Finite Group Databasebeta

← Group #5294

Character table — Group #5294

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222244441111222222444411112222224444111122222244441111222222444411112222224444
order1244244444248836121261212121212612242436121261212121212612242422442444442488661212612121212126122424661212612121212126122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ4111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ511-1-1-11ii−i−i1-1i−i11-1-1-11ii−i−i1-1i−i11-1-1-11ii−i−i1-1i−i11-1-1-11ii−i−i1-1i−i11-1-1-11ii−i−i1-1i−i11-1-1-11ii−i−i1-1i−i
χ611-1-1-11ii−i−i-11−ii11-1-1-11ii−i−i-11−ii11-1-1-11ii−i−i-11−ii11-1-1-11ii−i−i-11−ii11-1-1-11ii−i−i-11−ii11-1-1-11ii−i−i-11−ii
χ711-1-1-11−i−iii1-1−ii11-1-1-11−i−iii1-1−ii11-1-1-11−i−iii1-1−ii11-1-1-11−i−iii1-1−ii11-1-1-11−i−iii1-1−ii11-1-1-11−i−iii1-1−ii
χ811-1-1-11−i−iii-11i−i11-1-1-11−i−iii-11i−i11-1-1-11−i−iii-11i−i11-1-1-11−i−iii-11i−i11-1-1-11−i−iii-11i−i11-1-1-11−i−iii-11i−i
χ92222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-200000000
χ1022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-200000000
χ112-22i−2i001+i−1−i1−i−1+i00002-22i−2i001+i−1−i1−i−1+i00002-22i−2i001+i−1−i1−i−1+i00002-22i−2i001+i−1−i1−i−1+i00002-22i−2i001+i−1−i1−i−1+i00002-22i−2i001+i−1−i1−i−1+i0000
χ122-22i−2i00−1−i1+i−1+i1−i00002-22i−2i00−1−i1+i−1+i1−i00002-22i−2i00−1−i1+i−1+i1−i00002-22i−2i00−1−i1+i−1+i1−i00002-22i−2i00−1−i1+i−1+i1−i00002-22i−2i00−1−i1+i−1+i1−i0000
χ132-2−2i2i001−i−1+i1+i−1−i00002-2−2i2i001−i−1+i1+i−1−i00002-2−2i2i001−i−1+i1+i−1−i00002-2−2i2i001−i−1+i1+i−1−i00002-2−2i2i001−i−1+i1+i−1−i00002-2−2i2i001−i−1+i1+i−1−i0000
χ142-2−2i2i00−1+i1−i−1−i1+i00002-2−2i2i00−1+i1−i−1−i1+i00002-2−2i2i00−1+i1−i−1−i1+i00002-2−2i2i00−1+i1−i−1−i1+i00002-2−2i2i00−1+i1−i−1−i1+i00002-2−2i2i00−1+i1−i−1−i1+i0000
χ1511111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ161111111111-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111111111-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ17111111-1-1-1-111-1-1−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32111111-1-1-1-111-1-1−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ18111111-1-1-1-1-1-111−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32111111-1-1-1-1-1-111−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ1911-1-1-11ii−i−i1-1i−i−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ1111-1-1-11ii−i−i1-1i−i−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11
χ2011-1-1-11ii−i−i-11−ii−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ1111-1-1-11ii−i−i-11−ii−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11
χ2111-1-1-11−i−iii1-1−ii−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ1111-1-1-11−i−iii1-1−ii−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11
χ2211-1-1-11−i−iii-11i−i−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ1111-1-1-11−i−iii-11i−i−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11
χ232222-2-200000000−1+i3−1+i3−1+i3−1+i31−i31−i300000000−1−i3−1−i3−1−i3−1−i31+i31+i3000000002222-2-200000000−1+i3−1+i3−1+i3−1+i31−i31−i300000000−1−i3−1−i3−1−i3−1−i31+i31+i300000000
χ2422-2-22-200000000−1+i3−1+i31−i31−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i31+i30000000022-2-22-200000000−1+i3−1+i31−i31−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i31+i300000000
χ252-22i−2i001+i−1−i1−i−1+i0000−1+i31−i32ζ7−2ζ700ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ100000−1−i31+i32ζ11−2ζ1100−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ1100002-22i−2i001+i−1−i1−i−1+i0000−1+i31−i32ζ7−2ζ700ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ100000−1−i31+i32ζ11−2ζ1100−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ110000
χ262-22i−2i00−1−i1+i−1+i1−i0000−1+i31−i32ζ7−2ζ700−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ100000−1−i31+i32ζ11−2ζ1100ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ1100002-22i−2i00−1−i1+i−1+i1−i0000−1+i31−i32ζ7−2ζ700−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ100000−1−i31+i32ζ11−2ζ1100ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ110000
