Finite Group Databasebeta

← Group #13172253

Character table — Group #13172253

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666623336666666666666666644366666666666644444121212121212121212121212121212121212121244121212121212121212121212121222444121244661212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-111-1-11111111111111111-1-111-11-1-11111-1-1-1-11-1-11-1-1-1-1-11-1-11-1-1
χ31111111111111111111111111111111111111111111111111111-11-111-1-1111111111111111111-1-1-1-11-111-1-1-1-11111-1-11-11-1-1-1-1-1-11-11-1
χ41111111111111111111111111111111111111111111111111111-1-1-11-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-11-1-1-11
χ51111111111111111111111111111111111111-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-111-1-1-11-1-1-1-1
χ61111111111111111111111111111111111111-1-111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-11-11-1-111-1-11-111
χ71111111111111111111111111111111111111-1-11111111111111-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111-1-11-1-1-1111-1-11-11
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
χ91111111111111111-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111-1111-111-1-111-1-1-1-1-1111111-1-1-111-1
χ101111111111111111-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11-1-1-11-1-11111-1-111-1-11111-1-1-1-1-1-11-1-11-1111-1-1-1-111-1111-1-1-1-1-1-1111-11
χ111111111111111111-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-11-1-1-1-111-1-111
χ121111111111111111-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-11-11111111-1-111-1-11111-1-1-1-111-11-1-1-11-1-111-1-1111-11-1-111111-11-1-1-1
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-1-1-111-1-111-1-1-1-11111111-1111-111-1-111-1-11-11-1-111-1-11-11-1-11
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-111-1-111-1-1-1-11111-1-11-1-11-1111-1-1-1-11111-1-11-1-11111-1-11-1
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1111-1-1-1-1-1111-111-1-1-1-111-1-111-1-1-1-11111-1-1-111-11-1-1-11111-1-1-1111-1-1-111-1111-1-1
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1111111-11-1-1-11-1-111-1-111-1-1-11111-1-1-1-1-1111
χ17222222-1222-1-122-1222-1-1222222-1-12222-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-122202-1-1-1-1000000000000000022222-1-12-1-1-1-1-1-1-1-102000-1-1000-10000
χ18222222-1222-1-122-1222-1-1222222-1-12222-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-12-220-2-1-1110000000000000000-2-222-2-11-2-1-1-1-111110-20001100010000
χ19222222-1222-1-122-1222-1-1222222-1-12222-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1-22-20211-1-10000000000000000-2-2-2-221-121111-1-1-1-10-20001100010000
χ20222222-1222-1-122-1222-1-1222222-1-12222-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20-21111000000000000000022-2-2-211-21111111102000-1-1000-10000
χ21222222-1222-1-122-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1200-111111-1-1-1111122-20-211110000000000000000222-22-1-1-2-1-111-1-1110-2000-1-100010000
χ22222222-1222-1-122-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1200-111111-1-1-111112-2-20211-1-10000000000000000-2-22-2-2-112-1-11111-1-10200011000-10000
χ23222222-1222-1-122-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1200-111111-1-1-11111-2220-2-1-1110000000000000000-2-2-2221-1-211-1-1-1-1110200011000-10000
