Finite Group Databasebeta

← Group #13181078

Character table — Group #13181078

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222244444444444444888881212121212121212121212121212121212121818363636367272108108112222244444444444444888881212121212121212121212121212121212121818363636367272108108
order12346121233336666121212121212361212122466666666121212121212121224446121212882264612126666666612121212121266121212246666666612121212121212122444612121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111111111111111111111111111111111-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ5111-11-1-111111111-1-1-1-1-1-111-1-1-11-111111111-1-1-1-1-1-1-1-1-111-1-111-11-1111-11-1-111111111-1-1-1-1-1-111-1-1-11-111111111-1-1-1-1-1-1-1-1-111-1-111-11-1
χ6111-11-1-111111111-1-1-1-1-1-111-1-1-11-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11111-11-1-111111111-1-1-1-1-1-111-1-1-11-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11
χ7111-11-1-111111111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-111-1-11111-11-1-111111111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-111-1-11
χ8111-11-1-111111111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111111111-11-11-11-111-1111-11-1-111111111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111111111-11-11-11-111-1
χ922222222222222222222222222000000000000000000-2-200-2-2000022222222222222222222222222000000000000000000-2-200-2-20000
χ10222-22-2-222222222-2-2-2-2-2-222-2-2-20000000000000000002-2002-20000222-22-2-222222222-2-2-2-2-2-222-2-2-20000000000000000002-2002-20000
χ1122-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-100−i3i300−i3−i3i3i3−i3i300−i3−i3i3i3-2-20011000022-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-100−i3i300−i3−i3i3i3−i3i300−i3−i3i3i3-2-200110000
χ1222-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-100i3−i300i3i3−i3−i3i3−i300i3i3−i3−i3-2-20011000022-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-100i3−i300i3i3−i3−i3i3−i300i3i3−i3−i3-2-200110000
χ1322-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-12200-1-1000022-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-12200-1-10000
χ1422-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-1-2-211-2-2111111-2-211112200-1-1000022-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-1-2-211-2-2111111-2-211112200-1-10000
χ1522-1-2-11122-1-12-1-12-2-21111-1-1-21100−i3i300−i3−i3i3i3i3−i300i3i3−i3−i32-200-11000022-1-2-11122-1-12-1-12-2-21111-1-1-21100−i3i300−i3−i3i3i3i3−i300i3i3−i3−i32-200-110000
χ1622-1-2-11122-1-12-1-12-2-21111-1-1-21100i3−i300i3i3−i3−i3−i3i300−i3−i3i3i32-200-11000022-1-2-11122-1-12-1-12-2-21111-1-1-21100i3−i300i3i3−i3−i3−i3i300−i3−i3i3i32-200-110000
χ1722-1-2-11122-1-12-1-12-2-21111-1-1-2112-2-1-122-1-1-1-111-2-21111-22001-1000022-1-2-11122-1-12-1-12-2-21111-1-1-2112-2-1-122-1-1-1-111-2-21111-22001-10000
χ1822-1-2-11122-1-12-1-12-2-21111-1-1-211-2211-2-21111-1-122-1-1-1-1-22001-1000022-1-2-11122-1-12-1-12-2-21111-1-1-211-2211-2-21111-1-122-1-1-1-1-22001-10000
χ1944444441-2-2-2-2-2-21-2-2-2-2-2-211111000000000000000000002200-1-10044444441-2-2-2-2-2-21-2-2-2-2-2-211111000000000000000000002200-1-100
χ2044444441-2-2-2-2-2-21-2-2-2-2-2-21111100000000000000000000-2-200110044444441-2-2-2-2-2-21-2-2-2-2-2-21111100000000000000000000-2-2001100
χ214444444-2111111-2111111-2-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-100000000004444444-2111111-2111111-2-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ224444444-2111111-2111111-2-2-2-2-2-2-2-2-2111111-2-211111100000000004444444-2111111-2111111-2-2-2-2-2-2-2-2-2111111-2-21111110000000000
χ23444-44-4-41-2-2-2-2-2-2122222211-1-1-1000000000000000000002-200-1100444-44-4-41-2-2-2-2-2-2122222211-1-1-1000000000000000000002-200-1100
χ24444-44-4-41-2-2-2-2-2-2122222211-1-1-100000000000000000000-22001-100444-44-4-41-2-2-2-2-2-2122222211-1-1-100000000000000000000-22001-100
