Finite Group Databasebeta

← Group #10695280

Character table — Group #10695280

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666448888888812121212121212124444444488881212242424242424242424242424242424244444888888884412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111111-1-1-1-1-1-1-1-1111111111iiii−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-111-1-1ii−i−i1-1
χ10111111111-1-1-1-1-1-1-1-1111111111iiii−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii11iiii−i−i−i−i−i−i−i−iiiii11-1-1iiii−i−i−i−i-11-1-111−i−iii-11
χ11111111111-1-1-1-1-1-1-1-1111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i11iiii−i−i−i−iiiii−i−i−i−i-1-111−i−i−i−iiiii1-111-1-1−i−iii-11
χ12111111111-1-1-1-1-1-1-1-1111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii11iiii−i−i−i−i−i−i−i−iiiii-1-111−i−i−i−iiiii-11-1-111ii−i−i1-1
χ13111111111-1-1-1-1-1-1-1-1111111111−i−i−i−iiiii-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i11−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−i−i−iiiii-11-1-111ii−i−i-11
χ14111111111-1-1-1-1-1-1-1-1111111111−i−i−i−iiiii-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-111-1-1−i−iii1-1
χ15111111111-1-1-1-1-1-1-1-1111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-1-111iiii−i−i−i−i-11-1-111−i−iii1-1
χ16111111111-1-1-1-1-1-1-1-1111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii11−i−i−i−iiiii−i−i−i−iiiii-1-111iiii−i−i−i−i1-111-1-1ii−i−i-11
χ1722222222222-2-2-2-2222222222-2-20000000022-2-222-2-22222-2-2-2-20000-2-20000000000000000-2-22200000000000000000000
χ1822222222222-2-2-2-2222222222-2-20000000022-2-222-2-2-2-2-2-222220000-2-2000000000000000022-2-200000000000000000000
χ19222222222-2-22222-2-22222222-2-200000000-2-222-2-222222222220000-2-20000000000000000-2-2-2-200000000000000000000
χ20222222222-2-22222-2-22222222-2-200000000-2-222-2-222-2-2-2-2-2-2-2-20000-2-20000000000000000222200000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1222i2i2i2i−2i−2i−2i−2i11111111000000002i2i−2i−2i-1-1−i−i−i−iiiii−i−i−i−iiiii0000000000002-2-1-111000000
χ2622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1222i2i2i2i−2i−2i−2i−2i1111111100000000−2i−2i2i2i-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000-2211-1-1000000
χ2722222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122−2i−2i−2i−2i2i2i2i2i11111111000000002i2i−2i−2i-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000-2211-1-1000000
χ2822222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122−2i−2i−2i−2i2i2i2i2i1111111100000000−2i−2i2i2i-1-1iiii−i−i−i−iiiii−i−i−i−i0000000000002-2-1-111000000
χ292222-2-2-2-222222-2-2-2-2-2-2222-2-22-222-2-222-2-222-2-2-2-2220000000000002-222-2-222-2-200000000000000000000000000000000
χ302222-2-2-2-222222-2-2-2-2-2-2222-2-22-2-2-222-2-22222-2-2-2-2220000000000002-2-2-222-2-22200000000000000000000000000000000
χ312222-2-2-2-2222-2-222-2-2-2-2222-2-2-22000000002222-2-2-2-2000000000000-220000000000000000000022-2-222-2-2000000000000
χ322222-2-2-2-2222-2-222-2-2-2-2222-2-2-22000000002222-2-2-2-2000000000000-2200000000000000000000-2-222-2-222000000000000
χ332222-2-2-2-22-2-222-2-222-2-2222-2-2-2200000000-2-2-2-22222000000000000-22000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ342222-2-2-2-22-2-222-2-222-2-2222-2-2-2200000000-2-2-2-22222000000000000-2200000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ352222-2-2-2-22-2-2-2-22222-2-2222-2-22-22i2i−2i−2i−2i−2i2i2i-2-22222-2-20000000000002-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ362222-2-2-2-22-2-2-2-22222-2-2222-2-22-2−2i−2i2i2i2i2i−2i−2i-2-22222-2-20000000000002-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ372222-2-2-2-2-12222-2-2-2-211-1-1-1112-222-2-222-2-2-1-11111-1-1000000000000-11-1-111-1-11133−3−333−3−3000000000000003−33−3000000
χ382222-2-2-2-2-12222-2-2-2-211-1-1-1112-222-2-222-2-2-1-11111-1-1000000000000-11-1-111-1-111−3−333−3−33300000000000000−33−33000000
χ392222-2-2-2-2-12222-2-2-2-211-1-1-1112-2-2-222-2-222-1-11111-1-1000000000000-1111-1-111-1-133−3−333−3−300000000000000−33−33000000
χ402222-2-2-2-2-12222-2-2-2-211-1-1-1112-2-2-222-2-222-1-11111-1-1000000000000-1111-1-111-1-1−3−333−3−333000000000000003−33−3000000
χ412222-2-2-2-2-1-2-2-2-2222211-1-1-1112-22i2i−2i−2i−2i−2i2i2i11-1-1-1-111000000000000-11−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i300000000000000−333−3000000
χ422222-2-2-2-2-1-2-2-2-2222211-1-1-1112-22i2i−2i−2i−2i−2i2i2i11-1-1-1-111000000000000-11−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3000000000000003−3−33000000
