Finite Group Databasebeta

← Group #13172072

Character table — Group #13172072

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666623336666666662244366666666666666662244666666121212121212444466666666612121212121212121244441212121212124444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-11111-1-11111-1-1-1-1-1-111-11111-1-111-11111-1-111-1-111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-111111111111111111-1111111111-1-1-1-111-1-111-1-1111-1-11111111-1-111-1-11-1-1-111-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111-1-111111111111111111-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-111-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ511111111111111111111111111111-1-1111111111111111111111-11-1-1-1-11111111111-1-1111-1-11111-1-11-1-11111-1-1-11-1-1-1-111-1-1-1-1-1-11
χ611111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-11111-11-1
χ711111111111111111111111111111-1-1-1-111111111111111111-11-11-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-111-1-11-1-1-1-11111-1-111-1-1-1-111111-1-1
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
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-11111111111-1-111-1-1-1-1111-1-111-1-1-1-1-111-1-11-11-111-1-11111-1-1-11-1
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111-1-1111111-1-111-1-1-111-1-1-1-1-1-11-1-111111-1-111111-1-1-1-111-1-11
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-111111-1-1-1-1-1-111111111-11111-1-1-1-11-1-1-1-111-11-1-1-1-1111111-1-11-1-1
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1111111-1-11111-1-11-1-1-1-11111-11111-1-1-11-1-1-1-11111-1-1111-1-1
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1-1-1-111-1-1111
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111-111-1-1-1-11-1-111111-1-111-1-1-1-11
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-111111-1-1111-11-111-1-111-1-111-11-1
χ17222222-122-12222-1-122-1-122-1-1-1-12-1-10022-122-122-1-1-1-1-1-1-1-1-1-1-122020000-1-122-1-12222002-1200-1-1-1-100-100-1-1-1-100020000-1-1000000-1
χ18222222-122-12222-1-122-1-122-1-1-1-12-1-10022-122-122-1-1-1-1-1-1-1-1-1-1-12-20-200001122-1-1-2-2-2-2002-1-200-1-11100100-1-111000-20000110000001
χ19222222-122-12222-1-122-1-122-1-1-1-12-1-100-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-22020000-1-1-2-21122-2-200-2120011-1-100-10011-1-1000-20000110000001
χ20222222-122-12222-1-122-1-122-1-1-1-12-1-100-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-2-20-2000011-2-211-2-22200-21-200111100100111100020000-1-1000000-1
χ21222222-122-12222-1-1-22-1-122-1-1-1-12-1-10022-1-2-21-2-21111-1-1-11111-220-20000-1-122-1-1-2-22200-2120011-1-100100-1-111000-20000-1-10000001
χ22222222-122-12222-1-1-22-1-122-1-1-1-12-1-10022-1-2-21-2-21111-1-1-11111-2-20200001122-1-122-2-200-21-200111100-100-1-1-1-10002000011000000-1
χ23222222-122-12222-1-1-22-1-122-1-1-1-12-1-100-2-2-1-2-21-2-21111-1-1-11111220-20000-1-1-2-211-2-2-2-2002-1200-1-1-1-10010011110002000011000000-1
χ24222222-122-12222-1-1-22-1-122-1-1-1-12-1-100-2-2-1-2-21-2-21111-1-1-111112-202000011-2-2112222002-1-200-1-11100-10011-1-1000-20000-1-10000001
χ2522222-122-1222-1-1222-12-1-1-122-1-1-12-12200-12-12-1-122-1-1-1-1-1-1-1-1-1022222-1-1220000-1-1002200-1-1-100-1-12-12-1-100-1-1002000-1-10000000-10
χ2622222-122-1222-1-1222-12-1-1-122-1-1-12-12200-12-12-1-122-1-1-1-1-1-1-1-1-10-22-222-1-1-2-200001100-2-2001-1-100112-1-2-1-1001100-200011000000010
