Finite Group Databasebeta

← Group #13172087

Character table — Group #13172087

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666623336666666664444366666666666666662244121212121212121212121212444466666666121212121212121212122444121212121212444461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11-1-1111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-1111111111111111111-11111-1-1111111-1-111-1-11-11-111-1-11111-1-11111-11-1-1-1-111-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111-1-1111111111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1111-11-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-11
χ511111111111111111111111111111-1-11111111111111111111-1111-1-1111111-1-111-1-111-11-11-1-11111-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-11-1-1-1-111-1-1-1-1-1-11111-1-1-11-11-1-111-1-1-1-111-1-1-1-1-11-1-1-1-111-1-11111-11-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111111-1-1
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
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1111111-1-111-1-1-1-11
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111-1-1111111-1-111-1-1-1-1-1-1-1-1-111111-1-111-11-1111-1-111-1-111-11-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-111-1-111-1-111-1-11111-11-11-1-1111-111-1-111-1-11-1-1-1-1-11111-1-1111-1-1
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-11-11-1-111-1111-1-1-1-111111-1-1-1-1-1-1-111-1-1111
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1-11111-1-1-1-111-1-1-1-11-11-111-1-11-1-1-11111-1-1111-1-1-1-1-1-1-1-1-111111
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1-111-1-111-1-11111111-11-111-1-1-11-1-111-1-1111-1-1-1-1-1111111-1-11-1-1
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-111-1-1-11-1111-1-11111-1-1-11-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-1-111-1-1-1-111-1-111111111-11-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11
χ17222222-122-1-122-12222-1-12-1-1-1-122-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-100002222000022-1-1-1-1-1-100-1-1-1-100002002-1-100000000-100
χ18222222-122-1-122-12222-1-12-1-1-1-122-1-122-2-2-122-122-1-1-1-1-1-1-1-1-1-1-12-200-1-111000022-2-200002-2-11-1-11100-1-1110000-200-21100000000100
χ19222222-122-1-122-12222-1-12-1-1-1-122-1-1-2-222-122-122-1-1-1-1-1-1-1-1-1-1-1-220011-1-10000-2-2220000-221-111-1-10011-1-10000-200-21100000000100
χ20222222-122-1-122-12222-1-12-1-1-1-122-1-1-2-2-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-2-20011110000-2-2-2-20000-2-211111100111100002002-1-100000000-100
χ21222222-122-1-122-122-22-1-12-1-1-1-122-1-12222-1-2-21-2-21111-1-1-11111-2-200-1-1-1-1000022220000-2-211111100-1-1-1-10000-2002-1-100000000100
χ22222222-122-1-122-122-22-1-12-1-1-1-122-1-122-2-2-1-2-21-2-21111-1-1-11111-2200-1-111000022-2-20000-221-111-1-100-1-1110000200-21100000000-100
χ23222222-122-1-122-122-22-1-12-1-1-1-122-1-1-2-222-1-2-21-2-21111-1-1-111112-20011-1-10000-2-22200002-2-11-1-1110011-1-10000200-21100000000-100
χ24222222-122-1-122-122-22-1-12-1-1-1-122-1-1-2-2-2-2-1-2-21-2-21111-1-1-11111220011110000-2-2-2-2000022-1-1-1-1-1-10011110000-2002-1-100000000100
χ2522222-122-1222-122-12-12-1-122-1-1-1-12-10022-12-12-1-122-1-1-1-1-1-1-1-1-10222002222-1-100-1-100220-10200-1-1-1200-1-1-1-1-1-100200000-1-1000000-1
χ2622222-122-1222-122-12-12-1-122-1-1-1-12-10022-12-12-1-122-1-1-1-1-1-1-1-1-102-2-20022-2-21100-1-100-2-20-10200-1-11-200-1-1111100-200000110000001