χ25444-44-4-4-2111111-2-1-1-1-1-1-1-2-22222-222-1-1-1-1-1-1-2-21111110000000000444-44-4-4-2111111-2-1-1-1-1-1-1-2-22222-222-1-1-1-1-1-1-2-21111110000000000
χ26444-44-4-4-2111111-2-1-1-1-1-1-1-2-2222-22-2-211111122-1-1-1-1-1-10000000000444-44-4-4-2111111-2-1-1-1-1-1-1-2-2222-22-2-211111122-1-1-1-1-1-10000000000
χ2744-24-2-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i3211-21122−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32000000000044-24-2-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i3211-21122−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i320000000000
χ2844-24-2-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i3211-211-2-21+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i32000000000044-24-2-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i3211-211-2-21+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i320000000000
χ2944-24-2-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i3211-21122−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32000000000044-24-2-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i3211-21122−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i320000000000
χ3044-24-2-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i3211-211-2-21−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i32000000000044-24-2-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i3211-211-2-21−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i320000000000
χ3144-2-4-222-21−1−3i32−1+3i321−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i32112-1-12-2−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32000000000044-2-4-222-21−1−3i32−1+3i321−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i32112-1-12-2−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i320000000000
χ3244-2-4-222-21−1−3i32−1+3i321−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i32112-1-1-221+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3-1-11+i321+i321−i321−i32000000000044-2-4-222-21−1−3i32−1+3i321−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i32112-1-1-221+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3-1-11+i321+i321−i321−i320000000000
χ3344-2-4-222-21−1+3i32−1−3i321−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i32112-1-12-2−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32000000000044-2-4-222-21−1+3i32−1−3i321−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i32112-1-12-2−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i320000000000
χ3444-2-4-222-21−1+3i32−1−3i321−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i32112-1-1-221−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i32000000000044-2-4-222-21−1+3i32−1−3i321−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i32112-1-1-221−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i320000000000
χ354-440-4004444-4-4-4-40000004-400000000000000000000000000000004-440-4004444-4-4-4-40000004-40000000000000000000000000000000
χ364-440-400-2111-1-1-123i−3i3i−3i3i−3i-220000000−i3i3−i3i3−i3i3003−33−33−300000000004-440-400-2111-1-1-123i−3i3i−3i3i−3i-220000000−i3i3−i3i3−i3i3003−33−33−30000000000
χ374-440-400-2111-1-1-123i−3i3i−3i3i−3i-220000000i3−i3i3−i3i3−i300−33−33−3300000000004-440-400-2111-1-1-123i−3i3i−3i3i−3i-220000000i3−i3i3−i3i3−i300−33−33−330000000000
χ384-440-400-2111-1-1-12−3i3i−3i3i−3i3i-220000000−i3i3−i3i3−i3i300−33−33−3300000000004-440-400-2111-1-1-12−3i3i−3i3i−3i3i-220000000−i3i3−i3i3−i3i300−33−33−330000000000
χ394-440-400-2111-1-1-12−3i3i−3i3i−3i3i-220000000i3−i3i3−i3i3−i3003−33−33−300000000004-440-400-2111-1-1-12−3i3i−3i3i−3i3i-220000000i3−i3i3−i3i3−i3003−33−33−30000000000
χ404-4-20223−2344-2-2-422-40023−23−2323-22023−2300000000000000000000000000004-4-20223−2344-2-2-422-40023−23−2323-22023−230000000000000000000000000000
