Finite Group Databasebeta

← Group #13161773

Character table — Group #13161773

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222222244444444444444444444444444448888888888888888888888888888888888888363636363636363636363636727272727272727272727272
order1223334466612123333366666666121212121212121212121212121212666668121212121224242424242424242424242424242424242424242424242424242222444412121212466668121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-11-1111111-11-1-1-1-11-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-11-1-1-1-1-1-11-11-1-1-1-1111-1-1
χ51111111111111111111111111111111111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-111-1-1-1-1
χ61111111111111111111111111111111111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-111-1-1
χ71111111111111111111111111111111111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-111-11111
χ81111111111111111111111111111111111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-11-1-11-11-1-111
χ9222222-2-2222-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222220-2-2-2-2-2000000000000000000000000002-200000000000002-20000000
χ10222222-2-2222-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222220-2-2-2-2-200000000000000000000000000-220000000000000-220000000
χ1122222-122-122222-1-1-1-12-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000000-1-120000-1-1
χ1222222-122-122222-1-1-1-12-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000000011-2000011
χ1322222-122-122222-1-1-1-12-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-12-1-1-1-1-22-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111220000000000000-1-1-2000011
χ1422222-122-122222-1-1-1-12-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-12-1-1-1-1-22-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-200000000000001120000-1-1
χ1522222-1-2-2-122-2-22-1-1-1-12-12-1-1-1-12-2-21-2-2-21111111112-1-1-1-10-2111100000000333333333−3−3−3−3−3−3−3−3−32-20000000000000-11000003−3
χ1622222-1-2-2-122-2-22-1-1-1-12-12-1-1-1-12-2-21-2-2-21111111112-1-1-1-10-2111100000000333333333−3−3−3−3−3−3−3−3−3-2200000000000001-100000−33
χ1722222-1-2-2-122-2-22-1-1-1-12-12-1-1-1-12-2-21-2-2-21111111112-1-1-1-10-2111100000000−3−3−3−3−3−3−3−3−33333333332-20000000000000-1100000−33
χ1822222-1-2-2-122-2-22-1-1-1-12-12-1-1-1-12-2-21-2-2-21111111112-1-1-1-10-2111100000000−3−3−3−3−3−3−3−3−3333333333-2200000000000001-1000003−3
χ192222-122222-122-12-1-1-1-12-12-1-1-122-12-1-1-122-1-1-1-1-1-12-12-1-1-12-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-100020200000020-10000-1-1-100
χ202222-122222-122-12-1-1-1-12-12-1-1-122-12-1-1-122-1-1-1-1-1-12-12-1-1-12-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1000-20-2000000-201000011100
χ212222-122222-122-12-1-1-1-12-12-1-1-122-12-1-1-122-1-1-1-1-1-12-12-1-1-1-2-12-1-1-1-2-2111111-2-2-2111111-2-2-2111111000202000000-20-10000-11100
χ222222-122222-122-12-1-1-1-12-12-1-1-122-12-1-1-122-1-1-1-1-1-12-12-1-1-1-2-12-1-1-1-2-2111111-2-2-2111111-2-2-2111111000-20-200000020100001-1-100
χ23222-122222-12-1-1-1-12-1-122-1-12-1-1-1-1222-1-1-1-122-1-1-1-12-1-12-1-12-1-12-1-1-1-122-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-100202022-1-1-1-10-10000-100000
χ24222-122222-12-1-1-1-12-1-122-1-12-1-1-1-1222-1-1-1-122-1-1-1-12-1-12-1-12-1-12-1-1-1-122-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-100-20-20-2-21111010000100000
