Finite Group Databasebeta

← Group #13162013

Character table — Group #13162013

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order12223334466666666633333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212441212121244488881212121212122424242424242424226666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ511111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111
χ811111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111-111-1-1
χ92222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000222222-2000000-2-2000000000000000000
χ102222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2200000022000000000000000000
χ11222222-12222-1-122-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1222-122222-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000220000000000-1-1-1-10200-1-1
χ12222222-12222-1-122-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1222-122222-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000-2-2000000000011110-20011
χ13222222-12222-1-122-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-1222-1-2-2-2-22-1-2-21122-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100000000000220000000000-1-1-1-10-20011
χ14222222-12222-1-122-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-1222-1-2-2-2-22-1-2-21122-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100000000000-2-2000000000011110200-1-1
χ1522222-1222-1-1222-1222-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122-122222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000002200000000-1-1-1-1000020-1-100
χ1622222-1222-1-1222-1222-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122-122222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20000000011110000-201100
χ1722222-1222-1-1222-1222-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-12-2-2-2-2-1211-2-2-1-122-1-1-1-1-1-11111-2-2-2-21111111111110000000002200000000-1-1-1-10000-201100
χ1822222-1222-1-1222-1222-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-12-2-2-2-2-1211-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111000000000-2-2000000001111000020-1-100
χ192222-122222222-122-1-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12220000-1-1-1-1-1-100000000000000
χ202222-122222222-122-1-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2000011111100000000000000
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χ232222-122-2-22222-122-1-1-1-12-1-100-1-1-1-122-1-1-1-1-1-12-1-111-2-2−i3−i3i3i3-2-200001111-2-21111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i322-1-1-1-1-200000011−i3−i3i3i300000000000000
χ242222-122-2-22222-122-1-1-1-12-1-100-1-1-1-122-1-1-1-1-1-12-1-111-2-2−i3−i3i3i3-2-200001111-2-21111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3-2-211112000000-1-1i3i3−i3−i300000000000000
χ252222-122-2-22222-122-1-1-1-12-1-100-1-1-1-122-1-1-1-1-1-12-1-111-2-2i3i3−i3−i3-2-200001111-2-21111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i322-1-1-1-1-200000011i3i3−i3−i300000000000000
χ262222-122-2-22222-122-1-1-1-12-1-100-1-1-1-122-1-1-1-1-1-12-1-111-2-2i3i3−i3−i3-2-200001111-2-21111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-2-211112000000-1-1−i3−i3i3i300000000000000
χ2722-2-22222-2-2-2-2-2222-2-22222200-2-2-2-2-2-2-2-2-2-2222222-2220000-2-200002-22-22-222-2-20000000000000000000000000002i−2i0000002i−2i2i−2i00000000000000
χ2822-2-22222-2-2-2-2-2222-2-22222200-2-2-2-2-2-2-2-2-2-2222222-2220000-2-200002-22-22-222-2-2000000000000000000000000000−2i2i000000−2i2i−2i2i00000000000000
