Finite Group Databasebeta

← Group #13171760

Character table — Group #13171760

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order122233366666666623336666666664444443666666666666666644412121212121212121212121244444412121212121212121212121212121212121222224441212121212121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111111111111111111-11111-1-11111-1-111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111-1-111111111111111111111-1111-1-11111-1-111-1-111-1-11-111-111111-1-1-1-11111-1-1-1-1-11-1-1-111-1-1-11-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-111
χ511111111111111111111111111111-1-1111111111111111111111-111-1-11111-1-11111-1-1-1-111-111-111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111-1-11-1
χ611111111111111111111111111111-1-111-1-111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-11-1-11-1-1-1-1-11111-1-1-1-11111-11-1-1-111-1-1-11-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11-1-11
χ811111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ91111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111-11111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-11111-1-111-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1111
χ111111111111111111-111111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-111-1-11111-1-111-1-111-1-1-11-1-11-111-1-1-1-11111-1-1-1-1-1-11-11-1-111-1-11-111
χ121111111111111111-111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-111-11111-1-1-1-111-1-111111111-1-1-1-1-11111-1-1
χ131111111111111111-1111111111111-1-111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1111-1-11-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-11111-11
χ141111111111111111-1111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-111-1-1-1-111-1-1-1-111-1-11-111-11-1-11111-1-1-1-11111111-11-1-111-1-11-11-1
χ151111111111111111-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-111-1-11111-1-11111-11111-1-1-1-1-111-1
χ161111111111111111-1111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-122-12222-1-122-1-12-1-122-1-1-1-1002222-122-122-1-1-1-1-1-1-1-1-1-1-10220022-1-100-1-1220000220-1202-10000-1-1-1-1-1-1-1-100000020000-1-100-10
χ18222222-122-12222-1-122-1-12-1-122-1-1-1-10022-2-2-122-122-1-1-1-1-1-1-1-1-1-1-102-200221100-1-1-2-20000-2-20-1-20210000-1-1-1-11111000000-20000110010
χ19222222-122-12222-1-122-1-12-1-122-1-1-1-100-2-222-122-122-1-1-1-1-1-1-1-1-1-1-10-2200-2-2-1-10011220000-2-20120-2-100001111-1-1-1-1000000-20000110010
χ20222222-122-12222-1-122-1-12-1-122-1-1-1-100-2-2-2-2-122-122-1-1-1-1-1-1-1-1-1-1-10-2-200-2-2110011-2-200002201-20-2100001111111100000020000-1-100-10
χ21222222-122-12222-1-1-22-1-12-1-122-1-1-1-1002222-1-2-21-2-21111-1-1-111110-2-20022-1-100-1-12200002201-20-210000-1-111-1-111000000-20000-1-10010
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χ23222222-122-12222-1-1-22-1-12-1-122-1-1-1-100-2-222-1-2-21-2-21111-1-1-1111102-200-2-2-1-10011220000-2-20-1-2021000011-1-1-1-111000000200001100-10
χ24222222-122-12222-1-1-22-1-12-1-122-1-1-1-100-2-2-2-2-1-2-21-2-21111-1-1-1111102200-2-2110011-2-20000220-1202-1000011-1-111-1-1000000-20000-1-10010
χ2522222-122-1222-1-1222-12-1-12-1-1-122-1-1220022-12-12-1-122-1-1-1-1-1-1-1-1-1202-1-100222200-1-100220020-1-102-1-1-1-10000-1-1-1-1000002000-1-1000-100
χ2622222-122-1222-1-1222-12-1-12-1-1-122-1-12200-2-2-12-12-1-122-1-1-1-1-1-1-1-1-120-2-1-100-2-222001100-2-200201-10-2-1-1-1-10000111100000-200011000100
χ2722222-122-1222-1-1222-12-1-12-1-1-122-1-1-2-20022-12-12-1-122-1-1-1-1-1-1-1-1-1-202110022-2-200-1-100-2-200-20-110211110000-1-1-1-100000-200011000100
