Finite Group Databasebeta

← Group #13181119

Character table — Group #13181119

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222244444444444444888881212121212121212121212121212121212121818363636367272108108112222244444444444444888881212121212121212121212121212121212121818363636367272108108
order12236663333666666666636666441212121212121212121212121212121244241212612882226666666666666666666666644121212121212121212121212121212124424121261288
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
χ511-11-1-111111-1-1-1-1-1-111111-11-1-11-111-1-1111111-1-1-1-1-1-1-111-11-11-11-111-11-1-111111-1-1-1-1-1-111111-11-1-11-111-1-1111111-1-1-1-1-1-1-111-11-11-11-1
χ611-11-1-111111-1-1-1-1-1-111111-11-1-11-111-1-1111111-1-1-1-1-1-1-11-111-1-11-1111-11-1-111111-1-1-1-1-1-111111-11-1-11-111-1-1111111-1-1-1-1-1-1-11-111-1-11-11
χ711-11-1-111111-1-1-1-1-1-111111-11-1-1-11-1-111-1-1-1-1-1-1111111-111-11-11-1-1111-11-1-111111-1-1-1-1-1-111111-11-1-1-11-1-111-1-1-1-1-1-1111111-111-11-11-1-11
χ811-11-1-111111-1-1-1-1-1-111111-11-1-1-11-1-111-1-1-1-1-1-1111111-11-111-1-111-111-11-1-111111-1-1-1-1-1-111111-11-1-1-11-1-111-1-1-1-1-1-1111111-11-111-1-111-1
χ922222222222222222222222222000000000000000000-2-200-2-2000022222222222222222222222222000000000000000000-2-200-2-20000
χ10222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-100−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-200110000222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-100−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-200110000
χ11222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-100i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-200110000222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-100i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-200110000
χ12222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12200-1-10000222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12200-1-10000
χ13222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-1-2-21111-2-21111-2-211112200-1-10000222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-1-2-21111-2-21111-2-211112200-1-10000
χ1422-22-2-222222-2-2-2-2-2-222222-22-2-20000000000000000002-200-22000022-22-2-222222-2-2-2-2-2-222222-22-2-20000000000000000002-200-220000
χ1522-2-111-12-1-12-2-211112-1-12-1-2-11100−i3i3i3−i300−i3−i3i3i300i3i3−i3−i32-2001-1000022-2-111-12-1-12-2-211112-1-12-1-2-11100−i3i3i3−i300−i3−i3i3i300i3i3−i3−i32-2001-10000
χ1622-2-111-12-1-12-2-211112-1-12-1-2-11100i3−i3−i3i300i3i3−i3−i300−i3−i3i3i32-2001-1000022-2-111-12-1-12-2-211112-1-12-1-2-11100i3−i3−i3i300i3i3−i3−i300−i3−i3i3i32-2001-10000
χ1722-2-111-12-1-12-2-211112-1-12-1-2-1112-2-1-11122-1-1-1-1-2-21111-2200-11000022-2-111-12-1-12-2-211112-1-12-1-2-1112-2-1-11122-1-1-1-1-2-21111-2200-110000
χ1822-2-111-12-1-12-2-211112-1-12-1-2-111-2211-1-1-2-2111122-1-1-1-1-2200-11000022-2-111-12-1-12-2-211112-1-12-1-2-111-2211-1-1-2-2111122-1-1-1-1-2200-110000
χ194444444111-2111111111-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-100000000004444444111-2111111111-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ204444444111-2111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000004444444111-2111111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000
χ214444444-2-2-21-2-2-2-2-2-2-2-2-2111111000000000000000000002200-1-1004444444-2-2-21-2-2-2-2-2-2-2-2-2111111000000000000000000002200-1-100
χ224444444-2-2-21-2-2-2-2-2-2-2-2-211111100000000000000000000-2-20011004444444-2-2-21-2-2-2-2-2-2-2-2-211111100000000000000000000-2-2001100
