Finite Group Databasebeta

← Group #13167108

Character table — Group #13167108

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222224444444444444444444444888888888888889999121212121212121212121212181818181818181818181818181824242424242424242424242436363636363636363636108108108108
order122234466633336666666666661212121212123666121212121212121212122222224466661212121244444444446666666666121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ811111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ91-11-11i−i1-1-11111111-1-1-1-1-1-1-11-1i−iii−i−i11-1-1iii−i−i−iii−i−i1-11-11-1i−i11-1-1ii−i−ii−i11-1-1ii−i−i11-1-1111-1-1-1iii−i−i−ii−i11-1-1ii−i−i1-1i−i
χ101-11-11i−i1-1-11111111-1-1-1-1-1-1-11-1i−iii−i−i11-1-1iii−i−i−iii−i−i1-11-11-1i−i11-1-1ii−i−ii−i-1-111−i−iii11-1-1111-1-1-1iii−i−i−ii−i-1-111−i−iii-11−ii
χ111-11-11i−i1-1-11111111-1-1-1-1-1-1-11-1i−iii−i−i11-1-1iii−i−i−iii−i−i1-11-1-11−ii-1-111−i−iiii−i11-1-1ii−i−i11-1-1-1-1-1111−i−i−iiiii−i11-1-1ii−i−i-11−ii
χ121-11-11i−i1-1-11111111-1-1-1-1-1-1-11-1i−iii−i−i11-1-1iii−i−i−iii−i−i1-11-1-11−ii-1-111−i−iiii−i-1-111−i−iii11-1-1-1-1-1111−i−i−iiiii−i-1-111−i−iii1-1i−i
χ131-11-11−ii1-1-11111111-1-1-1-1-1-1-11-1−ii−i−iii11-1-1−i−i−iiii−i−iii1-11-11-1−ii11-1-1−i−iii−ii11-1-1−i−iii11-1-1111-1-1-1−i−i−iiii−ii11-1-1−i−iii1-1−ii
χ141-11-11−ii1-1-11111111-1-1-1-1-1-1-11-1−ii−i−iii11-1-1−i−i−iiii−i−iii1-11-11-1−ii11-1-1−i−iii−ii-1-111ii−i−i11-1-1111-1-1-1−i−i−iiii−ii-1-111ii−i−i-11i−i
χ151-11-11−ii1-1-11111111-1-1-1-1-1-1-11-1−ii−i−iii11-1-1−i−i−iiii−i−iii1-11-1-11i−i-1-111ii−i−i−ii11-1-1−i−iii11-1-1-1-1-1111iii−i−i−i−ii11-1-1−i−iii-11i−i
χ161-11-11−ii1-1-11111111-1-1-1-1-1-1-11-1−ii−i−iii11-1-1−i−i−iiii−i−iii1-11-1-11i−i-1-111ii−i−i−ii-1-111ii−i−i11-1-1-1-1-1111iii−i−i−i−ii-1-111ii−i−i1-1−ii
χ172222222222222222222222222222222222222222222222-2-2-2-2000000000000-2-200000000-2-2-2-2000000000000-2-2000000000000
χ1822222-2-22222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002200000000-2-2-2-200000000000022000000000000
χ192222-122-1-1-122-1-12-1-122-1-12-1-122-1-12222-1-1-1-12-1-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12200000000-1-1-1-12-1-12-1-12-1-12-1-1-1-1000000000000
χ202222-122-1-1-122-1-12-1-122-1-12-1-122-1-12222-1-1-1-12-1-12-1-1-1-1-1-12222-2-2-2-2111111112200000000-1-1-1-1-211-211-211-211-1-1000000000000
χ212222-122-1-1-122-1-12-1-122-1-12-1-122-1-12222-1-1-1-12-1-12-1-1-1-1-1-1-2-2-2-20000−i3i3−i3i3−i3i3−i3i3-2-20000000011110−i3i30−i3i30−i3i30−i3i311000000000000
χ222222-122-1-1-122-1-12-1-122-1-12-1-122-1-12222-1-1-1-12-1-12-1-1-1-1-1-1-2-2-2-20000i3−i3i3−i3i3−i3i3−i3-2-20000000011110i3−i30i3−i30i3−i30i3−i311000000000000