χ414-4-20223−23-21−1−3i32−1+3i32-11+3i321−3i3223i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ111-10−330000−i3i3−3+i323−i323+i32−3−i32003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000004-4-20223−23-21−1−3i32−1+3i32-11+3i321−3i3223i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ111-10−330000−i3i3−3+i323−i323+i32−3−i32003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ424-4-20223−23-21−1−3i32−1+3i32-11+3i321−3i3223i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ111-10−330000i3−i33−i32−3+i32−3−i323+i3200−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000004-4-20223−23-21−1−3i32−1+3i32-11+3i321−3i3223i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ111-10−330000i3−i33−i32−3+i32−3−i323+i3200−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ434-4-20223−23-21−1+3i32−1−3i32-11−3i321+3i322−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ111-10−330000−i3i33+i32−3−i32−3+i323−i3200−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000004-4-20223−23-21−1+3i32−1−3i32-11−3i321+3i322−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ111-10−330000−i3i33+i32−3−i32−3+i323−i3200−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ444-4-20223−23-21−1+3i32−1−3i32-11−3i321+3i322−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ111-10−330000i3−i3−3−i323+i323−i32−3+i32003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000004-4-20223−23-21−1+3i32−1−3i32-11−3i321+3i322−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ111-10−330000i3−i3−3−i323+i323−i32−3+i32003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ454-4-202−232344-2-2-422-400−232323−23-220−232300000000000000000000000000004-4-202−232344-2-2-422-400−232323−23-220−23230000000000000000000000000000
χ464-4-202−2323-21−1−3i32−1+3i32-11+3i321−3i322−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ111-103−30000−i3i3−3+i323−i323+i32−3−i3200−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000004-4-202−2323-21−1−3i32−1+3i32-11+3i321−3i322−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ111-103−30000−i3i3−3+i323−i323+i32−3−i3200−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ474-4-202−2323-21−1−3i32−1+3i32-11+3i321−3i322−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ111-103−30000i3−i33−i32−3+i32−3−i323+i32003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000004-4-202−2323-21−1−3i32−1+3i32-11+3i321−3i322−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ111-103−30000i3−i33−i32−3+i32−3−i323+i32003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ484-4-202−2323-21−1+3i32−1−3i32-11−3i321+3i3223i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ111-103−30000−i3i33+i32−3−i32−3+i323−i32003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000004-4-202−2323-21−1+3i32−1−3i32-11−3i321+3i3223i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ111-103−30000−i3i33+i32−3−i32−3+i323−i32003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ494-4-202−2323-21−1+3i32−1−3i32-11−3i321+3i3223i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ111-103−30000i3−i3−3−i323+i323−i32−3+i3200−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000004-4-202−2323-21−1+3i32−1−3i32-11−3i321+3i3223i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ111-103−30000i3−i3−3−i323+i323−i32−3+i3200−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ5088-48-4-4-42-422-4222-4-42222-1-12-1-1000000000000000000000000000088-48-4-4-42-422-4222-4-42222-1-12-1-10000000000000000000000000000
χ5188-4-8-4442-422-422244-2-2-2-2-1-1-211000000000000000000000000000088-4-8-4442-422-422244-2-2-2-2-1-1-2110000000000000000000000000000
χ528-880-8002-4-4-4444-20000002-200000000000000000000000000000008-880-8002-4-4-4444-20000002-20000000000000000000000000000000
χ538-8-40443−432-4224-2-2-200−232323−23-1103−300000000000000000000000000008-8-40443−432-4224-2-2-200−232323−23-1103−30000000000000000000000000000
