Finite Group Databasebeta

← Group #13171755

Character table — Group #13171755

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order122233366666666623336666666664444443666666666666666644412121212121212121212121222444412121212121212121212121212121212121244442446612121212612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111111111111111-1111-1-1-1-111111111-1-1-1-1111-11-111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-1111111111111111111111-1111111-1-111-1-1-1-111-1-11-1-11111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1111-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11-1-111-1-1-11-11
χ511111111111111111111111111111-1-1111111111111111111111-111-1-1111111-1-111-1-1-1-111-1111-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1-11-1-1
χ611111111111111111111111111111-1-111-1-111111111111111111-1-11-1-1-1-1-1-111-1-111-1-111-1-1-111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1111-1-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-11-111-1-1-1-1-1-111
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
χ101111111111111111-11111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-111111111-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-1-1-11-1111-1-1-1-111-11
χ111111111111111111-111111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111-1111
χ121111111111111111-111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1111-1111-1-1-1-111-1-111111111-1-1-111-1-11-11-1
χ131111111111111111-1111111111111-1-111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1111-1-1-11-1-1-11111-1-111-1-1-1-1-1-111-1-1-111-1-11-111
χ141111111111111111-1111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-11-1-1111-1-11111-1-1-1-1111111-111-1-1-1-111-111-1
χ151111111111111111-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-1-1-111-1-1-1-1111-11-1-1-111-1-11111-1-111111-1111-1-1-1-111-1-1
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
χ17222222-122-1-12222-122-1-12-1-122-1-1-1-1220022-122-122-1-1-1-1-1-1-1-1-1-1-1220-1-1-1-1220022000022002002-1-1-1-1-1-10000-1-1-1-100002000000-1-1-1000
χ18222222-122-1-12222-122-1-12-1-122-1-1-1-12200-2-2-122-122-1-1-1-1-1-1-1-1-1-1-12-20-1-111-2-200220000-2-200200-2-11-1-1-1-1000011110000-2000000111000
χ19222222-122-1-12222-122-1-12-1-122-1-1-1-1-2-20022-122-122-1-1-1-1-1-1-1-1-1-1-1-22011-1-12200-2-20000-2-200-20021-111110000-1-1-1-10000-2000000111000
χ20222222-122-1-12222-122-1-12-1-122-1-1-1-1-2-200-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-2-201111-2-200-2-200002200-200-21111110000111100002000000-1-1-1000
χ21222222-122-1-12222-1-22-1-12-1-122-1-1-1-1220022-1-2-21-2-21111-1-1-11111-2-20-1-1-1-122002200002200-200-211-1-1110000-1-1110000-2000000-1-11000
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χ23222222-122-1-12222-1-22-1-12-1-122-1-1-1-1-2-20022-1-2-21-2-21111-1-1-111112-2011-1-12200-2-20000-2-200200-2-1111-1-10000-1-1110000200000011-1000
χ24222222-122-1-12222-1-22-1-12-1-122-1-1-1-1-2-200-2-2-1-2-21-2-21111-1-1-111112201111-2-200-2-2000022002002-1-111-1-1000011-1-10000-2000000-1-11000
χ2522222-12-1-122222-122-12-1-12-1-1-122-1-1222200-12-12-1-122-1-1-1-1-1-1-1-1-120222000022-1-1-1-1220000-1-12020-1-1-1-1-1-1-1-100000000020-1-1000000-10
χ2622222-12-1-122222-122-12-1-12-1-1-122-1-122-2-200-12-12-1-122-1-1-1-1-1-1-1-1-120-2220000-2-2-1-111-2-20000-11-2020-1-1-1-11111000000000-201100000010
χ2722222-12-1-122222-122-12-1-12-1-1-122-1-1-2-22200-12-12-1-122-1-1-1-1-1-1-1-1-1-202-2-200002211-1-1-2-200001-120-201111-1-1-1-1000000000-201100000010
χ2822222-12-1-122222-122-12-1-12-1-1-122-1-1-2-2-2-200-12-12-1-122-1-1-1-1-1-1-1-1-1-20-2-2-20000-2-2111122000011-20-201111111100000000020-1-1000000-10
χ2922222-12-1-122222-12-2-12-1-12-1-1-122-1-1222200-1-21-211-2-211-1-1-11111-20-222000022-1-1-1-122000011-20-20-1-111-1-111000000000-20-1-100000010
χ3022222-12-1-122222-12-2-12-1-12-1-1-122-1-122-2-200-1-21-211-2-211-1-1-11111-202220000-2-2-1-111-2-200001-120-20-1-11111-1-10000000002011000000-10
