Finite Group Databasebeta

← Group #11808247

Character table — Group #11808247

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order122222223366666666666666444444442234444666666666661212121212121212121212121212121266666612121212121212121212121222224444444444666612121212121212126612121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ511111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ611111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ711111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-11111
χ17222222222-12222-1-1-12-12-1-1-120000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022220022000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-12222-1-1-12-12-1-1-120000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-200-2-20000000000001111111100000000
χ19222222222-12222-1-1-12-12-1-1-120000000022-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1111111111111002200-2-2-2-20022000000000000-1-11111-1-100000000
χ20222222222-12222-1-1-12-12-1-1-120000000022-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-111111111111100-2-200222200-2-200000000000011-1-1-1-11100000000
χ21222222222-12222-1-1-12-12-1-1-1200000000-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-200000000111111-1-111-1-1-1-1111100220022-2-200-2-2000000000000-1-1-1-1111100000000
χ22222222222-12222-1-1-12-12-1-1-1200000000-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-200000000111111-1-111-1-1-1-1111100-2-200-2-22200220000000000001111-1-1-1-100000000
χ23222222222-12222-1-1-12-12-1-1-1200000000-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222220000000011111111-1-11111-1-1-1-1002200-2-22200-2-2000000000000-1-111-1-11100000000
χ24222222222-12222-1-1-12-12-1-1-1200000000-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222220000000011111111-1-11111-1-1-1-100-2-20022-2-2002200000000000011-1-111-1-100000000
χ2522222222-12-1-1-1-1222-12-1222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122002200002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-1222-12-1222-12222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-200-2-20000220011111111-1-1-1-10000000000000000
χ2722222222-12-1-1-1-1222-12-1222-122222222-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2111122-2-2-1-1-1-11111-2-200220000-2-2001111-1-1-1-111110000000000000000
χ2822222222-12-1-1-1-1222-12-1222-122222222-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2221111-1-1-1-12200-2-20000-2-200-1-1-1-1111111110000000000000000
χ2922222222-12-1-1-1-1222-12-1222-1-2-2-2-2-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-20000-2-2001111111111110000000000000000
χ3022222222-12-1-1-1-1222-12-1222-1-2-2-2-2-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-1-1-1-1-2-2-2-2111111112200220000-2-200-1-1-1-1-1-1-1-111110000000000000000
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χ3222222222-12-1-1-1-1222-12-1222-1-2-2-2-2-2-2-2-2-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-111111111-2-21111-2-2221111-1-1-1-1-2-20022000022001111-1-1-1-1-1-1-1-10000000000000000
χ332222-2-2-2-22222-2-2-2-2-222-222-2-22i2i2i2i−2i−2i−2i−2i0020000000022-2-2-22-2000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000002-2000000000000000000002-20000002i−2i0000