χ2722222-122-1222-1-1222-12-1-1-122-1-1-12-1-2-200-12-12-1-122-1-1-1-1-1-1-1-1-102-22-2-211220000-1-100-2-200-11100-1-1-2121100-1-100-200011000000010
χ2822222-122-1222-1-1222-12-1-1-122-1-1-12-1-2-200-12-12-1-122-1-1-1-1-1-1-1-1-10-2-2-2-2-211-2-20000110022001110011-21-2110011002000-1-10000000-10
χ2922222-122-1222-1-122-2-12-1-1-122-1-1-12-12200-1-21-211-2-211-1-1-1111102-2-222-1-12200001100-2-200-1-1-100-1-1-21-2110011002000110000000-10
χ3022222-122-1222-1-122-2-12-1-1-122-1-1-12-12200-1-21-211-2-211-1-1-111110-2-2222-1-1-2-20000-1-10022001-1-10011-2121100-1-100-2000-1-1000000010
χ3122222-122-1222-1-122-2-12-1-1-122-1-1-12-1-2-200-1-21-211-2-211-1-1-11111022-2-2-21122000011002200-11100-1-12-1-2-1-1001100-2000-1-1000000010
χ3222222-122-1222-1-122-2-12-1-1-122-1-1-12-1-2-200-1-21-211-2-211-1-1-111110-222-2-211-2-20000-1-100-2-20011100112-12-1-100-1-1002000110000000-10
χ332222-122-122-1-122222-1-12-1-1-1-122-1-122222-1-122-1-1-1-122-1-1-1-1-1-1-12020-1-12200-1-122000000-120-1-1-1-100-120-1-1-1-1002200-1-100000000-100
χ342222-122-122-1-122222-1-12-1-1-1-122-1-1222-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-2020-1-1220011-2-20000001-20-1-11100-120-1-11100-2-2001100000000100
χ352222-122-122-1-122222-1-12-1-1-1-122-1-12-2-222-1-122-1-1-1-122-1-1-1-1-1-1-120-2011-2-200-1-122000000-12011-1-1001-2011-1-100-2-2001100000000100
χ362222-122-122-1-122222-1-12-1-1-1-122-1-12-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-20-2011-2-20011-2-20000001-201111001-201111002200-1-100000000-100
χ372222-122-122-1-12222-2-1-12-1-1-1-122-1-122222-11-2-21111-2-2-1-1-11111-20-20-1-12200-1-1220000001-20-1-111001-2011-1-1002-200-1-100000000100
χ382222-122-122-1-12222-2-1-12-1-1-1-122-1-1222-2-2-11-2-21111-2-2-1-1-1111120-20-1-1220011-2-2000000-120-1-1-1-1001-20111100-22001100000000-100
χ392222-122-122-1-12222-2-1-12-1-1-1-122-1-12-2-222-11-2-21111-2-2-1-1-11111-202011-2-200-1-1220000001-20111100-120-1-1-1-100-22001100000000-100
χ402222-122-122-1-12222-2-1-12-1-1-1-122-1-12-2-2-2-2-11-2-21111-2-2-1-1-11111202011-2-20011-2-2000000-12011-1-100-120-1-111002-200-1-100000000100
χ4122-2-2222-22-22-2-2-22-202222-2-2-22-2-22-2002-220000000002-2-2000000000000002-22-200002i−2i000000000000002-2000000002i−2i00002i−2i000
χ4222-2-2222-22-22-2-2-22-202222-2-2-22-2-22-2002-220000000002-2-2000000000000002-22-20000−2i2i000000000000002-200000000−2i2i0000−2i2i000
χ4322-2-2222-22-22-2-2-22-202222-2-2-22-2-22-200-2220000000002-2-200000000000000-22-2200002i−2i00000000000000-22000000002i−2i0000−2i2i000
χ4422-2-2222-22-22-2-2-22-202222-2-2-22-2-22-200-2220000000002-2-200000000000000-22-220000−2i2i00000000000000-2200000000−2i2i00002i−2i000
χ452-22-2222-2-22-222-2-2-20222-2-22-2-222-2-22-2002000000000-22-2000000002-22-2000000002i−2i000002-20000000000000000000002i−2i2i−2i00000
χ462-22-2222-2-22-222-2-2-20222-2-22-2-222-2-22-2002000000000-22-2000000002-22-200000000−2i2i000002-2000000000000000000000−2i2i−2i2i00000
χ472-22-2222-2-22-222-2-2-20222-2-22-2-222-2-2-22002000000000-22-200000000-22-22000000002i−2i00000-220000000000000000000002i−2i−2i2i00000
χ482-22-2222-2-22-222-2-2-20222-2-22-2-222-2-2-22002000000000-22-200000000-22-2200000000−2i2i00000-22000000000000000000000−2i2i2i−2i00000
χ4944444-2-24-2-244-2-2-2-24-2-21-2-2-2-211-2-21000014-2-2-2-2-2-211111111104040000-2-20000-2-2000000-200001100-200001100000000000000000
χ5044444-2-24-2-244-2-2-2-24-2-21-2-2-2-211-2-21000014-2-2-2-2-2-21111111110-40-400002200002200000020000-1-10020000-1-100000000000000000
