Finite Group Databasebeta

← Group #13171957

Character table — Group #13171957

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order12223336666666662333666666666666666664436666666666662444466121212121212121212121212121212121212446661212121212121212121212244441212446121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1111111-1-1111111111111-1-11111-11-1-111-1-1-1-1-11-11-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111111111111111111111111-111-11-1-1111111111111111111-1-1-1-1-1-11-111-1-11111-1-11-11-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111-1-11-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11
χ51111111111111111111111111111111111111-1-1111111111111111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-11-1-1-1-1-1
χ61111111111111111111111111111111111111-1-111111111111111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-11-11-1-111-1-1-1111
χ71111111111111111111111111111111111111-1-11111111111111-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-11-11-1-1-111-111-1-11
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111-1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-111-1-1-11111-1-11111-1-11111-1-1-1-111111-1-1-11-1-1-111-1-1-1-1-1111111-11-1-11-1
χ101111111111111111-1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-11-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1111-11-1-11-1-1-1-1111-111-1-1-1-1-111-11-11
χ111111111111111111-1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-1-11-11-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-111-11111-1-111-1-11-1-1-1-11-11-111
χ121111111111111111-1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1111-1111-1-111-111-1-11111-1-111-1-1
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11-1-1-1-1-1111-1-1-1-1111-1-111-1-11111-1-111-1-1-1-1111111111-1-1-11-1-1-111-1-1-111-1-111-1-1-1-111-11
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11-1-1-1-1-1111-1-1-1-11-11-1111-1-111-1-1-1-111-1-1-1-11111-1-1111-11-1-11-1-1-1-11111-1-11-1-1111-11-11-1
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11-111-11111-1-11-111-1-1-11111-11-1-1
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1111-1111-1-111-1-1-11111-1-1-11-1-111
χ17222222-12-1-12222-1222-1-1222222-12222-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-122022-1-10000-1-1000000000000222-1-1-1-1222-1-1-1-1-1-120000-1-100-100000
χ18222222-12-1-12222-1222-1-1222222-12222-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-12-202-2-1-1000011000000000000-2-22-1-1-112-2-2-1-11111-200001100100000
χ19222222-12-1-12222-1222-1-1222222-12222-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1-220-22110000-1-1000000000000-2-2-2111-1-22211-1-1-1-1-200001100100000
χ20222222-12-1-12222-1222-1-1222222-12222-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-21100001100000000000022-21111-2-2-211111120000-1-100-100000
χ21222222-12-1-12222-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-1200-111111-1-1-11111220-2-2-1-10000-1-1000000000000222-1-111-22-211-1-111-20000-1-100100000
χ22222222-12-1-12222-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-1200-111111-1-1-111112-20-22-1-1000011000000000000-2-22-1-11-1-2-221111-1-1200001100-100000
χ23222222-12-1-12222-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-1200-111111-1-1-11111-2202-2110000-1-1000000000000-2-2-211-1122-2-1-1-1-111200001100-100000
χ24222222-12-1-12222-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-1200-111111-1-1-11111-2-20221100001100000000000022-211-1-12-22-1-111-1-1-20000-1-100100000
χ2522222-12222-1-1-12222-12-122-1-1-1-12-1-1-1-1-1-122-1-122-1222-1-1-1-1-1-1-1-1-12022022-1-1-1-1002222-1-1-1-1-1-1-1-100-1-1-120-100-1-100000202000000-1-1000
χ2622222-12222-1-1-12222-12-122-1-1-1-12-1-1-1-1-1-122-1-122-1222-1-1-1-1-1-1-1-1-1-202-20-2-2-1-1-1-1002222-1-1-1-1-1-1-1-100111-201001100000-20-200000011000
χ2722222-12222-1-1-12222-12-122-1-1-1-12-1-1-1-1-1-122-1-1-2-2-1222-1-1-1-1-1-1-1-1-120-22022111100-2-2-2-21111111100-1-1-120-100-1-100000-20-200000011000
χ2822222-12222-1-1-12222-12-122-1-1-1-12-1-1-1-1-1-122-1-1-2-2-1222-1-1-1-1-1-1-1-1-1-20-2-20-2-2111100-2-2-2-21111111100111-201001100000202000000-1-1000
χ2922222-12222-1-1-1222-2-12-1-2-211-1-121111-1-122-1-122-1-2-2-211-1-1-1111120-2-2022-1-1110022-2-2-1-1-1-1111100-1-1-1-201001100000-202000000-11000
χ3022222-12222-1-1-1222-2-12-1-2-211-1-121111-1-122-1-122-1-2-2-211-1-1-11111-20-220-2-2-1-1110022-2-2-1-1-1-111110011120-100-1-10000020-20000001-1000
χ3122222-12222-1-1-1222-2-12-1-2-211-1-121111-1-122-1-1-2-2-1-2-2-211-1-1-11111202-202211-1-100-2-2221111-1-1-1-100-1-1-1-20100110000020-20000001-1000
χ3222222-12222-1-1-1222-2-12-1-2-211-1-121111-1-122-1-1-2-2-1-2-2-211-1-1-11111-20220-2-211-1-100-2-2221111-1-1-1-10011120-100-1-100000-202000000-11000