χ232222-1-2-2-1-1-122-1-12-1-122-1-12-1-12211-2-2-2-2-1-1-1-1-211-2111111222222-2-2-1-1-1-11111-2-200000000-1-1-1-12-1-12-1-1-211-21111000000000000
χ242222-1-2-2-1-1-122-1-12-1-122-1-12-1-12211-2-2-2-2-1-1-1-1-211-21111112222-2-2221111-1-1-1-1-2-200000000-1-1-1-1-211-2112-1-12-1-111000000000000
χ252222-1-2-2-1-1-122-1-12-1-122-1-12-1-12211-2-2-2-2-1-1-1-1-211-2111111-2-2-2-20000−i3i3−i3i3i3−i3i3−i3220000000011110−i3i30−i3i30i3−i30i3−i3-1-1000000000000
χ262222-1-2-2-1-1-122-1-12-1-122-1-12-1-12211-2-2-2-2-1-1-1-1-211-2111111-2-2-2-20000i3−i3i3−i3−i3i3−i3i3220000000011110i3−i30i3−i30−i3i30−i3i3-1-1000000000000
χ2722-2-2200-2-222222-2-2-22222-2-2-2-2-20000002-2-2200000000002-2-22000000000000002i−2i2i−2i00002-22-2000000000000002i−2i2i−2i00000000
χ2822-2-2200-2-222222-2-2-22222-2-2-2-2-20000002-2-2200000000002-2-2200000000000000−2i2i−2i2i00002-22-200000000000000−2i2i−2i2i00000000
χ2922-2-2200-2-222222-2-2-22222-2-2-2-2-20000002-2-220000000000-222-20000000000000000002i−2i2i−2i-22-220000000000000000002i−2i2i−2i0000
χ3022-2-2200-2-222222-2-2-22222-2-2-2-2-20000002-2-220000000000-222-2000000000000000000−2i2i−2i2i-22-22000000000000000000−2i2i−2i2i0000
χ312-22-222i−2i2-2-22222222-2-2-2-2-2-2-22-22i−2i2i2i−2i−2i22-2-22i2i2i−2i−2i−2i2i2i−2i−2i-22-22000000000000−2i2i00000000-2-222000000000000−2i2i000000000000
χ322-22-22−2i2i2-2-22222222-2-2-2-2-2-2-22-2−2i2i−2i−2i2i2i22-2-2−2i−2i−2i2i2i2i−2i−2i2i2i-22-220000000000002i−2i00000000-2-2220000000000002i−2i000000000000
χ332-22-2-12i−2i-11122-1-12-1-1-2-211-2112-2−ii2i2i−2i−2i-1-1112i−i−i−2iii−i−iii2-22-22-22i−2i-1-111−i−iii2i−2i00000000-1-1112-1-1-2112i−i−i−2iii−ii000000000000
χ342-22-2-12i−2i-11122-1-12-1-1-2-211-2112-2−ii2i2i−2i−2i-1-1112i−i−i−2iii−i−iii2-22-2-22−2i2i11-1-1ii−i−i2i−2i00000000-1-111-2112-1-1−2iii2i−i−i−ii000000000000
χ352-22-2-12i−2i-11122-1-12-1-1-2-211-2112-2−ii2i2i−2i−2i-1-1112i−i−i−2iii−i−iii-22-220000−i3i3i3−i33−3−33−2i2i0000000011-1-10−i3i30i3−i303−30−33i−i000000000000
χ362-22-2-12i−2i-11122-1-12-1-1-2-211-2112-2−ii2i2i−2i−2i-1-1112i−i−i−2iii−i−iii-22-220000i3−i3−i3i3−333−3−2i2i0000000011-1-10i3−i30−i3i30−3303−3i−i000000000000
χ372-22-2-1−2i2i-11122-1-12-1-1-2-211-2112-2i−i−2i−2i2i2i-1-111−2iii2i−i−iii−i−i2-22-22-2−2i2i-1-111ii−i−i−2i2i00000000-1-1112-1-1-211−2iii2i−i−ii−i000000000000
χ382-22-2-1−2i2i-11122-1-12-1-1-2-211-2112-2i−i−2i−2i2i2i-1-111−2iii2i−i−iii−i−i2-22-2-222i−2i11-1-1−i−iii−2i2i00000000-1-111-2112-1-12i−i−i−2iiii−i000000000000
χ392-22-2-1−2i2i-11122-1-12-1-1-2-211-2112-2i−i−2i−2i2i2i-1-111−2iii2i−i−iii−i−i-22-220000−i3i3i3−i3−333−32i−2i0000000011-1-10−i3i30i3−i30−3303−3−ii000000000000
χ402-22-2-1−2i2i-11122-1-12-1-1-2-211-2112-2i−i−2i−2i2i2i-1-111−2iii2i−i−iii−i−i-22-220000i3−i3−i3i33−3−332i−2i0000000011-1-10i3−i30−i3i303−30−33−ii000000000000
