Finite Group Databasebeta

← Group #13085367

Character table — Group #13085367

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111120202020202020202020242424243030303030301111202020202020202020202424242430303030303011112020202020202020202024242424303030303030
order122234466612121212510101044888836663121266612121212153030301212242424243666312126661212121215303030121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111-1-1111-1-1-1-1111111-1-1-1-111111-1-1111-1-1-1-1111111-1-1-1-111111-1-1111-1-1-1-1111111-1-1-1-1
χ31-1-111i−i1-1-1ii−i−i11-1-11-1ii−i−i1-1-111i−i1-1-1ii−i−i11-1-11-1ii−i−i1-1-111i−i1-1-1ii−i−i11-1-11-1ii−i−i
χ41-1-111−ii1-1-1−i−iii11-1-11-1−i−iii1-1-111−ii1-1-1−i−iii11-1-11-1−i−iii1-1-111−ii1-1-1−i−iii11-1-11-1−i−iii
χ54444122111-1-1-1-1-1-1-1-10000004444122111-1-1-1-1-1-1-1-10000004444122111-1-1-1-1-1-1-1-1000000
χ644441-2-21111111-1-1-1-100000044441-2-21111111-1-1-1-100000044441-2-21111111-1-1-1-1000000
χ744-4-4100-11-13−33−3-111-100000044-4-4100-11-13−33−3-111-100000044-4-4100-11-13−33−3-111-1000000
χ844-4-4100-11-1−33−33-111-100000044-4-4100-11-1−33−33-111-100000044-4-4100-11-1−33−33-111-1000000
χ944-4-4-2002-220000-111-100000044-4-4-2002-220000-111-100000044-4-4-2002-220000-111-1000000
χ104-44-4100-1-11−i3i3i3−i3-11-110000004-44-4100-1-11−i3i3i3−i3-11-110000004-44-4100-1-11−i3i3i3−i3-11-11000000
χ114-44-4100-1-11i3−i3−i3i3-11-110000004-44-4100-1-11i3−i3−i3i3-11-110000004-44-4100-1-11i3−i3−i3i3-11-11000000
χ124-44-4-20022-20000-11-110000004-44-4-20022-20000-11-110000004-44-4-20022-20000-11-11000000
χ134-4-4412i−2i1-1-1−i−iii-1-1110000004-4-4412i−2i1-1-1−i−iii-1-1110000004-4-4412i−2i1-1-1−i−iii-1-111000000
χ144-4-441−2i2i1-1-1ii−i−i-1-1110000004-4-441−2i2i1-1-1ii−i−i-1-1110000004-4-441−2i2i1-1-1ii−i−i-1-111000000
χ155555-111-1-1-11111000011-1-1-1-15555-111-1-1-11111000011-1-1-1-15555-111-1-1-11111000011-1-1-1-1
χ165555-1-1-1-1-1-1-1-1-1-100001111115555-1-1-1-1-1-1-1-1-1-100001111115555-1-1-1-1-1-1-1-1-1-10000111111
χ175-5-55-1i−i-111ii−i−i00001-1−i−iii5-5-55-1i−i-111ii−i−i00001-1−i−iii5-5-55-1i−i-111ii−i−i00001-1−i−iii
χ185-5-55-1−ii-111−i−iii00001-1ii−i−i5-5-55-1−ii-111−i−iii00001-1ii−i−i5-5-55-1−ii-111−i−iii00001-1ii−i−i
χ19666600000000001111-2-20000666600000000001111-2-20000666600000000001111-2-20000
χ2066-6-600000000001-1-11002−22−266-6-600000000001-1-11002−22−266-6-600000000001-1-11002−22−2
χ2166-6-600000000001-1-1100−22−2266-6-600000000001-1-1100−22−2266-6-600000000001-1-1100−22−22
χ226-66-600000000001-11-100−i2i2i2−i26-66-600000000001-11-100−i2i2i2−i26-66-600000000001-11-100−i2i2i2−i2
χ236-66-600000000001-11-100i2−i2−i2i26-66-600000000001-11-100i2−i2−i2i26-66-600000000001-11-100i2−i2−i2i2
χ246-6-66000000000011-1-1-2200006-6-66000000000011-1-1-2200006-6-66000000000011-1-1-220000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2611111-1-1111-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ271-1-111i−i1-1-1ii−i−i11-1-11-1ii−i−i−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22
χ281-1-111−ii1-1-1−i−iii11-1-11-1−i−iii−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22
