Finite Group Databasebeta

← Group #11921327

Character table — Group #11921327

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222224444444412121212336666666121212121212121236363636448888888161616161616161648484848448888888161616161616161648484848
order1223446121268812242424242288222644612126881224242424228836631212612126242412242424246624243663121261212624241224242424662424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1
χ31111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-1
χ41111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-111
χ51111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i
χ61111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii
χ71111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii
χ81111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i
χ9222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000
χ10222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000
χ11222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000
χ12222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000
χ1322-222-2222-200-20000000022-222-2222-200-20000000022-222-2222-200-20000000022-222-2222-200-200000000
χ1422-22-222-2-2-20020000000022-22-222-2-2-20020000000022-22-222-2-2-20020000000022-22-222-2-2-200200000000
χ1522-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i30000
χ1622-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i30000
χ1722-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−330000
χ1822-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−30000
χ194-40400-4000000000000004-40400-4000000000000004-40400-4000000000000004-40400-400000000000000
χ204-40-200223−230000000000004-40-200223−230000000000004-40-200223−230000000000004-40-200223−23000000000000
χ214-40-2002−23230000000000004-40-2002−23230000000000004-40-2002−23230000000000004-40-2002−2323000000000000
χ22111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2311111111111111111-1-1-1-111111111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32
χ241111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−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+i321+i321+i32−1−i32−1−i321+i321+i32
χ251111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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+i321+i321+i321+i321+i32−1−i32−1−i32
χ261111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ71−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ111+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11
χ271111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ71−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ111+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11
χ281111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−ζ7ζ71−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−ζ11ζ111+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11
χ291111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−ζ7ζ71−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−ζ11ζ111+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11
χ30222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i320000
χ31222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i320000
χ32222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i321−i322ζ7−2ζ7−1+i32−ζ7−ζ7ζ7ζ70000−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i321+i322ζ11−2ζ11−1−i32−ζ11−ζ11ζ11ζ110000
χ33222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i321−i32−2ζ72ζ7−1+i32ζ7ζ7−ζ7−ζ70000−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i321+i32−2ζ112ζ11−1−i32ζ11ζ11−ζ11−ζ110000
χ3422-222-2222-200-20000000022-222-2222-200-200000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3001−i300000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3001+i300000000
χ3522-22-222-2-2-20020000000022-22-222-2-2-200200000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i300−1+i300000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i300−1−i300000000
χ3622-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i30000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i321−i32−1+i3200−1+i323+i32−3−i323+i32−3−i320000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i321+i32−1−i3200−1−i32−3+i323−i32−3+i323−i320000
χ3722-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i30000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i321−i32−1+i3200−1+i32−3−i323+i32−3−i323+i320000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i321+i32−1−i3200−1−i323−i32−3+i323−i32−3+i320000
χ3822-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−330000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i32001−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i32001+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000
χ3922-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−30000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i32001−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i32001+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000
χ404-40400-4000000000000004-40400-400000000000000−2+2i32−2i30−2+2i3002−2i300000000000000−2−2i32+2i30−2−2i3002+2i300000000000000
χ414-40-200223−230000000000004-40-200223−23000000000000−2+2i32−2i301−i300−1+i3−2ζ7−4ζ112ζ7+4ζ11000000000000−2−2i32+2i301+i300−1−i34ζ7+2ζ11−4ζ7−2ζ11000000000000
χ424-40-2002−23230000000000004-40-2002−2323000000000000−2+2i32−2i301−i300−1+i32ζ7+4ζ11−2ζ7−4ζ11000000000000−2−2i32+2i301+i300−1−i3−4ζ7−2ζ114ζ7+2ζ11000000000000
χ43111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4411111111111111111-1-1-1-111111111111111111-1-1-1-1−1−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−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+i321−i321−i321−i321−i32