χ25222-122222-12-1-1-1-12-1-122-1-12-1-1-1-1222-1-1-1-122-1-1-1-12-1-12-1-1-2-1-12-1-111-2-21111-211-2-21111-211-2-21111002020-2-211110-10000-100000
χ26222-122222-12-1-1-1-12-1-122-1-12-1-1-1-1222-1-1-1-122-1-1-1-12-1-12-1-1-2-1-12-1-111-2-21111-211-2-21111-211-2-2111100-20-2022-1-1-1-1010000100000
χ2722-22222-22222222222-2-222222-2-2-2222222222222-2-2-2-2-2-20-2-2-2-2-20000000000000000000000000000020-20000000020000-20000
χ2822-22222-22222222222-2-222222-2-2-2222222222222-2-2-2-2-2-20-2-2-2-2-200000000000000000000000000000-20200000000-2000020000
χ2922-2222-22222-2-222222-2-222222-222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2022222000000000000000000000000000020-20000000020000-200000
χ3022-2222-22222-2-222222-2-222222-222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-20222220000000000000000000000000000-20200000000-20000200000
χ3122-22-122-222-122-12-1-1-11-2-12-1-1-1-2-212-1-1-122-1-1-1-1-1-1-21-211101-211100−i3i3−i3−i3i3i3000−i3i3−i3−i3i3i3000−i3i3−i3−i3i3i300020-200000000-100001−i3i300
χ3222-22-122-222-122-12-1-1-11-2-12-1-1-1-2-212-1-1-122-1-1-1-1-1-1-21-211101-211100−i3i3−i3−i3i3i3000−i3i3−i3−i3i3i3000−i3i3−i3−i3i3i3000-2020000000010000-1i3−i300
χ3322-22-122-222-122-12-1-1-11-2-12-1-1-1-2-212-1-1-122-1-1-1-1-1-1-21-211101-211100i3−i3i3i3−i3−i3000i3−i3i3i3−i3−i3000i3−i3i3i3−i3−i300020-200000000-100001i3−i300
χ3422-22-122-222-122-12-1-1-11-2-12-1-1-1-2-212-1-1-122-1-1-1-1-1-1-21-211101-211100i3−i3i3i3−i3−i3000i3−i3i3i3−i3−i3000i3−i3i3i3−i3−i3000-2020000000010000-1−i3i300
χ3522-2-122-222-1211-1-12-1-1-2-2-1-12-1-11-12-2-21111-2-21111211-2110-1-12-1-13−3003−33−303−3003−33−303−3003−33−30020-200033−3−30-10000100000
χ3622-2-122-222-1211-1-12-1-1-2-2-1-12-1-11-12-2-21111-2-21111211-2110-1-12-1-13−3003−33−303−3003−33−303−3003−33−300-202000−3−333010000-100000
χ3722-2-122-222-1211-1-12-1-1-2-2-1-12-1-11-12-2-21111-2-21111211-2110-1-12-1-1−3300−33−330−3300−33−330−3300−33−330020-2000−3−3330-10000100000
χ3822-2-122-222-1211-1-12-1-1-2-2-1-12-1-11-12-2-21111-2-21111211-2110-1-12-1-1−3300−33−330−3300−33−330−3300−33−3300-20200033−3−3010000-100000
χ394444-24-4-444-2-4-4-24-2-2-2-24-24-2-2-24-42-4222-4-4222222-4-24-2-2-202-422200000000000000000000000000000000000000000000000000
χ404444-2-244-24-244-2-2111-2-2-2-211144-2-2-2-2-2-2-2111111-2-2-21114-2-211144-2-2-2-2-2-2-2-2-2111111-2-2-2111111000000000000000000000000
χ414444-2-244-24-244-2-2111-2-2-2-211144-2-2-2-2-2-2-2111111-2-2-2111-4-2-2111-4-4222222222-1-1-1-1-1-1222-1-1-1-1-1-1000000000000000000000000
χ424444-2-2-4-4-24-2-4-4-2-2111-2-2-2-21114-42222222-1-1-1-1-1-12-2-2111022-1-1-100000000232323−3−3−3−3−3−3−23−23−23333333000000000000000000000000
χ434444-2-2-4-4-24-2-4-4-2-2111-2-2-2-21114-42222222-1-1-1-1-1-12-2-2111022-1-1-100000000−23−23−23333333232323−3−3−3−3−3−3000000000000000000000000
χ44444-244-4-44-2422-2-24-2-244-2-24-2-2-22-4-4-42222-4-42222-4-2-24-2-2022-42200000000000000000000000000000000000000000000000000
χ45444-24-244-2-24-2-2-21-2114-2-21-211-2-24-24-2-211-2-21111-2-21-2114-21-211-2-244-2-2-2-2-211-2-21111-211-2-21111000000000000000000000000
χ46444-24-244-2-24-2-2-21-2114-2-21-211-2-24-24-2-211-2-21111-2-21-211-4-21-21122-4-422222-1-122-1-1-1-12-1-122-1-1-1-1000000000000000000000000
χ47444-24-2-4-4-2-2422-21-2114-2-21-211-22-42-422-1-122-1-1-1-12-21-21102-12-1-10000000023−3−32323−3−3−3−3−2333−23−233333000000000000000000000000
