Finite Group Databasebeta

← Group #11812987

Character table — Group #11812987

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order12222222336666666666666622344446666666666612121212121212122222444412121212121212126666661212121212121212121212124444444466661212121212121212441212121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11-11111-1-1-1-111-1-1-11
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-11111-1-1111-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1111-1
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-11
χ9111111111111111111111111-1-1111-1-1-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ10111111111111111111111111-1-1111-1-1-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ11111111111111111111111111-1-1111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111
χ12111111111111111111111111-1-1111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1
χ13111111111111111111111111-1-11-1-111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1111-1-111-1-111-1-11-1
χ14111111111111111111111111-1-11-1-111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-111111-1-1-111-1-111-1-111-11
χ15111111111111111111111111-1-11-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1-111-11
χ16111111111111111111111111-1-11-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-11-1
χ17222222222-122-1-1-1-12-1222-12-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-122-1-1-1-12-1222-12-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111111110000000000000000
χ19222222222-122-1-1-1-12-1222-12-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-21111111122-1-1-1-1-2-2-2-21111111122-2-20000-1-1-1-1-1-1-1-111110000000000000000
χ20222222222-122-1-1-1-12-1222-12-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-222000011111111-1-1-1-10000000000000000
χ21222222222-122-1-1-1-12-1222-12-1-2-2-122-2-21111-1-1-1-1-1-1-11111-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2111122-2-2-1-1-1-11111-2-2-2-20000-1-1-1-1111111110000000000000000
χ22222222222-122-1-1-1-12-1222-12-1-2-2-122-2-21111-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2111122-2-2-1-1-1-11111222200001111-1-1-1-1-1-1-1-10000000000000000
χ23222222222-122-1-1-1-12-1222-12-1-2-2-1-2-2221111-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-211111111-2-21111-2-2221111-1-1-1-1-2-2220000-1-1-1-11111-1-1-1-10000000000000000
χ24222222222-122-1-1-1-12-1222-12-1-2-2-1-2-2221111-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-2-2221111-1-1-1-122-2-200001111-1-1-1-111110000000000000000
χ2522222222-12-1-12222-12-1-1-12-1222-122222222-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-12222-12-1-1-12-1222-122222222-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-211111111000000
χ2722222222-12-1-12222-12-1-1-12-1222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1-1111111111111000022-2-20000000000002-2-1-1-1-11111000000
χ2822222222-12-1-12222-12-1-1-12-1222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1-11111111111110000-2-222000000000000-221111-1-1-1-1000000
χ2922222222-12-1-12222-12-1-1-12-12-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222220000000000000000111111-1-111-1-1-1-1111100002222000000000000-2-2-1-11111-1-1000000
χ3022222222-12-1-12222-12-1-1-12-12-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222220000000000000000111111-1-111-1-1-1-111110000-2-2-2-20000000000002211-1-1-1-111000000