χ23444-2-2-2-21−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i321−1−3i32−1+3i32-21-211122−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i320000000000444-2-2-2-21−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i321−1−3i32−1+3i32-21-211122−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i320000000000
χ24444-2-2-2-21−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i321−1−3i32−1+3i32-21-2111-2-21+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i320000000000444-2-2-2-21−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i321−1−3i32−1+3i32-21-2111-2-21+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i320000000000
χ25444-2-2-2-21−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i321−1+3i32−1−3i32-21-211122−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i320000000000444-2-2-2-21−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i321−1+3i32−1−3i32-21-211122−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i320000000000
χ26444-2-2-2-21−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i321−1+3i32−1−3i32-21-2111-2-21−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i320000000000444-2-2-2-21−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i321−1+3i32−1−3i32-21-2111-2-21−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i320000000000
χ2744-44-4-44111-2-1-1-1-1-1-1111-2-22-2222-222-2-2-1-1-1-1-1-1111111000000000044-44-4-44111-2-1-1-1-1-1-1111-2-22-2222-222-2-2-1-1-1-1-1-11111110000000000
χ2844-44-4-44111-2-1-1-1-1-1-1111-2-22-222-22-2-222111111-1-1-1-1-1-1000000000044-44-4-44111-2-1-1-1-1-1-1111-2-22-222-22-2-222111111-1-1-1-1-1-10000000000
χ2944-44-4-44-2-2-21222222-2-2-211-11-1-1000000000000000000002-200-110044-44-4-44-2-2-21222222-2-2-211-11-1-1000000000000000000002-200-1100
χ3044-44-4-44-2-2-21222222-2-2-211-11-1-100000000000000000000-22001-10044-44-4-44-2-2-21222222-2-2-211-11-1-100000000000000000000-22001-100
χ3144-4-222-21−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i321−1−3i32−1+3i32-2121-1-12-2−1−i3−1+i31+i31−i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000044-4-222-21−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i321−1−3i32−1+3i32-2121-1-12-2−1−i3−1+i31+i31−i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i320000000000
χ3244-4-222-21−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i321−1−3i32−1+3i32-2121-1-1-221+i31−i3−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32000000000044-4-222-21−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i321−1−3i32−1+3i32-2121-1-1-221+i31−i3−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i320000000000
χ3344-4-222-21−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i321−1+3i32−1−3i32-2121-1-12-2−1+i3−1−i31−i31+i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000000044-4-222-21−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i321−1+3i32−1−3i32-2121-1-12-2−1+i3−1−i31−i31+i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i320000000000
χ3444-4-222-21−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i321−1+3i32−1−3i32-2121-1-1-221−i31+i3−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32000000000044-4-222-21−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i321−1+3i32−1−3i32-2121-1-1-221−i31+i3−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i320000000000
χ354-40400-4111-23-33-33-3-1-1-12-202000000003−33−33−33−33−33−300000000004-40400-4111-23-33-33-3-1-1-12-202000000003−33−33−33−33−33−30000000000
