Finite Group Databasebeta

← Group #13172912

Character table — Group #13172912

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order1222333666666666233366666666644444436666666666666666224121212121212121212121212224444666666661212121212121212121244442446612121212612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111111111111111-111111-1-11111-1-111-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-11-111-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-1111111111111111111111-111-1-11111-1-111-1-111-1-111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-111-1-11-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-111-111-1-1-1-111-1-1-1-1-1-11111-1-11-1-1-1-111-1-111
χ511111111111111111111111111111-1-1111111111111111111111-111-1-11111-1-11111-1-1-1-1111-1-11-1-11111-1-1111111-1-1-1-1-1-11-1-1-1-111-1-11-1
χ611111111111111111111111111111-1-111-1-111111111111111111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-1-1-111-1-11-1-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-11-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1111111-11-111-1-1-1-1-11-11
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
χ91111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1111111-1-1-1-1
χ101111111111111111-11111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11111-1-11111-1-111-1-1-1-11-1-11-1-111-1-11111-1-1-1-1-1-1-1-11-1111-1-1-1-11-111
χ111111111111111111-111111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111-1-1-1111
χ121111111111111111-111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-111-1-1111111-1-1-1-1-11111-1-1
χ131111111111111111-1111111111111-1-111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-111-111-111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-11111-11
χ141111111111111111-1111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-11111-111-1-111-1-1-111-1
χ151111111111111111-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1-1-111-1-1-1-11111-1-1-1-1-111-111-1-111-1-1-1-1111111111-1111-1-1-1-11-11-1
χ161111111111111111-1111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11
χ17222222-122-1-122-12222-1-12-1-1-1-122-1-1220022-122-122-1-1-1-1-1-1-1-1-1-1-1220-1-100-1-122002200220022-1-1-1-1-1-100-1-10000-1-1000020000-1-100-1000
χ18222222-122-1-122-12222-1-12-1-1-1-122-1-12200-2-2-122-122-1-1-1-1-1-1-1-1-1-1-12-20-1-100112200-2-200-2-200-22-11-1-11100-1-10000110000-2000011001000
χ19222222-122-1-122-12222-1-12-1-1-1-122-1-1-2-20022-122-122-1-1-1-1-1-1-1-1-1-1-1-2201100-1-1-2-2002200-2-2002-21-111-1-100110000-1-10000-2000011001000
χ20222222-122-1-122-12222-1-12-1-1-1-122-1-1-2-200-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-2-20110011-2-200-2-2002200-2-21111110011000011000020000-1-100-1000
χ21222222-122-1-122-122-22-1-12-1-1-1-122-1-1220022-1-2-21-2-21111-1-1-11111-2-20-1-100-1-1220022002200-2-211111100-1-10000-1-10000-20000-1-1001000
χ22222222-122-1-122-122-22-1-12-1-1-1-122-1-12200-2-2-1-2-21-2-21111-1-1-11111-220-1-100112200-2-200-2-2002-21-111-1-100-1-10000110000200001100-1000
χ23222222-122-1-122-122-22-1-12-1-1-1-122-1-1-2-20022-1-2-21-2-21111-1-1-111112-201100-1-1-2-2002200-2-200-22-11-1-11100110000-1-10000200001100-1000
χ24222222-122-1-122-122-22-1-12-1-1-1-122-1-1-2-200-2-2-1-2-21-2-21111-1-1-11111220110011-2-200-2-200220022-1-1-1-1-1-100110000110000-20000-1-1001000