χ3122222222-12-1-12222-12-1-1-12-12-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2000000000000000011111111-1-11111-1-1-1-1000022-2-2000000000000-22-1-111-1-111000000
χ3222222222-12-1-12222-12-1-1-12-12-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2000000000000000011111111-1-11111-1-1-1-10000-2-2220000000000002-211-1-111-1-1000000
χ33222-22-2-2-2222-222-2-22-22-2-2-2-220020000000022-2-2-22-200000000000022-2-22222-2-2-2-20000000000000000000000002i−2i000000000000000000002i−2i2i−2i0000
χ34222-22-2-2-2222-222-2-22-22-2-2-2-220020000000022-2-2-22-200000000000022-2-22222-2-2-2-2000000000000000000000000−2i2i00000000000000000000−2i2i−2i2i0000
χ35222-22-2-2-2222-222-2-22-22-2-2-2-220020000000022-2-2-22-2000000000000-2-222-2-2-2-222220000000000000000000000002i−2i000000000000000000002i−2i−2i2i0000
χ36222-22-2-2-2222-222-2-22-22-2-2-2-220020000000022-2-2-22-2000000000000-2-222-2-2-2-22222000000000000000000000000−2i2i00000000000000000000−2i2i2i−2i0000
χ3722-22-2-22-2222-22-22-2-2-2-2222-2-20022i−2i0000002-222-2-2-200002i2i−2i−2i22-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000002i−2i002i2i−2i−2i00000000000022-2-2000000000000000000000000
χ3822-22-2-22-2222-22-22-2-2-2-2222-2-20022i−2i0000002-222-2-2-200002i2i−2i−2i-2-222−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000002i−2i002i2i−2i−2i000000000000-2-222000000000000000000000000
χ3922-22-2-22-2222-22-22-2-2-2-2222-2-2002−2i2i0000002-222-2-2-20000−2i−2i2i2i22-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000−2i2i00−2i−2i2i2i00000000000022-2-2000000000000000000000000
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χ4122-22-2-22-22-12-2-11-11-21-222-1-2100-12i−2i00−i3−i3i3i3-11-1-111133−3−3−i−iii22-2-22i−2i2i−2i−i−iii−i−iii00−i3−i3i3i32i−2i00−i−iii33−3−300000000-1-111−i3−i3i3i333−3−30000000000000000
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χ4522-22-2-22-22-12-2-11-11-21-222-1-2100-1−2i2i00−i3−i3i3i3-11-1-1111−3−333ii−i−i22-2-2−2i2i−2i2iii−i−iii−i−i00−i3−i3i3i3−2i2i00ii−i−i−3−33300000000-1-111−i3−i3i3i3−3−3330000000000000000
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χ4722-22-2-22-22-12-2-11-11-21-222-1-2100-1−2i2i00i3i3−i3−i3-11-1-111133−3−3ii−i−i22-2-2−2i2i−2i2iii−i−iii−i−i00i3i3−i3−i3−2i2i00ii−i−i33−3−300000000-1-111i3i3−i3−i333−3−30000000000000000
χ4822-22-2-22-22-12-2-11-11-21-222-1-2100-1−2i2i00i3i3−i3−i3-11-1-111133−3−3ii−i−i-2-2222i−2i2i−2i−i−iii−i−iii00i3i3−i3−i3−2i2i00ii−i−i33−3−30000000011-1-1−i3−i3i3i3−3−3330000000000000000
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χ5022-2-2-22-2222222-2-22-22-2-2-2-22-2002000000002-2-2-22-220000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000−2i2i0000000000000000−2i2i00000000-2200
χ5122-2-2-22-2222222-2-22-22-2-2-2-22-2002000000002-2-2-22-22000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000002i−2i00000000000000002i−2i00000000-2200
χ5222-2-2-22-2222222-2-22-22-2-2-2-22-2002000000002-2-2-22-22000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000−2i2i0000000000000000−2i2i000000002-200
χ532-222-22-2-222-22-22-22-2-222-22-2-2002002i−2i0000-222-22-2-22i−2i2i−2i00002-22-2000000000000000000002i−2i00002i−2i2i−2i002i−2i00002-22-200002i−2i2i−2i0000000000000000
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χ662-2-222-2-2222-2-2-2-2-2-222-22-22222-2200002-2-22-2-22-2-22200000000-222-20000000000002-22-2-22000000000000-22000000-222-2-222-200000000000000000000
