Finite Group Databasebeta

← Group #13171923

Character table — Group #13171923

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666623336666666662244366666666666666664444666612121212121212124444661212121212121212121212121212121244441212121212124444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-1-1-1111-1-1111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-111111111111111111-11111111-1-111-1-111-1-11111-111-11111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-11-1
χ41111111111111111111111111111111-1-111111111111111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11
χ511111111111111111111111111111-1-111111111111111111111-111-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11
χ611111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-1-11-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1111111-11-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-111111-1-1
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1111111-1-11111-1-11111-1-11-1-1-1-1-111-1-111-1-1-11-11-1-1111111-1-1-1-11
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111111-1-111-1-111-11-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-11-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-11111-1-1-1-1-1-1111111111-111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1111-1-1
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-111-1-1111-111-1-1-1-1-1-111-1-1111
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-111-1-11-111-1-1-1-1-1-1-1-111111
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-11111-1-1-11-1-1111111-1-1-1-111-1-11-111-1-11111-1-11-1-1
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111111-1-11111-1-111-1-11111-1-111-1-1-11-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-1-111-1-1-1-1-1-111-1-111-111111-1-111-1-111-11-11-1-11111-1-111-1-11
χ17222222-12-122-1222-122-1-12-1-1-122-1-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-1022222-1-1002200-1-10022-1-10-1202-1-1-10000-1-1-1-120000000-1-100000-10
χ18222222-12-122-1222-122-1-12-1-1-122-1-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-102-2-222-1-100-2-2001100-2-2-1-101-202-1-1-100001111-20000000110000010
χ19222222-12-122-1222-122-1-12-1-1-122-1-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-10-222-2-211002200-1-100-2-2110-120-21110000-1-1-1-1-20000000110000010
χ20222222-12-122-1222-122-1-12-1-1-122-1-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2-21100-2-2001100221101-20-21110000111120000000-1-100000-10
χ21222222-12-122-1222-1-22-1-12-1-1-122-1-1-12200-1-2-21-2-21111-1-1-111110-22-222-1-100-2-200-1-10022-1-10120-21110000-1-111-20000000-1-10000010
χ22222222-12-122-1222-1-22-1-12-1-1-122-1-1-12200-1-2-21-2-21111-1-1-111110-2-2222-1-10022001100-2-2-1-10-1-20-2111000011-1-1200000001100000-10
χ23222222-12-122-1222-1-22-1-12-1-1-122-1-1-1-2-200-1-2-21-2-21111-1-1-11111022-2-2-21100-2-200-1-100-2-21101202-1-1-10000-1-111200000001100000-10
χ24222222-12-122-1222-1-22-1-12-1-1-122-1-1-1-2-200-1-2-21-2-21111-1-1-1111102-22-2-211002200110022110-1-202-1-1-1000011-1-1-20000000-1-10000010
χ2522222-12-122-1222-122-12-1-12-1-1-1-122-12222-12-12-1-122-1-1-1-1-1-1-1-1-12200-1-1222200-1-1000000-1-1-1002-12-1-1-1-1-1-10000022000-1-1000000-100
χ2622222-12-122-1222-122-12-1-12-1-1-1-122-122-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-2200-1-122-2-20011000000-1-1100-2-12-1-1111100000-2-200011000000100
χ2722222-12-122-1222-122-12-1-12-1-1-1-122-1-2-222-12-12-1-122-1-1-1-1-1-1-1-1-12-20011-2-22200-1-100000011-10021-211-1-1-1-100000-2-200011000000100
