Finite Group Databasebeta

← Group #13141165

Character table — Group #13141165

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order122222222222366666666666336666666666666666666666366666666666666666662222222266666666666666664444444412121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-11111-1-1-1-111-1-111111-1-1111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-111-1-11111-1-1-1-111-1-111111-1-1111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-111-1-11111-1-1-1-111-1-111111-1-1111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-111-1-11111-1-1-1-111-1-111111-1-1111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222222222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222222222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ19222222222222222222222222-12-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ20222222222222222222222222-12-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ2122222222-2-2-2-222222222-2-2-2-22-122222-1-1-1-1-1-1-11111111122-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2222222222-2-2-2-222222222-2-2-2-22-122222-1-1-1-1-1-1-11111111122-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ2322222222-2-2-2-222222222-2-2-2-2-12-1-1-1-1-12222222-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-1-111111111000000000000000000000000000022-2-200000000-1-1-1-11111
χ2422222222-2-2-2-222222222-2-2-2-2-12-1-1-1-1-12222222-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-1-1111111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ252222-2-2-2-222-2-22222-2-2-2-222-2-22-1222-2-2-1-1-11111-1-1-1-11111-2-2-122-2-2-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ262222-2-2-2-222-2-22222-2-2-2-222-2-22-1222-2-2-1-1-11111-1-1-1-11111-2-2-122-2-2-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ272222-2-2-2-222-2-22222-2-2-2-222-2-2-12-1-1-111222-2-2-2-22222-2-2-2-211-1-1-111-1-1-11111-1-1-1-1111100000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ282222-2-2-2-222-2-22222-2-2-2-222-2-2-12-1-1-111222-2-2-2-22222-2-2-2-211-1-1-111-1-1-11111-1-1-1-111110000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ292222-2-2-2-2-2-2222222-2-2-2-2-2-2222-1222-2-2-1-1-111111111-1-1-1-1-2-2-1-2-222-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ302222-2-2-2-2-2-2222222-2-2-2-2-2-2222-1222-2-2-1-1-111111111-1-1-1-1-2-2-1-2-222-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ312222-2-2-2-2-2-2222222-2-2-2-2-2-222-12-1-1-111222-2-2-2-2-2-2-2-2222211-111-1-1-1-1-111111111-1-1-1-100000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ322222-2-2-2-2-2-2222222-2-2-2-2-2-222-12-1-1-111222-2-2-2-2-2-2-2-2222211-111-1-1-1-1-111111111-1-1-1-10000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ3322-2-222-2-2000022-2-22-22-20000222-2-22-22-2-222-2-2000000002-2200002-2-222-2-20000000000002-22-20000000022-2-222-2-2000000000000000000000000
χ3422-2-222-2-2000022-2-22-22-20000222-2-22-22-2-222-2-2000000002-2200002-2-222-2-2000000000000-22-2200000000-2-222-2-222000000000000000000000000
χ3522-2-222-2-2000022-2-22-22-200002-12-2-22-2-111-1-111−i3−i3i3i3−i3−i3i3i32-2-10000-111-1-111−i3−i3i3i3−i3−i3i3i300002-22-2−i3−i3i3i3−i3−i3i3i3-1-111-1-111000000000000000000000000
χ3622-2-222-2-2000022-2-22-22-200002-12-2-22-2-111-1-111−i3−i3i3i3−i3−i3i3i32-2-10000-111-1-111−i3−i3i3i3−i3−i3i3i30000-22-22i3i3−i3−i3i3i3−i3−i311-1-111-1-1000000000000000000000000