χ342222-2-2-2-22222-2-2-2-2-222-222-2-22i2i2i2i−2i−2i−2i−2i0020000000022-2-2-22-2000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000-2200000000000000000000-22000000−2i2i0000
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χ362222-2-2-2-22222-2-2-2-2-222-222-2-2−2i−2i−2i−2i2i2i2i2i0020000000022-2-2-22-200000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000-2200000000000000000000-220000002i−2i0000
χ3722-2-22-2-2222-2-2-2-22-2-2222-2-22222-2-222-2-22-22000022-2-2-2-22-2-2220000000022-2-222-2-22-222-2-200000000000000000000002-2000000000022-2-20000000000000000
χ3822-2-22-2-2222-2-2-2-22-2-2222-2-22222-2-222-2-2-2220000-2-222-2-22-2-2220000000022-2-222-2-2-22-2-2220000000000000000000000-220000000000-2-2220000000000000000
χ3922-2-22-2-2222-2-2-2-22-2-2222-2-222-2-222-2-2222-22000022-2-2-2-22-2-22200000000-2-222-2-2222-222-2-20000000000000000000000-220000000000-2-2220000000000000000
χ4022-2-22-2-2222-2-2-2-22-2-2222-2-222-2-222-2-222-2220000-2-222-2-22-2-22200000000-2-222-2-222-22-2-22200000000000000000000002-2000000000022-2-20000000000000000
χ4122-2-22-2-22-1211112-2-2-12-1-2-22-122-2-222-2-22-2-10000-1-11111-111-1-1−i3−i3i3i3−i3−i3i3i3-1-111-1-1112-2-1-1110000−i3−i3i3i3−i3−i3i3i300000000002-200−i3−i3i3i3−i3−i3i3i3-1-1110000000000000000
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χ4622-2-22-2-22-1211112-2-2-12-1-2-22-1-2-222-2-2222-2-10000-1-11111-111-1-1i3i3−i3−i3i3i3−i3−i311-1-111-1-12-2-1-1110000i3i3−i3−i3i3i3−i3−i30000000000-2200−i3−i3i3i3−i3−i3i3i311-1-10000000000000000
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χ4822-2-22-2-22-1211112-2-2-12-1-2-22-1-2-222-2-222-22-1000011-1-111-111-1-1i3i3−i3−i3−i3−i3i3i311-1-111-1-1-2211-1-10000i3i3−i3−i3−i3−i3i3i300000000002-200i3i3−i3−i3−i3−i3i3i3-1-1110000000000000000
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χ732-2-222-22-2-121-11-12-221-2-1-22-212i−2i−2i2i2i−2i−2i2i00-12i−2i00−i3i3i3−i31-1-11-111−iii−i3−3−33−iii−i−iii−i00−i3i3i3−i32i−2i00−iii−i3−3−3300002-200000000−i3i3i3−i3-111-13−3−330000000000000000
χ742-2-222-22-2-121-11-12-221-2-1-22-212i−2i−2i2i2i−2i−2i2i00-12i−2i00i3−i3−i3i31-1-11-111−iii−i−333−3−iii−i−iii−i00i3−i3−i3i32i−2i00−iii−i−333−300002-200000000i3−i3−i3i3-111-1−333−30000000000000000
χ752-2-222-22-2-121-11-12-221-2-1-22-212i−2i−2i2i2i−2i−2i2i00-1−2i2i00−i3i3i3−i31-1-11-111i−i−ii−333−3−iii−i−iii−i00−i3i3i3−i3−2i2i00i−i−ii−333−30000-2200000000i3−i3−i3i31-1-113−3−330000000000000000
χ762-2-222-22-2-121-11-12-221-2-1-22-212i−2i−2i2i2i−2i−2i2i00-1−2i2i00i3−i3−i3i31-1-11-111i−i−ii3−3−33−iii−i−iii−i00i3−i3−i3i3−2i2i00i−i−ii3−3−330000-2200000000−i3i3i3−i31-1-11−333−30000000000000000
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χ792-2-222-22-2-121-11-12-221-2-1-22-21−2i2i2i−2i−2i2i2i−2i00-1−2i2i00−i3i3i3−i31-1-11-111i−i−ii−333−3i−i−iii−i−ii00−i3i3i3−i3−2i2i00i−i−ii−333−300002-200000000−i3i3i3−i3-111-1−333−30000000000000000
χ802-2-222-22-2-121-11-12-221-2-1-22-21−2i2i2i−2i−2i2i2i−2i00-1−2i2i00i3−i3−i3i31-1-11-111i−i−ii3−3−33i−i−iii−i−ii00i3−i3−i3i3−2i2i00i−i−ii3−3−3300002-200000000i3−i3−i3i3-111-13−3−330000000000000000
χ812-2-22-22-2222-222-2-22-2-2-2-2-22222-2-22-222-200200000000-22-22-2-22000000002-2-22-222-2000000000000000000002-200000000000000000000002-20000000000002-2