χ672-2-222-2-2222-2-2-2-2-2-222-22-2222-2220000-222-2-2-22-2-222000000002-2-22000000000000-22-222-2000000000000-220000002-2-22-222-200000000000000000000
χ682-2-222-2-2222-2-2-2-2-2-222-22-2222-2220000-222-2-2-22-2-22200000000-222-2000000000000-22-222-20000000000002-2000000-222-22-2-2200000000000000000000
χ692-2-222-2-222-1-2-211112-1-22-2-12-12-2-10000-111-111-111-1-1−i3i3i3−i3−i3i3i3−i32-2-220000−i3i3i3−i3−i3i3i3−i32-2-111-10000−i3i3i3−i3−i3i3i3−i32-2000000-111-1-111-1−i3i3i3−i30000000000000000
χ702-2-222-2-222-1-2-211112-1-22-2-12-12-2-10000-111-111-111-1-1−i3i3i3−i3−i3i3i3−i3-222-20000i3−i3−i3i3i3−i3−i3i32-2-111-10000−i3i3i3−i3−i3i3i3−i3-220000001-1-111-1-11i3−i3−i3i30000000000000000
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χ742-2-222-2-222-1-2-211112-1-22-2-12-1-22-100001-1-1111-111-1-1−i3i3i3−i3i3−i3−i3i3-222-20000−i3i3i3−i3−i3i3i3−i3-221-1-110000i3−i3−i3i3−i3i3i3−i32-20000001-1-11-111-1i3−i3−i3i30000000000000000
χ752-2-222-2-222-1-2-211112-1-22-2-12-1-22-100001-1-1111-111-1-1i3−i3−i3i3−i3i3i3−i32-2-220000−i3i3i3−i3−i3i3i3−i3-221-1-110000−i3i3i3−i3i3−i3−i3i3-22000000-111-11-1-11i3−i3−i3i30000000000000000
χ762-2-222-2-222-1-2-211112-1-22-2-12-1-22-100001-1-1111-111-1-1i3−i3−i3i3−i3i3i3−i3-222-20000i3−i3−i3i3i3−i3−i3i3-221-1-110000−i3i3i3−i3i3−i3−i3i32-20000001-1-11-111-1−i3i3i3−i30000000000000000
χ7744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-24414444-2-2-2-21111111-2-2-2-2-2-2-2-20000000000000000-2-21111-2-2-2-211111111000000000000000000000000000000000000
χ7844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-4-4-4-2-2-2-21111111222222220000000000000000-2-211112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
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χ83444-44-4-4-4-24-2244-4-4-2-4-222-42400-200000000-2-2222-220000000000000000000000000000000000000000000000004i−4i00000000000000000000−2i2i000000
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χ8744-44-4-44-4-2-2-22-22-22222-2-2-2220014i−4i00−2i3−2i32i32i31-111-1-1-12323−23−23−2i−2i2i2i000000000000000000i3i3−i3−i3−2i2i00ii−i−i−3−333000000000000000000000000000000000000
χ8844-44-4-44-4-2-2-22-22-22222-2-2-2220014i−4i002i32i3−2i3−2i31-111-1-1-1−23−232323−2i−2i2i2i000000000000000000−i3−i3i3i3−2i2i00ii−i−i33−3−3000000000000000000000000000000000000
χ8944-44-4-44-4-2-2-22-22-22222-2-2-222001−4i4i00−2i3−2i32i32i31-111-1-1-1−23−2323232i2i−2i−2i000000000000000000i3i3−i3−i32i−2i00−i−iii33−3−3000000000000000000000000000000000000
χ9044-44-4-44-4-2-2-22-22-22222-2-2-222001−4i4i002i32i3−2i3−2i31-111-1-1-12323−23−232i2i−2i−2i000000000000000000−i3−i3i3i32i−2i00−i−iii−3−333000000000000000000000000000000000000
χ9144-4-4-44-444-244-222-2-4-2-4-4-424200-200000000-2222-22-20000000000004i−4i−4i4i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ9244-4-4-44-444-244-222-2-4-2-4-4-424200-200000000-2222-22-2000000000000−4i4i4i−4i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ9344-4-4-44-44-24-2-24-4-4424222-4-2-400-200000000-2222-22-200000000000000000000000000000000000000000000004i−4i0000000000000000−2i2i000000000000
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χ954-444-44-4-4-242-2-44-442-4-2-2242-400-2004i−4i00002-2-22-2224i−4i4i−4i0000000000000000000000000000−2i2i0000−2i2i−2i2i000000000000000000000000000000000000
χ964-444-44-4-4-242-2-44-442-4-2-2242-400-200−4i4i00002-2-22-222−4i4i−4i4i00000000000000000000000000002i−2i00002i−2i2i−2i000000000000000000000000000000000000