χ2722222-122-1222-122-12-12-1-122-1-1-1-12-100-2-2-12-12-1-122-1-1-1-1-1-1-1-1-10-22200-2-222-1-1001100-2-2010-20011-120011-1-1-1-100-200000110000001
χ2822222-122-1222-122-12-12-1-122-1-1-1-12-100-2-2-12-12-1-122-1-1-1-1-1-1-1-1-10-2-2-200-2-2-2-21100110022010-200111-20011111100200000-1-1000000-1
χ2922222-122-1222-122-1-2-12-1-122-1-1-1-12-10022-1-21-211-2-211-1-1-111110-22-20022221100-1-100-2-2010-20011-1-200-1-1-1-1110020000011000000-1
χ3022222-122-1222-122-1-2-12-1-122-1-1-1-12-10022-1-21-211-2-211-1-1-111110-2-220022-2-2-1-100-1-10022010-200111200-1-111-1-100-200000-1-10000001
χ3122222-122-1222-122-1-2-12-1-122-1-1-1-12-100-2-2-1-21-211-2-211-1-1-11111022-200-2-22211001100220-10200-1-1-1-20011-1-11100-200000-1-10000001
χ3222222-122-1222-122-1-2-12-1-122-1-1-1-12-100-2-2-1-21-211-2-211-1-1-1111102-2200-2-2-2-2-1-1001100-2-20-10200-1-112001111-1-10020000011000000-1
χ332222-122-1222-122-122-1-12-1-1-122-1-1-122200-1-122-1-1-1-122-1-1-1-1-1-1-120222200-1-122-1-1002200-1020-1-1002-1-1-100-1-1-1-1020000-1-10000000-10
χ342222-122-1222-122-122-1-12-1-1-122-1-1-122200-1-122-1-1-1-122-1-1-1-1-1-1-120-2-2220011-2-2-1-100-2-200-1020-1-100-21-1-10011110-2000011000000010
χ352222-122-1222-122-122-1-12-1-1-122-1-1-12-2-200-1-122-1-1-1-122-1-1-1-1-1-1-1-2022-2-200-1-1221100-2-20010-2011002-11100-1-1-1-10-2000011000000010
χ362222-122-1222-122-122-1-12-1-1-122-1-1-12-2-200-1-122-1-1-1-122-1-1-1-1-1-1-1-20-2-2-2-20011-2-21100220010-201100-2111001111020000-1-10000000-10
χ372222-122-1222-122-12-2-1-12-1-1-122-1-1-122200-11-2-21111-2-2-1-1-11111-202-22200-1-1-2-2-1-100220010-20110021-1-100-1-1110-20000-1-1000000010
χ382222-122-1222-122-12-2-1-12-1-1-122-1-1-122200-11-2-21111-2-2-1-1-11111-20-2222001122-1-100-2-20010-201100-2-1-1-10011-1-1020000110000000-10
χ392222-122-1222-122-12-2-1-12-1-1-122-1-1-12-2-200-11-2-21111-2-2-1-1-11111202-2-2-200-1-1-2-21100-2-200-1020-1-100211100-1-111020000110000000-10
χ402222-122-1222-122-12-2-1-12-1-1-122-1-1-12-2-200-11-2-21111-2-2-1-1-1111120-22-2-200112211002200-1020-1-100-2-1110011-1-10-20000-1-1000000010
χ4122-2-22222-22-2-2-2-2-220222-22-2-2-22-2-22002-220000000002-2-200000000002-20000002-22i−2i000000000000002-200000000002i−2i002i−2i00000
χ4222-2-22222-22-2-2-2-2-220222-22-2-2-22-2-22002-220000000002-2-200000000002-20000002-2−2i2i000000000000002-20000000000−2i2i00−2i2i00000
χ4322-2-22222-22-2-2-2-2-220222-22-2-2-22-2-2200-2220000000002-2-20000000000-22000000-222i−2i00000000000000-2200000000002i−2i00−2i2i00000
χ4422-2-22222-22-2-2-2-2-220222-22-2-2-22-2-2200-2220000000002-2-20000000000-22000000-22−2i2i00000000000000-220000000000−2i2i002i−2i00000
χ452-22-2222-22-22-2-2-22-20222-2-2-22-2-222-22-2002000000000-22-2000000002-20000002-200002i−2i00000000002-2000000000000002i−2i002i−2i000
χ462-22-2222-22-22-2-2-22-20222-2-2-22-2-222-22-2002000000000-22-2000000002-20000002-20000−2i2i00000000002-200000000000000−2i2i00−2i2i000
χ472-22-2222-22-22-2-2-22-20222-2-2-22-2-222-2-22002000000000-22-200000000-22000000-2200002i−2i0000000000-22000000000000002i−2i00−2i2i000
χ482-22-2222-22-22-2-2-22-20222-2-2-22-2-222-2-22002000000000-22-200000000-22000000-220000−2i2i0000000000-2200000000000000−2i2i002i−2i000
χ4944444-2-24-2-2-24-2-24-24-2-21-2-2-211-2-2-21004414-2-2-2-2-2-2111111111040000-2-2000000-2-200000-20-20011000011000000000000000000000
χ5044444-2-24-2-2-24-2-24-24-2-21-2-2-211-2-2-2100-4-414-2-2-2-2-2-21111111110-4000022000000220000020200-1-10000-1-1000000000000000000000