χ822-2-22-22-2222-222-2-22-2-2-2-2-22222-2-22-222-200200000000-22-22-2-22000000002-2-22-222-200000000000000000000-220000000000000000000000-22000000000000-22
χ832-2-22-22-2222-222-2-22-2-2-2-2-2222-222-22-2-2200200000000-22-22-2-2200000000-222-22-2-22000000000000000000002-200000000000000000000002-2000000000000-22
χ842-2-22-22-2222-222-2-22-2-2-2-2-2222-222-22-2-2200200000000-22-22-2-2200000000-222-22-2-2200000000000000000000-220000000000000000000000-220000000000002-2
χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000004414444-2-2-2-21111111-2-2-2-2-2-2-2-200000000-2-21111-2-2-2-211111111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000441-4-4-4-4-2-2-2-211111112222222200000000-2-211112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4144-4-422221111111-2-2-2-222220000000022-1-1-1-1-2-2221111-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-41-4-444222211111112222-2-2-2-20000000022-1-1-1-122-2-2-1-1-1-11111000000000000000000000000000000000000000000
χ894444-4-4-4-44-244-4-42224-2-4-2-22-40000000000-200000000-2-2222-2200000000000000000000000000000000000000004-400000000000000000000-22000000000000
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χ914444-4-4-4-4-24-2-222-4-4-4-24244-424i4i4i4i−4i−4i−4i−4i00-200000000-2-2222-2200000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-4-4-24-2-222-4-4-4-24244-42−4i−4i−4i−4i4i4i4i4i00-200000000-2-2222-22000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ9344-4-44-4-444-2-4-4-4-4-2224-2422-24000000004-4-2000044-4-422-222-2-20000000000000000-22-2-222000000000000000000000000000000000000000000000000000000
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χ9744-4-44-4-44-2-22222-222-2-2-222-2-200000000-441000022-2-2-1-11-1-111−2i3−2i32i32i32i32i3−2i3−2i3000000002-2-1-1110000i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ9844-4-44-4-44-2-22222-222-2-2-222-2-200000000-441000022-2-2-1-11-1-1112i32i3−2i3−2i3−2i3−2i32i32i3000000002-2-1-1110000−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ9944-4-4-444-44-2-4-4442-2-24-2-4222-40000000000-200000000222-2-2-220000000000000000000000000000000000000000004i−4i00000000000000000000−2i2i0000000000
χ10044-4-4-444-44-2-4-4442-2-24-2-4222-40000000000-200000000222-2-2-22000000000000000000000000000000000000000000−4i4i000000000000000000002i−2i0000000000
χ10144-4-4-444-4-2422-2-2-444-242-4-4-424i4i−4i−4i−4i−4i4i4i00-200000000222-2-2-2200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ10244-4-4-444-4-2422-2-2-444-242-4-4-42−4i−4i4i4i4i4i−4i−4i00-200000000222-2-2-22000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ1034-44-444-4-44-24-44-4-2-22-424-222-40000000000-2004i−4i0000-22-2-222200004i−4i4i−4i0000000000000000−2i2i0000−2i2i−2i2i000000000000000000000000000000000000000000
χ1044-44-444-4-44-24-44-4-2-22-424-222-40000000000-200−4i4i0000-22-2-22220000−4i4i−4i4i00000000000000002i−2i00002i−2i2i−2i000000000000000000000000000000000000000000
χ1054-44-444-4-4-2-2-22-22-2-2222-2-222200000000001004i−4i−2i32i3−2i32i31-111-1-1-123−2323−23−2i2i−2i2i0000000000i3−i3i3−i300−2i2i−33−33i−ii−i000000000000000000000000000000000000000000