χ5144444-2-24-2-244-2-2-2-2-4-2-21-2-2-2-211-2-2100001-4222222-1-1111-1-1-1-1040-40000-2-2000022000000-20000110020000-1-100000000000000000
χ5244444-2-24-2-244-2-2-2-2-4-2-21-2-2-2-211-2-2100001-4222222-1-1111-1-1-1-10-4040000220000-2-200000020000-1-100-200001100000000000000000
χ534444-24-2-24-2-2-244-2-24-21-2-2-211-2-2-21-200441-24-2-2-211-2-211111114000000000-2-2-2-2000000-2-2000110000000110000000000000000000
χ544444-24-2-24-2-2-244-2-24-21-2-2-211-2-2-21-200-4-41-24-2-2-211-2-21111111-4000000000222200000022000-1-10000000-1-10000000000000000000
χ554444-24-2-24-2-2-244-2-2-4-21-2-2-211-2-2-21-2004412-4222-1-122111-1-1-1-1-4000000000-2-2-2-200000022000-1-10000000110000000000000000000
χ564444-24-2-24-2-2-244-2-2-4-21-2-2-211-2-2-21-200-4-412-4222-1-122111-1-1-1-140000000002222000000-2-2000110000000-1-10000000000000000000
χ574444-2-24-2-24-2-2-2-24441-2-211-2-2-2-21-2-244001-2-2411-2-2-2-211111110040-2-2-2-2000000000000000110000-2-2011000000000000000000000
χ584444-2-24-2-24-2-2-2-24441-2-211-2-2-2-21-2-2-4-4001-2-2411-2-2-2-2111111100-402222000000000000000-1-10000220-1-1000000000000000000000
χ594444-2-24-2-24-2-2-2-244-41-2-211-2-2-2-21-2-24400122-4-1-12222111-1-1-1-100-40-2-2-2-2000000000000000110000220-1-1000000000000000000000
χ604444-2-24-2-24-2-2-2-244-41-2-211-2-2-2-21-2-2-4-400122-4-1-12222111-1-1-1-100402222000000000000000-1-10000-2-2011000000000000000000000
χ6144-4-444-2-4424-4-4-4-2204-2-24-422-22-4-22004-4-2000000000-222000000000000004-4-2200000000000000000000-220000000000000000000
χ6244-4-444-2-4424-4-4-4-2204-2-24-422-22-4-2200-44-2000000000-22200000000000000-442-2000000000000000000002-20000000000000000000
χ6344-4-44-24-4-2-44-4224-40-24-2-22-4-4-222420000-2000000000-22200000000000000000000004i−4i000000000000000000000000−2i2i000000000
χ6444-4-44-24-4-2-44-4224-40-24-2-22-4-4-222420000-2000000000-2220000000000000000000000−4i4i0000000000000000000000002i−2i000000000
χ6544-4-4-24424-4-22-4-44-40-2-24-22224-42-2-4004-4-2000000000-22200000000000000-224-400000000000000000000-220000000000000000000
χ6644-4-4-24424-4-22-4-44-40-2-24-22224-42-2-400-44-2000000000-222000000000000002-2-44000000000000000000002-20000000000000000000
χ6744-4-4-24-2242-22-4-4-220-21-2-22-1-1-22212004-41000003-3001-1-133-3-30000000000-22-22000000000003-300000001-10000000000000000000
χ6844-4-4-24-2242-22-4-4-220-21-2-22-1-1-22212004-4100000-33001-1-1-3-3330000000000-22-2200000000000-3300000001-10000000000000000000
χ6944-4-4-24-2242-22-4-4-220-21-2-22-1-1-2221200-441000003-3001-1-133-3-300000000002-22-200000000000-330000000-110000000000000000000
χ7044-4-4-24-2242-22-4-4-220-21-2-22-1-1-2221200-44100000-33001-1-1-3-33300000000002-22-2000000000003-30000000-110000000000000000000
χ714-44-444-2-4-4-2-444-42204-2-2-4-4-222-24220000-20000000002-22000000000000000000004i−4i0000000000000000000000000000−2i2i0000000
χ724-44-444-2-4-4-2-444-42204-2-2-4-4-222-24220000-20000000002-2200000000000000000000−4i4i00000000000000000000000000002i−2i0000000
χ734-44-44-24-424-44-22-4-40-24-2224-42-2-2-424-400-20000000002-22000000004-4-22000000000000000-22000000000000000000000000000000
χ744-44-44-24-424-44-22-4-40-24-2224-42-2-2-42-4400-20000000002-2200000000-442-20000000000000002-2000000000000000000000000000000
χ754-44-4-2442-442-24-4-4-40-2-2422-22-44-22-44-400-20000000002-2200000000-224-4000000000000000-22000000000000000000000000000000
χ764-44-4-2442-442-24-4-4-40-2-2422-22-44-22-4-4400-20000000002-22000000002-2-440000000000000002-2000000000000000000000000000000