χ24222222-1222-1-122-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1200-111111-1-1-11111-2-2202-1-1-1-1000000000000000022-22-211211-1-111-1-10-2000-1-100010000
χ2522222-122-1-1222-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-122-1222-1-1-1-1-1-1-1-1-1202202200-1-1-1-12222-1-1-1-1-1-1-1-100-1-10200-1-1-1-10000200200000-100-100
χ2622222-122-1-1222-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-122-1222-1-1-1-1-1-1-1-1-1-20-220-2-200-1-1-1-12222-1-1-1-1-1-1-1-100110-20011110000-200-200000100100
χ2722222-122-1-1222-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-1222-1-1-1-1-1-1-1-1-1202-2022001111-2-2-2-21111111100-1-10200-1-1-1-10000-200-200000100100
χ2822222-122-1-1222-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-1222-1-1-1-1-1-1-1-1-1-20-2-20-2-2001111-2-2-2-21111111100110-20011110000200200000-100-100
χ2922222-122-1-1222-122-2-12-1-2-211-1-12-1111122-1-1-122-1-2-2-211-1-1-1111120-2-20-2-200-1-11122-2-2-1-1-1-1111100-110200-1-1110000-200200000100-100
χ3022222-122-1-1222-122-2-12-1-2-211-1-12-1111122-1-1-122-1-2-2-211-1-1-11111-202-202200-1-11122-2-2-1-1-1-11111001-10-20011-1-10000200-200000-100100
χ3122222-122-1-1222-122-2-12-1-2-211-1-12-1111122-1-1-1-2-2-1-2-2-211-1-1-1111120-220-2-20011-1-1-2-2221111-1-1-1-100-110200-1-1110000200-200000-100100
χ3222222-122-1-1222-122-2-12-1-2-211-1-12-1111122-1-1-1-2-2-1-2-2-211-1-1-11111-20220220011-1-1-2-2221111-1-1-1-1001-10-20011-1-10000-200200000100-100
χ332222-122-12222-122-12-1-12-1-122-1-1-12-1-1-1-1-1-122-122-12-1-122-1-1-1-1-1-1-10202200222222-1-1-1-1-1-1-1-1-1-1-1-10000-102-10000-1-1-1-100202000000-10-10
χ342222-122-12222-122-12-1-12-1-122-1-1-12-1-1-1-1-1-122-122-12-1-122-1-1-1-1-1-1-10-202-200-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000010-210000111100-20-20000001010
χ352222-122-12222-122-12-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-12-1-122-1-1-1-1-1-1-1020-220022-2-2-2-21111111111110000-102-10000-1-1-1-100-20-20000001010
χ362222-122-12222-122-12-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-12-1-122-1-1-1-1-1-1-10-20-2-200-2-2-2-2-2-2111111111111000010-210000111100202000000-10-10
χ372222-122-12222-122-1-2-1-1211-2-2-1-1-121111-1-122-122-1-211-2-2-1-1-11111020-2-200-2-222-2-2-1-111-1-1-1-111110000-10210000-1-11100-20200000010-10
χ382222-122-12222-122-1-2-1-1211-2-2-1-1-121111-1-122-122-1-211-2-2-1-1-111110-20-22002222-2-2-1-111-1-1-1-11111000010-2-1000011-1-10020-2000000-1010
χ392222-122-12222-122-1-2-1-1211-2-2-1-1-121111-1-122-1-2-2-1-211-2-2-1-1-111110202-200-2-2-2-22211-1-11111-1-1-1-10000-10210000-1-1110020-2000000-1010
χ402222-122-12222-122-1-2-1-1211-2-2-1-1-121111-1-122-1-2-2-1-211-2-2-1-1-111110-20220022-2-22211-1-11111-1-1-1-1000010-2-1000011-1-100-20200000010-10
χ4122-2-2222-22-2-2-22-22-2022200002-2-2-200002-22-2-22i−2i2000002-2-200000000000002i−2i002i−2i002i2i−2i−2i00002-200000000000000000002-22i−2i000000
χ4222-2-2222-22-2-2-22-22-2022200002-2-2-200002-22-2-22i−2i2000002-2-200000000000002i−2i002i−2i002i2i−2i−2i0000-220000000000000000000-22−2i2i000000
χ4322-2-2222-22-2-2-22-22-2022200002-2-2-200002-22-2-2−2i2i2000002-2-20000000000000−2i2i00−2i2i00−2i−2i2i2i00002-200000000000000000002-2−2i2i000000
χ4422-2-2222-22-2-2-22-22-2022200002-2-2-200002-22-2-2−2i2i2000002-2-20000000000000−2i2i00−2i2i00−2i−2i2i2i0000-220000000000000000000-222i−2i000000