χ412-2-22200-22-22222-2-2-2-2-2-2-2222-220000002-22-2000000000022-2-2000000000000002i−2i−2i2i00002-2-22000000000000002i−2i−2i2i00000000
χ422-2-22200-22-22222-2-2-2-2-2-2-2222-220000002-22-2000000000022-2-200000000000000−2i2i2i−2i00002-2-2200000000000000−2i2i2i−2i00000000
χ432-2-22200-22-22222-2-2-2-2-2-2-2222-220000002-22-20000000000-2-2220000000000000000002-2-22-222-20000000000000000002-2-220000
χ442-2-22200-22-22222-2-2-2-2-2-2-2222-220000002-22-20000000000-2-222000000000000000000-222-2-222-2000000000000000000-222-20000
χ4544444444441-2-2-2-2-2-21-2-2-2-2-2-2114411111111-2-2-2-2-2-2111100000000000000000022222222000000000000000000-1-1-1-1-1-1-1-10000
χ4644444444441-2-2-2-2-2-21-2-2-2-2-2-2114411111111-2-2-2-2-2-21111000000000000000000-2-2-2-2-2-2-2-2000000000000000000111111110000
χ474444444444-2111111-2111111-2-244-2-2-2-2-2-2-2-2111111-2-2-2-2000022222222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ484444444444-2111111-2111111-2-244-2-2-2-2-2-2-2-2111111-2-2-2-20000-2-2-2-2-2-2-2-2-2-2-2-20000000000000011111111111100000000000000
χ4944444-4-44441-2-2-2-2-2-21-2-2-2-2-2-211-4-4-1-1-1-11111222222-1-1-1-10000000000000000002222-2-2-2-2000000000000000000-1-1-1-111110000
χ5044444-4-44441-2-2-2-2-2-21-2-2-2-2-2-211-4-4-1-1-1-11111222222-1-1-1-1000000000000000000-2-2-2-222220000000000000000001111-1-1-1-10000
χ5144444-4-4444-2111111-2111111-2-2-4-42222-2-2-2-2-1-1-1-1-1-12222000022-2-22222-2-2-2-200000000000000-1-1-1-1-1-111111100000000000000
χ5244444-4-4444-2111111-2111111-2-2-4-42222-2-2-2-2-1-1-1-1-1-122220000-2-222-2-2-2-2222200000000000000111111-1-1-1-1-1-100000000000000
χ534444-244-2-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-21−1−3i32−1+3i321−1−3i32−1+3i32-2-2-2-2-2-2-2-211111−1−3i32−1+3i321−1−3i32−1+3i32111100002222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300000000000000-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i3200000000000000
χ544444-244-2-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-21−1−3i32−1+3i321−1−3i32−1+3i32-2-2-2-2-2-2-2-211111−1−3i32−1+3i321−1−3i32−1+3i3211110000-2-2-2-21+i31−i31+i31−i31+i31−i31+i31−i3000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000000000
χ554444-244-2-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-21−1+3i32−1−3i321−1+3i32−1−3i32-2-2-2-2-2-2-2-211111−1+3i32−1−3i321−1+3i32−1−3i32111100002222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300000000000000-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i3200000000000000
χ564444-244-2-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-21−1+3i32−1−3i321−1+3i32−1−3i32-2-2-2-2-2-2-2-211111−1+3i32−1−3i321−1+3i32−1−3i3211110000-2-2-2-21−i31+i31−i31+i31−i31+i31−i31+i3000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000000000