χ272-2−2i2i001−i−1+i1+i−1−i0000−1+i31−i3−2ζ72ζ700−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ100000−1−i31+i3−2ζ112ζ1100−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ1100002-2−2i2i001−i−1+i1+i−1−i0000−1+i31−i3−2ζ72ζ700−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ100000−1−i31+i3−2ζ112ζ1100−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ110000
χ282-2−2i2i00−1+i1−i−1−i1+i0000−1+i31−i3−2ζ72ζ700ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ100000−1−i31+i3−2ζ112ζ1100ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ1100002-2−2i2i00−1+i1−i−1−i1+i0000−1+i31−i3−2ζ72ζ700ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ100000−1−i31+i3−2ζ112ζ1100ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ110000
χ2911111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ301111111111-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321111111111-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ31111111-1-1-1-111-1-1−1−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32111111-1-1-1-111-1-1−1−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ32111111-1-1-1-1-1-111−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32111111-1-1-1-1-1-111−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ3311-1-1-11ii−i−i1-1i−i−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ711-1-1-11ii−i−i1-1i−i−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7
χ3411-1-1-11ii−i−i-11−ii−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ711-1-1-11ii−i−i-11−ii−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7
χ3511-1-1-11−i−iii1-1−ii−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ711-1-1-11−i−iii1-1−ii−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7
χ3611-1-1-11−i−iii-11i−i−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ711-1-1-11−i−iii-11i−i−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7
χ372222-2-200000000−1−i3−1−i3−1−i3−1−i31+i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i3000000002222-2-200000000−1−i3−1−i3−1−i3−1−i31+i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i300000000
χ3822-2-22-200000000−1−i3−1−i31+i31+i3−1−i31+i300000000−1+i3−1+i31−i31−i3−1+i31−i30000000022-2-22-200000000−1−i3−1−i31+i31+i3−1−i31+i300000000−1+i3−1+i31−i31−i3−1+i31−i300000000
χ392-22i−2i001+i−1−i1−i−1+i0000−1−i31+i32ζ11−2ζ1100−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ110000−1+i31−i32ζ7−2ζ700ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ1000002-22i−2i001+i−1−i1−i−1+i0000−1−i31+i32ζ11−2ζ1100−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ110000−1+i31−i32ζ7−2ζ700ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ100000
χ402-22i−2i00−1−i1+i−1+i1−i0000−1−i31+i32ζ11−2ζ1100ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ110000−1+i31−i32ζ7−2ζ700−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ1000002-22i−2i00−1−i1+i−1+i1−i0000−1−i31+i32ζ11−2ζ1100ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ110000−1+i31−i32ζ7−2ζ700−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ100000
χ412-2−2i2i001−i−1+i1+i−1−i0000−1−i31+i3−2ζ112ζ1100−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ110000−1+i31−i3−2ζ72ζ700−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ1000002-2−2i2i001−i−1+i1+i−1−i0000−1−i31+i3−2ζ112ζ1100−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ110000−1+i31−i3−2ζ72ζ700−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ100000
χ422-2−2i2i00−1+i1−i−1−i1+i0000−1−i31+i3−2ζ112ζ1100ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ110000−1+i31−i3−2ζ72ζ700ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ1000002-2−2i2i00−1+i1−i−1−i1+i0000−1−i31+i3−2ζ112ζ1100ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ110000−1+i31−i3−2ζ72ζ700ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ100000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ45111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ46111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ4711-1-1-11ii−i−i1-1i−i11-1-1-11ii−i−i1-1i−i11-1-1-11ii−i−i1-1i−i-1-1111-1−i−iii-11−ii-1-1111-1−i−iii-11−ii-1-1111-1−i−iii-11−ii