χ2522222-12-1222-122-122-12-1-122-1-1-1-12-1222200-12-12-1-122-1-1-1-1-1-1-1-1-1202222200-1-1-1-1002200000-120-1-100-12-1-1-1-1-1-1000000020-1-100000-100
χ2622222-12-1222-122-122-12-1-122-1-1-1-12-122-2-200-12-12-1-122-1-1-1-1-1-1-1-1-120-222-2-200-1-11100-2-200000-120-1-1001-2-1-111110000000-201100000100
χ2722222-12-1222-122-122-12-1-122-1-1-1-12-1-2-22200-12-12-1-122-1-1-1-1-1-1-1-1-1-202-2-2220011-1-100-2-2000001-201100-1211-1-1-1-10000000-201100000100
χ2822222-12-1222-122-122-12-1-122-1-1-1-12-1-2-2-2-200-12-12-1-122-1-1-1-1-1-1-1-1-1-20-2-2-2-2-20011110022000001-2011001-2111111000000020-1-100000-100
χ2922222-12-1222-122-12-2-12-1-122-1-1-1-12-1222200-1-21-211-2-211-1-1-11111-20-2222200-1-1-1-10022000001-2011001-2-1-1-1-1110000000-20-1-100000100
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χ3222222-12-1222-122-12-2-12-1-122-1-1-1-12-1-2-2-2-200-1-21-211-2-211-1-1-11111202-2-2-2-2001111002200000-120-1-100-121111-1-10000000-20-1-100000100
χ332222-1222-1222-122-12-1-12-1-1-122-1-1-12002222-1-122-1-1-1-122-1-1-1-1-1-1-102200-1-1220022-1-1000022-100200-1-12-100-1-1-1-1-1-100000020000-1-100-10
χ342222-1222-1222-122-12-1-12-1-1-122-1-1-120022-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-2200-1-1-2-20022110000-2-2100-200112-100-1-1-1-111000000-20000110010
χ352222-1222-1222-122-12-1-12-1-1-122-1-1-1200-2-222-1-122-1-1-1-122-1-1-1-1-1-1-102-200112200-2-2-1-10000-2-2-100200-1-1-21001111-1-1000000-20000110010
χ362222-1222-1222-122-12-1-12-1-1-122-1-1-1200-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-2-20011-2-200-2-211000022100-20011-210011111100000020000-1-100-10
χ372222-1222-1222-122-1-2-1-12-1-1-122-1-1-12002222-11-2-21111-2-2-1-1-111110-2-200-1-1220022-1-1000022100-20011-2100-1-111-1-1000000-20000-1-10010
χ382222-1222-1222-122-1-2-1-12-1-1-122-1-1-120022-2-2-11-2-21111-2-2-1-1-1111102-200-1-1-2-20022110000-2-2-100200-1-1-2100-1-11111000000200001100-10
χ392222-1222-1222-122-1-2-1-12-1-1-122-1-1-1200-2-222-11-2-21111-2-2-1-1-111110-2200112200-2-2-1-10000-2-2100-200112-10011-1-1-1-1000000200001100-10
χ402222-1222-1222-122-1-2-1-12-1-1-122-1-1-1200-2-2-2-2-11-2-21111-2-2-1-1-111110220011-2-200-2-211000022-100200-1-12-10011-1-111000000-20000-1-10010
χ4122-2-2222-222-22-2-2-2-20222-22-2-2-22-2-222-2000020000000002-2-200000002-200002-2000000002i−2i00000000002-20000002i2i−2i−2i00000002i−2i0000
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χ10088-8-8-4-4-44-4-44-444440222-22-2-2-22-2-22000000-10000000-66-11133-3-300000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-4-4-84448-44-80-4-42-44-42-2444-20000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-48444-8-4-4-840-42-4-4-22-4444-240000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-44444-4-44402222-222-2-2-2-2-2000000-10006-600001-11-33-3300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-44444-4-44402222-222-2-2-2-2-2000000-1000-6600001-113-33-300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-44-84-44-84-480-4-42444-224-4-4-20000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4844-8844-8-4-402-4-4-2444-4-22-440000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4444-4444-4-40222-2-2-2-22-222-2000000-1000006-60011-1-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4444-4444-4-40222-2-2-2-22-222-2000000-100000-660011-13-3-3300000000000000000000000000000000000000000000000000000000

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