χ364-40400-4111-23-33-33-3-1-1-12-20200000000−33−33−33−33−33−3300000000004-40400-4111-23-33-33-3-1-1-12-20200000000−33−33−33−33−33−330000000000
χ374-40400-4111-2-33-33-33-1-1-12-202000000003−33−33−3−33−33−3300000000004-40400-4111-2-33-33-33-1-1-12-202000000003−33−33−3−33−33−330000000000
χ384-40400-4111-2-33-33-33-1-1-12-20200000000−33−33−333−33−33−300000000004-40400-4111-2-33-33-33-1-1-12-20200000000−33−33−333−33−33−30000000000
χ394-40400-44444000000-4-4-4-440-40000000000000000000000000000004-40400-44444000000-4-4-4-440-4000000000000000000000000000000
χ404-40-2−2i32i321−1−3i32−1+3i32-23-3−3−i323+i32−3+i323−i32-11+3i321−3i32210-1−i3i30000003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000004-40-2−2i32i321−1−3i32−1+3i32-23-3−3−i323+i32−3+i323−i32-11+3i321−3i32210-1−i3i30000003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ414-40-2−2i32i321−1−3i32−1+3i32-23-3−3−i323+i32−3+i323−i32-11+3i321−3i32210-1−i3i3000000−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000004-40-2−2i32i321−1−3i32−1+3i32-23-3−3−i323+i32−3+i323−i32-11+3i321−3i32210-1−i3i3000000−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ424-40-2−2i32i321−1+3i32−1−3i32-2-333−i32−3+i323+i32−3−i32-11−3i321+3i32210-1−i3i30000003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000004-40-2−2i32i321−1+3i32−1−3i32-2-333−i32−3+i323+i32−3−i32-11−3i321+3i32210-1−i3i30000003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ434-40-2−2i32i321−1+3i32−1−3i32-2-333−i32−3+i323+i32−3−i32-11−3i321+3i32210-1−i3i3000000−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000004-40-2−2i32i321−1+3i32−1−3i32-2-333−i32−3+i323+i32−3−i32-11−3i321+3i32210-1−i3i3000000−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ444-40-2−2i32i324-2-2400−2i32i32i3−2i3-422-4-2022i3−2i300000000000000000000000000004-40-2−2i32i324-2-2400−2i32i32i3−2i3-422-4-2022i3−2i30000000000000000000000000000
χ454-40-22i3−2i321−1−3i32−1+3i32-2-333+i32−3−i323−i32−3+i32-11+3i321−3i32210-1i3−i30000003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000004-40-22i3−2i321−1−3i32−1+3i32-2-333+i32−3−i323−i32−3+i32-11+3i321−3i32210-1i3−i30000003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ464-40-22i3−2i321−1−3i32−1+3i32-2-333+i32−3−i323−i32−3+i32-11+3i321−3i32210-1i3−i3000000−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000004-40-22i3−2i321−1−3i32−1+3i32-2-333+i32−3−i323−i32−3+i32-11+3i321−3i32210-1i3−i3000000−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ474-40-22i3−2i321−1+3i32−1−3i32-23-3−3+i323−i32−3−i323+i32-11−3i321+3i32210-1i3−i30000003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000004-40-22i3−2i321−1+3i32−1−3i32-23-3−3+i323−i32−3−i323+i32-11−3i321+3i32210-1i3−i30000003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ484-40-22i3−2i321−1+3i32−1−3i32-23-3−3+i323−i32−3−i323+i32-11−3i321+3i32210-1i3−i3000000−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000004-40-22i3−2i321−1+3i32−1−3i32-23-3−3+i323−i32−3−i323+i32-11−3i321+3i32210-1i3−i3000000−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ494-40-22i3−2i324-2-24002i3−2i3−2i32i3-422-4-202−2i32i300000000000000000000000000004-40-22i3−2i324-2-24002i3−2i3−2i32i3-422-4-202−2i32i30000000000000000000000000000
χ50888-4-4-4-4-4222-4-42222-4222-12-1-1-10000000000000000000000000000888-4-4-4-4-4222-4-42222-4222-12-1-1-10000000000000000000000000000
χ5188-8-444-4-422244-2-2-2-2-4222-1-2-111000000000000000000000000000088-8-444-4-422244-2-2-2-2-4222-1-2-1110000000000000000000000000000
χ528-80800-8-4-4-42000000444-220-20000000000000000000000000000008-80800-8-4-4-42000000444-220-2000000000000000000000000000000