χ3722-2-222-2-2000022-2-22-22-200002-12-2-22-2-111-1-111i3i3−i3−i3i3i3−i3−i32-2-10000-111-1-111i3i3−i3−i3i3i3−i3−i300002-22-2i3i3−i3−i3i3i3−i3−i3-1-111-1-111000000000000000000000000
χ3822-2-222-2-2000022-2-22-22-200002-12-2-22-2-111-1-111i3i3−i3−i3i3i3−i3−i32-2-10000-111-1-111i3i3−i3−i3i3i3−i3−i30000-22-22−i3−i3i3i3−i3−i3i3i311-1-111-1-1000000000000000000000000
χ3922-2-2-2-222000022-2-2-22-220000222-2-2-222-2-2-2-22200000000-22200002-2-2-2-2220000000000002-2-220000000022-2-2-2-222000000000000000000000000
χ4022-2-2-2-222000022-2-2-22-220000222-2-2-222-2-2-2-22200000000-22200002-2-2-2-222000000000000-222-200000000-2-22222-2-2000000000000000000000000
χ4122-2-2-2-222000022-2-2-22-2200002-12-2-2-22-11111-1-1−i3−i3i3i3i3i3−i3−i3-22-10000-11111-1-1−i3−i3i3i3i3i3−i3−i300002-2-22−i3−i3i3i3i3i3−i3−i3-1-11111-1-1000000000000000000000000
χ4222-2-2-2-222000022-2-2-22-2200002-12-2-2-22-11111-1-1−i3−i3i3i3i3i3−i3−i3-22-10000-11111-1-1−i3−i3i3i3i3i3−i3−i30000-222-2i3i3−i3−i3−i3−i3i3i311-1-1-1-111000000000000000000000000
χ4322-2-2-2-222000022-2-2-22-2200002-12-2-2-22-11111-1-1i3i3−i3−i3−i3−i3i3i3-22-10000-11111-1-1i3i3−i3−i3−i3−i3i3i300002-2-22i3i3−i3−i3−i3−i3i3i3-1-11111-1-1000000000000000000000000
χ4422-2-2-2-222000022-2-2-22-2200002-12-2-2-22-11111-1-1i3i3−i3−i3−i3−i3i3i3-22-10000-11111-1-1i3i3−i3−i3−i3−i3i3i30000-222-2−i3−i3i3i3i3i3−i3−i311-1-1-1-111000000000000000000000000
χ452-22-22-22-200002-22-22-2-22000022-22-2-22-22-22-22-2000000002-220000-22-22-22-2000000002-22-200002-22-22-22-200000000000000000000000000000000
χ462-22-22-22-200002-22-22-2-22000022-22-2-22-22-22-22-2000000002-220000-22-22-22-200000000-22-220000-22-22-22-2200000000000000000000000000000000
χ472-22-22-22-200002-22-22-2-2200002-1-22-2-221-11-11-11−i3i3−i3i3−i3i3−i3i32-2-100001-11-11-11−i3i3−i3i3−i3i3−i3i32-22-20000-11-11-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ482-22-22-22-200002-22-22-2-2200002-1-22-2-221-11-11-11−i3i3−i3i3−i3i3−i3i32-2-100001-11-11-11−i3i3−i3i3−i3i3−i3i3-22-2200001-11-11-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ492-22-22-22-200002-22-22-2-2200002-1-22-2-221-11-11-11i3−i3i3−i3i3−i3i3−i32-2-100001-11-11-11i3−i3i3−i3i3−i3i3−i32-22-20000-11-11-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000
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χ542-22-2-22-2200002-22-2-222-200002-1-22-22-21-111-11-1−i3i3−i3i3i3−i3i3−i3-22-100001-111-11-1−i3i3−i3i3i3−i3i3−i3-222-200001-11-1-11-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000
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χ572-2-222-2-222-22-22-2-2222-2-22-22-222-2-22-2-2-2-222-2-222-2-222-2-222222-22-2-2-222-2-222-2-222-2-22000000000000000000000000000000000000000000000000
χ582-2-222-2-222-22-22-2-2222-2-22-22-22-1-2-22-2-211-1-111-1-111-1-111-122-12-22-211-1-111-1-111-1-111-100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
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χ612-2-222-2-222-22-22-2-2222-2-22-22-2-1211-111-2-222-2-222-2-222-2-22-1-1-1-11-1111-1-111-1-111-1-111-10000000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
χ622-2-222-2-22-22-222-2-2222-2-2-22-2222-2-22-2-2-2-222-2-22-222-2-222-2222-22-22-2-222-2-22-222-2-222-2000000000000000000000000000000000000000000000000
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χ642-2-222-2-22-22-222-2-2222-2-2-22-222-1-2-22-2-211-1-111-11-1-111-1-1122-1-22-2211-1-111-11-1-111-1-1100000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ652-2-222-2-22-22-222-2-2222-2-2-22-22-1211-111-2-222-2-22-222-2-222-2-1-1-11-11-111-1-111-11-1-111-1-110000000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i3