χ48444-24-2-4-4-2-2422-21-2114-2-21-211-22-42-422-1-122-1-1-1-12-21-21102-12-1-100000000−2333−23−23333323−3−32323−3−3−3−3000000000000000000000000
χ49444-2-24444-2-2-2-21-2-211-241-2-211-2-2-24-211-2-2-2-2111141-2-21141-2-211-2-2-2-211114-2-2-2-211114-2-2-2-21111000000000000000000000000
χ50444-2-24444-2-2-2-21-2-211-241-2-211-2-2-24-211-2-2-2-2111141-2-211-41-2-2112222-1-1-1-1-42222-1-1-1-1-42222-1-1-1-1000000000000000000000000
χ51444-2-24-4-44-2-2221-2-211-241-2-211-222-42-1-12222-1-1-1-1-41-2-2110-122-1-100003i−3i−3i3i000003i−3i−3i3i000003i−3i−3i3i000000000000000000000000
χ52444-2-24-4-44-2-2221-2-211-241-2-211-222-42-1-12222-1-1-1-1-41-2-2110-122-1-10000−3i3i3i−3i00000−3i3i3i−3i00000−3i3i3i−3i000000000000000000000000
χ53444-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i324111−1−3i32−1+3i32-2-2-2-21111-21111−1−3i32−1+3i32−1+3i32−1−3i32-21111−1+3i32−1−3i32−1−3i32−1+3i32000000000000000000000000
χ54444-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32-4111−1−3i32−1+3i322222-1-1-1-12-1-1-1-11+3i321−3i321−3i321+3i322-1-1-1-11−3i321+3i321+3i321−3i32000000000000000000000000
χ55444-2-2-244-2-2-2-2-2111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i324111−1+3i32−1−3i32-2-2-2-21111-21111−1+3i32−1−3i32−1−3i32−1+3i32-21111−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000
χ56444-2-2-244-2-2-2-2-2111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32-4111−1+3i32−1−3i322222-1-1-1-12-1-1-1-11−3i321+3i321+3i321−3i322-1-1-1-11+3i321−3i321−3i321+3i32000000000000000000000000
χ57444-2-2-2-4-4-2-2-222111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-22222-1-1-1-1-1-11+3i321+3i321−3i321−3i322111−1−3i32−1+3i320-1-1-11+3i321−3i3200003i−3i−3i3i23−3−3−3−3ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ11ζ7+2ζ11−2333332ζ7+ζ11−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000
χ58444-2-2-2-4-4-2-2-222111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-22222-1-1-1-1-1-11+3i321+3i321−3i321−3i322111−1−3i32−1+3i320-1-1-11+3i321−3i320000−3i3i3i−3i−233333−ζ7−2ζ112ζ7+ζ112ζ7+ζ11−ζ7−2ζ1123−3−3−3−3−2ζ7−ζ11ζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000
χ59444-2-2-2-4-4-2-2-222111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-22222-1-1-1-1-1-11−3i321−3i321+3i321+3i322111−1+3i32−1−3i320-1-1-11−3i321+3i3200003i−3i−3i3i−2333332ζ7+ζ11−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ1123−3−3−3−3ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000
χ60444-2-2-2-4-4-2-2-222111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-22222-1-1-1-1-1-11−3i321−3i321+3i321+3i322111−1+3i32−1−3i320-1-1-11−3i321+3i320000−3i3i3i−3i23−3−3−3−3−2ζ7−ζ11ζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11−233333−ζ7−2ζ112ζ7+ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000
χ6144-444-24-4-244444-2-2-2-2-424-2-2-2-2-4-4-4-2444-2-2-2-2-2-2-2-22-422220-4222200000000000000000000000000000000000000000000000000
χ6244-444-2-44-244-4-44-2-2-2-2-424-2-2-2-2-4442-4-4-422222222-2-4222204-2-2-2-200000000000000000000000000000000000000000000000000
χ6344-44-24-4444-2-4-4-24-2-2-22-4-24-2-2-2-44-2-4222-4-422222242-42220-24-2-2-200000000000000000000000000000000000000000000000000
χ6444-44-2-24-4-24-244-2-211122-2-2111-4-42-2-2-2-2-2-2111111222-1-1-1022-1-1-100−2i32i3−2i3−2i32i32i3000i3−i3i3i3−i3−i3000i3−i3i3i3−i3−i3000000000000000000000000