χ2822222-122-1222-1-1222-12-1-12-1-1-122-1-1-2-200-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-20-21100-2-2-2-20011002200-20110-2111100001111000002000-1-1000-100
χ2922222-122-1222-1-122-2-12-1-12-1-1-122-1-1220022-1-21-211-2-211-1-1-11111-20-2-1-100222200-1-1002200-20110-2-1-1110000-1-11100000-2000-1-1000100
χ3022222-122-1222-1-122-2-12-1-12-1-1-122-1-12200-2-2-1-21-211-2-211-1-1-11111-202-1-100-2-222001100-2-200-20-1102-1-111000011-1-100000200011000-100
χ3122222-122-1222-1-122-2-12-1-12-1-1-122-1-1-2-20022-1-21-211-2-211-1-1-1111120-2110022-2-200-1-100-2-200201-10-211-1-10000-1-11100000200011000-100
χ3222222-122-1222-1-122-2-12-1-12-1-1-122-1-1-2-200-2-2-1-21-211-2-211-1-1-111112021100-2-2-2-2001100220020-1-10211-1-1000011-1-100000-2000-1-1000100
χ332222-122-122-1-122222-1-12-1-12-1-1-1-122222200-1-122-1-1-1-122-1-1-1-1-1-1-122022-1-100-1-12200220000-1202-10-1-1-1-1-1-1-1-100000000200-1-10000-1000
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χ362222-122-122-1-122222-1-12-1-12-1-1-1-122-2-2-2-200-1-122-1-1-1-122-1-1-1-1-1-1-1-2-20-2-2110011-2-2002200001-20-2101111111100000000200-1-10000-1000
χ372222-122-122-1-12222-2-1-12-1-12-1-1-1-122222200-11-2-21111-2-2-1-1-11111-2-2022-1-100-1-122002200001-20-210-1-111-1-11100000000-200-1-100001000
χ382222-122-122-1-12222-2-1-12-1-12-1-1-1-12222-2-200-11-2-21111-2-2-1-1-11111-220221100-1-1-2-200-2-20000120-2-10-1-11111-1-100000000200110000-1000
χ392222-122-122-1-12222-2-1-12-1-12-1-1-1-122-2-22200-11-2-21111-2-2-1-1-111112-20-2-2-1-100112200-2-20000-1-2021011-1-1-1-11100000000200110000-1000
χ402222-122-122-1-12222-2-1-12-1-12-1-1-1-122-2-2-2-200-11-2-21111-2-2-1-1-11111220-2-2110011-2-200220000-1202-1011-1-111-1-100000000-200-1-100001000
χ4122-2-22222-2-2-2-22-22-20222-2-222-22-2-2-200002i−2i20000000002-2-2000000000002i−2i00002i−2i2i−2i0000000000000000002i−2i0022-2-20002i−2i00000000
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χ944-4-44-2-242242-22-2-4-401-2-2122-1-12-22-2−4i4i00001000-330000-1-11-333-30002i−2i00002i−2i0000000000000000−ii3i−3i0000000000000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-48222222222222000000-1-4-4-4222222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-4-4-4-4-4-4-4-4-4-8222222222222000000-1444-2-2-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9788-8-8-48-4-4-84448-8-440-42-44-2-4-442-24400000020000000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-48-44-844-448-802-4-4-24-42-2-444400000020000000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-4-44444-44-440222-2-222-22-2-2-2000000-100000006-6-111-3-33300000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-44444-44-440222-2-222-22-2-2-2000000-10000000-66-11133-3-300000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-4-8-448-8444-40-4-424-4-24-4442-20000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-484-4-8-4444-8802-4-4-2-44-2244-440000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44-44-44444-40222-22-2-22-2-22-2000000-1000006-6001-11-33-3300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-44-44444-40222-22-2-22-2-22-2000000-100000-66001-113-33-300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-84-4-884-4440-4-42-44-2444-4-220000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-8-44-4-88440-42-4-4-2444-224-40000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-44-44-44402222-2-2-2-2-22-22000000-10006-6000011-1-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-44-44-44402222-2-2-2-2-22-22000000-1000-66000011-13-3-3300000000000000000000000000000000000000000000000000000000

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