-1-1−i−iii-1-1-1-1-1-1111ii−i−i
χ181111-1-111-11-11-11111-1-111-11-11-1-1-1-1-111-1-11-11-111111-1-111-11-11-11111-1-111-11-11-1-1-1-1-111-1-11-11-111111-1-111-11-11-11111-1-111-11-11-1-1-1-1-111-1-11-11-11
χ191111-1-111-1-11-111111-1-111-1-11-11-1-1-1-111-1-111-11-11111-1-111-1-11-111111-1-111-1-11-11-1-1-1-111-1-111-11-11111-1-111-1-11-111111-1-111-1-11-11-1-1-1-111-1-111-11-1
χ201111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii-1-1-1-11111-1−iii−i1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii-1-1-1-11111-1−iii−i1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii-1-1-1-11111-1−iii−i
χ211111-1-1-1-11−iii−i1111-1-1-1-11−iii−i-1-1-1-11111-1i−i−ii1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i-1-1-1-11111-1i−i−ii1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i-1-1-1-11111-1i−i−ii
χ22222-2002-200000222-2002-200000-2-2-2200-2200000222-2002-200000222-2002-200000-2-2-2200-2200000222-2002-200000222-2002-200000-2-2-2200-2200000
χ23222-200-2200000222-200-2200000-2-2-22002-200000222-200-2200000222-200-2200000-2-2-22002-200000222-200-2200000222-200-2200000-2-2-22002-200000
χ2444-4000000000044-40000000000-4-44000000000044-4000000000044-40000000000-4-44000000000044-4000000000044-40000000000-4-440000000000
χ254-4002i−2i00000004-4002i−2i0000000-4400−2i2i00000004-4002i−2i00000004-4002i−2i0000000-4400−2i2i00000004-4002i−2i00000004-4002i−2i0000000-4400−2i2i0000000
χ264-400−2i2i00000004-400−2i2i0000000-44002i−2i00000004-400−2i2i00000004-400−2i2i0000000-44002i−2i00000004-400−2i2i00000004-400−2i2i0000000-44002i−2i0000000
χ272222222222222-1-1-1-1-1-1-1-1-1-1-1-1-100000000000002222222222222-1-1-1-1-1-1-1-1-1-1-1-1-100000000000002222222222222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000
χ28222222222-2-2-2-2-1-1-1-1-1-1-1-1-111110000000000000222222222-2-2-2-2-1-1-1-1-1-1-1-1-111110000000000000222222222-2-2-2-2-1-1-1-1-1-1-1-1-111110000000000000
χ29222222-2-2-22i2i−2i−2i-1-1-1-1-1-1111−i−iii0000000000000222222-2-2-22i2i−2i−2i-1-1-1-1-1-1111−i−iii0000000000000222222-2-2-22i2i−2i−2i-1-1-1-1-1-1111−i−iii0000000000000
χ30222222-2-2-2−2i−2i2i2i-1-1-1-1-1-1111ii−i−i0000000000000222222-2-2-2−2i−2i2i2i-1-1-1-1-1-1111ii−i−i0000000000000222222-2-2-2−2i−2i2i2i-1-1-1-1-1-1111ii−i−i0000000000000
χ312222-2-222-22-22-2-1-1-1-111-1-11-11-1100000000000002222-2-222-22-22-2-1-1-1-111-1-11-11-1100000000000002222-2-222-22-22-2-1-1-1-111-1-11-11-110000000000000
χ322222-2-222-2-22-22-1-1-1-111-1-111-11-100000000000002222-2-222-2-22-22-1-1-1-111-1-111-11-100000000000002222-2-222-2-22-22-1-1-1-111-1-111-11-10000000000000
χ332222-2-2-2-222i−2i−2i2i-1-1-1-11111-1−iii−i00000000000002222-2-2-2-222i−2i−2i2i-1-1-1-11111-1−iii−i00000000000002222-2-2-2-222i−2i−2i2i-1-1-1-11111-1−iii−i0000000000000
χ342222-2-2-2-22−2i2i2i−2i-1-1-1-11111-1i−i−ii00000000000002222-2-2-2-22−2i2i2i−2i-1-1-1-11111-1i−i−ii00000000000002222-2-2-2-22−2i2i2i−2i-1-1-1-11111-1i−i−ii0000000000000
χ35444-4004-400000-2-2-2200-22000000000000000000444-4004-400000-2-2-2200-22000000000000000000444-4004-400000-2-2-2200-22000000000000000000