χ2922-2-2222-22-2-2-2-2222-2-2222222-2-2-2-2-2-2-2-2-2-2-222222-22-2-22-22-2222-22-2-22-22-22-2-2222-22-22-22-222-2-222-2-222-2-2000000000000000000000000000000000
χ3022-2-2222-22-2-2-2-2222-2-222222-22-2-2-2-2-2-2-2-2-2-222222-22-2-2-22-2222-22-22-22-22-22-2-222-22-22-22-22-2-222-2-222-2-222000000000000000000000000000000000
χ3122-2-222-1-22-2-21122-1-2-22-1-1-1-12-2-2-2111111112-1-1-1-1-22-212-22-22-12-2-11-221-11-111-1-12-22-2-11-11-1-111-1-111-1-11100000000000000000000000−i3−i3i3i30000−i3i3
χ3222-2-222-1-22-2-21122-1-2-22-1-1-1-12-2-2-2111111112-1-1-1-1-22-212-22-22-12-2-11-221-11-111-1-12-22-2-11-11-1-111-1-111-1-11100000000000000000000000i3i3−i3−i30000i3−i3
χ3322-2-222-1-22-2-21122-1-2-22-1-1-1-1-22-2-2111111112-1-1-1-1-22-21-22-222-1-221-1-221-11-111-1-1-22-221-11-111-1-111-1-111-1-100000000000000000000000−i3−i3i3i30000i3−i3
χ3422-2-222-1-22-2-21122-1-2-22-1-1-1-1-22-2-2111111112-1-1-1-1-22-21-22-222-1-221-1-221-11-111-1-1-22-221-11-111-1-111-1-111-1-100000000000000000000000i3i3−i3−i30000−i3i3
χ3522-2-22-12-2211-2-22-12-2-2-12-1-1-12-211-2-2111111-12-1-1-1-221-22-22-2-12-112-21-1-221-111-1-1-11-112-22-2-1-111-1-111-1-1110000000000000000000−i3−i3i3i3000000−i3i300
χ3622-2-22-12-2211-2-22-12-2-2-12-1-1-12-211-2-2111111-12-1-1-1-221-22-22-2-12-112-21-1-221-111-1-1-11-112-22-2-1-111-1-111-1-1110000000000000000000i3i3−i3−i3000000i3−i300
χ3722-2-22-12-2211-2-22-12-2-2-12-1-1-1-2211-2-2111111-12-1-1-1-221-2-22-22-121-1-221-1-221-111-1-11-11-1-22-2211-1-111-1-111-1-10000000000000000000−i3−i3i3i3000000i3−i300
χ3822-2-22-12-2211-2-22-12-2-2-12-1-1-1-2211-2-2111111-12-1-1-1-221-2-22-22-121-1-221-1-221-111-1-11-11-1-22-2211-1-111-1-111-1-10000000000000000000i3i3−i3−i3000000−i3i300
χ3922-2-2-1222-2-2-2-2-2-12211-1-12-1-1001111-2-21111-1-12-1-1-1122−i3i3i3−i3-2-20000-11-112-2-1-111−i3i3i3−i3−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i30033−3−302i−2i00003−3−ii−ii00000000000000
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χ4122-2-2-1222-2-2-2-2-2-12211-1-12-1-1001111-2-21111-1-12-1-1-1122i3−i3−i3i3-2-20000-11-112-2-1-111i3−i3−i3i3i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i30033−3−30−2i2i00003−3i−ii−i00000000000000
χ4222-2-2-1222-2-2-2-2-2-12211-1-12-1-1001111-2-21111-1-12-1-1-1122i3−i3−i3i3-2-20000-11-112-2-1-111i3−i3−i3i3i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i300−3−33302i−2i0000−33−ii−ii00000000000000
χ4322-2-2-122-22-2-2-2-2-12211-1-12-1-12-21111-2-21111-1-12-1-11-1-2-2-11-11222-22-21-11-1-2211-1-1-11-11-11-1122-2-2-1-111-1-1110033−3−30000000−333−3−3300000000000000
χ4422-2-2-122-22-2-2-2-2-12211-1-12-1-12-21111-2-21111-1-12-1-11-1-2-2-11-11222-22-21-11-1-2211-1-1-11-11-11-1122-2-2-1-111-1-11100−3−33300000003−3−333−300000000000000
χ4522-2-2-122-22-2-2-2-2-12211-1-12-1-1-221111-2-21111-1-12-1-11-1-2-21-11-122-22-221-11-1-2211-1-11-11-11-11-1-2-22211-1-111-1-10033−3−30000000−33−333−300000000000000
χ4622-2-2-122-22-2-2-2-2-12211-1-12-1-1-221111-2-21111-1-12-1-11-1-2-21-11-122-22-221-11-1-2211-1-11-11-11-11-1-2-22211-1-111-1-100−3−33300000003−33−3−3300000000000000
χ472-22-2222002-22-2-2-2-22-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-22-22-2000−i2i2−i2i2000000−i2i2−i2i2−i2i2−i2i2000000
χ482-22-2222002-22-2-2-2-22-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-22-22-2000i2−i2i2−i2000000i2−i2i2−i2i2−i2i2−i2000000
χ492-22-2222002-22-2-2-2-22-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22-22-22000−i2i2i2−i2000000−i2i2−i2i2i2−i2i2−i2000000