χ5144444-2-24-2-2-24-2-24-2-4-2-21-2-2-211-2-2-2100441-4222222-1-1111-1-1-1-10-40000-2-2000000-2-20000020200-1-1000011000000000000000000000
χ5244444-2-24-2-2-24-2-24-2-4-2-21-2-2-211-2-2-2100-4-41-4222222-1-1111-1-1-1-1040000220000002200000-20-200110000-1-1000000000000000000000
χ534444-24-2-24-2-2-24-2-244-21-2-211-2-2-2-21-244001-24-2-2-211-2-211111114000-2-2000000-2-2000000-20-201100001100000000000000000000000
χ544444-24-2-24-2-2-24-2-244-21-2-211-2-2-2-21-2-4-4001-24-2-2-211-2-21111111-400022000000220000002020-1-10000-1-100000000000000000000000
χ554444-24-2-24-2-2-24-2-24-4-21-2-211-2-2-2-21-2440012-4222-1-122111-1-1-1-1-4000-2-2000000-2-20000002020-1-100001100000000000000000000000
χ564444-24-2-24-2-2-24-2-24-4-21-2-211-2-2-2-21-2-4-40012-4222-1-122111-1-1-1-140002200000022000000-20-20110000-1-100000000000000000000000
χ574444-2-24-2-244-2-24-2-241-2-21-2-2-2-211-2-200001-2-2411-2-2-2-2111111100440000-2-2-2-20000000000000000-2-20000111100000000000000000
χ584444-2-24-2-244-2-24-2-241-2-21-2-2-2-211-2-200001-2-2411-2-2-2-2111111100-4-4000022220000000000000000220000-1-1-1-100000000000000000
χ594444-2-24-2-244-2-24-2-2-41-2-21-2-2-2-211-2-20000122-4-1-12222111-1-1-1-1004-40000-2-2220000000000000000-22000011-1-100000000000000000
χ604444-2-24-2-244-2-24-2-2-41-2-21-2-2-2-211-2-20000122-4-1-12222111-1-1-1-100-44000022-2-200000000000000002-20000-1-11100000000000000000
χ6144-4-444-24-4-22-4-42-4404-2-2-4-22224-42-2004-4-2000000000-2220000000000-220000004-40000000000000000-22000000000000000000000
χ6244-4-444-24-4-22-4-42-4404-2-2-4-22224-42-200-44-2000000000-22200000000002-2000000-4400000000000000002-2000000000000000000000
χ6344-4-44-24424-4-42-4-4-20-24-224-422-22-4-2004-4-2000000000-22200000000004-4000000-220000000000000000-22000000000000000000000
χ6444-4-44-24424-4-42-4-4-20-24-224-422-22-4-200-44-2000000000-2220000000000-440000002-200000000000000002-2000000000000000000000
χ6544-4-44-2-242-22-422-4-20-2-212-22-1-1-2221004-4100000003-31-1-133-3-3000000-22000000-2200000000003-300001-1000000000000000000000
χ6644-4-44-2-242-22-422-4-20-2-212-22-1-1-2221004-410000000-331-1-1-3-333000000-22000000-220000000000-3300001-1000000000000000000000
χ6744-4-44-2-242-22-422-4-20-2-212-22-1-1-222100-44100000003-31-1-133-3-30000002-20000002-20000000000-330000-11000000000000000000000
χ6844-4-44-2-242-22-422-4-20-2-212-22-1-1-222100-4410000000-331-1-1-3-3330000002-20000002-200000000003-30000-11000000000000000000000
χ6944-4-4-244-2-44-42-4-4240-2-242-22-4-4-22240000-2000000000-222000000000000000000004i−4i00000000000000000000000000−2i2i000000000
χ7044-4-4-244-2-44-42-4-4240-2-242-22-4-4-22240000-2000000000-22200000000000000000000−4i4i000000000000000000000000002i−2i000000000
χ714-44-444-2-442-2-4-424-404-2-2-422-22-44-224-400-20000000002-2200000000-220000004-40000000000000000-2200000000000000000000000
χ724-44-444-2-442-2-4-424-404-2-2-422-22-44-22-4400-20000000002-22000000002-2000000-4400000000000000002-200000000000000000000000
χ734-44-44-24-4-2-44-42-4420-24-22-4-4-222-2420000-20000000002-2200000000000000000000004i−4i00000000000000000000000000−2i2i0000000
χ744-44-44-24-4-2-44-42-4420-24-22-4-4-222-2420000-20000000002-220000000000000000000000−4i4i000000000000000000000000002i−2i0000000
χ754-44-4-24424-442-4-4-2-40-2-242224-42-2-2-44-400-20000000002-22000000004-4000000-220000000000000000-2200000000000000000000000