χ36444-400-4400000-2-2-22002-2000000000000000000444-400-4400000-2-2-22002-2000000000000000000444-400-4400000-2-2-22002-2000000000000000000
χ3788-80000000000-4-440000000000000000000000088-80000000000-4-440000000000000000000000088-80000000000-4-4400000000000000000000000
χ388-8004i−4i0000000-4400−2i2i000000000000000000008-8004i−4i0000000-4400−2i2i000000000000000000008-8004i−4i0000000-4400−2i2i00000000000000000000
χ398-800−4i4i0000000-44002i−2i000000000000000000008-800−4i4i0000000-44002i−2i000000000000000000008-800−4i4i0000000-44002i−2i00000000000000000000
χ40111111111111111111111111111111111111111−1+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−i32−1−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
χ41111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ42111111-1-1-1ii−i−i111111-1-1-1ii−i−i111111-1-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11
χ43111111-1-1-1−i−iii111111-1-1-1−i−iii111111-1-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11
χ441111-1-111-11-11-11111-1-111-11-11-11111-1-111-11-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ451111-1-111-1-11-111111-1-111-1-11-111111-1-111-1-11-11−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i32−1−i321+i32−1−i32
χ461111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ471111-1-1-1-11−iii−i1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ48222-2002-200000222-2002-200000222-2002-200000−1+i3−1+i3−1+i31−i300−1+i31−i300000−1+i3−1+i3−1+i31−i300−1+i31−i300000−1+i3−1+i3−1+i31−i300−1+i31−i300000−1−i3−1−i3−1−i31+i300−1−i31+i300000−1−i3−1−i3−1−i31+i300−1−i31+i300000−1−i3−1−i3−1−i31+i300−1−i31+i300000
χ49222-200-2200000222-200-2200000222-200-2200000−1+i3−1+i3−1+i31−i3001−i3−1+i300000−1+i3−1+i3−1+i31−i3001−i3−1+i300000−1+i3−1+i3−1+i31−i3001−i3−1+i300000−1−i3−1−i3−1−i31+i3001+i3−1−i300000−1−i3−1−i3−1−i31+i3001+i3−1−i300000−1−i3−1−i3−1−i31+i3001+i3−1−i300000
χ5044-4000000000044-4000000000044-40000000000−2+2i3−2+2i32−2i30000000000−2+2i3−2+2i32−2i30000000000−2+2i3−2+2i32−2i30000000000−2−2i3−2−2i32+2i30000000000−2−2i3−2−2i32+2i30000000000−2−2i3−2−2i32+2i30000000000
χ514-4002i−2i00000004-4002i−2i00000004-4002i−2i0000000−2+2i32−2i3002ζ7−2ζ70000000−2+2i32−2i3002ζ7−2ζ70000000−2+2i32−2i3002ζ7−2ζ70000000−2−2i32+2i3002ζ11−2ζ110000000−2−2i32+2i3002ζ11−2ζ110000000−2−2i32+2i3002ζ11−2ζ110000000
χ524-400−2i2i00000004-400−2i2i00000004-400−2i2i0000000−2+2i32−2i300−2ζ72ζ70000000−2+2i32−2i300−2ζ72ζ70000000−2+2i32−2i300−2ζ72ζ70000000−2−2i32+2i300−2ζ112ζ110000000−2−2i32+2i300−2ζ112ζ110000000−2−2i32+2i300−2ζ112ζ110000000
χ5311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
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χ831111-1-111-11-11-11111-1-111-11-11-11111-1-111-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ841111-1-111-1-11-111111-1-111-1-11-111111-1-111-1-11-11−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i32−1+i321−i32−1+i32