χ662-2-222-2-22-22-222-2-2222-2-2-22-22-1211-111-2-222-2-22-222-2-222-2-1-1-11-11-111-1-111-11-1-111-1-110000000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i3
χ672-2-22-222-22-2-222-2-22-2-2222-2-2222-2-2222-2-22-222-22-2-22-222-2-2-222-2-22-2-22-222-22-2-22-222-2000000000000000000000000000000000000000000000000
χ682-2-22-222-22-2-222-2-22-2-2222-2-222-1-2-222211-11-1-11-111-11-1-11-2-2-12-2-2211-11-1-11-111-11-1-1100000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ692-2-22-222-22-2-222-2-22-2-2222-2-222-1-2-222211-11-1-11-111-11-1-11-2-2-12-2-2211-11-1-11-111-11-1-1100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ702-2-22-222-22-2-222-2-22-2-2222-2-22-1211-1-1-1-2-22-222-22-2-22-222-211-1-111-111-11-1-11-111-11-1-1100000000000000000000000000000000000000003−3−333−3−33
χ712-2-22-222-22-2-222-2-22-2-2222-2-22-1211-1-1-1-2-22-222-22-2-22-222-211-1-111-111-11-1-11-111-11-1-110000000000000000000000000000000000000000−333−3−333−3
χ722-2-22-222-2-222-22-2-22-2-222-222-222-2-2222-2-22-222-2-222-22-2-22-2-22-222-2-2-22-222-2-222-22-2-22000000000000000000000000000000000000000000000000
χ732-2-22-222-2-222-22-2-22-2-222-222-22-1-2-222211-11-1-111-1-11-111-1-2-2-1-222-211-11-1-111-1-11-111-100000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ742-2-22-222-2-222-22-2-22-2-222-222-22-1-2-222211-11-1-111-1-11-111-1-2-2-1-222-211-11-1-111-1-11-111-100000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ752-2-22-222-2-222-22-2-22-2-222-222-2-1211-1-1-1-2-22-222-2-222-22-2-2211-11-1-1111-11-1-111-1-11-111-100000000000000000000000000000000000000003−3−33−333−3
χ762-2-22-222-2-222-22-2-22-2-222-222-2-1211-1-1-1-2-22-222-2-222-22-2-2211-11-1-1111-11-1-111-1-11-111-10000000000000000000000000000000000000000−333−33−3−33
χ77444444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2111111111111111000000000000000000000000000000000000000000000000
χ7844444444-4-4-4-444444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2122221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ794444-4-4-4-444-4-44444-4-4-4-444-4-4-2-2-2-2-222-2-2-22222-2-2-2-22222221-2-222111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000000000
χ804444-4-4-4-4-4-4444444-4-4-4-4-4-444-2-2-2-2-222-2-2-222222222-2-2-2-222122-2-2111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000000000
χ8144-4-444-4-4000044-4-44-44-40000-24-222-224-4-444-4-400000000-22-20000-222-2-22200000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-4000044-4-44-44-40000-2-2-222-22-222-2-222−2i3−2i32i32i3−2i3−2i32i32i3-22100001-1-111-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ8344-4-444-4-4000044-4-44-44-40000-2-2-222-22-222-2-2222i32i3−2i3−2i32i32i3−2i3−2i3-22100001-1-111-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8444-4-4-4-444000044-4-4-44-440000-24-2222-24-4-4-4-444000000002-2-20000-22222-2-200000000000000000000000000000000000000000000000000000000
χ8544-4-4-4-444000044-4-4-44-440000-2-2-2222-2-22222-2-2−2i3−2i32i32i32i32i3−2i3−2i32-2100001-1-1-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8644-4-4-4-444000044-4-4-44-440000-2-2-2222-2-22222-2-22i32i3−2i3−2i3−2i3−2i32i32i32-2100001-1-1-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ874-44-44-44-400004-44-44-4-440000-242-222-2-44-44-44-400000000-22-200002-22-22-2200000000000000000000000000000000000000000000000000000000
