Finite Group Databasebeta

← Group #13172729

Character table — Group #13172729

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666623336666666666666666644366666666666622444121212121212121212121212121212121212121244666666661212121212122224412122266612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-11-1111-1-11111111111111111-1-11-11-111-1-11-111-1-11-1-11-1-1-1-1-11-1-11-1-1
χ31111111111111111111111111111111111111111111111111111-11-111-1-1111111111111111111-1-1-11-11-1-111-11-1-111-11-1-11-1-1-1-1-11-1-11-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-11
χ51111111111111111111111111111111111111-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-1-111-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-111-1-1-11-1-11-1-111-11-1-111
χ71111111111111111111111111111111111111-1-11111111111111-11-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-1-1111-1-11-1-1-1111-1-11-11
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
χ91111111111111111-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-1
χ101111111111111111-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-11-1-11-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-111-1-1-11-1-1111-11-11-1-1-1-11-11-111
χ111111111111111111-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1111-111-1-1-1111-1-1-1-1-1-1111-11
χ121111111111111111-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-1-1-111-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-111-1
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11-11-111-1-1-11-1-111-1111-1-1-111-1111-1-1
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1111-1-1-1-1-111-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-11-1-1111-111-1-11-11-11-1-1111-11-11-1
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-111-1-111-1-1-11
χ17222222-122-1-122-12222-1-12222222222-1-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-122220-1-1-1-100000000000000002222-1-1-1-1-1-122-1-1-1-100200-1-10000-1000
χ18222222-122-1-122-12222-1-12222222222-1-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-12-22-20-1-1110000000000000000-2-22-2-11-1-1112-2-1-11100-2001100001000
χ19222222-122-1-122-12222-1-12222222222-1-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1-22-22011-1-10000000000000000-2-2-221-111-1-1-2211-1-100-2001100001000
χ20222222-122-1-122-12222-1-12222222222-1-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-201111000000000000000022-2-2111111-2-2111100200-1-10000-1000
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χ23222222-122-1-122-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1200-111111-1-1-11111-222-20-1-1110000000000000000-2-2-221-111-1-12-2-1-11100200110000-1000
χ24222222-122-1-122-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1200-111111-1-1-11111-2-2220-1-1-1-1000000000000000022-2-211111122-1-1-1-100-200-1-100001000
χ2522222-122-1222-122-12-12-122-1-1-1-1-1-1-1-122-1-12-1-122-1222-1-1-1-1-1-1-1-1-102022002222-1-122-1-1-1-1-1-1-1-1-1-1000-10200-1-10-100-1-10200200000-100-10
χ2622222-122-1222-122-12-12-122-1-1-1-1-1-1-1-122-1-12-1-122-1222-1-1-1-1-1-1-1-1-10-20-2200-2-222-1-122-1-1-1-1-1-1-1-1-1-100010-200110100110-200-20000010010
χ2722222-122-1222-122-12-12-122-1-1-1-1-1-1-1-122-1-12-1-1-2-2-1222-1-1-1-1-1-1-1-1-10202-20022-2-211-2-21111111111000-10200-1-10-100-1-10-200-20000010010
χ2822222-122-1222-122-12-12-122-1-1-1-1-1-1-1-122-1-12-1-1-2-2-1222-1-1-1-1-1-1-1-1-10-20-2-200-2-2-2-211-2-2111111111100010-200110100110200200000-100-10
χ2922222-122-1222-122-1-2-12-1-2-211-1-1111122-1-12-1-122-1-2-2-211-1-1-11111020-2-200-2-222-1-1-2-211-1-1-1-11111000-10200-1-10100110200-200000-10010
