Finite Group Databasebeta

← Group #10690779

Character table — Group #10690779

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order1222222234444444466666664488888888121212121212121222224444888812122424242424242424242424242424242444448888888824661212888844
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−i-1-111iiii−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−iiiii-1-111iiii−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−i11-1-1−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−iiiii11-1-1−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−i-1-111−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−iiiii-1-111−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−i11-1-1iiii−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−iiiii11-1-1iiii−i−i−i−i1-111-1-1ii−i−i-11
χ1722222222222-2-2-2-2222222222-2-20000000022-2-222-2-2222222220000-2-20000000000000000-2-2-2-200000000000000000000
χ1822222222222-2-2-2-2222222222-2-20000000022-2-222-2-2-2-2-2-2-2-2-2-20000-2-20000000000000000222200000000000000000000
χ19222222222-2-22222-2-22222222-2-200000000-2-222-2-2222222-2-2-2-20000-2-2000000000000000022-2-200000000000000000000
χ20222222222-2-22222-2-22222222-2-200000000-2-222-2-222-2-2-2-222220000-2-20000000000000000-2-22200000000000000000000
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
χ2922-22-22-2-22002i−2i2i−2i0022-2-22-2-2001+i1+i−1−i−1−i1−i1−i−1+i−1+i002i−2i002i−2i000022-2-20000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000
χ3022-22-22-2-22002i−2i2i−2i0022-2-22-2-2001+i1+i−1−i−1−i1−i1−i−1+i−1+i002i−2i002i−2i0000-2-2220000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000
χ3122-22-22-2-22002i−2i2i−2i0022-2-22-2-200−1−i−1−i1+i1+i−1+i−1+i1−i1−i002i−2i002i−2i000022-2-2000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000
χ3222-22-22-2-22002i−2i2i−2i0022-2-22-2-200−1−i−1−i1+i1+i−1+i−1+i1−i1−i002i−2i002i−2i0000-2-222000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000
χ3322-22-22-2-2200−2i2i−2i2i0022-2-22-2-2001−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2i2i00−2i2i000022-2-20000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000
χ3422-22-22-2-2200−2i2i−2i2i0022-2-22-2-2001−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2i2i00−2i2i0000-2-2220000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000
χ3522-22-22-2-2200−2i2i−2i2i0022-2-22-2-200−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2i2i00−2i2i000022-2-2000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000
χ3622-22-22-2-2200−2i2i−2i2i0022-2-22-2-200−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2i2i00−2i2i0000-2-222000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000
χ3722-2-22-22-222i−2i00002i−2i2-22-2-22-200000000002i−2i002i−2i0022-2-22i−2i2i−2i1+i−1−i1−i−1+i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000001+i−1−i1−i−1+i00
χ3822-2-22-22-222i−2i00002i−2i2-22-2-22-200000000002i−2i002i−2i0022-2-22i−2i2i−2i−1−i1+i−1+i1−i0000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000−1−i1+i−1+i1−i00
χ3922-2-22-22-222i−2i00002i−2i2-22-2-22-200000000002i−2i002i−2i00-2-222−2i2i−2i2i1+i−1−i1−i−1+i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000−1−i1+i−1+i1−i00
χ4022-2-22-22-222i−2i00002i−2i2-22-2-22-200000000002i−2i002i−2i00-2-222−2i2i−2i2i−1−i1+i−1+i1−i0000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000001+i−1−i1−i−1+i00
χ4122-2-22-22-22−2i2i0000−2i2i2-22-2-22-20000000000−2i2i00−2i2i0022-2-2−2i2i−2i2i1−i−1+i1+i−1−i00000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000001−i−1+i1+i−1−i00
χ4222-2-22-22-22−2i2i0000−2i2i2-22-2-22-20000000000−2i2i00−2i2i0022-2-2−2i2i−2i2i−1+i1−i−1−i1+i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000−1+i1−i−1−i1+i00
