Finite Group Databasebeta

← Group #13172852

Character table — Group #13172852

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666623336666666662244366666666666666662444666666121212121212444466666121212121212121212121212122444121212121212222261212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-111111-1-111-1-111-1-1-1-1-111-1-111-111111111-1-1-111-1-1-1-1-111-1-1-1-1-11-1
χ31111111111111111111111111111111-1-1111111111111111111-111111111-1-111-1-111-1-111111-1-111111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-11
χ41111111111111111111111111111111-1-111111111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-111-1-111111-1-1
χ511111111111111111111111111111-1-11111111111111111111111-1-1-1-1-111111111-1-1111-1-111111-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-11
χ711111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-1-1-111-111-1-1-1-1-1111111-11-1
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
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-111111111-1-111-1-11111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-11111-1-111111111-1-1-111-1-1-1-11-1-1-1-111-1-1111-11-111-1-111-1-1111-1-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-111111
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-11111-1-1-1-111-1-11111-111-1-1111-1-1-1-1-1-11111-11-1-11111-1-111-1-1-11-1
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1-1-1-11111-1-11111111-1-111-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-111-11-1
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-11-1-1-1-1-1-111-1-1111
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-111-1-1-1-1-1-111-1-11-1-11111-11111-1-111-1-11-11-111-1-11111-1-11-1-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11111111-1-11111-1-111-1-11111-1-111-1-11
χ17222222-12-12-1222-122-12-1-122-1-1-1-12-10022-122-1-1-122-1-1-1-1-1-1-1-1-122200000-1-1-1-122220022200-1-12-1-10000-1-1-1-1-1-1200000-1-1000000-100
χ18222222-12-12-1222-122-12-1-122-1-1-1-12-10022-122-1-1-122-1-1-1-1-1-1-1-1-1-22-20000011-1-1-2-22200-2-2-200112-110000-1-1-1-111-20000011000000100
χ19222222-12-12-1222-122-12-1-122-1-1-1-12-100-2-2-122-1-1-122-1-1-1-1-1-1-1-1-12-2200000-1-11122-2-200-2-2200-1-1-21-100001111-1-1-20000011000000100
χ20222222-12-12-1222-122-12-1-122-1-1-1-12-100-2-2-122-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2000001111-2-2-2-20022-20011-2110000111111200000-1-1000000-100
χ21222222-12-12-1222-12-2-12-1-122-1-1-1-12-10022-1-2-2111-2-211-1-1-111112-2-200000-1-1-1-1-2-2220022200-1-1-2110000-1-11111-200000-1-1000000100
χ22222222-12-12-1222-12-2-12-1-122-1-1-1-12-10022-1-2-2111-2-211-1-1-11111-2-220000011-1-1222200-2-2-20011-21-10000-1-111-1-120000011000000-100
χ23222222-12-12-1222-12-2-12-1-122-1-1-1-12-100-2-2-1-2-2111-2-211-1-1-1111122-200000-1-111-2-2-2-200-2-2200-1-12-11000011-1-11120000011000000-100
χ24222222-12-12-1222-12-2-12-1-122-1-1-1-12-100-2-2-1-2-2111-2-211-1-1-11111-22200000111122-2-20022-200112-1-1000011-1-1-1-1-200000-1-1000000100
χ2522222-12-12222-1-12222-1-12-1-1-1-122-1-12200-12-1222-1-1-1-1-1-1-1-1-1-1-1202222-1-12200-1-1002200-1-1-1-1-1002-12-1-10000-1-10002-1-10000000000-1
χ2622222-12-12222-1-12222-1-12-1-1-1-122-1-12200-12-1222-1-1-1-1-1-1-1-1-1-1-1-20-2222-1-1-2-2001100-2-2001-1-11100-2-12-1-1000011000-21100000000001
χ2722222-12-12222-1-12222-1-12-1-1-1-122-1-1-2-200-12-1222-1-1-1-1-1-1-1-1-1-1-1202-2-2-2112200-1-100-2-200-111-1-10021-2110000-1-1000-21100000000001
χ2822222-12-12222-1-12222-1-12-1-1-1-122-1-1-2-200-12-1222-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2-211-2-200110022001111100-21-2110000110002-1-10000000000-1
χ2922222-12-12222-1-122-22-1-12-1-1-1-122-1-12200-1-21-2-2-21111-1-1-1111120-2-222-1-122001100-2-200-1-1-1-1-100-21-2110000110002110000000000-1
χ3022222-12-12222-1-122-22-1-12-1-1-1-122-1-12200-1-21-2-2-21111-1-1-11111-202-222-1-1-2-200-1-10022001-1-1110021-2110000-1-1000-2-1-100000000001
χ3122222-12-12222-1-122-22-1-12-1-1-1-122-1-1-2-200-1-21-2-2-21111-1-1-1111120-22-2-211220011002200-111-1-100-2-12-1-1000011000-2-1-100000000001
χ3222222-12-12222-1-122-22-1-12-1-1-1-122-1-1-2-200-1-21-2-2-21111-1-1-11111-2022-2-211-2-200-1-100-2-20011111002-12-1-10000-1-10002110000000000-1