χ764-44-4-24424-442-4-4-2-40-2-242224-42-2-2-4-4400-20000000002-2200000000-440000002-200000000000000002-200000000000000000000000
χ774-44-4-24-2242-22-42-2-40-21-22-1-1-222-2124-4001000003-300-11-13-33-30000-22000000-2200000000003-300001-100000000000000000000000
χ784-44-4-24-2242-22-42-2-40-21-22-1-1-222-2124-400100000-3300-11-1-33-330000-22000000-220000000000-3300001-100000000000000000000000
χ794-44-4-24-2242-22-42-2-40-21-22-1-1-222-212-44001000003-300-11-13-33-300002-20000002-20000000000-330000-1100000000000000000000000
χ804-44-4-24-2242-22-42-2-40-21-22-1-1-222-212-4400100000-3300-11-1-33-3300002-20000002-200000000003-30000-1100000000000000000000000
χ814-4-44444-4-4-4-4444-4-404444-44-44-4-4-4-400004000000000-4-4400000000000000000000000000000000000000000000000000000000000
χ824-4-4444-2-4-42244-2-4-404-2-242-22-2-4-4220000-200000000022-20000000000000000000000000000000000000000000000−2i32i300000000000
χ834-4-4444-2-4-42244-2-4-404-2-242-22-2-4-4220000-200000000022-200000000000000000000000000000000000000000000002i3−2i300000000000
χ844-4-444-24-42-4-44-24-420-24-2-2-442-222-420000-200000000022-20000000000000023−2300000000000000000000000023−2300000000000000000
χ854-4-444-24-42-4-44-24-420-24-2-2-442-222-420000-200000000022-200000000000000−2323000000000000000000000000−232300000000000000000
χ864-4-44-2442-4-4-4-2442-40-2-24-22-2-44222-40000-200000000022-200000000000023−2300000000000000000000000023−230000000000000000000
χ874-4-44-2442-4-4-4-2442-40-2-24-22-2-44222-40000-200000000022-2000000000000−2323000000000000000000000000−23230000000000000000000
χ884-4-44-2-2422-4-4-2-242201-2-212-22-2-1-122000010003-30000-1-113-3-330000000023−2323−230000000000000000000000−33−3300000000000000000
χ894-4-44-2-2422-4-4-2-242201-2-212-22-2-1-122000010003-30000-1-113-3-3300000000−2323−232300000000000000000000003−33−300000000000000000
χ904-4-44-2-2422-4-4-2-242201-2-212-22-2-1-12200001000-330000-1-11-333-30000000023−23−23230000000000000000000000−333−300000000000000000
χ914-4-44-2-2422-4-4-2-242201-2-212-22-2-1-12200001000-330000-1-11-333-300000000−232323−2300000000000000000000003−3−3300000000000000000
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
χ9488-8-8-48-4-4-8-444-84480-42-442-244-44-2-4000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-48-448-844-84-402-4-4-2-44442-24-4000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-4-44-444444-40222-22-2-2-22-2-220000-100000006-6-111-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-4-44-444444-40222-22-2-2-22-2-220000-10000000-66-11133-3-30000000000000000000000000000000000000000000000000000000
χ988-88-88-4-4-8-44-4-844840-4-424442-24-4-4-200002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-484-4-8844-8-4402-4-4-244-44-22-4400002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-44-44-4444-440222-2-2-22-2-222-20000-1000006-6001-11-33-330000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-44-44-4444-440222-2-2-22-2-222-20000-100000-66001-113-33-30000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-4-84448-4-4-840-4-42-44-4-22444-200002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-44-844-48-44-80-42-4-4-224-444-2400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44444-4-4-44402222-22-22-2-2-2-20000-10006-6000011-1-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44444-4-4-44402222-22-22-2-2-2-20000-1000-66000011-13-3-330000000000000000000000000000000000000000000000000000000

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