χ502-22-2222002-22-2-2-2-22-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22-22-22000i2−i2−i2i2000000i2−i2i2−i2−i2i2−i2i2000000
χ51444444-2-4-444-2-244-2444-2-2-2-20044-2-2-2-2-2-2-2-24-2-2-2-2-4-4-420000-420000-4-42222222200000000000000000000000000000000000000000000000000000
χ5244444-24-4-4-2-2444-2444-24-2-2-200-2-244-2-2-2-2-2-2-24-2-2-2-4-42-400002-4000022-4-422222200000000000000000000000000000000000000000000000000000
χ5344444-2-244-2-2-2-24-2-244-2-211144-2-2-2-2111111-2-211144-2-24444-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000
χ5444444-2-244-2-2-2-24-2-244-2-2111-4-4-2-2-2-2111111-2-211144-2-2-4-4-4-4-2-22222-2-2-2-211111122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ5544444-2-2-4-4-2-2-2-24-2-244-2-211100-2-2-2-2111111-2-2111-4-42200002200002222-1-1-1-1-1-1000000003-33-33-33-33-33-3000000000000000000000000000000000
χ5644444-2-2-4-4-2-2-2-24-2-244-2-211100-2-2-2-2111111-2-2111-4-42200002200002222-1-1-1-1-1-100000000-33-33-33-33-33-33000000000000000000000000000000000
χ574444-24-24444-2-2-24-2-2-2-21-21144-2-211-2-21111-21-211-2-24-2-2-2-2-24-244-2-2-2-211-2-21111-2-2-2-21111-2-2-2-211111111000000000000000000000000000000000
χ584444-24-24444-2-2-24-2-2-2-21-211-4-4-2-211-2-21111-21-211-2-24-222224-2-4-422-2-211-2-211112222-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ594444-24-2-4-444-2-2-24-2-2-2-21-21100-2-211-2-21111-21-21122-42−2i3−2i32i32i3-42000022-1-122-1-1-1-1−2i3−2i32i32i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000000
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χ624444-2-2444-2-244-2-24-2-21-2-211-4-411-2-2-2-211111-2-211-2-2-242222-2422-4-411-2-2-2-21111-1-1-1-122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ634444-2-24-4-4-2-244-2-24-2-21-2-2110011-2-2-2-211111-2-211222-4−2i3−2i32i32i32-40000-1-12222-1-1-1-1i3i3−i3−i3−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000000
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χ654444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111111111−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000
χ664444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-22222-2-22222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i321−3i321+3i321−3i321+3i32000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111111111−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-22222-2-22222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i321+3i321−3i321+3i321−3i32000000000000000000000000000000000
χ694444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222−2i3−2i32i32i3220000-1-1-1-1-1-11+3i321−3i321+3i321−3i32i3i3−i3−i3i3i3−i3−i33-33-3−3−i323−i32−3−i323−i32−3+i323+i32−3+i323+i32000000000000000000000000000000000
χ704444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222i32i3−2i3−2i3220000-1-1-1-1-1-11+3i321−3i321+3i321−3i32−i3−i3i3i3−i3−i3i3i3-33-333+i32−3+i323+i32−3+i323−i32−3−i323−i32−3−i32000000000000000000000000000000000
χ714444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222−2i3−2i32i32i3220000-1-1-1-1-1-11−3i321+3i321−3i321+3i32i3i3−i3−i3i3i3−i3−i3-33-333−i32−3−i323−i32−3−i323+i32−3+i323+i32−3+i32000000000000000000000000000000000
χ724444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222i32i3−2i3−2i3220000-1-1-1-1-1-11−3i321+3i321−3i321+3i32−i3−i3i3i3−i3−i3i3i33-33-3−3+i323+i32−3+i323+i32−3−i323−i32−3−i323−i32000000000000000000000000000000000