χ538-80-4−4i34i34-4222002i3−2i3−2i32i34-2-2-2-101i3−i300000000000000000000000000008-80-4−4i34i34-4222002i3−2i3−2i32i34-2-2-2-101i3−i30000000000000000000000000000
χ548-80-44i3−4i34-422200−2i32i32i3−2i34-2-2-2-101−i3i300000000000000000000000000008-80-44i3−4i34-422200−2i32i32i3−2i34-2-2-2-101−i3i30000000000000000000000000000
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
χ5911-11-1-111111-1-1-1-1-1-111111-11-1-11-111-1-1111111-1-1-1-1-1-1-111-11-11-11-1-1-11-111-1-1-1-1-1111111-1-1-1-1-11-111-11-1-111-1-1-1-1-1-11111111-1-11-11-11-11
χ6011-11-1-111111-1-1-1-1-1-111111-11-1-11-111-1-1111111-1-1-1-1-1-1-11-111-1-11-11-1-11-111-1-1-1-1-1111111-1-1-1-1-11-111-11-1-111-1-1-1-1-1-11111111-11-1-111-11-1
χ6111-11-1-111111-1-1-1-1-1-111111-11-1-1-11-1-111-1-1-1-1-1-1111111-111-11-11-1-11-1-11-111-1-1-1-1-1111111-1-1-1-1-11-1111-111-1-1111111-1-1-1-1-1-11-1-11-11-111-1
χ6211-11-1-111111-1-1-1-1-1-111111-11-1-1-11-1-111-1-1-1-1-1-1111111-11-111-1-111-1-1-11-111-1-1-1-1-1111111-1-1-1-1-11-1111-111-1-1111111-1-1-1-1-1-11-11-1-111-1-11
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
χ64222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-100−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-200110000-2-2-21111-211-2-2-21111-211-21-211100i3−i3i3−i300i3i3−i3−i300i3i3−i3−i32200-1-10000
χ65222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-100i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-200110000-2-2-21111-211-2-2-21111-211-21-211100−i3i3−i3i300−i3−i3i3i300−i3−i3i3i32200-1-10000
χ66222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12200-1-10000-2-2-21111-211-2-2-21111-211-21-2111-2-21111-2-21111-2-21111-2-200110000
χ67222-1-1-1-12-1-1222-1-1-1-12-1-12-12-1-1-1-2-21111-2-21111-2-211112200-1-10000-2-2-21111-211-2-2-21111-211-21-211122-1-1-1-122-1-1-1-122-1-1-1-1-2-200110000
χ6822-22-2-222222-2-2-2-2-2-222222-22-2-20000000000000000002-200-220000-2-22-222-2-2-2-2-2222222-2-2-2-2-22-222000000000000000000-22002-20000
χ6922-2-111-12-1-12-2-211112-1-12-1-2-11100−i3i3i3−i300−i3−i3i3i300i3i3−i3−i32-2001-10000-2-221-1-11-211-222-1-1-1-1-211-2121-1-100i3−i3−i3i300i3i3−i3−i300−i3−i3i3i3-2200-110000
χ7022-2-111-12-1-12-2-211112-1-12-1-2-11100i3−i3−i3i300i3i3−i3−i300−i3−i3i3i32-2001-10000-2-221-1-11-211-222-1-1-1-1-211-2121-1-100−i3i3i3−i300−i3−i3i3i300i3i3−i3−i3-2200-110000
χ7122-2-111-12-1-12-2-211112-1-12-1-2-1112-2-1-11122-1-1-1-1-2-21111-2200-110000-2-221-1-11-211-222-1-1-1-1-211-2121-1-1-2211-1-1-2-2111122-1-1-1-12-2001-10000
χ7222-2-111-12-1-12-2-211112-1-12-1-2-111-2211-1-1-2-2111122-1-1-1-1-2200-110000-2-221-1-11-211-222-1-1-1-1-211-2121-1-12-2-1-11122-1-1-1-1-2-211112-2001-10000
χ734444444111-2111111111-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-10000000000-4-4-4-4-4-4-4-1-1-12-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-21111111111110000000000
χ744444444111-2111111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000-4-4-4-4-4-4-4-1-1-12-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ754444444-2-2-21-2-2-2-2-2-2-2-2-2111111000000000000000000002200-1-100-4-4-4-4-4-4-4222-1222222222-1-1-1-1-1-100000000000000000000-2-2001100
χ764444444-2-2-21-2-2-2-2-2-2-2-2-211111100000000000000000000-2-2001100-4-4-4-4-4-4-4222-1222222222-1-1-1-1-1-1000000000000000000002200-1-100
χ77444-2-2-2-21−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i321−1−3i32−1+3i32-21-211122−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i320000000000-4-4-42222-11+3i321−3i322-1-11+3i321+3i321−3i321−3i32-11+3i321−3i322-12-1-1-1-2-21+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i320000000000