χ974-444-44-4-4-2-22-22-22-222-2-22-222001004i−4i−2i32i3−2i32i3-111-11-1-1−2i2i−2i2i23−2323−23000000000000000000i3−i3i3−i300−2i2i−33−33i−ii−i000000000000000000000000000000000000
χ984-444-44-4-4-2-22-22-22-222-2-22-222001004i−4i2i3−2i32i3−2i3-111-11-1-1−2i2i−2i2i−2323−2323000000000000000000−i3i3−i3i300−2i2i3−33−3i−ii−i000000000000000000000000000000000000
χ994-444-44-4-4-2-22-22-22-222-2-22-22200100−4i4i−2i32i3−2i32i3-111-11-1-12i−2i2i−2i−2323−2323000000000000000000i3−i3i3−i3002i−2i3−33−3−ii−ii000000000000000000000000000000000000
χ1004-444-44-4-4-2-22-22-22-222-2-22-22200100−4i4i2i3−2i32i3−2i3-111-11-1-12i−2i2i−2i23−2323−23000000000000000000−i3i3−i3i3002i−2i−33−33−ii−ii000000000000000000000000000000000000
χ1014-44-4-4-44444-4-4-444-4-444-44-44-400400000000-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-44-4-4-4444-2-4-42-2-22-4-24-4424200-2000000002-22-222-2000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000000000000000
χ1034-44-4-4-4444-2-4-42-2-22-4-24-4424200-2000000002-22-222-20000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000000000000000
χ1044-44-4-4-444-2422-444-424-22-2-4-2-400-2000000002-22-222-2000000000000000000000000000000000000000000000000000000000000000000−2i32i30000000000
χ1054-44-4-4-444-2422-444-424-22-2-4-2-400-2000000002-22-222-20000000000000000000000000000000000000000000000000000000000000000002i3−2i30000000000
χ1064-4-444-4-44-2422-4-4-4-4-242-224-244-4-200004-4-4422-222-2-2000000000000000000000000-22-222-2000000000000000000000000000000000000000000000000
χ1074-4-444-4-44-2422-4-4-4-4-242-224-24-44-20000-444-422-222-2-20000000000000000000000002-22-2-22000000000000000000000000000000000000000000000000
χ1084-4-444-4-44-2-2222222-2-22-22-2-2-24-410000-222-2-1-11-1-111−2i32i32i3−2i3−2i32i32i3−2i30000000000000000-221-1-110000i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000
χ1094-4-444-4-44-2-2222222-2-22-22-2-2-24-410000-222-2-1-11-1-1112i3−2i3−2i32i32i3−2i3−2i32i30000000000000000-221-1-110000−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000
χ1104-4-444-4-44-2-2222222-2-22-22-2-2-2-44100002-2-22-1-11-1-111−2i32i32i3−2i32i3−2i3−2i32i300000000000000002-2-111-10000−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ1114-4-444-4-44-2-2222222-2-22-22-2-2-2-44100002-2-22-1-11-1-1112i3−2i3−2i32i3−2i32i32i3−2i300000000000000002-2-111-10000i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000
χ1124-4-4-4444-444-44-4-4444-4-4-44-4-4400400000000-4-4-4444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4-4444-44-2-4422-2-242-4-442-4-200-200000000222-2-2-220000000000000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000
χ1144-4-4-4444-44-2-4422-2-242-4-442-4-200-200000000222-2-2-2200000000000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000
χ1154-4-4-4444-4-242-2-4-444-2-422-2-42400-200000000222-2-2-220000000000000000000000000000000000000000000000000000000000000000000023−2300000000
χ1164-4-4-4444-4-242-2-4-444-2-422-2-42400-200000000222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000−232300000000
χ117888-88-8-8-8-4-4-44-4-444-44-44444-40020000000022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-88-88-4-4-4-4-444-44-44444-44002000000002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-8-888-4-4444-4-444-4-44-44-4400200000000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8-8888-8-4-44-444-4-4-4444-444-400200000000-2-2-2222-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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