χ2822222-12-122-1222-122-12-1-12-1-1-1-122-1-2-2-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-2-20011-2-2-2-2001100000011100-21-21111110000022000-1-1000000-100
χ2922222-12-122-1222-12-2-12-1-12-1-1-1-122-12222-1-21-211-2-211-1-1-11111-2-200-1-1222200-1-1000000-1-1100-21-211-1-111000002-2000-1-1000000100
χ3022222-12-122-1222-12-2-12-1-12-1-1-1-122-122-2-2-1-21-211-2-211-1-1-111112-200-1-122-2-20011000000-1-1-10021-21111-1-100000-2200011000000-100
χ3122222-12-122-1222-12-2-12-1-12-1-1-1-122-1-2-222-1-21-211-2-211-1-1-11111-220011-2-22200-1-100000011100-2-12-1-1-1-11100000-2200011000000-100
χ3222222-12-122-1222-12-2-12-1-12-1-1-1-122-1-2-2-2-2-1-21-211-2-211-1-1-11111220011-2-2-2-2001100000011-1002-12-1-111-1-1000002-2000-1-1000000100
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-120022-1-122-1-1-1-122-1-1-1-1-1-1-120220000-1-1-1-1222222000022-1-10000-1-1-1-1-1-1-1-10002-1-10000000000-1
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-120022-1-122-1-1-1-122-1-1-1-1-1-1-120-2-20000-1-11122-2-2-2-200002-21-10000-1-1-1-11111000-21100000000001
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-1200-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-2022000011-1-1-2-222-2-20000-22-1100001111-1-1-1-1000-21100000000001
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-1200-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-20-2-200001111-2-2-2-2220000-2-2110000111111110002-1-10000000000-1
χ372222-12222-122-1-122-2-1-12-1-122-1-1-1-120022-11-2-21111-2-2-1-1-11111-202-20000-1-1112222-2-20000-2-2-110000-1-111-1-1110002110000000000-1
χ382222-12222-122-1-122-2-1-12-1-122-1-1-1-120022-11-2-21111-2-2-1-1-11111-20-220000-1-1-1-122-2-2220000-22110000-1-11111-1-1000-2-1-100000000001
χ392222-12222-122-1-122-2-1-12-1-122-1-1-1-1200-2-2-11-2-21111-2-2-1-1-11111202-200001111-2-2222200002-2-1-1000011-1-1-1-111000-2-1-100000000001
χ402222-12222-122-1-122-2-1-12-1-122-1-1-1-1200-2-2-11-2-21111-2-2-1-1-1111120-22000011-1-1-2-2-2-2-2-20000221-1000011-1-111-1-10002110000000000-1
χ412-22-2222-2-22-2-2-2-2220222-2-2-2-22-22-222-20020000000002-2-2000000002-22-2000000002i−2i002-2000000000000000000002i−2i0000002i−2i000
χ422-22-2222-2-22-2-2-2-2220222-2-2-2-22-22-222-20020000000002-2-2000000002-22-200000000−2i2i002-200000000000000000000−2i2i000000−2i2i000
χ432-22-2222-2-22-2-2-2-2220222-2-2-2-22-22-22-220020000000002-2-200000000-22-22000000002i−2i00-22000000000000000000002i−2i000000−2i2i000
χ442-22-2222-2-22-2-2-2-2220222-2-2-2-22-22-22-220020000000002-2-200000000-22-2200000000−2i2i00-2200000000000000000000−2i2i0000002i−2i000
χ452-2-22222-22-22-22-2-2-202222-22-2-2-2-22-2002i−2i2000000000-22-20000000000002i−2i002i−2i00002i−2i00000000002i−2i000000000000002i−2i2-200000
χ462-2-22222-22-22-22-2-2-202222-22-2-2-2-22-2002i−2i2000000000-22-20000000000002i−2i002i−2i0000−2i2i00000000002i−2i00000000000000−2i2i-2200000
χ472-2-22222-22-22-22-2-2-202222-22-2-2-2-22-200−2i2i2000000000-22-2000000000000−2i2i00−2i2i00002i−2i0000000000−2i2i000000000000002i−2i-2200000
χ482-2-22222-22-22-22-2-2-202222-22-2-2-2-22-200−2i2i2000000000-22-2000000000000−2i2i00−2i2i0000−2i2i0000000000−2i2i00000000000000−2i2i2-200000
χ4944444-2-2-2-24-2-244-2-24-2-21-2-211-2-2-2-21440014-2-2-2-2-2-21111111110400-2-2-2-2000000000000110000-2-2110000000000000000000000000
χ5044444-2-2-2-24-2-244-2-24-2-21-2-211-2-2-2-21-4-40014-2-2-2-2-2-21111111110-4002222000000000000-1-1000022-1-10000000000000000000000000