χ294444122111-1-1-1-1-1-1-1-1000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i32−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i32−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32000000
χ3044441-2-21111111-1-1-1-1000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000
χ3144-4-4100-11-13−33−3-111-1000000−2+2i3−2+2i32−2i32−2i3−1+i32001−i32−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ221−i32−1+i32−1+i321−i32000000−2−2i3−2−2i32+2i32+2i3−1−i32001+i32−1−i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ221+i32−1−i32−1−i321+i32000000
χ3244-4-4100-11-1−33−33-111-1000000−2+2i3−2+2i32−2i32−2i3−1+i32001−i32−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ221−i32−1+i32−1+i321−i32000000−2−2i3−2−2i32+2i32+2i3−1−i32001+i32−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ221+i32−1−i32−1−i321+i32000000
χ3344-4-4-2002-220000-111-1000000−2+2i3−2+2i32−2i32−2i31−i300−1+i31−i3−1+i300001−i32−1+i32−1+i321−i32000000−2−2i3−2−2i32+2i32+2i31+i300−1−i31+i3−1−i300001+i32−1−i32−1−i321+i32000000
χ344-44-4100-1-11−i3i3i3−i3-11-11000000−2+2i32−2i3−2+2i32−2i3−1+i32001−i321−i32−1+i323+i32−3−i32−3−i323+i321−i32−1+i321−i32−1+i32000000−2−2i32+2i3−2−2i32+2i3−1−i32001+i321+i32−1−i32−3+i323−i323−i32−3+i321+i32−1−i321+i32−1−i32000000
χ354-44-4100-1-11i3−i3−i3i3-11-11000000−2+2i32−2i3−2+2i32−2i3−1+i32001−i321−i32−1+i32−3−i323+i323+i32−3−i321−i32−1+i321−i32−1+i32000000−2−2i32+2i3−2−2i32+2i3−1−i32001+i321+i32−1−i323−i32−3+i32−3+i323−i321+i32−1−i321+i32−1−i32000000
χ364-44-4-20022-20000-11-11000000−2+2i32−2i3−2+2i32−2i31−i300−1+i3−1+i31−i300001−i32−1+i321−i32−1+i32000000−2−2i32+2i3−2−2i32+2i31+i300−1−i3−1−i31+i300001+i32−1−i321+i32−1−i32000000
χ374-4-4412i−2i1-1-1−i−iii-1-111000000−2+2i32−2i32−2i3−2+2i3−1+i322ζ14−2ζ14−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32000000−2−2i32+2i32+2i3−2−2i3−1−i322ζ22−2ζ22−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32000000
χ384-4-441−2i2i1-1-1ii−i−i-1-111000000−2+2i32−2i32−2i3−2+2i3−1+i32−2ζ142ζ14−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32000000−2−2i32+2i32+2i3−2−2i3−1−i32−2ζ222ζ22−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32000000
χ395555-111-1-1-11111000011-1-1-1-1−5+5i32−5+5i32−5+5i32−5+5i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i321−i321−i321−i321−i32−5−5i32−5−5i32−5−5i32−5−5i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i321+i321+i321+i321+i32
χ405555-1-1-1-1-1-1-1-1-1-10000111111−5+5i32−5+5i32−5+5i32−5+5i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−5−5i32−5−5i32−5−5i32−5−5i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ415-5-55-1i−i-111ii−i−i00001-1−i−iii−5+5i325−5i325−5i32−5+5i321−i32ζ14−ζ141−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ140000−1+i321−i32−ζ14−ζ14ζ14ζ14−5−5i325+5i325+5i32−5−5i321+i32ζ22−ζ221+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ220000−1−i321+i32−ζ22−ζ22ζ22ζ22
χ425-5-55-1−ii-111−i−iii00001-1ii−i−i−5+5i325−5i325−5i32−5+5i321−i32−ζ14ζ141−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ140000−1+i321−i32ζ14ζ14−ζ14−ζ14−5−5i325+5i325+5i32−5−5i321+i32−ζ22ζ221+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ220000−1−i321+i32ζ22ζ22−ζ22−ζ22