χ574444-2-4-4-2-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-21−1−3i32−1+3i321−1−3i32−1+3i32-2-22222221111-11+3i321−3i32-11+3i321−3i32-1-1-1-1000022-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300000000000000-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i3200000000000000
χ584444-2-4-4-2-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-21−1−3i32−1+3i321−1−3i32−1+3i32-2-22222221111-11+3i321−3i32-11+3i321−3i32-1-1-1-10000-2-2221+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000000000001−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i3200000000000000
χ594444-2-4-4-2-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-21−1+3i32−1−3i321−1+3i32−1−3i32-2-22222221111-11−3i321+3i32-11−3i321+3i32-1-1-1-1000022-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i300000000000000-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i3200000000000000
χ604444-2-4-4-2-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-21−1+3i32−1−3i321−1+3i32−1−3i32-2-22222221111-11−3i321+3i32-11−3i321+3i32-1-1-1-10000-2-2221−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000000000001−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i3200000000000000
χ6144-4-4400-4-441-2-2-22221-2-2-2222-1-1003-33-31-1-110000003-33-30000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000−ii−ii−ii−ii0000
χ6244-4-4400-4-441-2-2-22221-2-2-2222-1-1003-33-31-1-110000003-33-3000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000i−ii−ii−ii−i0000
χ6344-4-4400-4-441-2-2-22221-2-2-2222-1-100-33-331-1-11000000-33-330000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000−ii−iii−ii−i0000
χ6444-4-4400-4-441-2-2-22221-2-2-2222-1-100-33-331-1-11000000-33-33000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000i−ii−i−ii−ii0000
χ6544-4-4-20022-244-2-2-42244-2-2-422-4-4000000-222-200000000004-4-440000000000000000000000-22-2200000000000000000000000000
χ6644-4-4-20022-244-2-2-42244-2-2-422-4-4000000-222-20000000000-444-400000000000000000000002-22-200000000000000000000000000
χ674-44-444i−4i4-4-41-2-2-2-2-2-2-12222221-14i−4iii−i−i11-1-1−2i−2i−2i2i2i2iii−i−i00000000000000000022-2-22i2i−2i−2i000000000000000000-1-111−i−iii0000
χ684-44-444i−4i4-4-41-2-2-2-2-2-2-12222221-14i−4iii−i−i11-1-1−2i−2i−2i2i2i2iii−i−i000000000000000000-2-222−2i−2i2i2i00000000000000000011-1-1ii−i−i0000
χ694-44-444i−4i4-4-4-21111112-1-1-1-1-1-1-224i−4i−2i−2i2i2i-2-222iii−i−i−i−2i−2i2i2i00002-22i−2i22-2-22i2i−2i−2i00000000000000-1-1-1111−i−i−iiii00000000000000
χ704-44-444i−4i4-4-4-21111112-1-1-1-1-1-1-224i−4i−2i−2i2i2i-2-222iii−i−i−i−2i−2i2i2i0000-22−2i2i-2-222−2i−2i2i2i00000000000000111-1-1-1iii−i−i−i00000000000000