χ7344-4-444-24-4-4-42244-2-4-44-2-2-2-200-4-4222222224-2-2-2-24-44-20000-4200004-4-22-22-2-22200000000000000000000000000000000000000000000000000000
χ7444-4-44-244-422-4-44-24-4-4-24-2-2-20022-4-4222222-24-2-2-24-4-2400002-40000-224-4-22-2-22200000000000000000000000000000000000000000000000000000
χ7544-4-44-2-24-422224-2-2-4-4-2-2111002222-1-1-1-1-1-1-2-21114-4-2-20000220000-22-221-111-1-1000000003-3-333-3-333-3-33000000000000000000000000000000000
χ7644-4-44-2-24-422224-2-2-4-4-2-2111002222-1-1-1-1-1-1-2-21114-4-2-20000220000-22-221-111-1-100000000-333-3-333-3-333-3000000000000000000000000000000000
χ7744-4-44-2-2-4422224-2-2-4-4-2-21114-42222-1-1-1-1-1-1-2-2111-44224-44-4-2-2-22-222-22-2-11-1-111-22-22-22-2211-1-111-1-111-1-1000000000000000000000000000000000
χ7844-4-44-2-2-4422224-2-2-4-4-2-2111-442222-1-1-1-1-1-1-2-2111-4422-44-44-2-22-22-22-22-2-11-1-1112-22-22-22-2-1-111-1-111-1-111000000000000000000000000000000000
χ7944-4-4-24-24-4-4-422-24-222-21-2110022-1-122-1-1-1-1-21-211-224-2−2i32i32i3−2i3-420000-221-1-2211-1-1−2i32i32i3−2i3i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ8044-4-4-24-24-4-4-422-24-222-21-2110022-1-122-1-1-1-1-21-211-224-22i3−2i3−2i32i3-420000-221-1-2211-1-12i3−2i3−2i32i3−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ8144-4-4-24-2-44-4-422-24-222-21-2114-422-1-122-1-1-1-1-21-2112-2-42-22-224-24-4-222-2-112-2-1-111-22-221-11-1-2-22211-1-111-1-1000000000000000000000000000000000
χ8244-4-4-24-2-44-4-422-24-222-21-211-4422-1-122-1-1-1-1-21-2112-2-422-22-24-2-442-22-2-112-2-1-1112-22-2-11-1122-2-2-1-111-1-111000000000000000000000000000000000
χ8344-4-4-2-244-422-4-4-2-24221-2-21100-1-12222-1-1-1-11-2-211-22-24−2i32i32i3−2i32-400001-1-22-2211-1-1i3−i3−i3i3−2i32i32i3−2i30000i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ8444-4-4-2-244-422-4-4-2-24221-2-21100-1-12222-1-1-1-11-2-211-22-242i3−2i3−2i32i32-400001-1-22-2211-1-1−i3i3i3−i32i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ8544-4-4-2-24-4422-4-4-2-24221-2-2114-4-1-12222-1-1-1-11-2-2112-22-4-22-22-24-224-4-112-22-2-1-1111-11-1-22-22-2-22211-1-111-1-1000000000000000000000000000000000
χ8644-4-4-2-24-4422-4-4-2-24221-2-211-44-1-12222-1-1-1-11-2-2112-22-42-22-2-242-2-44-112-22-2-1-111-11-112-22-222-2-2-1-111-1-111000000000000000000000000000000000
χ8744-4-4-2-2-24-42222-2-2-222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-2-2−2i32i32i3−2i32200001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3−i3i3i3−i3−i3i33-3-33−3−i323−i323+i32−3+i32−3+i323+i323−i32−3−i32000000000000000000000000000000000
χ8844-4-4-2-2-24-42222-2-2-222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-2-22i3−2i3−2i32i32200001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3i3−i3−i3i3i3−i3-333-33+i32−3+i32−3−i323−i323−i32−3−i32−3+i323+i32000000000000000000000000000000000
χ8944-4-4-2-2-24-42222-2-2-222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-2-2−2i32i32i3−2i32200001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3−i3i3i3−i3−i3i3-333-33−i32−3−i32−3+i323+i323+i32−3+i32−3−i323−i32000000000000000000000000000000000
χ9044-4-4-2-2-24-42222-2-2-222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-2-22i3−2i3−2i32i32200001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3i3−i3−i3i3i3−i33-3-33−3+i323+i323−i32−3−i32−3−i323−i323+i32−3+i32000000000000000000000000000000000