χ43666600000000001111-2-20000−3+3i3−3+3i3−3+3i3−3+3i30000000000−1+i32−1+i32−1+i32−1+i321−i31−i30000−3−3i3−3−3i3−3−3i3−3−3i30000000000−1−i32−1−i32−1−i32−1−i321+i31+i30000
χ4466-6-600000000001-1-11002−22−2−3+3i3−3+3i33−3i33−3i30000000000−1+i321−i321−i32−1+i3200ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−3−3i3−3−3i33+3i33+3i30000000000−1−i321+i321+i32−1−i3200−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13
χ4566-6-600000000001-1-1100−22−22−3+3i3−3+3i33−3i33−3i30000000000−1+i321−i321−i32−1+i3200−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−3−3i3−3−3i33+3i33+3i30000000000−1−i321+i321+i32−1−i3200ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13
χ466-66-600000000001-11-100−i2i2i2−i2−3+3i33−3i3−3+3i33−3i30000000000−1+i321−i32−1+i321−i3200ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−3−3i33+3i3−3−3i33+3i30000000000−1−i321+i32−1−i321+i3200ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13
χ476-66-600000000001-11-100i2−i2−i2i2−3+3i33−3i3−3+3i33−3i30000000000−1+i321−i32−1+i321−i3200−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−3−3i33+3i3−3−3i33+3i30000000000−1−i321+i32−1−i321+i3200−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13
χ486-6-66000000000011-1-1-220000−3+3i33−3i33−3i3−3+3i30000000000−1+i32−1+i321−i321−i321−i3−1+i30000−3−3i33+3i33+3i3−3−3i30000000000−1−i32−1−i321+i321+i321+i3−1−i30000
χ49111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5011111-1-1111-1-1-1-1111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ511-1-111i−i1-1-1ii−i−i11-1-11-1ii−i−i−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14
χ521-1-111−ii1-1-1−i−iii11-1-11-1−i−iii−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14
χ534444122111-1-1-1-1-1-1-1-1000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i32−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i32−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32000000
χ5444441-2-21111111-1-1-1-1000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000
χ5544-4-4100-11-13−33−3-111-1000000−2−2i3−2−2i32+2i32+2i3−1−i32001+i32−1−i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ221+i32−1−i32−1−i321+i32000000−2+2i3−2+2i32−2i32−2i3−1+i32001−i32−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ221−i32−1+i32−1+i321−i32000000
χ5644-4-4100-11-1−33−33-111-1000000−2−2i3−2−2i32+2i32+2i3−1−i32001+i32−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ221+i32−1−i32−1−i321+i32000000−2+2i3−2+2i32−2i32−2i3−1+i32001−i32−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ221−i32−1+i32−1+i321−i32000000
χ5744-4-4-2002-220000-111-1000000−2−2i3−2−2i32+2i32+2i31+i300−1−i31+i3−1−i300001+i32−1−i32−1−i321+i32000000−2+2i3−2+2i32−2i32−2i31−i300−1+i31−i3−1+i300001−i32−1+i32−1+i321−i32000000
χ584-44-4100-1-11−i3i3i3−i3-11-11000000−2−2i32+2i3−2−2i32+2i3−1−i32001+i321+i32−1−i32−3+i323−i323−i32−3+i321+i32−1−i321+i32−1−i32000000−2+2i32−2i3−2+2i32−2i3−1+i32001−i321−i32−1+i323+i32−3−i32−3−i323+i321−i32−1+i321−i32−1+i32000000
χ594-44-4100-1-11i3−i3−i3i3-11-11000000−2−2i32+2i3−2−2i32+2i3−1−i32001+i321+i32−1−i323−i32−3+i32−3+i323−i321+i32−1−i321+i32−1−i32000000−2+2i32−2i3−2+2i32−2i3−1+i32001−i321−i32−1+i32−3−i323+i323+i32−3−i321−i32−1+i321−i32−1+i32000000