χ432222-2-2-2-2-1-2-2-2-2222211-1-1-1112-2−2i−2i2i2i2i2i−2i−2i11-1-1-1-111000000000000-11ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3000000000000003−3−33000000
χ442222-2-2-2-2-1-2-2-2-2222211-1-1-1112-2−2i−2i2i2i2i2i−2i−2i11-1-1-1-111000000000000-11ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i300000000000000−333−3000000
χ4522-2-22-22-22002i−2i2i−2i002-22-2-22-20000000000002i−2i002i−2i22-2-22i2i−2i−2i1+i−1−i1−i−1+i00000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000001+i−1−i1−i−1+i00
χ4622-2-22-22-22002i−2i2i−2i002-22-2-22-20000000000002i−2i002i−2i22-2-22i2i−2i−2i−1−i1+i−1+i1−i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000−1−i1+i−1+i1−i00
χ4722-2-22-22-22002i−2i2i−2i002-22-2-22-20000000000002i−2i002i−2i-2-222−2i−2i2i2i1+i−1−i1−i−1+i00000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000−1−i1+i−1+i1−i00
χ4822-2-22-22-22002i−2i2i−2i002-22-2-22-20000000000002i−2i002i−2i-2-222−2i−2i2i2i−1−i1+i−1+i1−i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000001+i−1−i1−i−1+i00
χ4922-2-22-22-2200−2i2i−2i2i002-22-2-22-2000000000000−2i2i00−2i2i22-2-2−2i−2i2i2i1−i−1+i1+i−1−i00000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000001−i−1+i1+i−1−i00
χ5022-2-22-22-2200−2i2i−2i2i002-22-2-22-2000000000000−2i2i00−2i2i22-2-2−2i−2i2i2i−1+i1−i−1−i1+i0000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000−1+i1−i−1−i1+i00
χ5122-2-22-22-2200−2i2i−2i2i002-22-2-22-2000000000000−2i2i00−2i2i-2-2222i2i−2i−2i1−i−1+i1+i−1−i00000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000−1+i1−i−1−i1+i00
χ5222-2-22-22-2200−2i2i−2i2i002-22-2-22-2000000000000−2i2i00−2i2i-2-2222i2i−2i−2i−1+i1−i−1−i1+i0000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000001−i−1+i1+i−1−i00
χ532-22-22-2-2222i−2i00002i−2i2-2-22-2-22001+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i002i−2i002-22-200000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ542-22-22-2-2222i−2i00002i−2i2-2-22-2-22001+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i002i−2i00-22-2200000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ552-22-22-2-2222i−2i00002i−2i2-2-22-2-2200−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i002i−2i002-22-20000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ562-22-22-2-2222i−2i00002i−2i2-2-22-2-2200−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i002i−2i00-22-220000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ572-22-22-2-222−2i2i0000−2i2i2-2-22-2-22001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i00−2i2i002-22-200000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ582-22-22-2-222−2i2i0000−2i2i2-2-22-2-22001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i00−2i2i00-22-2200000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ592-22-22-2-222−2i2i0000−2i2i2-2-22-2-2200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i00−2i2i002-22-20000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ602-22-22-2-222−2i2i0000−2i2i2-2-22-2-2200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i00−2i2i00-22-220000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ612-22-2-222-222i−2i0000−2i2i-22-22-22-2001+i−1−i−1−i1+i1−i−1+i−1+i1−i2i−2i00−2i2i0000002i−2i2i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000002-2001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000
χ622-22-2-222-222i−2i0000−2i2i-22-22-22-2001+i−1−i−1−i1+i1−i−1+i−1+i1−i2i−2i00−2i2i000000−2i2i−2i2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000-2200−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000
χ632-22-2-222-222i−2i0000−2i2i-22-22-22-200−1−i1+i1+i−1−i−1+i1−i1−i−1+i2i−2i00−2i2i0000002i−2i2i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000002-200−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000
χ642-22-2-222-222i−2i0000−2i2i-22-22-22-200−1−i1+i1+i−1−i−1+i1−i1−i−1+i2i−2i00−2i2i000000−2i2i−2i2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000-22001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000
χ652-22-2-222-22−2i2i00002i−2i-22-22-22-2001−i−1+i−1+i1−i1+i−1−i−1−i1+i−2i2i002i−2i0000002i−2i2i−2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000-2200−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000
χ662-22-2-222-22−2i2i00002i−2i-22-22-22-2001−i−1+i−1+i1−i1+i−1−i−1−i1+i−2i2i002i−2i000000−2i2i−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000002-2001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000