χ4811-1-1-11ii−i−i-11−ii11-1-1-11ii−i−i-11−ii11-1-1-11ii−i−i-11−ii-1-1111-1−i−iii1-1i−i-1-1111-1−i−iii1-1i−i-1-1111-1−i−iii1-1i−i
χ4911-1-1-11−i−iii1-1−ii11-1-1-11−i−iii1-1−ii11-1-1-11−i−iii1-1−ii-1-1111-1ii−i−i-11i−i-1-1111-1ii−i−i-11i−i-1-1111-1ii−i−i-11i−i
χ5011-1-1-11−i−iii-11i−i11-1-1-11−i−iii-11i−i11-1-1-11−i−iii-11i−i-1-1111-1ii−i−i1-1−ii-1-1111-1ii−i−i1-1−ii-1-1111-1ii−i−i1-1−ii
χ512222-2-2000000002222-2-2000000002222-2-200000000-2-2-2-22200000000-2-2-2-22200000000-2-2-2-22200000000
χ5222-2-22-20000000022-2-22-20000000022-2-22-200000000-2-222-2200000000-2-222-2200000000-2-222-2200000000
χ532-22i−2i001+i−1−i1−i−1+i00002-22i−2i001+i−1−i1−i−1+i00002-22i−2i001+i−1−i1−i−1+i0000-22−2i2i00−1−i1+i−1+i1−i0000-22−2i2i00−1−i1+i−1+i1−i0000-22−2i2i00−1−i1+i−1+i1−i0000
χ542-22i−2i00−1−i1+i−1+i1−i00002-22i−2i00−1−i1+i−1+i1−i00002-22i−2i00−1−i1+i−1+i1−i0000-22−2i2i001+i−1−i1−i−1+i0000-22−2i2i001+i−1−i1−i−1+i0000-22−2i2i001+i−1−i1−i−1+i0000
χ552-2−2i2i001−i−1+i1+i−1−i00002-2−2i2i001−i−1+i1+i−1−i00002-2−2i2i001−i−1+i1+i−1−i0000-222i−2i00−1+i1−i−1−i1+i0000-222i−2i00−1+i1−i−1−i1+i0000-222i−2i00−1+i1−i−1−i1+i0000
χ562-2−2i2i00−1+i1−i−1−i1+i00002-2−2i2i00−1+i1−i−1−i1+i00002-2−2i2i00−1+i1−i−1−i1+i0000-222i−2i001−i−1+i1+i−1−i0000-222i−2i001−i−1+i1+i−1−i0000-222i−2i001−i−1+i1+i−1−i0000
χ5711111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ581111111111-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-111111−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ59111111-1-1-1-111-1-1−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32-1-1-1-1-1-11111-1-1111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ60111111-1-1-1-1-1-111−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32-1-1-1-1-1-1111111-1-11−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ6111-1-1-11ii−i−i1-1i−i−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11-1-1111-1−i−iii-11−ii1−i321−i32−1+i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32−ζ7ζ71+i321+i32−1−i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32−ζ11ζ11
χ6211-1-1-11ii−i−i-11−ii−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11-1-1111-1−i−iii1-1i−i1−i321−i32−1+i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32ζ7−ζ71+i321+i32−1−i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32ζ11−ζ11
χ6311-1-1-11−i−iii1-1−ii−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11-1-1111-1ii−i−i-11i−i1−i321−i32−1+i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ71+i321+i32−1−i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ11
χ6411-1-1-11−i−iii-11i−i−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11-1-1111-1ii−i−i1-1−ii1−i321−i32−1+i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32−ζ7ζ71+i321+i32−1−i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32−ζ11ζ11
χ652222-2-200000000−1+i3−1+i3−1+i3−1+i31−i31−i300000000−1−i3−1−i3−1−i3−1−i31+i31+i300000000-2-2-2-222000000001−i31−i31−i31−i3−1+i3−1+i3000000001+i31+i31+i31+i3−1−i3−1−i300000000
χ6622-2-22-200000000−1+i3−1+i31−i31−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i31+i300000000-2-222-22000000001−i31−i3−1+i3−1+i31−i3−1+i3000000001+i31+i3−1−i3−1−i31+i3−1−i300000000
χ672-22i−2i001+i−1−i1−i−1+i0000−1+i31−i32ζ7−2ζ700ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ100000−1−i31+i32ζ11−2ζ1100−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ110000-22−2i2i00−1−i1+i−1+i1−i00001−i3−1+i3−2ζ72ζ700−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ1000001+i3−1−i3−2ζ112ζ1100ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ110000
χ682-22i−2i00−1−i1+i−1+i1−i0000−1+i31−i32ζ7−2ζ700−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ100000−1−i31+i32ζ11−2ζ1100ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ110000-22−2i2i001+i−1−i1−i−1+i00001−i3−1+i3−2ζ72ζ700ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ1000001+i3−1−i3−2ζ112ζ1100−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ110000