χ548-8-404−43432-4224-2-2-20023−23−2323-110−3300000000000000000000000000008-8-404−43432-4224-2-2-20023−23−2323-110−330000000000000000000000000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ561111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ5711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ5811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1
χ59111-11-1-111111111-1-1-1-1-1-111-1-1-11-111111111-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1111-11-1-1-1-1-1-1-1-1111111111-1-111-1-11-11
χ60111-11-1-111111111-1-1-1-1-1-111-1-1-11-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1111-11-1-1-1-1-1-1-1-1111111111-11-11-11-11-1
χ61111-11-1-111111111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-111-1-11-1-1-11-111-1-1-1-1-1-1-1-1111111-1-11111-111111111-1-1-1-1-1-1-1-11-1-111-1-111-1
χ62111-11-1-111111111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111111111-11-11-11-111-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-11111-111111111-1-1-1-1-1-1-1-11-11-11-11-1-11
χ6322222222222222222222222222000000000000000000-2-200-2-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000002200220000
χ64222-22-2-222222222-2-2-2-2-2-222-2-2-20000000000000000002-2002-20000-2-2-22-222-2-2-2-2-2-2-2-2222222-2-2222000000000000000000-2200-220000
χ6522-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-100−i3i300−i3−i3i3i3−i3i300−i3−i3i3i3-2-200110000-2-21-2111-2-211-211-2-2-2111111-21100i3−i300i3i3−i3−i3i3−i300i3i3−i3−i32200-1-10000
χ6622-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-100i3−i300i3i3−i3−i3i3−i300i3i3−i3−i3-2-200110000-2-21-2111-2-211-211-2-2-2111111-21100−i3i300−i3−i3i3i3−i3i300−i3−i3i3i32200-1-10000
χ6722-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-12200-1-10000-2-21-2111-2-211-211-2-2-2111111-211-2-211-2-2111111-2-21111-2-200110000
χ6822-12-1-1-122-1-12-1-1222-1-1-1-1-1-12-1-1-2-211-2-2111111-2-211112200-1-10000-2-21-2111-2-211-211-2-2-2111111-21122-1-122-1-1-1-1-1-122-1-1-1-1-2-200110000
χ6922-1-2-11122-1-12-1-12-2-21111-1-1-21100−i3i300−i3−i3i3i3i3−i300i3i3−i3−i32-200-110000-2-2121-1-1-2-211-211-222-1-1-1-1112-1-100i3−i300i3i3−i3−i3−i3i300−i3−i3i3i3-22001-10000
χ7022-1-2-11122-1-12-1-12-2-21111-1-1-21100i3−i300i3i3−i3−i3−i3i300−i3−i3i3i32-200-110000-2-2121-1-1-2-211-211-222-1-1-1-1112-1-100−i3i300−i3−i3i3i3i3−i300i3i3−i3−i3-22001-10000
χ7122-1-2-11122-1-12-1-12-2-21111-1-1-2112-2-1-122-1-1-1-111-2-21111-22001-10000-2-2121-1-1-2-211-211-222-1-1-1-1112-1-1-2211-2-21111-1-122-1-1-1-12-200-110000
χ7222-1-2-11122-1-12-1-12-2-21111-1-1-211-2211-2-21111-1-122-1-1-1-1-22001-10000-2-2121-1-1-2-211-211-222-1-1-1-1112-1-12-2-1-122-1-1-1-111-2-211112-200-110000
χ7344444441-2-2-2-2-2-21-2-2-2-2-2-211111000000000000000000002200-1-100-4-4-4-4-4-4-4-1222222-1222222-1-1-1-1-100000000000000000000-2-2001100
χ7444444441-2-2-2-2-2-21-2-2-2-2-2-21111100000000000000000000-2-2001100-4-4-4-4-4-4-4-1222222-1222222-1-1-1-1-1000000000000000000002200-1-100
χ754444444-2111111-2111111-2-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-10000000000-4-4-4-4-4-4-42-1-1-1-1-1-12-1-1-1-1-1-122222-2-2-2-2111111-2-21111110000000000
χ764444444-2111111-2111111-2-2-2-2-2-2-2-2-2111111-2-21111110000000000-4-4-4-4-4-4-42-1-1-1-1-1-12-1-1-1-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ77444-44-4-41-2-2-2-2-2-2122222211-1-1-1000000000000000000002-200-1100-4-4-44-444-1222222-1-2-2-2-2-2-2-1-111100000000000000000000-22001-100
χ78444-44-4-41-2-2-2-2-2-2122222211-1-1-100000000000000000000-22001-100-4-4-44-444-1222222-1-2-2-2-2-2-2-1-1111000000000000000000002-200-1100
χ79444-44-4-4-2111111-2-1-1-1-1-1-1-2-22222-222-1-1-1-1-1-1-2-21111110000000000-4-4-44-4442-1-1-1-1-1-1211111122-2-2-2-22-2-211111122-1-1-1-1-1-10000000000