χ4322-2-22-22-22−2i2i0000−2i2i2-22-2-22-20000000000−2i2i00−2i2i00-2-2222i−2i2i−2i1−i−1+i1+i−1−i00000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000−1+i1−i−1−i1+i00
χ4422-2-22-22-22−2i2i0000−2i2i2-22-2-22-20000000000−2i2i00−2i2i00-2-2222i−2i2i−2i−1+i1−i−1−i1+i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000001−i−1+i1+i−1−i00
χ452-222-2-22-22002i−2i−2i2i00-2-2222-2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2i2i002i−2i2-22-200000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ462-222-2-22-22002i−2i−2i2i00-2-2222-2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2i2i002i−2i-22-2200000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ472-222-2-22-22002i−2i−2i2i00-2-2222-2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2i2i002i−2i2-22-20000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ482-222-2-22-22002i−2i−2i2i00-2-2222-2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2i2i002i−2i-22-220000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ492-222-2-22-2200−2i2i2i−2i00-2-2222-2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i002i−2i00−2i2i2-22-200000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ502-222-2-22-2200−2i2i2i−2i00-2-2222-2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i002i−2i00−2i2i-22-2200000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ512-222-2-22-2200−2i2i2i−2i00-2-2222-2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i002i−2i00−2i2i2-22-20000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ522-222-2-22-2200−2i2i2i−2i00-2-2222-2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i002i−2i00−2i2i-22-220000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ532-2-222-2-2222222-2-2-2-2-2-2-2-22222-20000000022-2-2-2-2220000000000002-2000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ542-2-222-2-2222222-2-2-2-2-2-2-2-22222-20000000022-2-2-2-2220000000000002-200000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ552-2-222-2-22222-2-222-2-2-2-2-2-2222-222i−2i−2i2i−2i2i2i−2i2222-2-2-2-2000000000000-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ562-2-222-2-22222-2-222-2-2-2-2-2-2222-22−2i2i2i−2i2i−2i−2i2i2222-2-2-2-2000000000000-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ572-2-222-2-222-2-222-2-222-2-2-2-2222-222-2-222-2-22-2-2-2-22222000000000000-222-2-222-2-2200000000000000000000000000000000
χ582-2-222-2-222-2-222-2-222-2-2-2-2222-22-222-2-222-2-2-2-2-22222000000000000-22-222-2-222-200000000000000000000000000000000
χ592-2-222-2-222-2-2-2-22222-2-2-2-22222-200000000-2-22222-2-20000000000002-2000000000000000000002-2-222-2-22000000000000
χ602-2-222-2-222-2-2-2-22222-2-2-2-22222-200000000-2-22222-2-20000000000002-200000000000000000000-222-2-222-2000000000000
χ612-2-222-2-22-122-2-222-2-21111-1-1-1-222i−2i−2i2i−2i2i2i−2i-1-1-1-111110000000000001-1−iii−ii−i−ii3−33−33−33−300000000000000−i3i3−i3i3000000
χ622-2-222-2-22-122-2-222-2-21111-1-1-1-222i−2i−2i2i−2i2i2i−2i-1-1-1-111110000000000001-1−iii−ii−i−ii−33−33−33−3300000000000000i3−i3i3−i3000000
χ632-2-222-2-22-122-2-222-2-21111-1-1-1-22−2i2i2i−2i2i−2i−2i2i-1-1-1-111110000000000001-1i−i−ii−iii−i3−33−33−33−300000000000000i3−i3i3−i3000000
χ642-2-222-2-22-122-2-222-2-21111-1-1-1-22−2i2i2i−2i2i−2i−2i2i-1-1-1-111110000000000001-1i−i−ii−iii−i−33−33−33−3300000000000000−i3i3−i3i3000000
χ652-2-222-2-22-1-2-222-2-2221111-1-1-1-222-2-222-2-221111-1-1-1-10000000000001-1-111-1-111-1−i3i3−i3i3i3−i3i3−i300000000000000−i3i3i3−i3000000
χ662-2-222-2-22-1-2-222-2-2221111-1-1-1-222-2-222-2-221111-1-1-1-10000000000001-1-111-1-111-1i3−i3i3−i3−i3i3−i3i300000000000000i3−i3−i3i3000000
χ672-2-222-2-22-1-2-222-2-2221111-1-1-1-22-222-2-222-21111-1-1-1-10000000000001-11-1-111-1-11−i3i3−i3i3i3−i3i3−i300000000000000i3−i3−i3i3000000
χ682-2-222-2-22-1-2-222-2-2221111-1-1-1-22-222-2-222-21111-1-1-1-10000000000001-11-1-111-1-11i3−i3i3−i3−i3i3−i3i300000000000000−i3i3i3−i3000000
