Finite Group Databasebeta

← Group #13172089

Character table — Group #13172089

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666623336666666666666666644366666666666622444661212121212121212121212121212121212124466666661212121212121222444121244661212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-11111111111-1-111111111-1-1-11-111-1-111-111-1-11-11-1-1-1-1-1-11-11-1-1-1
χ31111111111111111111111111111111111111111111111111111-111-11-1-1111111111111111111-1-11-11-1-111-1-11-1-111-11-11-1-1-1-1-1-11-11-1-1
χ41111111111111111111111111111111111111111111111111111-1-11-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ51111111111111111111111111111111111111-1-1111111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-111111111111111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-111-1-1-11-11-1-1-111-11-11-11
χ71111111111111111111111111111111111111-1-11111111111111-11-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11-1-1111-11-1-1-1-1111-11-1-11
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
χ91111111111111111-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-11-1-1-1-111-1-111
χ101111111111111111-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-11-1-1-11111111-1-1-1-1111111-1-1-1-111-11-111-1-1-1-11-1-1111-1-11-111111-1-11-1-1
χ111111111111111111-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-11-1-11111-111-1-1-111-1-11111-111-1-1-1
χ121111111111111111-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1111-1-1-1-11-11-1111-1-1-1-1111111-1-1-1-1111111-11-111-1-1-1-11-1-111-111-1-111-1-1-111-1-11
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-11-1-11111-111-1-11-1-11-111-1-11-1-11-11
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-11-1
χ17222222-122-12-1222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-122-1222-1-1-1-1-1-1-1-1-1022020022-1-122-1-122-1-1-1-1-1-1-1-10020-100-1-100-100-1-10202000000-10-100
χ18222222-122-12-1222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-122-1222-1-1-1-1-1-1-1-1-10-220-20022-1-122-1-1-2-2-1-1-1-1-1-1-1-100-201001100100110-20-200000010100
χ19222222-122-12-1222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-1-2-2-1222-1-1-1-1-1-1-1-1-102-20200-2-211-2-21122111111110020-100-1-100-100-1-10-20-200000010100
χ20222222-122-12-1222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-1-2-2-1222-1-1-1-1-1-1-1-1-10-2-20-200-2-211-2-211-2-21111111100-201001100100110202000000-10-100
χ21222222-122-12-1222-1-2-12-1-2-211-1-1111122-1-12-1-122-1-2-2-211-1-1-1111102-20-20022-1-1-2-211-2-2-1-1-1-111110020-100-1-10010011020-2000000-10100
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χ23222222-122-12-1222-1-2-12-1-2-211-1-1111122-1-12-1-1-2-2-1-2-2-211-1-1-111110220-200-2-21122-1-1-2-21111-1-1-1-10020-100-1-100100110-20200000010-100
χ24222222-122-12-1222-1-2-12-1-2-211-1-1111122-1-12-1-1-2-2-1-2-2-211-1-1-111110-220200-2-21122-1-1221111-1-1-1-100-201001100-100-1-1020-2000000-10100
χ2522222-122-12-1222-122-1-12-1-122-1-1-1-1-1-1-1-122-12-122-12-1-122-1-1-1-1-1-1-12022022-1-122-1-12200-1-1-1-1-1-1-1-1000-10-1-1002-10-1-100202000000-10-1000
χ2622222-122-12-1222-122-1-12-1-122-1-1-1-1-1-1-1-122-12-122-12-1-122-1-1-1-1-1-1-1-202-20-2-2-1-122-1-12200-1-1-1-1-1-1-1-1000101100-2101100-20-2000000101000
χ2722222-122-12-1222-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-12-1-122-1-1-1-1-1-1-120-2202211-2-211-2-20011111111000-10-1-1002-10-1-100-20-2000000101000
χ2822222-122-12-1222-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-12-1-122-1-1-1-1-1-1-1-20-2-20-2-211-2-211-2-20011111111000101100-2101100202000000-10-1000
χ2922222-122-12-1222-12-2-1-1211-2-2-1-11111-1-122-12-122-1-211-2-2-1-1-1111120-2-2022-1-12211-2-200-1-1-1-11111000-10-1-100-210110020-2000000-101000