χ774-44-4-2-242242-2-22-4-401-2-2-1-1-222-21224-40010003-30000-11-13-33-30000-22-220000000000000001-100000003-3000000000000000000000
χ784-44-4-2-242242-2-22-4-401-2-2-1-1-222-21224-4001000-330000-11-1-33-330000-22-220000000000000001-10000000-33000000000000000000000
χ794-44-4-2-242242-2-22-4-401-2-2-1-1-222-2122-440010003-30000-11-13-33-300002-22-2000000000000000-110000000-33000000000000000000000
χ804-44-4-2-242242-2-22-4-401-2-2-1-1-222-2122-44001000-330000-11-1-33-3300002-22-2000000000000000-1100000003-3000000000000000000000
χ814-4-444444-4-4-4-4-44-440444-44-44-4-4-4-4400004000000000-4-4400000000000000000000000000000000000000000000000000000000000
χ824-4-4444-24-42-4-4-442-204-2-2-442-222-42-20000-200000000022-2000000000000−2i32i300000000000000000−2i32i300000000000000000000000000
χ834-4-4444-24-42-4-4-442-204-2-2-442-222-42-20000-200000000022-20000000000002i3−2i3000000000000000002i3−2i300000000000000000000000000
χ844-4-444-2442-4-4-42-2-440-24-22-2-44222-4-20000-200000000022-2000000000000000000−2i32i300000000000000000000−2i32i300000000000000000
χ854-4-444-2442-4-4-42-2-440-24-22-2-44222-4-20000-200000000022-20000000000000000002i3−2i3000000000000000000002i3−2i300000000000000000
χ864-4-444-2-2422-4-42-22-20-2-212-22-2-1-12210000100000003-3-1-113-3-3300000000−2i32i30000−2i32i300000000000i3−i30000000i3−i300000000000000000
χ874-4-444-2-2422-4-42-22-20-2-212-22-2-1-12210000100000003-3-1-113-3-33000000002i3−2i300002i3−2i300000000000−i3i30000000−i3i300000000000000000
χ884-4-444-2-2422-4-42-22-20-2-212-22-2-1-1221000010000000-33-1-11-333-300000000−2i32i300002i3−2i300000000000i3−i30000000−i3i300000000000000000
χ894-4-444-2-2422-4-42-22-20-2-212-22-2-1-1221000010000000-33-1-11-333-3000000002i3−2i30000−2i32i300000000000−i3i30000000i3−i300000000000000000
χ904-4-44-244-2-4-422-44-440-2-242-22-2-4-42240000-200000000022-2000000000000000000000000000000000000000000000023−2300000000000
χ914-4-44-244-2-4-422-44-440-2-242-22-2-4-42240000-200000000022-20000000000000000000000000000000000000000000000−232300000000000
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
χ9488-8-88-4-4-8-448-844-440-4-42-44442-24-4-2000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-484-4-8-44448-802-4-42-244-44-2-44000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-44-44-4444-4402222-2-2-22-2-22-20000-1000006-600-111-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-44-44-4444-4402222-2-2-22-2-22-20000-100000-6600-11133-3-30000000000000000000000000000000000000000000000000000000
χ988-88-88-4-4-84-4-88-44440-4-4244-44-22-44-200002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ998-88-8-48-44-8-44-48-8440-42-4442-24-4-4-2400002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-444-44-4-44440222-2-22-2-222-2-20000-10006-600001-11-33-330000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-444-44-4-44440222-2-22-2-222-2-20000-1000-6600001-113-33-30000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4-4-8444-884-40-42-44-4-22444-2-400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-44-8444-4-8802-4-4-224-444-24-400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444444-44-40222-22-22-2-2-2-220000-100000006-611-1-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444444-44-40222-22-22-2-2-2-220000-10000000-6611-13-3-330000000000000000000000000000000000000000000000000000000

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