χ78444-2-2-2-21−1−3i32−1+3i32-211−1−3i32−1−3i32−1+3i32−1+3i321−1−3i32−1+3i32-21-2111-2-21+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i320000000000-4-4-42222-11+3i321−3i322-1-11+3i321+3i321−3i321−3i32-11+3i321−3i322-12-1-1-122−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i320000000000
χ79444-2-2-2-21−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i321−1+3i32−1−3i32-21-211122−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i320000000000-4-4-42222-11−3i321+3i322-1-11−3i321−3i321+3i321+3i32-11−3i321+3i322-12-1-1-1-2-21−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i320000000000
χ80444-2-2-2-21−1+3i32−1−3i32-211−1+3i32−1+3i32−1−3i32−1−3i321−1+3i32−1−3i32-21-2111-2-21−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i320000000000-4-4-42222-11−3i321+3i322-1-11−3i321−3i321+3i321+3i32-11−3i321+3i322-12-1-1-122−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i320000000000
χ8144-44-4-44111-2-1-1-1-1-1-1111-2-22-2222-222-2-2-1-1-1-1-1-11111110000000000-4-44-444-4-1-1-12111111-1-1-122-22-2-2-22-2-222111111-1-1-1-1-1-10000000000
χ8244-44-4-44111-2-1-1-1-1-1-1111-2-22-222-22-2-222111111-1-1-1-1-1-10000000000-4-44-444-4-1-1-12111111-1-1-122-22-2-22-222-2-2-1-1-1-1-1-11111110000000000
χ8344-44-4-44-2-2-21222222-2-2-211-11-1-1000000000000000000002-200-1100-4-44-444-4222-1-2-2-2-2-2-2222-1-11-11100000000000000000000-22001-100
χ8444-44-4-44-2-2-21222222-2-2-211-11-1-100000000000000000000-22001-100-4-44-444-4222-1-2-2-2-2-2-2222-1-11-111000000000000000000002-200-1100
χ8544-4-222-21−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i321−1−3i32−1+3i32-2121-1-12-2−1−i3−1+i31+i31−i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i320000000000-4-442-2-22-11+3i321−3i32211−1−3i32−1−3i32−1+3i32−1+3i32-11+3i321−3i322-1-2-111-221+i31−i3−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i320000000000
χ8644-4-222-21−1−3i32−1+3i32-2-1-11+3i321+3i321−3i321−3i321−1−3i32−1+3i32-2121-1-1-221+i31−i3−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i320000000000-4-442-2-22-11+3i321−3i32211−1−3i32−1−3i32−1+3i32−1+3i32-11+3i321−3i322-1-2-1112-2−1−i3−1+i31+i31−i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i320000000000
χ8744-4-222-21−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i321−1+3i32−1−3i32-2121-1-12-2−1+i3−1−i31−i31+i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i320000000000-4-442-2-22-11−3i321+3i32211−1+3i32−1+3i32−1−3i32−1−3i32-11−3i321+3i322-1-2-111-221−i31+i3−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i320000000000
χ8844-4-222-21−1+3i32−1−3i32-2-1-11−3i321−3i321+3i321+3i321−1+3i32−1−3i32-2121-1-1-221−i31+i3−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i320000000000-4-442-2-22-11−3i321+3i32211−1+3i32−1+3i32−1−3i32−1−3i32-11−3i321+3i322-1-2-1112-2−1+i3−1−i31−i31+i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i320000000000
χ894-40400-4111-23-33-33-3-1-1-12-202000000003−33−33−33−33−33−30000000000-440-4004-1-1-12-33-33-33111-220-200000000−33−33−33−33−33−330000000000
χ904-40400-4111-23-33-33-3-1-1-12-20200000000−33−33−33−33−33−330000000000-440-4004-1-1-12-33-33-33111-220-2000000003−33−33−33−33−33−30000000000
χ914-40400-4111-2-33-33-33-1-1-12-202000000003−33−33−3−33−33−330000000000-440-4004-1-1-123-33-33-3111-220-200000000−33−33−333−33−33−30000000000
χ924-40400-4111-2-33-33-33-1-1-12-20200000000−33−33−333−33−33−30000000000-440-4004-1-1-123-33-33-3111-220-2000000003−33−33−3−33−33−330000000000