χ672-22-2-222-22−2i2i00002i−2i-22-22-22-200−1+i1−i1−i−1+i−1−i1+i1+i−1−i−2i2i002i−2i0000002i−2i2i−2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000-22001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000
χ682-22-2-222-22−2i2i00002i−2i-22-22-22-200−1+i1−i1−i−1+i−1−i1+i1+i−1−i−2i2i002i−2i000000−2i2i−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000002-200−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000
χ6944444444-244-4-4-4-444-2-2-2-2-2-2-2-4-400000000-2-222-2-222000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-40000000022-2-222-2-2000000000000220000000000000000000000000000000000000000
χ714444-4-4-4-4-244-4-444-4-422-2-2-222-4400000000-2-2-2-222220000000000002-20000000000000000000000000000000000000000
χ724444-4-4-4-4-2-4-444-4-44422-2-2-222-44000000002222-2-2-2-20000000000002-20000000000000000000000000000000000000000
χ7344-4-44-44-4-2004i−4i4i−4i00-22-222-22000000000000−2i2i00−2i2i000000002+2i−2−2i2−2i−2+2i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000
χ7444-4-44-44-4-2004i−4i4i−4i00-22-222-22000000000000−2i2i00−2i2i00000000−2−2i2+2i−2+2i2−2i00000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000
χ7544-4-44-44-4-200−4i4i−4i4i00-22-222-220000000000002i−2i002i−2i000000002−2i−2+2i2+2i−2−2i0000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ7644-4-44-44-4-200−4i4i−4i4i00-22-222-220000000000002i−2i002i−2i00000000−2+2i2−2i−2−2i2+2i00000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ7744-4-4-44-444004i−4i−4i4i00-444-4-4-44000000000000−4i4i004i−4i000000000000000000000000000000000000000000000000000000
χ7844-4-4-44-44400−4i4i4i−4i00-444-4-4-440000000000004i−4i00−4i4i000000000000000000000000000000000000000000000000000000
χ7944-4-4-44-44-2004i−4i−4i4i002-2-2222-20000000000002i−2i00−2i2i0000000000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11000000000000000000000000
χ8044-4-4-44-44-2004i−4i−4i4i002-2-2222-20000000000002i−2i00−2i2i0000000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11000000000000000000000000
χ8144-4-4-44-44-200−4i4i4i−4i002-2-2222-2000000000000−2i2i002i−2i0000000000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11000000000000000000000000
χ8244-4-4-44-44-200−4i4i4i−4i002-2-2222-2000000000000−2i2i002i−2i0000000000000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11000000000000000000000000
χ834-44-44-4-44-24i−4i00004i−4i-222-222-2002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i−2i2i00−2i2i0000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000000000000000
χ844-44-44-4-44-24i−4i00004i−4i-222-222-200−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i−2i2i00−2i2i00000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000000000000000
χ854-44-44-4-44-2−4i4i0000−4i4i-222-222-2002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i2i−2i002i−2i0000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000000000000000
χ864-44-44-4-44-2−4i4i0000−4i4i-222-222-200−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i2i−2i002i−2i00000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000000000000000
χ874-44-4-444-4-24i−4i0000−4i4i2-22-22-22002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i−2i2i002i−2i0000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000000000000000000000000000
χ884-44-4-444-4-24i−4i0000−4i4i2-22-22-2200−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i−2i2i002i−2i00000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000000000000000000000000000
χ894-44-4-444-4-2−4i4i00004i−4i2-22-22-22002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i2i−2i00−2i2i0000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000000000000000000000000000
χ904-44-4-444-4-2−4i4i00004i−4i2-22-22-2200−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i2i−2i00−2i2i00000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000000000000000000000000000
χ914-4-4444-4-440000000044-4-44-4-40000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ924-4-4444-4-440000000044-4-44-4-4000000000000000000-444-400000000000000000000000000000000000000000000000000
χ934-4-44-4-444400000000-4-4-4-444400000000000000000000004-4-440000000000000000000000000000000000000000000000
χ944-4-44-4-444400000000-4-4-4-44440000000000000000000000-444-40000000000000000000000000000000000000000000000
χ958-8-8888-8-8-400000000-4-444-444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-8-888-4000000004444-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000

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