χ714-44-44−4i4i4-4-41-2-2-2-2-2-2-12222221-1−4i4i−i−iii11-1-12i2i2i−2i−2i−2i−i−iii00000000000000000022-2-2−2i−2i2i2i000000000000000000-1-111ii−i−i0000
χ724-44-44−4i4i4-4-41-2-2-2-2-2-2-12222221-1−4i4i−i−iii11-1-12i2i2i−2i−2i−2i−i−iii000000000000000000-2-2222i2i−2i−2i00000000000000000011-1-1−i−iii0000
χ734-44-44−4i4i4-4-4-21111112-1-1-1-1-1-1-22−4i4i2i2i−2i−2i-2-222−i−i−iiii2i2i−2i−2i00002-2−2i2i22-2-2−2i−2i2i2i00000000000000-1-1-1111iii−i−i−i00000000000000
χ744-44-44−4i4i4-4-4-21111112-1-1-1-1-1-1-22−4i4i2i2i−2i−2i-2-222−i−i−iiii2i2i−2i−2i0000-222i−2i-2-2222i2i−2i−2i00000000000000111-1-1-1−i−i−iiii00000000000000
χ754-44-4-24i−4i-222-21−1−3i32−1+3i321−1−3i32−1+3i322-11+3i321−3i32-11+3i321−3i32-22−2i2i−2i−2i2i2i11-1-1i−ζ7+2ζ112ζ7−ζ11−iζ7−2ζ11−2ζ7+ζ11ii−i−i00002-22i−2i−1−i3−1+i31+i31−i32ζ112ζ7−2ζ11−2ζ700000000000000-11+i321−i321−1−i32−1+i32−i−ζ11−ζ7iζ11ζ700000000000000
χ764-44-4-24i−4i-222-21−1−3i32−1+3i321−1−3i32−1+3i322-11+3i321−3i32-11+3i321−3i32-22−2i2i−2i−2i2i2i11-1-1i−ζ7+2ζ112ζ7−ζ11−iζ7−2ζ11−2ζ7+ζ11ii−i−i0000-22−2i2i1+i31−i3−1−i3−1+i3−2ζ11−2ζ72ζ112ζ7000000000000001−1−i32−1+i32-11+i321−i32iζ11ζ7−i−ζ11−ζ700000000000000
χ774-44-4-24i−4i-222-21−1+3i32−1−3i321−1+3i32−1−3i322-11−3i321+3i32-11−3i321+3i32-22−2i2i−2i−2i2i2i11-1-1i2ζ7−ζ11−ζ7+2ζ11−i−2ζ7+ζ11ζ7−2ζ11ii−i−i00002-22i−2i−1+i3−1−i31−i31+i32ζ72ζ11−2ζ7−2ζ1100000000000000-11−i321+i321−1+i32−1−i32−i−ζ7−ζ11iζ7ζ1100000000000000
χ784-44-4-24i−4i-222-21−1+3i32−1−3i321−1+3i32−1−3i322-11−3i321+3i32-11−3i321+3i32-22−2i2i−2i−2i2i2i11-1-1i2ζ7−ζ11−ζ7+2ζ11−i−2ζ7+ζ11ζ7−2ζ11ii−i−i0000-22−2i2i1−i31+i3−1+i3−1−i3−2ζ7−2ζ112ζ72ζ11000000000000001−1+i32−1−i32-11−i321+i32iζ7ζ11−i−ζ7−ζ1100000000000000
χ794-44-4-2−4i4i-222-21−1−3i32−1+3i321−1−3i32−1+3i322-11+3i321−3i32-11+3i321−3i32-222i−2i2i2i−2i−2i11-1-1−iζ7−2ζ11−2ζ7+ζ11i−ζ7+2ζ112ζ7−ζ11−i−iii00002-2−2i2i−1−i3−1+i31+i31−i3−2ζ11−2ζ72ζ112ζ700000000000000-11+i321−i321−1−i32−1+i32iζ11ζ7−i−ζ11−ζ700000000000000
χ804-44-4-2−4i4i-222-21−1−3i32−1+3i321−1−3i32−1+3i322-11+3i321−3i32-11+3i321−3i32-222i−2i2i2i−2i−2i11-1-1−iζ7−2ζ11−2ζ7+ζ11i−ζ7+2ζ112ζ7−ζ11−i−iii0000-222i−2i1+i31−i3−1−i3−1+i32ζ112ζ7−2ζ11−2ζ7000000000000001−1−i32−1+i32-11+i321−i32−i−ζ11−ζ7iζ11ζ700000000000000
χ814-44-4-2−4i4i-222-21−1+3i32−1−3i321−1+3i32−1−3i322-11−3i321+3i32-11−3i321+3i32-222i−2i2i2i−2i−2i11-1-1−i−2ζ7+ζ11ζ7−2ζ11i2ζ7−ζ11−ζ7+2ζ11−i−iii00002-2−2i2i−1+i3−1−i31−i31+i3−2ζ7−2ζ112ζ72ζ1100000000000000-11−i321+i321−1+i32−1−i32iζ7ζ11−i−ζ7−ζ1100000000000000
χ824-44-4-2−4i4i-222-21−1+3i32−1−3i321−1+3i32−1−3i322-11−3i321+3i32-11−3i321+3i32-222i−2i2i2i−2i−2i11-1-1−i−2ζ7+ζ11ζ7−2ζ11i2ζ7−ζ11−ζ7+2ζ11−i−iii0000-222i−2i1−i31+i3−1+i3−1−i32ζ72ζ11−2ζ7−2ζ11000000000000001−1+i32−1−i32-11−i321+i32−i−ζ7−ζ11iζ7ζ1100000000000000