χ6544-44-2-24-4-24-244-2-211122-2-2111-4-42-2-2-2-2-2-2111111222-1-1-1022-1-1-1002i3−2i32i32i3−2i3−2i3000−i3i3−i3−i3i3i3000−i3i3−i3−i3i3i3000000000000000000000000
χ6644-44-2-2-44-24-2-4-4-2-211122-2-2111-44-2222222-1-1-1-1-1-1-222-1-1-10-2-2111000000000003i−3i3i3i−3i−3i000−3i3i−3i−3i3i3i000000000000000000000000
χ6744-44-2-2-44-24-2-4-4-2-211122-2-2111-44-2222222-1-1-1-1-1-1-222-1-1-10-2-211100000000000−3i3i−3i−3i3i3i0003i−3i3i3i−3i−3i000000000000000000000000
χ6844-4-2444-44-24-2-2-2-24-2-2-4-4-2-24-2-222-444-2-2-2-244-2-2-2-2-422-422022-42200000000000000000000000000000000000000000000000000
χ6944-4-24-24-4-2-24-2-2-21-211-42-21-21122-4-24-2-211-2-2111122-12-1-102-12-1-10000000003-3003-33-30-3300-33-33000000000000000000000000
χ7044-4-24-24-4-2-24-2-2-21-211-42-21-21122-4-24-2-211-2-2111122-12-1-102-12-1-1000000000-3300-33-3303-3003-33-3000000000000000000000000
χ7144-4-24-2-44-2-2422-21-211-42-21-2112-242-422-1-122-1-1-1-1-22-12-1-10-21-21123−230023−2323−230−3300−33−330−3300−33−33000000000000000000000000
χ7244-4-24-2-44-2-2422-21-211-42-21-2112-242-422-1-122-1-1-1-1-22-12-1-10-21-211−232300−2323−232303−3003−33−303−3003−33−3000000000000000000000000
χ7344-4-2-244-44-2-2-2-21-2-2112-41-2-2112224-211-2-2-2-21111-4-122-1-10-122-1-100−2i32i3i3i3−i3−i3000−2i32i3i3i3−i3−i3000−2i32i3i3i3−i3−i3000000000000000000000000
χ7444-4-2-244-44-2-2-2-21-2-2112-41-2-2112224-211-2-2-2-21111-4-122-1-10-122-1-1002i3−2i3−i3−i3i3i30002i3−2i3−i3−i3i3i30002i3−2i3−i3−i3i3i3000000000000000000000000
χ7544-4-2-24-444-2-2221-2-2112-41-2-2112-2-2-42-1-12222-1-1-1-14-122-1-101-2-21123−2300−33−33023−2300−33−33023−2300−33−33000000000000000000000000
χ7644-4-2-24-444-2-2221-2-2112-41-2-2112-2-2-42-1-12222-1-1-1-14-122-1-101-2-211−2323003−33−30−2323003−33−30−2323003−33−3000000000000000000000000
χ7744-4-2-2-24-4-2-2-2-2-2111−1−3i32−1+3i3222111−1−3i32−1+3i32222-2-2111111−1−3i32−1−3i32−1+3i32−1+3i322-1-1-11+3i321−3i320-1-1-11+3i321−3i3200−2i32i3i3i3−i3−i303-3i3−i3−3−i323−i32−3+i323+i320-33i3−i33−i32−3−i323+i32−3+i32000000000000000000000000
χ7844-4-2-2-24-4-2-2-2-2-2111−1−3i32−1+3i3222111−1−3i32−1+3i32222-2-2111111−1−3i32−1−3i32−1+3i32−1+3i322-1-1-11+3i321−3i320-1-1-11+3i321−3i32002i3−2i3−i3−i3i3i30-33−i3i33+i32−3+i323−i32−3−i3203-3−i3i3−3+i323+i32−3−i323−i32000000000000000000000000
χ7944-4-2-2-24-4-2-2-2-2-2111−1+3i32−1−3i3222111−1+3i32−1−3i32222-2-2111111−1+3i32−1+3i32−1−3i32−1−3i322-1-1-11−3i321+3i320-1-1-11−3i321+3i3200−2i32i3i3i3−i3−i30-33i3−i33−i32−3−i323+i32−3+i3203-3i3−i3−3−i323−i32−3+i323+i32000000000000000000000000
χ8044-4-2-2-24-4-2-2-2-2-2111−1+3i32−1−3i3222111−1+3i32−1−3i32222-2-2111111−1+3i32−1+3i32−1−3i32−1−3i322-1-1-11−3i321+3i320-1-1-11−3i321+3i32002i3−2i3−i3−i3i3i303-3−i3i3−3+i323+i32−3−i323−i320-33−i3i33+i32−3+i323−i32−3−i32000000000000000000000000
χ8144-4-2-2-2-44-2-2-222111−1−3i32−1+3i3222111−1−3i32−1+3i322-2-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-1-1-11+3i321−3i320111−1−3i32−1+3i3223−2300−33−330−333i−3iζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ110−33−3i3i−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11000000000000000000000000
χ8244-4-2-2-2-44-2-2-222111−1−3i32−1+3i3222111−1−3i32−1+3i322-2-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-1-1-11+3i321−3i320111−1−3i32−1+3i32−2323003−33−303−3−3i3i−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ1103−33i−3i2ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ11000000000000000000000000