χ3022222-122-12-1222-12-2-1-1211-2-2-1-11111-1-122-12-122-1-211-2-2-1-1-11111-20-220-2-2-1-12211-2-200-1-1-1-111110001011002-10-1-100-20200000010-1000
χ3122222-122-12-1222-12-2-1-1211-2-2-1-11111-1-122-12-1-2-2-1-211-2-2-1-1-11111202-202211-2-2-1-122001111-1-1-1-1000-10-1-100-2101100-20200000010-1000
χ3222222-122-12-1222-12-2-1-1211-2-2-1-11111-1-122-12-1-2-2-1-211-2-2-1-1-11111-20220-2-211-2-2-1-122001111-1-1-1-10001011002-10-1-10020-2000000-101000
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χ352222-122-12222-1-12222-1-12222222222-1-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1-220-221100000000-1-100000000-2-2-1-2211-1-11-2211-1-10000-21100000010
χ362222-122-12222-1-12222-1-12222222222-1-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-211000000001100000000221-2-211111-2-2111100002-1-1000000-10
χ372222-122-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1200-111111-1-1-11111220-2-2-1-1000000001100000000-2-2-122-1-1-1-11-2-211110000211000000-10
χ382222-122-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1200-111111-1-1-111112-20-22-1-100000000-1-1000000002212-2-1-1111-2211-1-10000-2-1-100000010
χ392222-122-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1200-111111-1-1-11111-2202-21100000000110000000022-1-2211-1-1-12-2-1-1110000-2-1-100000010
χ402222-122-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1200-111111-1-1-11111-2-20221100000000-1-100000000-2-21-2-21111-122-1-1-1-10000211000000-10
χ4122-2-22222-2-222-2-2-2-202220000-2-200002-22-2-2-222-22000002-2-2000000000002-22-200000022-2-200002i−2i00000000000000000002i−2i2i−2i000000
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χ924-4-44-2442-44-4-42-24-404-2-20000-440000222-2-22-400-20000022-20000000002i3−2i3000000000000000000000002i3−2i3000000000000000000000000
χ934-4-44-2-242242-42-2-2-40-21-2−2i32i3002-2−2i32i32i3−2i3-1-12-21220010i3−i300-1-11i3−i3−i3i300000−2i32i300000000000000000000000i3−i3000003-300000000000000000
χ944-4-44-2-242242-42-2-2-40-21-2−2i32i3002-2−2i32i32i3−2i3-1-12-21220010i3−i300-1-11i3−i3−i3i3000002i3−2i300000000000000000000000−i3i300000-3300000000000000000
χ954-4-44-2-242242-42-2-2-40-21-22i3−2i3002-22i3−2i3−2i32i3-1-12-21220010−i3i300-1-11−i3i3i3−i300000−2i32i300000000000000000000000i3−i300000-3300000000000000000
χ964-4-44-2-242242-42-2-2-40-21-22i3−2i3002-22i3−2i3−2i32i3-1-12-21220010−i3i300-1-11−i3i3i3−i3000002i3−2i300000000000000000000000−i3i3000003-300000000000000000
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
χ988888-4-4-4-4-4-4-4-4-4-4-4-4-8222444422-2-2-2-2222222200-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-48-4-4-848-444-840-4-420000440000-442-24-2-4002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-48-44-8-48444-80-42-400004400002-2-44-24-4002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-444-4-4444402220000-2-266-6-62-22-2-2-2200-100000-111-3-33300000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-444-4-4444402220000-2-2-6-6662-22-2-2-2200-100000-11133-3-300000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-484-4-84-8-44480-42-40000-440000-2244-2-4400200000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-4444-444-4022200−4i34i32-22i3−2i32i3−2i3-22-2-2-22-200-10002i3−2i31-11−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-44-4444-444-40222004i3−4i32-2−2i32i3−2i32i3-22-2-2-22-200-1000−2i32i31-11i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-8-4-844-4840-4-4200004-4000044-22-4-2400200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-4444-4-440222−4i34i300-222i3−2i3−2i32i3-2-2-222-2-200-102i3−2i30011-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-4444-4-4402224i3−4i300-22−2i32i32i3−2i3-2-2-222-2-200-10−2i32i30011-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000

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