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
χ71444-4-4-4-444000000004-4-44-4-4400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ72444-4-4-4-444000000004-4-44-4-440000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ7344-44-44-4-4-2004i−4i4i−4i00-2-222-222002+2i2+2i−2−2i−2−2i2−2i2−2i−2+2i−2+2i00−2i2i00−2i2i00000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000000000000000
χ7444-44-44-4-4-2004i−4i4i−4i00-2-222-22200−2−2i−2−2i2+2i2+2i−2+2i−2+2i2−2i2−2i00−2i2i00−2i2i000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000000000000000
χ7544-44-44-4-4-200−4i4i−4i4i00-2-222-222002−2i2−2i−2+2i−2+2i2+2i2+2i−2−2i−2−2i002i−2i002i−2i00000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000000000000000000000
χ7644-44-44-4-4-200−4i4i−4i4i00-2-222-22200−2+2i−2+2i2−2i2−2i−2−2i−2−2i2+2i2+2i002i−2i002i−2i000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000000000000000000000
χ7744-4-44-44-4-24i−4i00004i−4i-22-222-220000000000−2i2i00−2i2i00000000002+2i−2−2i2−2i−2+2i0000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000
χ7844-4-44-44-4-24i−4i00004i−4i-22-222-220000000000−2i2i00−2i2i0000000000−2−2i2+2i−2+2i2−2i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000
χ7944-4-44-44-4-2−4i4i0000−4i4i-22-222-2200000000002i−2i002i−2i00000000002−2i−2+2i2+2i−2−2i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000
χ8044-4-44-44-4-2−4i4i0000−4i4i-22-222-2200000000002i−2i002i−2i0000000000−2+2i2−2i−2−2i2+2i00000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000
χ814-444-4-44-4-2004i−4i−4i4i0022-2-2-222002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i002i−2i00−2i2i00000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000000000000000
χ824-444-4-44-4-2004i−4i−4i4i0022-2-2-22200−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i002i−2i00−2i2i000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000000000000000
χ834-444-4-44-4-200−4i4i4i−4i0022-2-2-222002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i00−2i2i002i−2i00000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000000000000000
χ844-444-4-44-4-200−4i4i4i−4i0022-2-2-22200−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i00−2i2i002i−2i000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000000000000000
χ854-44-444-4-444i−4i0000−4i4i-44-44-44-400000000004i−4i00−4i4i00000000000000000000000000000000000000000000000000000000
χ864-44-444-4-44−4i4i00004i−4i-44-44-44-40000000000−4i4i004i−4i00000000000000000000000000000000000000000000000000000000
χ874-44-444-4-4-24i−4i0000−4i4i2-22-22-220000000000−2i2i002i−2i000000000000000000000000−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
χ884-44-444-4-4-24i−4i0000−4i4i2-22-22-220000000000−2i2i002i−2i000000000000000000000000ζ2−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
χ894-44-444-4-4-2−4i4i00004i−4i2-22-22-2200000000002i−2i00−2i2i000000000000000000000000−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
χ904-44-444-4-4-2−4i4i00004i−4i2-22-22-2200000000002i−2i00−2i2i000000000000000000000000ζ2+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
χ914-4-444-4-44-24444-4-4-4-42222-2-2-24-400000000-2-22222-2-2000000000000-220000000000000000000000000000000000000000
χ924-4-444-4-44-2-4-4-4-444442222-2-2-24-40000000022-2-2-2-222000000000000-220000000000000000000000000000000000000000
χ934-4-4-4-4444400000000-444-4-4-440000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ944-4-4-4-4444400000000-444-4-4-44000000000000000000-444-400000000000000000000000000000000000000000000000000
χ95888-8-8-8-88-400000000-444-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8-8-8888-4000000004-4-4444-4000000000000000000000000000000000000000000000000000000000000000000000000

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