χ884-44-44-44-400004-44-44-4-440000-2-22-222-22-22-22-22−2i32i3−2i32i3−2i32i3−2i32i3-2210000-11-11-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ894-44-44-44-400004-44-44-4-440000-2-22-222-22-22-22-222i3−2i32i3−2i32i3−2i32i3−2i3-2210000-11-11-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ904-44-4-44-4400004-44-4-444-40000-242-22-22-44-4-44-44000000002-2-200002-222-22-200000000000000000000000000000000000000000000000000000000
χ914-44-4-44-4400004-44-4-444-40000-2-22-22-222-222-22-2−2i32i3−2i32i32i3−2i32i3−2i32-210000-11-1-11-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ924-44-4-44-4400004-44-4-444-40000-2-22-22-222-222-22-22i3−2i32i3−2i3−2i32i3−2i32i32-210000-11-1-11-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ934-4-444-4-444-44-44-4-4444-4-44-44-4-2-222-22222-2-222-2-222-2-222-2-2-21-22-22-1-111-1-111-1-111-1-11000000000000000000000000000000000000000000000000
χ944-4-444-4-44-44-444-4-4444-4-4-44-44-2-222-22222-2-222-22-2-222-2-22-2-212-22-2-1-111-1-11-111-1-111-1000000000000000000000000000000000000000000000000
χ954-4-44-444-44-4-444-4-44-4-4444-4-44-2-222-2-2-222-22-2-22-222-22-2-22221-222-2-1-11-111-11-1-11-111-1000000000000000000000000000000000000000000000000
χ964-4-44-444-4-444-44-4-44-4-444-444-4-2-222-2-2-222-22-2-222-2-22-222-22212-2-22-1-11-111-1-111-11-1-11000000000000000000000000000000000000000000000000
χ97666666666666-3-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ98666666666666-3-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-2-2-2-200001111111100000000
χ9966666666-6-6-6-6-3-3-3-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000000022-2-20000-1-1-1-1111100000000
χ10066666666-6-6-6-6-3-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-2-22200001111-1-1-1-100000000
χ1016666-6-6-6-666-6-6-3-3-3-33333-3-333000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ1026666-6-6-6-666-6-6-3-3-3-33333-3-33300000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ1036666-6-6-6-6-6-666-3-3-3-3333333-3-3000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ1046666-6-6-6-6-6-666-3-3-3-3333333-3-300000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ1056-6-666-6-666-66-6-333-3-3-333-33-3300000000000000000000000000000000000000000000000000000000000000000000000000003−33−33−33−300000000
χ1066-6-666-6-666-66-6-333-3-3-333-33-330000000000000000000000000000000000000000000000000000000000000000000000000000−33−33−33−3300000000
χ1076-6-666-6-66-66-66-333-3-3-3333-33-300000000000000000000000000000000000000000000000000000000000000000000000000003−33−3−33−3300000000
χ1086-6-666-6-66-66-66-333-3-3-3333-33-30000000000000000000000000000000000000000000000000000000000000000000000000000−33−333−33−300000000
χ1096-6-66-666-66-6-66-333-333-3-3-333-30000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ1106-6-66-666-66-6-66-333-333-3-3-333-30000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ1116-6-66-666-6-666-6-333-333-3-33-3-330000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ1126-6-66-666-6-666-6-333-333-3-33-3-330000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ1131212-12-121212-12-120000-6-666-66-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12-12-1212120000-6-6666-66-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-1212-1212-1212-120000-66-66-666-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-1212-12-1212-12120000-66-666-6-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).