χ80444-44-4-4-2111111-2-1-1-1-1-1-1-2-2222-22-2-211111122-1-1-1-1-1-10000000000-4-4-44-4442-1-1-1-1-1-1211111122-2-2-22-222-1-1-1-1-1-1-2-21111110000000000
χ8144-24-2-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i3211-21122−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i320000000000-4-42-42222-11+3i321−3i32-11+3i321−3i322-1-11+3i321+3i321−3i321−3i32-1-12-1-1-2-21+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i320000000000
χ8244-24-2-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i3211-211-2-21+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i320000000000-4-42-42222-11+3i321−3i32-11+3i321−3i322-1-11+3i321+3i321−3i321−3i32-1-12-1-122−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i320000000000
χ8344-24-2-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i3211-21122−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i320000000000-4-42-42222-11−3i321+3i32-11−3i321+3i322-1-11−3i321−3i321+3i321+3i32-1-12-1-1-2-21−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i320000000000
χ8444-24-2-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i3211-211-2-21−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i320000000000-4-42-42222-11−3i321+3i32-11−3i321+3i322-1-11−3i321−3i321+3i321+3i32-1-12-1-122−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i320000000000
χ8544-2-4-222-21−1−3i32−1+3i321−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i32112-1-12-2−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i320000000000-4-4242-2-22-11+3i321−3i32-11+3i321−3i32211−1−3i32−1−3i32−1+3i32−1+3i32-1-1-211-221+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3-1-11+i321+i321−i321−i320000000000
χ8644-2-4-222-21−1−3i32−1+3i321−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i32112-1-1-221+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3-1-11+i321+i321−i321−i320000000000-4-4242-2-22-11+3i321−3i32-11+3i321−3i32211−1−3i32−1−3i32−1+3i32−1+3i32-1-1-2112-2−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i320000000000
χ8744-2-4-222-21−1+3i32−1−3i321−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i32112-1-12-2−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i320000000000-4-4242-2-22-11−3i321+3i32-11−3i321+3i32211−1+3i32−1+3i32−1−3i32−1−3i32-1-1-211-221−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i320000000000
χ8844-2-4-222-21−1+3i32−1−3i321−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i32112-1-1-221−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i320000000000-4-4242-2-22-11−3i321+3i32-11−3i321+3i32211−1+3i32−1+3i32−1−3i32−1−3i32-1-1-2112-2−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i320000000000
χ894-440-4004444-4-4-4-40000004-40000000000000000000000000000000-44-40400-4-4-4-44444000000-440000000000000000000000000000000
χ904-440-400-2111-1-1-123i−3i3i−3i3i−3i-220000000−i3i3−i3i3−i3i3003−33−33−30000000000-44-404002-1-1-1111-2−3i3i−3i3i−3i3i2-20000000i3−i3i3−i3i3−i300−33−33−330000000000
χ914-440-400-2111-1-1-123i−3i3i−3i3i−3i-220000000i3−i3i3−i3i3−i300−33−33−330000000000-44-404002-1-1-1111-2−3i3i−3i3i−3i3i2-20000000−i3i3−i3i3−i3i3003−33−33−30000000000
χ924-440-400-2111-1-1-12−3i3i−3i3i−3i3i-220000000−i3i3−i3i3−i3i300−33−33−330000000000-44-404002-1-1-1111-23i−3i3i−3i3i−3i2-20000000i3−i3i3−i3i3−i3003−33−33−30000000000
χ934-440-400-2111-1-1-12−3i3i−3i3i−3i3i-220000000i3−i3i3−i3i3−i3003−33−33−30000000000-44-404002-1-1-1111-23i−3i3i−3i3i−3i2-20000000−i3i3−i3i3−i3i300−33−33−330000000000
χ944-4-20223−2344-2-2-422-40023−23−2323-22023−230000000000000000000000000000-4420-2−2323-4-4224-2-2400−232323−232-20−23230000000000000000000000000000