χ332222-122-122222-12-12-1-12-1-122-1-1-1-1-1-1-122-1-12-122-12-1-122-1-1-1-1-1-1-10220200222222-1-1-1-1-1-1-1-1-1-1-1-100000020-1-100-1-1-1-1002020000000-1-10
χ342222-122-122222-12-12-1-12-1-122-1-1-1-1-1-1-122-1-12-122-12-1-122-1-1-1-1-1-1-10-220-2002222-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000-201100111100-20-20000000110
χ352222-122-122222-12-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-12-1-122-1-1-1-1-1-1-102-20200-2-2-2-22211111111111100000020-1-100-1-1-1-100-20-20000000110
χ362222-122-122222-12-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-12-1-122-1-1-1-1-1-1-10-2-20-200-2-2-2-2-2-2111111111111000000-2011001111002020000000-1-10
χ372222-122-122222-12-1-2-1-1211-2-2-1-1-1111122-1-12-122-1-211-2-2-1-1-1111102-20-20022-2-222-1-111-1-1-1-11111000000-20-1100-1-11100-20200000001-10
χ382222-122-122222-12-1-2-1-1211-2-2-1-1-1111122-1-12-122-1-211-2-2-1-1-111110-2-2020022-2-2-2-2-1-111-1-1-1-11111000000201-10011-1-10020-20000000-110
χ392222-122-122222-12-1-2-1-1211-2-2-1-1-1111122-1-12-1-2-2-1-211-2-2-1-1-111110220-200-2-2222211-1-11111-1-1-1-1000000-20-1100-1-1110020-20000000-110
χ402222-122-122222-12-1-2-1-1211-2-2-1-1-1111122-1-12-1-2-2-1-211-2-2-1-1-111110-220200-2-222-2-211-1-11111-1-1-1-1000000201-10011-1-100-20200000001-10
χ4122-2-2222-2-2-22-2-222-2022200002-2-200002-22-2-2-22i−2i2000002-2-2000000000002i−2i00002i−2i002i2i−2i−2i00002-200000000000000000002-22i−2i000000
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χ4322-2-2222-2-2-22-2-222-2022200002-2-200002-22-2-2-2−2i2i2000002-2-200000000000−2i2i0000−2i2i00−2i−2i2i2i00002-200000000000000000002-2−2i2i000000
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χ4544444-2-24-2-2-2-2-24-244-2-2144-2-2-2-2-2-2-2-2-211-2-21-2001-2-2-211111111140040-2-200000000000000000000-211-20-200110000000000000000000
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χ494444-24-2-2-2-2444-2-2-24-21-2-2-244-2-21-2-2-2-2-2-211-2-2001-211-2-2111111104004000000-2-2000000000000000000-20-2-2001111000000000000000
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χ534444-2-24-244-2-2-2-24-241-2-2-2-2-2-211-21111-2-2-2-2-214414-2-2-2-211111110040000-2-2-2-200-2-2-2-2111111110000000000000000000000000000000
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χ564444-2-24-244-2-2-2-24-2-41-2-2222211-2-1-1-1-1-2-2-2-2-21-4-41-42222111-1-1-1-1004000022-2-20022-2-2-1-1-1-111110000000000000000000000000000000
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χ914-4-44-2442-44-4-442-4-20-2-2400002220000-4-42-24-200-20000022-20000000000000000000−2i32i30000−2i32i32i3−2i30000000000000000000000000000000
χ924-4-44-2442-44-4-442-4-20-2-2400002220000-4-42-24-200-20000022-200000000000000000002i3−2i300002i3−2i3−2i32i30000000000000000000000000000000
χ934-4-44-2-242-4422-22-4-201-2-200−2i32i3-1-12i3−i3−i3i3222-2-21001000−2i32i3-1-11i3−i3−i3i3000000000000000−2i32i33-3-33i3−i3−i3i30000000000000000000000000000000
χ944-4-44-2-242-4422-22-4-201-2-200−2i32i3-1-12i3−i3−i3i3222-2-21001000−2i32i3-1-11i3−i3−i3i30000000000000002i3−2i3-333-3−i3i3i3−i30000000000000000000000000000000
χ954-4-44-2-242-4422-22-4-201-2-2002i3−2i3-1-12−i3i3i3−i3222-2-210010002i3−2i3-1-11−i3i3i3−i3000000000000000−2i32i3-333-3i3−i3−i3i30000000000000000000000000000000
χ964-4-44-2-242-4422-22-4-201-2-2002i3−2i3-1-12−i3i3i3−i3222-2-210010002i3−2i3-1-11−i3i3i3−i30000000000000002i3−2i33-3-33−i3i3i3−i30000000000000000000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4-4-4222222222222200-1-42222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4-82224444222-2-2-2-222222200-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-88-4-4-844-4448-4-80-4-420000-44400002-2-44-24002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-44448-8-8-4-440-42-40000-44-20000-442-244002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4444-444-4-44022200002-2-266-6-62-22-2-2-200-100000-111-3-33300000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4444-444-4-44022200002-2-2-6-6662-22-2-2-200-100000-11133-3-300000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-48-444-44-84-80-4-4200004-4-40000-2244-2400200000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-4-444-444440222−4i34i300-2222i3−2i32i3−2i3-22-2-2-2-200-102i3−2i3001-11−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4-4-444-4444402224i3−4i300-222−2i32i3−2i32i3-22-2-2-2-200-10−2i32i3001-11i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-444-4-8-8844-40-42-4000044-2000044-22-4-400200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-444-444-4022200−4i34i3-2-2-22i3−2i3−2i32i3-2-2-222200-10002i3−2i311-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-444-444-40222004i3−4i3-2-2-2−2i32i32i3−2i3-2-2-222200-1000−2i32i311-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000

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