χ851111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ861111-1-1-1-11−iii−i1111-1-1-1-11−iii−i1111-1-1-1-11−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ87222-2002-200000222-2002-200000222-2002-200000−1−i3−1−i3−1−i31+i300−1−i31+i300000−1−i3−1−i3−1−i31+i300−1−i31+i300000−1−i3−1−i3−1−i31+i300−1−i31+i300000−1+i3−1+i3−1+i31−i300−1+i31−i300000−1+i3−1+i3−1+i31−i300−1+i31−i300000−1+i3−1+i3−1+i31−i300−1+i31−i300000
χ88222-200-2200000222-200-2200000222-200-2200000−1−i3−1−i3−1−i31+i3001+i3−1−i300000−1−i3−1−i3−1−i31+i3001+i3−1−i300000−1−i3−1−i3−1−i31+i3001+i3−1−i300000−1+i3−1+i3−1+i31−i3001−i3−1+i300000−1+i3−1+i3−1+i31−i3001−i3−1+i300000−1+i3−1+i3−1+i31−i3001−i3−1+i300000
χ8944-4000000000044-4000000000044-40000000000−2−2i3−2−2i32+2i30000000000−2−2i3−2−2i32+2i30000000000−2−2i3−2−2i32+2i30000000000−2+2i3−2+2i32−2i30000000000−2+2i3−2+2i32−2i30000000000−2+2i3−2+2i32−2i30000000000
χ904-4002i−2i00000004-4002i−2i00000004-4002i−2i0000000−2−2i32+2i3002ζ11−2ζ110000000−2−2i32+2i3002ζ11−2ζ110000000−2−2i32+2i3002ζ11−2ζ110000000−2+2i32−2i3002ζ7−2ζ70000000−2+2i32−2i3002ζ7−2ζ70000000−2+2i32−2i3002ζ7−2ζ70000000
χ914-400−2i2i00000004-400−2i2i00000004-400−2i2i0000000−2−2i32+2i300−2ζ112ζ110000000−2−2i32+2i300−2ζ112ζ110000000−2−2i32+2i300−2ζ112ζ110000000−2+2i32−2i300−2ζ72ζ70000000−2+2i32−2i300−2ζ72ζ70000000−2+2i32−2i300−2ζ72ζ70000000
χ9211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ93111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ94111111-1-1-1ii−i−i111111-1-1-1ii−i−i-1-1-1-1-1-1111−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ71−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7
χ95111111-1-1-1−i−iii111111-1-1-1−i−iii-1-1-1-1-1-1111ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ71−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7
χ961111-1-111-11-11-11111-1-111-11-11-1-1-1-1-111-1-11-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ971111-1-111-1-11-111111-1-111-1-11-11-1-1-1-111-1-111-11-1−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32
χ981111-1-1-1-11i−i−ii1111-1-1-1-11i−i−ii-1-1-1-11111-1−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7
χ991111-1-1-1-11−iii−i1111-1-1-1-11−iii−i-1-1-1-11111-1i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
χ100222-2002-200000222-2002-200000-2-2-2200-2200000−1−i3−1−i3−1−i31+i300−1−i31+i300000−1−i3−1−i3−1−i31+i300−1−i31+i3000001+i31+i31+i3−1−i3001+i3−1−i300000−1+i3−1+i3−1+i31−i300−1+i31−i300000−1+i3−1+i3−1+i31−i300−1+i31−i3000001−i31−i31−i3−1+i3001−i3−1+i300000
χ101222-200-2200000222-200-2200000-2-2-22002-200000−1−i3−1−i3−1−i31+i3001+i3−1−i300000−1−i3−1−i3−1−i31+i3001+i3−1−i3000001+i31+i31+i3−1−i300−1−i31+i300000−1+i3−1+i3−1+i31−i3001−i3−1+i300000−1+i3−1+i3−1+i31−i3001−i3−1+i3000001−i31−i31−i3−1+i300−1+i31−i300000
χ10244-4000000000044-40000000000-4-440000000000−2−2i3−2−2i32+2i30000000000−2−2i3−2−2i32+2i300000000002+2i32+2i3−2−2i30000000000−2+2i3−2+2i32−2i30000000000−2+2i3−2+2i32−2i300000000002−2i32−2i3−2+2i30000000000
χ1034-4002i−2i00000004-4002i−2i0000000-4400−2i2i0000000−2−2i32+2i3002ζ11−2ζ110000000−2−2i32+2i3002ζ11−2ζ1100000002+2i3−2−2i300−2ζ112ζ110000000−2+2i32−2i3002ζ7−2ζ70000000−2+2i32−2i3002ζ7−2ζ700000002−2i3−2+2i300−2ζ72ζ70000000