χ954-4-20223−23-21−1−3i32−1+3i32-11+3i321−3i3223i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ111-10−330000−i3i3−3+i323−i323+i32−3−i32003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000-4420-2−23232-11+3i321−3i321−1−3i32−1+3i32-2−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11-1103−30000i3−i33−i32−3+i32−3−i323+i3200−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ964-4-20223−23-21−1−3i32−1+3i32-11+3i321−3i3223i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ111-10−330000i3−i33−i32−3+i32−3−i323+i3200−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000-4420-2−23232-11+3i321−3i321−1−3i32−1+3i32-2−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11-1103−30000−i3i3−3+i323−i323+i32−3−i32003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ974-4-20223−23-21−1+3i32−1−3i32-11−3i321+3i322−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ111-10−330000−i3i33+i32−3−i32−3+i323−i3200−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000-4420-2−23232-11−3i321+3i321−1+3i32−1−3i32-23i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11-1103−30000i3−i3−3−i323+i323−i32−3+i32003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ984-4-20223−23-21−1+3i32−1−3i32-11−3i321+3i322−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ111-10−330000i3−i3−3−i323+i323−i32−3+i32003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000-4420-2−23232-11−3i321+3i321−1+3i32−1−3i32-23i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11-1103−30000−i3i33+i32−3−i32−3+i323−i3200−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ994-4-202−232344-2-2-422-400−232323−23-220−23230000000000000000000000000000-4420-223−23-4-4224-2-240023−23−23232-2023−230000000000000000000000000000
χ1004-4-202−2323-21−1−3i32−1+3i32-11+3i321−3i322−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ111-103−30000−i3i3−3+i323−i323+i32−3−i3200−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000-4420-223−232-11+3i321−3i321−1−3i32−1+3i32-23i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11-110−330000i3−i33−i32−3+i32−3−i323+i32003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ1014-4-202−2323-21−1−3i32−1+3i32-11+3i321−3i322−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ111-103−30000i3−i33−i32−3+i32−3−i323+i32003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000-4420-223−232-11+3i321−3i321−1−3i32−1+3i32-23i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11-110−330000−i3i3−3+i323−i323+i32−3−i3200−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ1024-4-202−2323-21−1+3i32−1−3i32-11−3i321+3i3223i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ111-103−30000−i3i33+i32−3−i32−3+i323−i32003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000-4420-223−232-11−3i321+3i321−1+3i32−1−3i32-2−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11-110−330000i3−i3−3−i323+i323−i32−3+i3200−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ1034-4-202−2323-21−1+3i32−1−3i32-11−3i321+3i3223i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ111-103−30000i3−i3−3−i323+i323−i32−3+i3200−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000-4420-223−232-11−3i321+3i321−1+3i32−1−3i32-2−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11-110−330000−i3i33+i32−3−i32−3+i323−i32003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ10488-48-4-4-42-422-4222-4-42222-1-12-1-10000000000000000000000000000-8-84-8444-24-2-24-2-2-244-2-2-2-211-2110000000000000000000000000000
χ10588-4-8-4442-422-422244-2-2-2-2-1-1-2110000000000000000000000000000-8-8484-4-4-24-2-24-2-2-2-4-42222112-1-10000000000000000000000000000
χ1068-880-8002-4-4-4444-20000002-20000000000000000000000000000000-88-80800-2444-4-4-42000000-220000000000000000000000000000000
χ1078-8-40443−432-4224-2-2-200−232323−23-1103−30000000000000000000000000000-8840-4−4343-24-2-2-42220023−23−23231-10−330000000000000000000000000000
χ1088-8-404−43432-4224-2-2-20023−23−2323-110−330000000000000000000000000000-8840-443−43-24-2-2-422200−232323−231-103−30000000000000000000000000000

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