χ834-4-44400-44-41-2-2-2222-1222-2-2-2-11003i−3i−3i3i1-11-10000003i−3i−3i3i0000000000000000002i−2i−2i2i-222-2000000000000000000−iii−i1-1-110000
χ844-4-44400-44-41-2-2-2222-1222-2-2-2-11003i−3i−3i3i1-11-10000003i−3i−3i3i000000000000000000−2i2i2i−2i2-2-22000000000000000000i−i−ii-111-10000
χ854-4-44400-44-41-2-2-2222-1222-2-2-2-1100−3i3i3i−3i1-11-1000000−3i3i3i−3i0000000000000000002i−2i−2i2i2-2-22000000000000000000−iii−i-111-10000
χ864-4-44400-44-41-2-2-2222-1222-2-2-2-1100−3i3i3i−3i1-11-1000000−3i3i3i−3i000000000000000000−2i2i2i−2i-222-2000000000000000000i−i−ii1-1-110000
χ874-4-44-2002-2244-2-2-422-4-4224-2-2-44000000-22-22000000000044-4-40000000000000000000000-222-200000000000000000000000000
χ884-4-44-2002-2244-2-2-422-4-4224-2-2-44000000-22-220000000000-4-44400000000000000000000002-2-2200000000000000000000000000
χ898888-488-4-4-42-422-4222-422-42222-4-42222-1-1-1-1-422-422-1-1-1-100000000000000000000000000000000000000000000000000000000
χ908888-4-8-8-4-4-42-422-4222-422-4222244-2-2-2-2-1-1-1-14-2-24-2-2111100000000000000000000000000000000000000000000000000000000
χ9188-8-8800-8-88-4222-2-2-2-4222-2-2-244000000-444-4000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-40044-42-4224-2-22-4224-2-2-2-2006-66-6-111-1000000-33-3300000000000000000000000000000000000000000000000000000000
χ9388-8-8-40044-42-4224-2-22-4224-2-2-2-200-66-66-111-10000003-33-300000000000000000000000000000000000000000000000000000000
χ9488-8-8-40044-4-42−1−3i3−1+3i3-21+3i31−3i3-42−1−3i3−1+3i3-21+3i31−3i3440000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-40044-4-42−1+3i3−1−3i3-21−3i31+3i3-42−1+3i3−1−3i3-21−3i31+3i3440000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-48i−8i-4442-422-422-24-2-24-2-22-2−4i4i2i2i−2i−2i-1-111−4i2i2i4i−2i−2i−i−iii00000000000000000000000000000000000000000000000000000000
χ978-88-8-4−8i8i-4442-422-422-24-2-24-2-22-24i−4i−2i−2i2i2i-1-1114i−2i−2i−4i2i2iii−i−i00000000000000000000000000000000000000000000000000000000
χ988-8-88800-88-8-4222-2-2-24-2-2-22224-4000000-44-44000000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4004-442-4224-2-2-24-2-2-422-22006i−6i−6i6i-11-11000000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1008-8-88-4004-442-4224-2-2-24-2-2-422-2200−6i6i6i−6i-11-110000003i−3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1018-8-88-4004-44-42−1−3i3−1+3i3-21+3i31−3i34-21+3i31−3i32−1−3i3−1+3i34-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4004-44-42−1+3i3−1−3i3-21−3i31+3i34-21−3i31+3i32−1+3i3−1−3i34-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000

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