Finite Group Databasebeta

← Group #13168510

Character table — Group #13168510

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order122233344666666666333666666666121212121212121212122266663666121212121212121244444666666121212121212121212121212444444121212121212121212121212121244412121212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1
χ31111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11-11-11-111-1-111-1-1-11-111-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-1111-1-1-1-11111-1-1-111-1-111-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-111-1-1-11111-1-11-11-1-11111-1-1-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-111-1-1-1-111-1-111-11-11-11-1-111-1-111-1-1111-1-1-1-11111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1111111-1-1111111-1-1111-11-11-111-1-111-1-1-1-1111-1-1-1-111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1111111-1-111-1-11-11-1-1111-1-1-1-1111-11-1-11111-1-111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-11111-1-1-1-111-11-111-1-1-11111-1-111-1-1-111-1-111111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-11111111111-1-1-11-11-11-1-111-1-111-11-111-1-111-1-1-1-11-11
χ17222222-1222-122-122-122-1-12-1-1-12-1-12-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-122002-1-1-1-1-1-122-1-10000-1-1-1-1000000-1-12200-1-1-1-100000220000000000-1-10
χ18222222-1222-122-122-122-1-12-1-1-12-1-12-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-2-2002-1-1-1-1-1-122-1-10000-1-1-1-100000011-2-200111100000-2-20000000000110
χ19222222-1222-122-122-122-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12200-2111111-2-21100001111000000-1-12200-1-1-1-100000-2-20000000000110
χ20222222-1222-122-122-122-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-200-2111111-2-2110000111100000011-2-200111100000220000000000-1-10
χ21222222-1-2-22-122-122-122-1-12-1-1-12-1-12-1-2-2-2-2111111222222-1-1-1-1-2-21111112-200-2-1-1-1-1-1-1-2-21100001111000000-112-200-1-111000002-20000000000-110
χ22222222-1-2-22-122-122-122-1-12-1-1-12-1-12-1-2-2-2-2111111222222-1-1-1-1-2-2111111-2200-2-1-1-1-1-1-1-2-211000011110000001-1-220011-1-100000-2200000000001-10
χ23222222-1-2-22-122-122-122-1-12-1-1-12-1-12-1-2-2-2-2111111-2-2-2-2-2-2-1-1-1-1-2-21111112-200211111122-1-10000-1-1-1-1000000-112-200-1-11100000-2200000000001-10
χ24222222-1-2-22-122-122-122-1-12-1-1-12-1-12-1-2-2-2-2111111-2-2-2-2-2-2-1-1-1-1-2-2111111-2200211111122-1-10000-1-1-1-10000001-1-220011-1-1000002-20000000000-110
χ2522222-1222-122-12222-1-12-1-12-1-1-12-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10022222-1-1-1-1-1-122-1-1-1-1-1-1-1-10022220000220000-1-1-1-10000000-1-1-1-100000
χ2622222-1222-122-12222-1-12-1-12-1-1-12-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-100-2-2222-1-1-1-1-1-1221111-1-1-1-100-2-2-2-20000-2-2000011110000000111100000
χ2722222-1222-122-12222-1-12-1-12-1-1-12-1-1222-1-122-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-10022-2-2-2111111-2-2-1-1-1-1111100-2-2-2-20000220000-1-1-1-10000000111100000
χ2822222-1222-122-12222-1-12-1-12-1-1-12-1-1222-1-122-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-100-2-2-2-2-2111111-2-2111111110022220000-2-2000011110000000-1-1-1-100000
χ2922222-12-2-2-122-12222-1-12-1-12-1-1-12-1-12-2-211-2-2111122-1-1-1-1-1-1-1-111-2-21111002-2-222-1-1-1-111-2-2-1-11111110022-2-200002-20000-1-1110000000-1-11100000
χ3022222-12-2-2-122-12222-1-12-1-12-1-1-12-1-12-2-211-2-2111122-1-1-1-1-1-1-1-111-2-2111100-22-222-1-1-1-111-2-211-1-1111100-2-2220000-22000011-1-1000000011-1-100000
χ3122222-12-2-2-122-12222-1-12-1-12-1-1-12-1-12-2-211-2-21111-2-21111-1-1-1-111-2-21111002-22-2-21111-1-122-1-111-1-1-1-100-2-22200002-20000-1-111000000011-1-100000
χ3222222-12-2-2-122-12222-1-12-1-12-1-1-12-1-12-2-211-2-21111-2-21111-1-1-1-111-2-2111100-222-2-21111-1-12211-1-1-1-1-1-10022-2-20000-22000011-1-10000000-1-11100000
χ332222-1222222-122-1-122-1-12-1-122-1-12-1-1-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-12222000000000002222000022000022-1-1-1-1-1-1-1-1-1-1-1-1200-1-1-1-1000000000
χ342222-1222222-122-1-122-1-12-1-122-1-12-1-1-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-122-2-200000000000-2-2-2-20000-2-2000022-1-111-1-1-1-11111-2001111000000000
χ352222-1222222-122-1-122-1-12-1-122-1-12-1-1-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2220000000000022220000-2-20000-2-211-1-11111-1-1-1-1-2001111000000000
χ362222-1222222-122-1-122-1-12-1-122-1-12-1-1-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000-2-2-2-20000220000-2-2111111111111200-1-1-1-1000000000