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χ524444-24-2-244-2-2-24-2-2-4-21-222-4-4-2-21-2222211-2-2-20012-1-122111-1-1-1-10-400400-2-200000000000000000000202-20000-1-111000000000000000
χ534444-2-24-2-2-244-2-24-241-2-2-2-2-2-211-2-21111-2-2-2-214414-2-2-2-21111111000400000-2-2-2-2-2-2-2-2111111110000000000000000000000000000000
χ544444-2-24-2-2-244-2-24-241-2-2-2-2-2-211-2-21111-2-2-2-21-4-414-2-2-2-21111111000-40000022222222-1-1-1-1-1-1-1-10000000000000000000000000000000
χ554444-2-24-2-2-244-2-24-2-41-2-2222211-2-2-1-1-1-1-2-2-2-21441-42222111-1-1-1-1000-400000-2-222-2-2221111-1-1-1-10000000000000000000000000000000
χ564444-2-24-2-2-244-2-24-2-41-2-2222211-2-2-1-1-1-1-2-2-2-21-4-41-42222111-1-1-1-100040000022-2-222-2-2-1-1-1-111110000000000000000000000000000000
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χ6644-4-4-2-242-22-4-4-224201-2-200001-122-3-333-22-22-1−4i4i1000001-1-1-3-3330000000002i−2i002i−2i00−i−iii3i3i−3i−3i0000000000000000000000000000000
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χ914-4-44-2442-4-4-4424-4-20-2-240000222400002-2-4-4-200-20000022-20000000000000000000−2i32i30000−2i32i32i3−2i30000000000000000000000000000000
χ924-4-44-2442-4-4-4424-4-20-2-240000222400002-2-4-4-200-20000022-200000000000000000002i3−2i300002i3−2i3−2i32i30000000000000000000000000000000
χ934-4-44-2-24222-442-2-4-201-2-200−2i32i3-1-12-2i3−i3−i3i32-2221001000−2i32i3-1-11i3−i3−i3i3000000000000000−2i32i33-3-33i3−i3−i3i30000000000000000000000000000000
χ944-4-44-2-24222-442-2-4-201-2-200−2i32i3-1-12-2i3−i3−i3i32-2221001000−2i32i3-1-11i3−i3−i3i30000000000000002i3−2i3-333-3−i3i3i3−i30000000000000000000000000000000
χ954-4-44-2-24222-442-2-4-201-2-2002i3−2i3-1-12-2−i3i3i3−i32-22210010002i3−2i3-1-11−i3i3i3−i3000000000000000−2i32i3-333-3i3−i3−i3i30000000000000000000000000000000
χ964-4-44-2-24222-442-2-4-201-2-2002i3−2i3-1-12-2−i3i3i3−i32-22210010002i3−2i3-1-11−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
χ988888-4-4-4-4-4-4-4-4-4-4-4-4-822244442222-2-2-2-22222200-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-88-4-4-8-444484-4-80-4-420000-444-20000-442-24002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-448-844-4-8-440-42-40000-44-2400002-2-444002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-44-4444-44-44022200002-2-2-266-6-62-22-2-200-100000-111-3-33300000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-44-4444-44-44022200002-2-2-2-6-6662-22-2-200-100000-11133-3-300000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-484-4-44-844-80-4-4200004-4-4-2000044-22400200000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-44-4-4444440222−4i34i300-222-22i3−2i32i3−2i3-2-2-22-200-102i3−2i3001-11−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4-44-4-44444402224i3−4i300-222-2−2i32i3−2i32i3-2-2-22-200-10−2i32i3001-11i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-8-84-4484-40-42-4000044-2-40000-2244-400200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44444-44-44-4022200−4i34i3-2-2-222i3−2i3−2i32i3-22-2-2200-10002i3−2i311-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44444-44-44-40222004i3−4i3-2-2-22−2i32i32i3−2i3-22-2-2200-1000−2i32i311-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000

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