χ692-2−2i2i001−i−1+i1+i−1−i0000−1+i31−i3−2ζ72ζ700−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ100000−1−i31+i3−2ζ112ζ1100−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ110000-222i−2i00−1+i1−i−1−i1+i00001−i3−1+i32ζ7−2ζ700ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ1000001+i3−1−i32ζ11−2ζ1100ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ110000
χ702-2−2i2i00−1+i1−i−1−i1+i0000−1+i31−i3−2ζ72ζ700ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ100000−1−i31+i3−2ζ112ζ1100ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ110000-222i−2i001−i−1+i1+i−1−i00001−i3−1+i32ζ7−2ζ700−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ1000001+i3−1−i32ζ11−2ζ1100−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ110000
χ7111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ721111111111-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-111111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ73111111-1-1-1-111-1-1−1−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32-1-1-1-1-1-11111-1-1111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ74111111-1-1-1-1-1-111−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32-1-1-1-1-1-1111111-1-11+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ7511-1-1-11ii−i−i1-1i−i−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7-1-1111-1−i−iii-11−ii1+i321+i32−1−i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32−ζ11ζ111−i321−i32−1+i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32−ζ7ζ7
χ7611-1-1-11ii−i−i-11−ii−1−i32−1−i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7-1-1111-1−i−iii1-1i−i1+i321+i32−1−i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32ζ11−ζ111−i321−i32−1+i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32ζ7−ζ7
χ7711-1-1-11−i−iii1-1−ii−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7-1-1111-1ii−i−i-11i−i1+i321+i32−1−i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ111−i321−i32−1+i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ7
χ7811-1-1-11−i−iii-11i−i−1−i32−1−i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7-1-1111-1ii−i−i1-1−ii1+i321+i32−1−i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32−ζ11ζ111−i321−i32−1+i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32−ζ7ζ7
χ792222-2-200000000−1−i3−1−i3−1−i3−1−i31+i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i300000000-2-2-2-222000000001+i31+i31+i31+i3−1−i3−1−i3000000001−i31−i31−i31−i3−1+i3−1+i300000000
χ8022-2-22-200000000−1−i3−1−i31+i31+i3−1−i31+i300000000−1+i3−1+i31−i31−i3−1+i31−i300000000-2-222-22000000001+i31+i3−1−i3−1−i31+i3−1−i3000000001−i31−i3−1+i3−1+i31−i3−1+i300000000
χ812-22i−2i001+i−1−i1−i−1+i0000−1−i31+i32ζ11−2ζ1100−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ110000−1+i31−i32ζ7−2ζ700ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ100000-22−2i2i00−1−i1+i−1+i1−i00001+i3−1−i3−2ζ112ζ1100ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ1100001−i3−1+i3−2ζ72ζ700−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ100000
χ822-22i−2i00−1−i1+i−1+i1−i0000−1−i31+i32ζ11−2ζ1100ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ110000−1+i31−i32ζ7−2ζ700−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ100000-22−2i2i001+i−1−i1−i−1+i00001+i3−1−i3−2ζ112ζ1100−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ1100001−i3−1+i3−2ζ72ζ700ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ100000
χ832-2−2i2i001−i−1+i1+i−1−i0000−1−i31+i3−2ζ112ζ1100−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ110000−1+i31−i3−2ζ72ζ700−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ100000-222i−2i00−1+i1−i−1−i1+i00001+i3−1−i32ζ11−2ζ1100ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ1100001−i3−1+i32ζ7−2ζ700ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ100000
χ842-2−2i2i00−1+i1−i−1−i1+i0000−1−i31+i3−2ζ112ζ1100ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ110000−1+i31−i3−2ζ72ζ700ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ100000-222i−2i001−i−1+i1+i−1−i00001+i3−1−i32ζ11−2ζ1100−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ1100001−i3−1+i32ζ7−2ζ700−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ100000

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