χ372222-122-2-222-122-1-122-1-12-1-122-1-12-1-111-2-2-2-2-2-2-2-2000000-1-1-1-1111111112-22-20000000000022-2-200002200002-2-11-11-1-111-1-111-200-1-111000000000
χ382222-122-2-222-122-1-122-1-12-1-122-1-12-1-111-2-2-2-2-2-2-2-2000000-1-1-1-1111111112-2-2200000000000-2-2220000-2-200002-2-111-1-1-11111-1-120011-1-1000000000
χ392222-122-2-222-122-1-122-1-12-1-122-1-12-1-111-2-2-2-2-2-2-2-2000000-1-1-1-111111111-222-20000000000022-2-20000-2-20000-221-1-1111-1-1-1-11120011-1-1000000000
χ402222-122-2-222-122-1-122-1-12-1-122-1-12-1-111-2-2-2-2-2-2-2-2000000-1-1-1-111111111-22-2200000000000-2-2220000220000-221-11-111-1-111-1-1-200-1-111000000000
χ412-22-222200-22-2-2-22-2-22222-222-2-2-2-22-200000000002-222-2-222-2-200000000000002-222-2-20000000000002i−2i0000000000000000000002i−2i0000002i−2i000
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χ442-22-222200-22-2-2-22-2-22222-222-2-2-2-22-20000000000-22-2-22222-2-20000000000000-22-2-222000000000000−2i2i000000000000000000000−2i2i0000002i−2i000
χ452-2-222222-2-2-222-2-2-22-2222-2-2-2-2222-2-22-22-22-222-2-20000002-2-222-22-222-2-200000000000000000000000002i−2i2i−2i0000000000000000000002i−2i2i−2i00000
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χ482-2-22222-22-2-222-2-2-22-2222-2-2-2-2222-2-2-22-22-22-2-2220000002-2-22-22-22-2-2220000000000000000000000000−2i2i2i−2i000000000000000000000−2i2i2i−2i00000
χ492-2-222-122-21-22-1-2-2-221-12-11-211-12-11-22-2-112-2-1-11100−i3i3−i3i3-111-1-112-2-1-1110000000−i3i3−i3i3−i3i3003−33−3−i3−i3i3i3002i−2i2i−2i00000000003−33−30000000−ii−ii00000
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χ884-44-4-24400-442-4-4-22-44-2-242-24-422-4-220000000000000000-2-22200000000000000000000000000000004i−4i000000000000000000000−2i2i00000000000
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χ904-4-4444-24-4-42442-4-4-2-44-2-2-42224-2-2-424-44-4-22-2-222000000-222-24-4-22-2-22200000000000000000000000000000000000000000000000000000000000
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χ934-4-444-2-24-4224-22-4-4-22-2-2122-1-1-2-21224-4-22-2211-1-1002i3−2i32i3−2i31-1-11-22-2211-1-10000000−i3i3−i3i32i3−2i3000000−i3−i3i3i3000000000000000000000000000000000000
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χ984-4-44-24-24-4-42-24222-2-4-21-22-122-21-22-1-224-4-22-2-2220000001-1-11-221-111-1-1000000000000000000000000000000000003i−3i3i−3i00000000000000000000
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χ1004-4-44-24-2-44-42-24222-2-4-21-22-122-21-22-12-2-442-222-2-20000001-1-112-2-11-1-111000000000000000000000000000000000003i−3i−3i3i00000000000000000000
χ1014-4-44-24-2-44-42-24222-2-4-21-22-122-21-22-12-2-442-222-2-20000001-1-112-2-11-1-11100000000000000000000000000000000000−3i3i3i−3i00000000000000000000
χ1024-4-44-2-244-42-4-2-2-422421-2-2-12221-2-2-12-22-224-4-2-2220000001-1-111-1-2211-1-100000000000000023−2323−2300000000000000000000−33−330000000000000000
χ1034-4-44-2-244-42-4-2-2-422421-2-2-12221-2-2-12-22-224-4-2-2220000001-1-111-1-2211-1-1000000000000000−2323−2323000000000000000000003−33−30000000000000000
χ1044-4-44-2-24-442-4-2-2-422421-2-2-12221-2-2-122-22-2-4422-2-20000001-1-11-112-2-1-11100000000000000023−23−232300000000000000000000−333−30000000000000000
χ1054-4-44-2-24-442-4-2-2-422421-2-2-12221-2-2-122-22-2-4422-2-20000001-1-11-112-2-1-111000000000000000−232323−23000000000000000000003−3−330000000000000000
χ1068888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-42222000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000
χ10888-8-8-48-400844-8-44-44-8-42-4-4-24-44-244200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
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χ11088-8-8-4-4-400-4444-44-4442222-2-22-2-2-2-220000006i−6i6i−6i000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-400-4444-44-4442222-2-22-2-2-2-22000000−6i6i−6i6i000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-400-8-44-84-4448-42-442-444-24-4-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-48004844-8-44-8-42-4-4-2-4-44-24424000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4004-4444-444-4222-222-2-2-2-22-20000006i−6i−6i6i000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-4004-4444-444-4222-222-2-2-2-22-2000000−6i6i6i−6i000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-48-844-4-4444-44222-2-2-2-2222-2-2-44-44-4422-2-2000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-8844-4-4444-44222-2-2-2-2222-2-24-44-44-4-2-222000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000000

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