χ8344-4-2-2-2-44-2-2-222111−1+3i32−1−3i3222111−1+3i32−1−3i322-2-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-1-1-11−3i321+3i320111−1+3i32−1−3i3223−2300−33−330−33−3i3i−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ110−333i−3iζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11000000000000000000000000
χ8444-4-2-2-2-44-2-2-222111−1+3i32−1−3i3222111−1+3i32−1−3i322-2-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-1-1-11−3i321+3i320111−1+3i32−1−3i32−2323003−33−303−33i−3i2ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ1103−3−3i3i−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11000000000000000000000000
χ854-4044400-4-4-4004444400-4-4-4-4-4000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i000000000000
χ864-4044400-4-4-4004444400-4-4-4-4-400000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i000000000000
χ874-40-24400-42-423−23-2-24-2-20022-4220000023−2323−230023−2323−23000000000000000000000000000000000000000000002i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11000000000000
χ884-40-24400-42-423−23-2-24-2-20022-4220000023−2323−230023−2323−2300000000000000000000000000000000000000000000−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11000000000000
χ894-40-24400-42-4−2323-2-24-2-20022-42200000−2323−232300−2323−2323000000000000000000000000000000000000000000002i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11000000000000
χ904-40-24400-42-4−2323-2-24-2-20022-42200000−2323−232300−2323−232300000000000000000000000000000000000000000000−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11000000000000
χ918-8088-4004-8-8008-4-4-4-400-8444400000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-808-4800-8-8400-48-4-4-4004-844400000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-808-4-4004-8400-4-42220044-2-2-20000000006i−6i6i−6i−6i6i00000000000000000000000000000000000000000000000000000000000000
χ948-808-4-4004-8400-4-42220044-2-2-2000000000−6i6i−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000000
χ958-80-48-40044-843−43-42-422004-24-2-20000043−43−232300−2323−232300000000000000000000000000000000000000000000000000000000000000
χ968-80-48-40044-8−4343-42-422004-24-2-200000−434323−230023−2323−2300000000000000000000000000000000000000000000000000000000000000
χ978-80-4-4800-84443−432-4-42200-244-2-200000−232343−4300−2323−232300000000000000000000000000000000000000000000000000000000000000
χ988-80-4-4800-844−43432-4-42200-244-2-20000023−23−43430023−2323−2300000000000000000000000000000000000000000000000000000000000000
χ998-80-4-4-40044443−43222−1−3i3−1+3i300-2-2-21+3i31−3i300000−2323−23236i−6i2ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ1100000000000000000000000000000000000000000000000000000000000000
χ1008-80-4-4-40044443−43222−1+3i3−1−3i300-2-2-21−3i31+3i300000−2323−2323−6i6i−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ1100000000000000000000000000000000000000000000000000000000000000
χ1018-80-4-4-400444−4343222−1−3i3−1+3i300-2-2-21+3i31−3i30000023−2323−23−6i6i−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ1100000000000000000000000000000000000000000000000000000000000000
χ1028-80-4-4-400444−4343222−1+3i3−1−3i300-2-2-21−3i31+3i30000023−2323−236i−6i4ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ1100000000000000000000000000000000000000000000000000000000000000

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