χ5144444-2-2-2-24-2-244-2-2-4-2-21-2-211-2-2-2-2144001-4222222-1-1111-1-1-1-10-400-2-2-2-200000000000011000022-1-10000000000000000000000000
χ5244444-2-2-2-24-2-244-2-2-4-2-21-2-211-2-2-2-21-4-4001-4222222-1-1111-1-1-1-104002222000000000000-1-10000-2-2110000000000000000000000000
χ534444-24-24-2-24-2-2-24-24-21-2-21-2-2-2-211-200001-24-2-2-211-2-211111110044000000-2-200-2-20000000-2-2000000000111100000000000000000
χ544444-24-24-2-24-2-2-24-24-21-2-21-2-2-2-211-200001-24-2-2-211-2-2111111100-4-4000000220022000000022000000000-1-1-1-100000000000000000
χ554444-24-24-2-24-2-2-24-2-4-21-2-21-2-2-2-211-2000012-4222-1-122111-1-1-1-1004-40000002200-2-200000002-200000000011-1-100000000000000000
χ564444-24-24-2-24-2-2-24-2-4-21-2-21-2-2-2-211-2000012-4222-1-122111-1-1-1-100-44000000-2-200220000000-22000000000-1-11100000000000000000
χ574444-2-24-24-2-24-2-2-2441-2-21-2-2-211-2-2-200441-2-2411-2-2-2-2111111140000000-2-200-2-200000000-200-200001111000000000000000000000
χ584444-2-24-24-2-24-2-2-2441-2-21-2-2-211-2-2-200-4-41-2-2411-2-2-2-21111111-400000002200220000000020020000-1-1-1-1000000000000000000000
χ594444-2-24-24-2-24-2-2-24-41-2-21-2-2-211-2-2-20044122-4-1-12222111-1-1-1-1-40000000-2-200-2-2000000002002000011-1-1000000000000000000000
χ604444-2-24-24-2-24-2-2-24-41-2-21-2-2-211-2-2-200-4-4122-4-1-12222111-1-1-1-14000000022002200000000-200-20000-1-111000000000000000000000
χ6144-4-44444-4-4-44-44-4-40444-44-44-44-4-4-400004000000000-4-4400000000000000000000000000000000000000000000000000000000000
χ6244-4-444-242-4-4-2-44-4204-2-2-4-22-2-442220000-200000000022-200000000000000000023−2300000000000000000023−230000000000000000000
χ6344-4-444-242-4-4-2-44-4204-2-2-4-22-2-442220000-200000000022-2000000000000000000−2323000000000000000000−23230000000000000000000
χ6444-4-44-24-2-4-424-442-40-24-2242-22-2-4-420000-200000000022-200000000000000000000000000000000000000000000000023−23000000000
χ6544-4-44-24-2-4-424-442-40-24-2242-22-2-4-420000-200000000022-2000000000000000000000000000000000000000000000000−2323000000000
χ6644-4-4-2444-42-442-2-4-40-2-242-2-442-222-40000-200000000022-20000000000000023−2300000000000000000000000023−2300000000000000000
χ6744-4-4-2444-42-442-2-4-40-2-242-2-442-222-40000-200000000022-200000000000000−2323000000000000000000000000−232300000000000000000
χ6844-4-4-24-2422-4-22-2-420-21-2212-22-2-1-1200001000003-300-1-1133-3-3000000000023−230023−23000000000000000000−33−3300000000000000000
χ6944-4-4-24-2422-4-22-2-420-21-2212-22-2-1-1200001000003-300-1-1133-3-30000000000−232300−23230000000000000000003−33−300000000000000000
χ7044-4-4-24-2422-4-22-2-420-21-2212-22-2-1-120000100000-3300-1-11-3-333000000000023−2300−23230000000000000000003−3−3300000000000000000
χ7144-4-4-24-2422-4-22-2-420-21-2212-22-2-1-120000100000-3300-1-11-3-3330000000000−23230023−23000000000000000000−333−300000000000000000
χ724-44-444-2-424-42-4-44-204-2-2-42224-4-22-24-400-2000000000-222000000004-4-22000000000000-22000000000000000000000000000000000
χ734-44-444-2-424-42-4-44-204-2-2-42224-4-22-2-4400-2000000000-22200000000-442-20000000000002-2000000000000000000000000000000000
χ744-44-44-242-442-4-4-4-240-24-22-422-224-4-24-400-2000000000-22200000000-224-4000000000000-22000000000000000000000000000000000
χ754-44-44-242-442-4-4-4-240-24-22-422-224-4-2-4400-2000000000-222000000002-2-440000000000002-2000000000000000000000000000000000
χ764-44-44-2-222422-4-4-2-20-2-2122-1-1-22-2214-400100000003-31-1-13-33-30000-22-220000000000001-10000003-30000000000000000000000000