χ934-40400-44444000000-4-4-4-440-4000000000000000000000000000000-440-4004-4-4-4-40000004444-404000000000000000000000000000000
χ944-40-2−2i32i321−1−3i32−1+3i32-23-3−3−i323+i32−3+i323−i32-11+3i321−3i32210-1−i3i30000003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000-44022i3−2i3-2-11+3i321−3i322-333+i32−3−i323−i32−3+i321−1−3i32−1+3i32-2-101i3−i3000000−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ954-40-2−2i32i321−1−3i32−1+3i32-23-3−3−i323+i32−3+i323−i32-11+3i321−3i32210-1−i3i3000000−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000-44022i3−2i3-2-11+3i321−3i322-333+i32−3−i323−i32−3+i321−1−3i32−1+3i32-2-101i3−i30000003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ964-40-2−2i32i321−1+3i32−1−3i32-2-333−i32−3+i323+i32−3−i32-11−3i321+3i32210-1−i3i30000003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000-44022i3−2i3-2-11−3i321+3i3223-3−3+i323−i32−3−i323+i321−1+3i32−1−3i32-2-101i3−i3000000−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ974-40-2−2i32i321−1+3i32−1−3i32-2-333−i32−3+i323+i32−3−i32-11−3i321+3i32210-1−i3i3000000−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000-44022i3−2i3-2-11−3i321+3i3223-3−3+i323−i32−3−i323+i321−1+3i32−1−3i32-2-101i3−i30000003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ984-40-2−2i32i324-2-2400−2i32i32i3−2i3-422-4-2022i3−2i30000000000000000000000000000-44022i3−2i3-2-422-4002i3−2i3−2i32i34-2-2420-2−2i32i30000000000000000000000000000
χ994-40-22i3−2i321−1−3i32−1+3i32-2-333+i32−3−i323−i32−3+i32-11+3i321−3i32210-1i3−i30000003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000-4402−2i32i3-2-11+3i321−3i3223-3−3−i323+i32−3+i323−i321−1−3i32−1+3i32-2-101−i3i3000000−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ1004-40-22i3−2i321−1−3i32−1+3i32-2-333+i32−3−i323−i32−3+i32-11+3i321−3i32210-1i3−i3000000−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000-4402−2i32i3-2-11+3i321−3i3223-3−3−i323+i32−3+i323−i321−1−3i32−1+3i32-2-101−i3i30000003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ1014-40-22i3−2i321−1+3i32−1−3i32-23-3−3+i323−i32−3−i323+i32-11−3i321+3i32210-1i3−i30000003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000-4402−2i32i3-2-11−3i321+3i322-333−i32−3+i323+i32−3−i321−1+3i32−1−3i32-2-101−i3i3000000−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ1024-40-22i3−2i321−1+3i32−1−3i32-23-3−3+i323−i32−3−i323+i32-11−3i321+3i32210-1i3−i3000000−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000-4402−2i32i3-2-11−3i321+3i322-333−i32−3+i323+i32−3−i321−1+3i32−1−3i32-2-101−i3i30000003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ1034-40-22i3−2i324-2-24002i3−2i3−2i32i3-422-4-202−2i32i30000000000000000000000000000-4402−2i32i3-2-422-400−2i32i32i3−2i34-2-2420-22i3−2i30000000000000000000000000000
χ104888-4-4-4-4-4222-4-42222-4222-12-1-1-10000000000000000000000000000-8-8-844444-2-2-244-2-2-2-24-2-2-21-21110000000000000000000000000000
χ10588-8-444-4-422244-2-2-2-2-4222-1-2-1110000000000000000000000000000-8-884-4-444-2-2-2-4-422224-2-2-2121-1-10000000000000000000000000000
χ1068-80800-8-4-4-42000000444-220-2000000000000000000000000000000-880-8008444-2000000-4-4-42-202000000000000000000000000000000
χ1078-80-4−4i34i34-4222002i3−2i3−2i32i34-2-2-2-101i3−i30000000000000000000000000000-88044i3−4i3-44-2-2-200−2i32i32i3−2i3-422210-1−i3i30000000000000000000000000000
χ1088-80-44i3−4i34-422200−2i32i32i3−2i34-2-2-2-101−i3i30000000000000000000000000000-8804−4i34i3-44-2-2-2002i3−2i3−2i32i3-422210-1i3−i30000000000000000000000000000

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