χ1064-44-444-4-4-2-2-22-22-2-2222-2-222200000000001004i−4i2i3−2i32i3−2i31-111-1-1-1−2323−2323−2i2i−2i2i0000000000−i3i3−i3i300−2i2i3−33−3i−ii−i000000000000000000000000000000000000000000
χ1074-44-444-4-4-2-2-22-22-2-2222-2-22220000000000100−4i4i−2i32i3−2i32i31-111-1-1-1−2323−23232i−2i2i−2i0000000000i3−i3i3−i3002i−2i3−33−3−ii−ii000000000000000000000000000000000000000000
χ1084-44-444-4-4-2-2-22-22-2-2222-2-22220000000000100−4i4i2i3−2i32i3−2i31-111-1-1-123−2323−232i−2i2i−2i0000000000−i3i3−i3i3002i−2i−33−33−ii−ii000000000000000000000000000000000000000000
χ1094-44-4-4-4444-24-4-4422-2-42-4-22-240000000000-200000000-2222-22-200000000000000000000000000000000000000000000004-4000000000000000000-2200000000
χ1104-44-4-4-4444-24-4-4422-2-42-4-22-240000000000-200000000-2222-22-20000000000000000000000000000000000000000000000-440000000000000000002-200000000
χ1114-44-4-4-444-24-222-2-4-442-424-44-24-44-4-44-4400-200000000-2222-22-200000000-22-222-22-2000000000000000000000000000000000000000000000000000000000000
χ1124-44-4-4-444-24-222-2-4-442-424-44-2-44-444-44-400-200000000-2222-22-2000000002-22-2-22-22000000000000000000000000000000000000000000000000000000000000
χ1134-4-444-44-44-2-44-44-22-2-4242-22-40000000000-24i−4i0000002-2-22-2224i−4i−4i4i000000000000000000−2i2i00−2i2i2i−2i0000000000000000000000000000000000000000000000
χ1144-4-444-44-44-2-44-44-22-2-4242-22-40000000000-2−4i4i0000002-2-22-222−4i4i4i−4i0000000000000000002i−2i002i−2i−2i2i0000000000000000000000000000000000000000000000
χ1154-4-444-44-4-2-22-22-2-22-222-22-222000000000014i−4i00−2i32i32i3−2i3-111-11-1-1−2i2i2i−2i23−23−23230000000000i3−i3−i3i3−2i2i00i−i−ii−333−3000000000000000000000000000000000000000000
χ1164-4-444-44-4-2-22-22-2-22-222-22-222000000000014i−4i002i3−2i3−2i32i3-111-11-1-1−2i2i2i−2i−232323−230000000000−i3i3i3−i3−2i2i00i−i−ii3−3−33000000000000000000000000000000000000000000
χ1174-4-444-44-4-2-22-22-2-22-222-22-22200000000001−4i4i00−2i32i32i3−2i3-111-11-1-12i−2i−2i2i−232323−230000000000i3−i3−i3i32i−2i00−iii−i3−3−33000000000000000000000000000000000000000000
χ1184-4-444-44-4-2-22-22-2-22-222-22-22200000000001−4i4i002i3−2i3−2i32i3-111-11-1-12i−2i−2i2i23−23−23230000000000−i3i3i3−i32i−2i00−iii−i−333−3000000000000000000000000000000000000000000
χ1194-4-44-44-444-2-444-42-22-42-42-2-240000000000-2000000002-22-222-20000000000000000000000000000000000004-40000000000000000000000-2200000000000000
χ1204-4-44-44-444-2-444-42-22-42-42-2-240000000000-2000000002-22-222-2000000000000000000000000000000000000-4400000000000000000000002-200000000000000
χ1214-4-44-44-44-242-2-22-44-42-42-444-24-4-44-444-400-2000000002-22-222-200000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ1224-4-44-44-44-242-2-22-44-42-42-444-2-444-44-4-4400-2000000002-22-222-2000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000
χ1238888-8-8-8-8-4-4-4-444444-4-44-4-444000000000020000000022-2-2-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-888-8-4-444-4-44-4-4-4-4444440000000000200000000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-8-888-4-4-444-444-4444-44-4-400000000002000000002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-88-88-4-44-4-444-444444-4-4-40000000000200000000-22-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000

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