χ3122222-12-1-122222-12-2-12-1-12-1-1-122-1-1-2-22200-1-21-211-2-211-1-1-1111120-2-2-200002211-1-1-2-20000-11-202011-1-1-1-1110000000002011000000-10
χ3222222-12-1-122222-12-2-12-1-12-1-1-122-1-1-2-2-2-200-1-21-211-2-211-1-1-11111202-2-20000-2-21111220000-1-1202011-1-111-1-1000000000-20-1-100000010
χ332222-1222222-1-1-1222-1-12-1-12-1-1-1-122002222-1-122-1-1-1-122-1-1-1-1-1-1-10220022-1-1-1-1002200002202-1-1020000-1-1-1-1-1-1-1-1000000200-1-1000-100
χ342222-1222222-1-1-1222-1-12-1-12-1-1-1-1220022-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-2200-2-211-1-100220000-2-202-110-20000-1-1-1-11111000000-20011000100
χ352222-1222222-1-1-1222-1-12-1-12-1-1-1-12200-2-222-1-122-1-1-1-122-1-1-1-1-1-1-102-20022-1-11100-2-20000-2-20-21-10200001111-1-1-1-1000000-20011000100
χ362222-1222222-1-1-1222-1-12-1-12-1-1-1-12200-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-2-200-2-2111100-2-20000220-2110-2000011111111000000200-1-1000-100
χ372222-1222222-1-1-122-2-1-12-1-12-1-1-1-122002222-11-2-21111-2-2-1-1-111110-2-20022-1-1-1-100220000220-2110-20000-1-111-1-111000000-200-1-1000100
χ382222-1222222-1-1-122-2-1-12-1-12-1-1-1-1220022-2-2-11-2-21111-2-2-1-1-1111102-200-2-211-1-100220000-2-20-21-1020000-1-11111-1-100000020011000-100
χ392222-1222222-1-1-122-2-1-12-1-12-1-1-1-12200-2-222-11-2-21111-2-2-1-1-111110-220022-1-11100-2-20000-2-202-110-2000011-1-1-1-11100000020011000-100
χ402222-1222222-1-1-122-2-1-12-1-12-1-1-1-12200-2-2-2-2-11-2-21111-2-2-1-1-1111102200-2-2111100-2-200002202-1-102000011-1-111-1-1000000-200-1-1000100
χ4122-2-22222-2-2-2-22-2-2202222-2-2-2-22-22-2002i−2i0020000000002-2-200000000000002i−2i002i−2i002-20000000000002i−2i0000002i2i−2i−2i00000002-20000
χ4222-2-22222-2-2-2-22-2-2202222-2-2-2-22-22-2002i−2i0020000000002-2-200000000000002i−2i002i−2i00-220000000000002i−2i000000−2i−2i2i2i0000000-220000
χ4322-2-22222-2-2-2-22-2-2202222-2-2-2-22-22-200−2i2i0020000000002-2-20000000000000−2i2i00−2i2i002-2000000000000−2i2i000000−2i−2i2i2i00000002-20000
χ4422-2-22222-2-2-2-22-2-2202222-2-2-2-22-22-200−2i2i0020000000002-2-20000000000000−2i2i00−2i2i00-22000000000000−2i2i0000002i2i−2i−2i0000000-220000
χ452-22-2222-2-22-2-2-222-20222-22-22-2-2-2-2200002i−2i2000000000-22-20000000002i−2i2i−2i0000002-20000000000000000002i−2i002i−2i2i−2i0002-200000000
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χ944-4-44-244-44-44-222-4-40-2-242242-22-2-4-4000000-200000000022-200000000000000000000000−4i4i0000000000000000000000000002i−2i000000
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
χ9788-8-88-4-4-4444-88-84-40-4-42-44-244-442-200000020000000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-48-8444-44-8-40-42-4-4-24442-2-4400000020000000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-4-44444-444-402222-2-2-2-22-22-2000000-10006-60000-111-3-33300000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-44444-444-402222-2-2-2-22-22-2000000-1000-660000-11133-3-300000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-444-44-8-88-440-4-424-4-2-4444-220000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-48448-844-4-4-802-4-4-2-442-2444-40000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-444-4444-4-440222-22-22-2-2-2-22000000-1000006-6001-11-33-3300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-444-4444-4-440222-22-22-2-2-2-22000000-100000-66001-113-33-300000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4-884-4-444-840-42-44-2-44-4-22440000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-484-4-88-4444-802-4-4-24-4-224-4440000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-44-4-444440222-2-22-22-22-2-2000000-100000006-611-1-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-44-4-444440222-2-22-22-22-2-2000000-10000000-6611-13-3-3300000000000000000000000000000000000000000000000000000000

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