χ3022222-122-1222-122-1-2-12-1-2-211-1-1111122-1-12-1-122-1-2-2-211-1-1-111110-202-2002222-1-1-2-211-1-1-1-1111100010-200110-100-1-10-200200000100-10
χ3122222-122-1222-122-1-2-12-1-2-211-1-1111122-1-12-1-1-2-2-1-2-2-211-1-1-11111020-2200-2-2-2-21122-1-11111-1-1-1-1000-10200-1-10100110-200200000100-10
χ3222222-122-1222-122-1-2-12-1-2-211-1-1111122-1-12-1-1-2-2-1-2-2-211-1-1-111110-20220022-2-21122-1-11111-1-1-1-100010-200110-100-1-10200-200000-10010
χ332222-122-1222-122-122-1-12-1-122-1-1-1-1-1-1-1-122-12-122-12-1-122-1-1-1-1-1-1-1202022200-1-122-1-122-1-1-1-1-1-1-1-100-1020-1-100-10-1-100200200000-100-100
χ342222-122-1222-122-122-1-12-1-122-1-1-1-1-1-1-1-122-12-122-12-1-122-1-1-1-1-1-1-1-20-202-2-200-1-122-1-122-1-1-1-1-1-1-1-10010-201100101100-200-200000100100
χ352222-122-1222-122-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-12-1-122-1-1-1-1-1-1-12020-2220011-2-211-2-21111111100-1020-1-100-10-1-100-200-200000100100
χ362222-122-1222-122-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-12-1-122-1-1-1-1-1-1-1-20-20-2-2-20011-2-211-2-2111111110010-201100101100200200000-100-100
χ372222-122-1222-122-12-2-1-1211-2-2-1-11111-1-122-12-122-1-211-2-2-1-1-1111120-20-2-2-200-1-12211-2-2-1-1-1-1111100-1020-1-100101100200-200000-100100
χ382222-122-1222-122-12-2-1-1211-2-2-1-11111-1-122-12-122-1-211-2-2-1-1-11111-2020-22200-1-12211-2-2-1-1-1-111110010-201100-10-1-100-200200000100-100
χ392222-122-1222-122-12-2-1-1211-2-2-1-11111-1-122-12-1-2-2-1-211-2-2-1-1-1111120-202-2-20011-2-2-1-1221111-1-1-1-100-1020-1-100101100-200200000100-100
χ402222-122-1222-122-12-2-1-1211-2-2-1-11111-1-122-12-1-2-2-1-211-2-2-1-1-11111-20202220011-2-2-1-1221111-1-1-1-10010-201100-10-1-100200-200000-100100
χ412-2-22222-2-2-2-2222-2-202220000-2-200002-22-2-2-222-22000002-2-200000000000002-22-2000022-2-200002-200000000000000000002-22-2000000
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χ934-4-44-2-2422-4-4-2-242201-2-20000-1-13-3-33-22-222214-41000001-1-13-3-33000000000-22-22000011-1-13-3-330000000000000000000000000000000
χ944-4-44-2-2422-4-4-2-242201-2-20000-1-13-3-33-22-22221-441000001-1-13-3-330000000002-22-20000-1-111-333-30000000000000000000000000000000
χ954-4-44-2-2422-4-4-2-242201-2-20000-1-1-333-3-22-222214-41000001-1-1-333-3000000000-22-22000011-1-1-333-30000000000000000000000000000000
χ964-4-44-2-2422-4-4-2-242201-2-20000-1-1-333-3-22-22221-441000001-1-1-333-30000000002-22-20000-1-1113-3-330000000000000000000000000000000
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
χ9988-8-8-48-4-4-8-444-84480-42-40000-440000-2244-2-4400200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-44-444444-4022200−4i34i32-22i32i3−2i3−2i3-22-2-2-22-200-10002i3−2i31-11−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-44-444444-40222004i3−4i32-2−2i3−2i32i32i3-22-2-2-22-200-1000−2i32i31-11i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1028-88-88-4-4-8-44-4-844840-4-4200004-4000044-22-4-2400200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44-44-4444-440222−4i34i300-222i3−2i32i3−2i3-2-2-222-2-200-102i3−2i30011-1−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-44-4444-4402224i3−4i300-22−2i32i3−2i32i3-2-2-222-2-200-10−2i32i30011-1i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-84448-4-4-840-4-420000440000-442-24-2-4002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-844-48-44-80-42-400004400002-2-44-24-4002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44444-4-4-44402220000-2-26-6-662-22-2-2-2200-100000-111-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44444-4-4-44402220000-2-2-666-62-22-2-2-2200-100000-1113-3-3300000000000000000000000000000000000000000000000000000000

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