Finite Group Databasebeta

← Group #13168116

Character table — Group #13168116

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order122233344666666666333666666666121212121212222236661212121212121212121222446666666666661212121222444466661212121266666666661212121212122446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-11-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-1-111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1111111111111111-111-1-111-1-11-111-1-1-1-1-1-1-111-1-1-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-11-1-11111-111-1-111-1-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1111-1-1-1-1111-111-1-1-111-1-1-1-11111-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1111-111111-1-1111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-11-111-1-11-111111-1-111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-11111-1-1-11-1-111-111-1-1-1-111111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-1111-111-1-111-111-1-111-1-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-11111111111111111-11-1-111-1-111-11-1-111-1-1-1-1-111-1-1-1-1-11
χ17222222-12222-1-1222-122-1-122-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-122002222-1-1-1-1-1-1-1-10000220000-1-1-1-1000022-1-1-1-1-1-1-1-1000000002000000-1-100
χ18222222-12222-1-1222-122-1-122-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-2-2002222-1-1-1-111110000-2-2000011110000-2-2-1-1-1-1111100000000-20000001100
χ19222222-12222-1-1222-122-1-122-1-1-1-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-12200-2-2-2-21111-1-1-1-10000-2-2000011110000221111-1-1-1-100000000-20000001100
χ20222222-12222-1-1222-122-1-122-1-1-1-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-2-2-2111111110000220000-1-1-1-10000-2-211111111000000002000000-1-100
χ21222222-1-2-222-1-1222-122-1-122-1-1-1-1-1-12-2-211-2-222-2-2-1-1-1-11111-2-211112-20022-2-2-1-111-1-1110000220000-1-1-1-100002-2-1-111-1-11100000000-20000001100
χ22222222-1-2-222-1-1222-122-1-122-1-1-1-1-1-12-2-211-2-222-2-2-1-1-1-11111-2-21111-220022-2-2-1-11111-1-10000-2-2000011110000-22-1-11111-1-1000000002000000-1-100
χ23222222-1-2-222-1-1222-122-1-122-1-1-1-1-1-12-2-211-2-2-2-222-1-1-1-11111-2-211112-200-2-22211-1-1-1-1110000-2-20000111100002-211-1-1-1-111000000002000000-1-100
χ24222222-1-2-222-1-1222-122-1-122-1-1-1-1-1-12-2-211-2-2-2-222-1-1-1-11111-2-21111-2200-2-22211-1-111-1-10000220000-1-1-1-10000-2211-1-111-1-100000000-20000001100
χ2522222-1222-1-1222222-1-12-1-1-122-1-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-10022-1-1-1-122220000-1-1-1-10022000000-1-1-1-100-1-1-1-1000022-1-1-1-1200-1-100000000
χ2622222-1222-1-1222222-1-12-1-1-122-1-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-100-2-2-1-1-1-122220000111100-2-2000000111100-1-1-1-10000-2-21111-2001100000000
χ2722222-1222-1-1222222-1-12-1-1-122-1-12-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-100221111-2-2-2-20000-1-1-1-100-2-20000001111001111000022-1-1-1-1-2001100000000
χ2822222-1222-1-1222222-1-12-1-1-122-1-12-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-100-2-21111-2-2-2-2000011110022000000-1-1-1-10011110000-2-21111200-1-100000000
χ2922222-12-2-2-1-1222222-1-12-1-1-122-1-12-1-1-2-2-2-21122-2-2-1-1-1-1-2-211111111002-2-1-11122-2-20000-1-1110022000000-1-1-1-100-1-11100002-2-1-111-2001100000000
χ3022222-12-2-2-1-1222222-1-12-1-1-122-1-12-1-1-2-2-2-21122-2-2-1-1-1-1-2-21111111100-22-1-11122-2-2000011-1-100-2-2000000111100-1-1110000-2211-1-1200-1-100000000
χ3122222-12-2-2-1-1222222-1-12-1-1-122-1-12-1-1-2-2-2-211-2-222-1-1-1-1-2-211111111002-211-1-1-2-2220000-1-11100-2-200000011110011-1-100002-2-1-111200-1-100000000
χ3222222-12-2-2-1-1222222-1-12-1-1-122-1-12-1-1-2-2-2-211-2-222-1-1-1-1-2-21111111100-2211-1-1-2-222000011-1-10022000000-1-1-1-10011-1-10000-2211-1-1-2001100000000
χ332222-122222222-1-1-122-1-12-1-1-1-122-12-1-1-122220000-1-1-1-1-1-122-1-1-1-1-1-12222000000002222222200002200000000-1-10000-1-1-1-1-1-1-1-1-1-102000-1-1-1-10000
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χ352222-122222222-1-1-122-1-12-1-1-1-122-12-1-1-122220000-1-1-1-1-1-122-1-1-1-1-1-1-2-22200000000-2-2-2-222220000-2-2000000001100001111-1-1-1-1-1-10-200011110000
χ362222-122222222-1-1-122-1-12-1-1-1-122-12-1-1-122220000-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200000000-2-2-2-2-2-2-2-200002200000000110000111111111102000-1-1-1-10000
χ372222-122-2-22222-1-1-122-1-12-1-1-1-122-12-111-2-2-2-20000-1-1-1-111-2-21111112-22-20000000022-2-222-2-200002200000000-110000-1-111-11-1-1110-2000-1-1110000
χ382222-122-2-22222-1-1-122-1-12-1-1-1-122-12-111-2-2-2-20000-1-1-1-111-2-21111112-2-220000000022-2-2-2-2220000-2-200000000-110000-1-1111-111-1-10200011-1-10000
χ392222-122-2-22222-1-1-122-1-12-1-1-1-122-12-111-2-2-2-20000-1-1-1-111-2-2111111-222-200000000-2-22222-2-20000-2-2000000001-1000011-1-1-11-1-1110200011-1-10000