χ774-44-44-2-222422-4-4-2-20-2-2122-1-1-22-2214-40010000000-331-1-1-33-330000-22-220000000000001-1000000-330000000000000000000000000
χ784-44-44-2-222422-4-4-2-20-2-2122-1-1-22-221-4400100000003-31-1-13-33-300002-22-2000000000000-11000000-330000000000000000000000000
χ794-44-44-2-222422-4-4-2-20-2-2122-1-1-22-221-440010000000-331-1-1-33-3300002-22-2000000000000-110000003-30000000000000000000000000
χ804-44-4-244-4-4-2-4-422440-2-2422-4-4-22-2240000-2000000000-222000000000000000000004i−4i000000000000000000000000−2i2i00000000000
χ814-44-4-244-4-4-2-4-422440-2-2422-4-4-22-2240000-2000000000-22200000000000000000000−4i4i0000000000000000000000002i−2i00000000000
χ824-4-4444-2-4-2-4424-4-4204-2-242-22-4-42-220000-20000000002-2200000000000000000000004i−4i00000000000000000000000000−2i2i0000000
χ834-4-4444-2-4-2-4424-4-4204-2-242-22-4-42-220000-20000000002-220000000000000000000000−4i4i000000000000000000000000002i−2i0000000
χ844-4-444-2424-4-2-44-42-40-24-2-2-4-2222-442004i−4i-20000000002-220000000000004i−4i00−2i2i0000000000000000−2i2i00000000000000000000000
χ854-4-444-2424-4-2-44-42-40-24-2-2-4-2222-44200−4i4i-20000000002-22000000000000−4i4i002i−2i00000000000000002i−2i00000000000000000000000
χ864-4-44-244-4424-4-22-4-40-2-24-224-4222-2-4004i−4i-20000000002-22000000000000−2i2i004i−4i0000000000000000−2i2i00000000000000000000000
χ874-4-44-244-4424-4-22-4-40-2-24-224-4222-2-400−4i4i-20000000002-220000000000002i−2i00−4i4i00000000000000002i−2i00000000000000000000000
χ884-4-44-2-24242-2-4-222-401-2-212-22-1-12-22004i−4i10003-30000-11-13-3-3300000000−2i2i00−2i2i0000000000000000i−i3i−3i000000000000000000000
χ894-4-44-2-24242-2-4-222-401-2-212-22-1-12-22004i−4i1000-330000-11-1-333-300000000−2i2i00−2i2i0000000000000000i−i−3i3i000000000000000000000
χ904-4-44-2-24242-2-4-222-401-2-212-22-1-12-2200−4i4i10003-30000-11-13-3-33000000002i−2i002i−2i0000000000000000−ii−3i3i000000000000000000000
χ914-4-44-2-24242-2-4-222-401-2-212-22-1-12-2200−4i4i1000-330000-11-1-333-3000000002i−2i002i−2i0000000000000000−ii3i−3i000000000000000000000
χ928888-4-4-4-4-4-4-4-4-4-4-4-482222222222220000-1-4-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000
χ938888-4-4-4-4-4-4-4-4-4-4-4-4-82222222222220000-1444-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9488-8-88-4-4-44-84-4-88440-4-424-4-224-444-200002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-48-4-84484-44-802-4-4-2-44-4-2244400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-4-4444-44-4440222-22-22-22-2-2-20000-1000006-60011-1-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-4-4444-44-4440222-22-22-22-2-2-20000-100000-660011-133-3-30000000000000000000000000000000000000000000000000000000
χ988-88-8-48-4-84-4-84448-40-42-44-244-442-2-4000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-484-8-44-844-4802-4-4-24442-2-44-4000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-444-44444-4-40222-2-2-2-22-22-220000-100000006-6-111-33-330000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-444-44444-4-40222-2-2-2-22-22-220000-10000000-66-1113-33-30000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-44-4-8-448-8440-4-42-442-2444-4-200002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4-8-4484-44-840-42-4-4-2-4444-22400002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-44-44-444402222-22-2-2-2-22-20000-10006-600001-11-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-44-44-444402222-22-2-2-2-22-20000-1000-6600001-113-3-330000000000000000000000000000000000000000000000000000000

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