χ1044-400−2i2i00000004-400−2i2i0000000-44002i−2i0000000−2−2i32+2i300−2ζ112ζ110000000−2−2i32+2i300−2ζ112ζ1100000002+2i3−2−2i3002ζ11−2ζ110000000−2+2i32−2i300−2ζ72ζ70000000−2+2i32−2i300−2ζ72ζ700000002−2i3−2+2i3002ζ7−2ζ70000000
χ1052222222222222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000
χ106222222222-2-2-2-2-1-1-1-1-1-1-1-1-111110000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000
χ107222222-2-2-22i2i−2i−2i-1-1-1-1-1-1111−i−iii0000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32ζ112ζ11−2ζ11−2ζ111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ11−ζ11ζ11ζ110000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32ζ72ζ7−2ζ7−2ζ71−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ7−ζ7ζ7ζ70000000000000
χ108222222-2-2-2−2i−2i2i2i-1-1-1-1-1-1111ii−i−i0000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−2ζ11−2ζ112ζ112ζ111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ11ζ11−ζ11−ζ110000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−2ζ7−2ζ72ζ72ζ71−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ7ζ7−ζ7−ζ70000000000000
χ1092222-2-222-22-22-2-1-1-1-111-1-11-11-110000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i320000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i320000000000000
χ1102222-2-222-2-22-22-1-1-1-111-1-111-11-10000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i320000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i320000000000000
χ1112222-2-2-2-222i−2i−2i2i-1-1-1-11111-1−iii−i0000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ110000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ71−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ70000000000000
χ1122222-2-2-2-22−2i2i2i−2i-1-1-1-11111-1i−i−ii0000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ110000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ71−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ70000000000000
χ113444-4004-400000-2-2-2200-22000000000000000000−2−2i3−2−2i3−2−2i32+2i300−2−2i32+2i3000001+i31+i31+i3−1−i3001+i3−1−i3000000000000000000−2+2i3−2+2i3−2+2i32−2i300−2+2i32−2i3000001−i31−i31−i3−1+i3001−i3−1+i3000000000000000000
χ114444-400-4400000-2-2-22002-2000000000000000000−2−2i3−2−2i3−2−2i32+2i3002+2i3−2−2i3000001+i31+i31+i3−1−i300−1−i31+i3000000000000000000−2+2i3−2+2i3−2+2i32−2i3002−2i3−2+2i3000001−i31−i31−i3−1+i300−1+i31−i3000000000000000000
χ11588-80000000000-4-4400000000000000000000000−4−4i3−4−4i34+4i300000000002+2i32+2i3−2−2i300000000000000000000000−4+4i3−4+4i34−4i300000000002−2i32−2i3−2+2i300000000000000000000000
χ1168-8004i−4i0000000-4400−2i2i00000000000000000000−4−4i34+4i3004ζ11−4ζ1100000002+2i3−2−2i300−2ζ112ζ1100000000000000000000−4+4i34−4i3004ζ7−4ζ700000002−2i3−2+2i300−2ζ72ζ700000000000000000000
χ1178-800−4i4i0000000-44002i−2i00000000000000000000−4−4i34+4i300−4ζ114ζ1100000002+2i3−2−2i3002ζ11−2ζ1100000000000000000000−4+4i34−4i300−4ζ74ζ700000002−2i3−2+2i3002ζ7−2ζ700000000000000000000

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