χ402222-122-2-22222-1-1-122-1-12-1-1-1-122-12-111-2-2-2-20000-1-1-1-111-2-2111111-22-2200000000-2-222-2-222000022000000001-1000011-1-11-111-1-10-2000-1-1110000
χ4122-2-2222002-22-2-22-2-2-22222-22-22-2-2-2-2000000000022-2-20000000000000000000000000000002-22i−2i2i−2i22-2-22i2i−2i−2i0000000000000000000002i−2i000000
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χ452-22-22222-2-2-2-2-22-2-222222-2-2-2-2-2-22222-22-22-22-22-22-2-222-22-22-222-2-200002-22-22-22-20000000000000000000000002-22-200000000000000000000000
χ462-22-22222-2-2-2-2-22-2-222222-2-2-2-2-2-22222-22-22-2-22-222-2-222-22-22-222-2-20000-22-22-22-22000000000000000000000000-22-2200000000000000000000000
χ472-22-2222-22-2-2-2-22-2-222222-2-2-2-2-2-2222-22-22-222-2-222-2-22-22-22-22-2-22200002-2-222-2-220000000000000000000000002-2-2200000000000000000000000
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χ522-22-222-12-2-2-2112-2-2-122-1-1-2-21111-1-122-2-112-2-22-22-111-1-11-112-2-1-1110000-22-221-11-1i3−i3i3−i30000000000−i3i3−i3i30000001-11-1i3−i3i3−i3000000000000000−i3i300
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χ592-22-22-122-211-2-22-2-22-1-12-111-2-2112-1-12-22-2-11-22-22-111-12-2-11-11-1-11100001-11-1-22-220000−i3i3−i3i30000000000i3−i3i3−i3001-11-1000000−i3i3−i3i3000i3−i300000000
χ602-22-22-122-211-2-22-2-22-1-12-111-2-2112-1-12-22-2-11-22-22-111-12-2-11-11-1-11100001-11-1-22-220000i3−i3i3−i30000000000−i3i3−i3i3001-11-1000000i3−i3i3−i3000−i3i300000000
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χ834-44-44-2-24-422224-4-4-2-2-2-212222-1-1-21-24-4-22-224-44-41-1-11-221-1-2211-1-10000-22-22-22-220000000000000000000000001-11-100000000000000000000000
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χ904-44-4-24-24-4-4-422-222-24-21-222-1-1221-2-2-22-224-400001-1-111-1-22-2211-1-10000000000002i3−2i32i3−2i3000000000000000000000000−i3i3−i3i30000000000000000000
χ914-44-4-24-2-44-4-422-222-24-21-222-1-1221-2-22-22-2-4400001-1-11-112-22-2-1-111000000000000−2i32i32i3−2i3000000000000000000000000i3−i3−i3i30000000000000000000
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χ944-44-4-2-244-422-4-4-2224-21-2-2-1-12222-2-21-224-4-2200001-1-11-22-221-111-1-100000000000000002i3−2i32i3−2i300000000000000000000000000−i3i3−i3i30000000000000
χ954-44-4-2-24-4422-4-4-2224-21-2-2-1-12222-2-212-2-442-200001-1-112-22-2-11-1-1110000000000000000−2i32i32i3−2i300000000000000000000000000i3−i3−i3i30000000000000
χ964-44-4-2-24-4422-4-4-2224-21-2-2-1-12222-2-212-2-442-200001-1-112-22-2-11-1-11100000000000000002i3−2i3−2i32i300000000000000000000000000−i3i3i3−i30000000000000
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χ994-4-4444-200-442-2-4-442-44-2-2-442-22-222-40000000000-22-220000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ1004-4-444-24002-2-44-4-44-42-24-22-2-442-2-4220000000000-22-22000000000000000000000000000000000000000023−23−232300000000000000000000000000000
χ1014-4-444-24002-2-44-4-44-42-24-22-2-442-2-4220000000000-22-220000000000000000000000000000000000000000−232323−2300000000000000000000000000000
χ1024-4-44-24400-44-4422-2-4-4-2-242-22-2-442-420000000000-22-22000000000000000000000000000000000000000000000000000000000000000000023−230000
χ1034-4-44-24400-44-4422-2-4-4-2-242-22-2-442-420000000000-22-220000000000000000000000000000000000000000000000000000000000000000000−23230000
χ1048888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-40000-1-1-1-1222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1058888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444440000-1-1-1-1-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000000
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χ10788-8-8-48-4008-8-444-444-8-42-4-442-2-44-244000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
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χ10988-8-8-4-4-400-44-444-44442222-22-22-2-2-2-20000000000-1-11100000033−3333−33000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-400-44-444-44442222-22-22-2-2-2-20000000000-1-111000000−3333−3333000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-48-84444-444-4-4222-2-2-2-2-2-2222-44-44-440000-111-12-22-22-2-1-111000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4-884444-444-4-4222-2-2-2-2-2-22224-44-44-40000-111-1-22-22-2211-1-1000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-4004-44-4-8-8844-4-424-44-4-224-2400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-400-884-444-44-8-42-44-4-224-4-24400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-48004-4-8844-4-842-4-4-224-44-444-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4004-44-444-444222-22-22-22-2-2-20000000000-11-1100000033−33−3333000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4004-44-444-444222-22-22-22-2-2-20000000000-11-11000000−333333−33000000000000000000000000000000000000000000000000000000000000000

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