χ451111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+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−i321−i321−i32−1+i32−1+i321−i321−i32
χ461111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−i321−i321−i321−i321−i32−1+i32−1+i32
χ471111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ111+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ71−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7
χ481111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ111+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ71−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7
χ491111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−ζ11ζ111+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−ζ7ζ71−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7
χ501111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−ζ11ζ111+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−ζ7ζ71−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7
χ51222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i320000
χ52222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i320000
χ53222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i321+i322ζ11−2ζ11−1−i32−ζ11−ζ11ζ11ζ110000−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i321−i322ζ7−2ζ7−1+i32−ζ7−ζ7ζ7ζ70000
χ54222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i321+i32−2ζ112ζ11−1−i32ζ11ζ11−ζ11−ζ110000−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i321−i32−2ζ72ζ7−1+i32ζ7ζ7−ζ7−ζ70000
χ5522-222-2222-200-20000000022-222-2222-200-200000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3001+i300000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3001−i300000000
χ5622-22-222-2-2-20020000000022-22-222-2-2-200200000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i300−1−i300000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i300−1+i300000000
χ5722-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i30000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i321+i32−1−i3200−1−i32−3+i323−i32−3+i323−i320000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i321−i32−1+i3200−1+i323+i32−3−i323+i32−3−i320000
χ5822-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i30000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i321+i32−1−i3200−1−i323−i32−3+i323−i32−3+i320000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i321−i32−1+i3200−1+i32−3−i323+i32−3−i323+i320000
χ5922-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−330000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i32001+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i32001−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000
χ6022-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−30000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i32001+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i32001−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ614-40400-4000000000000004-40400-400000000000000−2−2i32+2i30−2−2i3002+2i300000000000000−2+2i32−2i30−2+2i3002−2i300000000000000
χ624-40-200223−230000000000004-40-200223−23000000000000−2−2i32+2i301+i300−1−i34ζ7+2ζ11−4ζ7−2ζ11000000000000−2+2i32−2i301−i300−1+i3−2ζ7−4ζ112ζ7+4ζ11000000000000
χ634-40-2002−23230000000000004-40-2002−2323000000000000−2−2i32+2i301+i300−1−i3−4ζ7−2ζ114ζ7+2ζ11000000000000−2+2i32−2i301−i300−1+i32ζ7+4ζ11−2ζ7−4ζ11000000000000
χ64333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6533333333333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ663333333333-3-33-3-3-3-333-3-3-1-1-1-1-1-1-1-1-1-111-11111-1-111000000000000000000000000000000000000000000
χ673333333333-3-33-3-3-3-3-3-333-1-1-1-1-1-1-1-1-1-111-1111111-1-1000000000000000000000000000000000000000000
χ683333-3-33-3-333i−3i-33i3i−3i−3i3-33i−3i-1-1-1-111-111-1−ii1−i−iii-11−ii000000000000000000000000000000000000000000
χ693333-3-33-3-333i−3i-33i3i−3i−3i-33−3i3i-1-1-1-111-111-1−ii1−i−iii1-1i−i000000000000000000000000000000000000000000
χ703333-3-33-3-33−3i3i-3−3i−3i3i3i3-3−3i3i-1-1-1-111-111-1i−i1ii−i−i-11i−i000000000000000000000000000000000000000000
χ713333-3-33-3-33−3i3i-3−3i−3i3i3i-333i−3i-1-1-1-111-111-1i−i1ii−i−i1-1−ii000000000000000000000000000000000000000000
χ72666-366-3-3-3-366-3-3-3-3-30000-2-2-21-2-21111-2-2111110000000000000000000000000000000000000000000000
χ73666-366-3-3-3-3-6-6-333330000-2-2-21-2-21111221-1-1-1-10000000000000000000000000000000000000000000000
χ74666-3-6-6-333-36i−6i3−3i−3i3i3i0000-2-2-21221-1-11−2i2i-1ii−i−i0000000000000000000000000000000000000000000000
χ75666-3-6-6-333-3−6i6i33i3i−3i−3i0000-2-2-21221-1-112i−2i-1−i−iii0000000000000000000000000000000000000000000000
χ7666-666-6666-600-600000000-2-22-2-22-2-2-2200200000000000000000000000000000000000000000000000000
χ7766-66-666-6-6-600600000000-2-22-22-2-222200-200000000000000000000000000000000000000000000000000
χ7866-6-36-6-3-3-33003−3i33i3−3i33i30000-2-221-22111-100-1i3−i3i3−i30000000000000000000000000000000000000000000000
χ7966-6-36-6-3-3-330033i3−3i33i3−3i30000-2-221-22111-100-1−i3i3−i3i30000000000000000000000000000000000000000000000
χ8066-6-3-66-333300-333−33−33330000-2-2212-21-1-1-1001−333−30000000000000000000000000000000000000000000000
χ8166-6-3-66-333300-3−333333−330000-2-2212-21-1-1-10013−3−330000000000000000000000000000000000000000000000
χ8212-1201200-1200000000000000-440-400400000000000000000000000000000000000000000000000000000000
χ8312-120-600663−63000000000000-440200-2−2323000000000000000000000000000000000000000000000000000000
χ8412-120-6006−6363000000000000-440200-223−23000000000000000000000000000000000000000000000000000000

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