χ604-44-4-20022-20000-11-11000000−2−2i32+2i3−2−2i32+2i31+i300−1−i3−1−i31+i300001+i32−1−i321+i32−1−i32000000−2+2i32−2i3−2+2i32−2i31−i300−1+i3−1+i31−i300001−i32−1+i321−i32−1+i32000000
χ614-4-4412i−2i1-1-1−i−iii-1-111000000−2−2i32+2i32+2i3−2−2i3−1−i322ζ22−2ζ22−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32000000−2+2i32−2i32−2i3−2+2i3−1+i322ζ14−2ζ14−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32000000
χ624-4-441−2i2i1-1-1ii−i−i-1-111000000−2−2i32+2i32+2i3−2−2i3−1−i32−2ζ222ζ22−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32000000−2+2i32−2i32−2i3−2+2i3−1+i32−2ζ142ζ14−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32000000
χ635555-111-1-1-11111000011-1-1-1-1−5−5i32−5−5i32−5−5i32−5−5i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i321+i321+i321+i321+i32−5+5i32−5+5i32−5+5i32−5+5i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i321−i321−i321−i321−i32
χ645555-1-1-1-1-1-1-1-1-1-10000111111−5−5i32−5−5i32−5−5i32−5−5i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−5+5i32−5+5i32−5+5i32−5+5i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ655-5-55-1i−i-111ii−i−i00001-1−i−iii−5−5i325+5i325+5i32−5−5i321+i32ζ22−ζ221+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ220000−1−i321+i32−ζ22−ζ22ζ22ζ22−5+5i325−5i325−5i32−5+5i321−i32ζ14−ζ141−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ140000−1+i321−i32−ζ14−ζ14ζ14ζ14
χ665-5-55-1−ii-111−i−iii00001-1ii−i−i−5−5i325+5i325+5i32−5−5i321+i32−ζ22ζ221+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ220000−1−i321+i32ζ22ζ22−ζ22−ζ22−5+5i325−5i325−5i32−5+5i321−i32−ζ14ζ141−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ140000−1+i321−i32ζ14ζ14−ζ14−ζ14
χ67666600000000001111-2-20000−3−3i3−3−3i3−3−3i3−3−3i30000000000−1−i32−1−i32−1−i32−1−i321+i31+i30000−3+3i3−3+3i3−3+3i3−3+3i30000000000−1+i32−1+i32−1+i32−1+i321−i31−i30000
χ6866-6-600000000001-1-11002−22−2−3−3i3−3−3i33+3i33+3i30000000000−1−i321+i321+i32−1−i3200−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−3+3i3−3+3i33−3i33−3i30000000000−1+i321−i321−i32−1+i3200ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23
χ6966-6-600000000001-1-1100−22−22−3−3i3−3−3i33+3i33+3i30000000000−1−i321+i321+i32−1−i3200ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−3+3i3−3+3i33−3i33−3i30000000000−1+i321−i321−i32−1+i3200−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23
χ706-66-600000000001-11-100−i2i2i2−i2−3−3i33+3i3−3−3i33+3i30000000000−1−i321+i32−1−i321+i3200ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−3+3i33−3i3−3+3i33−3i30000000000−1+i321−i32−1+i321−i3200ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23
χ716-66-600000000001-11-100i2−i2−i2i2−3−3i33+3i3−3−3i33+3i30000000000−1−i321+i32−1−i321+i3200−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−3+3i33−3i3−3+3i33−3i30000000000−1+i321−i32−1+i321−i3200−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23
χ726-6-66000000000011-1-1-220000−3−3i33+3i33+3i3−3−3i30000000000−1−i32−1−i321+i321+i321+i3−1−i30000−3+3i33−3i33−3i3−3+3i30000000000−1+i32−1+i321−i321−i321−i3−1+i30000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.