χ9144-4-4-2-2-2-442222-2-2-222111−1−3i32−1+3i324-4-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-222-22-22-2-2-22-22-11-11-111+3i321−3i32−1−3i32−1+3i321-11-11-11-111-1-1−1−3i32−1+3i321+3i321−3i32−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ9244-4-4-2-2-2-442222-2-2-222111−1−3i32−1+3i32-44-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-2222-22-2-2-22-22-2-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-11-11-1-1111+3i321−3i32−1−3i32−1+3i321−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ9344-4-4-2-2-2-442222-2-2-222111−1+3i32−1−3i324-4-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-222-22-22-2-2-22-22-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-11-111-1-1−1+3i32−1−3i321−3i321+3i32−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ9444-4-4-2-2-2-442222-2-2-222111−1+3i32−1−3i32-44-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-2222-22-2-2-22-22-2-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-11-11-1-1111−3i321+3i32−1+3i32−1−3i321+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ954-44-444-2004-4-22-4-424-44-2-2-2-2004-4-22-22-2-222-422220000000000000000000000000000000000000000000000000000000−2i22i20000000000i2−i2i2−i2000000
χ964-44-444-2004-4-22-4-424-44-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000000000000002i2−2i20000000000−i2i2−i2i2000000
χ974-44-44-2400-224-4-42-44-4-24-2-2-200-224-4-22-2-2222-422200000000000000000000000000000000000000000000000000000−2i22i200000000i2−i2i2−i20000000000
χ984-44-44-2400-224-4-42-44-4-24-2-2-200-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000000002i2−2i200000000−i2i2−i2i20000000000
χ994-44-4-244004-44-42-4-4-22-2-24-2-200-22-224-4-2-22222-422000000000000000000000000000000000000000000004-4-22-22000000000000000000000000000
χ1004-44-4-244004-44-42-4-4-22-2-24-2-200-22-224-4-2-22222-42200000000000000000000000000000000000000000000-442-22-2000000000000000000000000000
χ1014-4-4444400-44-44-4-4-4-444444400-44-44-44-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-200-442-2-4-42-444-2-2-2-200-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000000000000000000006−6−66000000
χ1034-4-4444-200-442-2-4-42-444-2-2-2-200-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000000000000−666−6000000
χ1044-4-444-24002-2-44-42-4-44-24-2-2-2002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000000000006−6−660000000000
χ1054-4-444-24002-2-44-42-4-44-24-2-2-2002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000000000000−666−60000000000
χ1064-4-44-24400-44-442-4-42-2-2-24-2-2002-22-2-4422-2-222-422000000000000000000000000000000000000000000000023−23−2323000000000000000000000000000
χ1074-4-44-24400-44-442-4-42-2-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000−232323−23000000000000000000000000000
χ1088-88-88-4-400-44-44-8448-8-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-4008-8-444-84-44-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4800-448-844-8-442-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-400-44-44444-44222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-400-44-44444-44222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-4004-44-4-844-88-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-400-884-44-844-4-42-422004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-48004-4-8844-84-42-4-42200-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4004-44-44444-4222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4004-44-44444-4222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000

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