χ332222-12222-12-1222-12-1-12-1-1-122-1-1-122222-1-122-1-1-1-122-1-1-1-1-1-1-10202-1-122002200-1-100000-1-100-1202-1-1-1-1-1-1-10002200000-1-100000-10
χ342222-12222-12-1222-12-1-12-1-1-122-1-1-1222-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-202-1-12200-2-2001100000-1-1001-202-1-1-11111000-2-200000110000010
χ352222-12222-12-1222-12-1-12-1-1-122-1-1-12-2-222-1-122-1-1-1-122-1-1-1-1-1-1-1020-211-2-2002200-1-1000001100-120-2111-1-1-1-1000-2-200000110000010
χ362222-12222-12-1222-12-1-12-1-1-122-1-1-12-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-20-211-2-200-2-200110000011001-20-211111110002200000-1-100000-10
χ372222-12222-12-1222-1-2-1-12-1-1-122-1-1-122222-11-2-21111-2-2-1-1-111110-20-2-1-122002200-1-100000-1-1001-20-2111-1-111000-2200000-1-10000010
χ382222-12222-12-1222-1-2-1-12-1-1-122-1-1-1222-2-2-11-2-21111-2-2-1-1-11111020-2-1-12200-2-2001100000-1-100-120-211111-1-10002-2000001100000-10
χ392222-12222-12-1222-1-2-1-12-1-1-122-1-1-12-2-222-11-2-21111-2-2-1-1-111110-20211-2-2002200-1-10000011001-202-1-1-1-1-1110002-2000001100000-10
χ402222-12222-12-1222-1-2-1-12-1-1-122-1-1-12-2-2-2-2-11-2-21111-2-2-1-1-11111020211-2-200-2-20011000001100-1202-1-1-111-1-1000-2200000-1-10000010
χ4122-2-222222-2-22-2-2-2-2022222-22-2-2-2-2-2002i−2i20000000002-2-2000000000000002i−2i002i−2i2i−2i000000000000002i−2i000000002i−2i0000002-2000
χ4222-2-222222-2-22-2-2-2-2022222-22-2-2-2-2-2002i−2i20000000002-2-2000000000000002i−2i002i−2i−2i2i000000000000002i−2i00000000−2i2i000000-22000
χ4322-2-222222-2-22-2-2-2-2022222-22-2-2-2-2-200−2i2i20000000002-2-200000000000000−2i2i00−2i2i2i−2i00000000000000−2i2i000000002i−2i000000-22000
χ4422-2-222222-2-22-2-2-2-2022222-22-2-2-2-2-200−2i2i20000000002-2-200000000000000−2i2i00−2i2i−2i2i00000000000000−2i2i00000000−2i2i0000002-2000
χ452-2-22222-2-2-2-2-22-2220222-2-2-2-222-22-22-2002000000000-22-2000000002-22-200000000002-202-20000000000000000000002-2002-200000
χ462-2-22222-2-2-2-2-22-2220222-2-2-2-222-22-22-2002000000000-22-2000000002-22-20000000000-2202-2000000000000000000000-2200-2200000
χ472-2-22222-2-2-2-2-22-2220222-2-2-2-222-22-2-22002000000000-22-200000000-22-2200000000002-20-220000000000000000000002-200-2200000
χ482-2-22222-2-2-2-2-22-2220222-2-2-2-222-22-2-22002000000000-22-200000000-22-220000000000-220-22000000000000000000000-22002-200000
χ4944444-2-2-2-24-24-2-2-244-2-21-2-2-211-2-2-21000014-2-2-2-2-2-211111111140400000-2-200-2-2000000-2001100-2000000001100000000000000000
χ5044444-2-2-2-24-24-2-2-244-2-21-2-2-211-2-2-21000014-2-2-2-2-2-2111111111-40-400000220022000000200-1-100200000000-1-100000000000000000
χ5144444-2-2-2-24-24-2-2-24-4-2-21-2-2-211-2-2-2100001-4222222-1-1111-1-1-1-140-400000-2-20022000000-2001100200000000-1-100000000000000000
χ5244444-2-2-2-24-24-2-2-24-4-2-21-2-2-211-2-2-2100001-4222222-1-1111-1-1-1-1-404000002200-2-2000000200-1-100-2000000001100000000000000000
χ534444-24-24-2-2-2-244-2-241-2-21-2-2-2-211-2-200441-24-211-2-2-2-211111110400000000-2-200-2-2000000000-2-20000011110000000000000000000
χ544444-24-24-2-2-2-244-2-241-2-21-2-2-2-211-2-200-4-41-24-211-2-2-2-211111110-4000000002200220000000002200000-1-1-1-10000000000000000000
χ554444-24-24-2-2-2-244-2-2-41-2-21-2-2-2-211-2-2004412-42-1-12222111-1-1-1-10-400000000-2-200-2-2000000000220000011-1-10000000000000000000
χ564444-24-24-2-2-2-244-2-2-41-2-21-2-2-2-211-2-200-4-412-42-1-12222111-1-1-1-10400000000220022000000000-2-200000-1-1110000000000000000000
χ574444-2-24-24-24-2-2-24-24-21-2-211-2-2-2-21-244001-2-24-2-211-2-211111110004-2-2-2-200000000000001100000-2-21100000000000000000000000
χ584444-2-24-24-24-2-2-24-24-21-2-211-2-2-2-21-2-4-4001-2-24-2-211-2-21111111000-422220000000000000-1-10000022-1-100000000000000000000000
χ594444-2-24-24-24-2-2-24-2-4-21-2-211-2-2-2-21-24400122-422-1-122111-1-1-1-1000-4-2-2-2-20000000000000110000022-1-100000000000000000000000
χ604444-2-24-24-24-2-2-24-2-4-21-2-211-2-2-2-21-2-4-400122-422-1-122111-1-1-1-1000422220000000000000-1-100000-2-21100000000000000000000000
χ6144-4-444-24-2-424-4-42-40-24-2-24-4-2222-42004i−4i-2000000000-22200000000000000−2i2i004i−4i0000000000000000−2i2i000000000000000000000
χ6244-4-444-24-2-424-4-42-40-24-2-24-4-2222-4200−4i4i-2000000000-222000000000000002i−2i00−4i4i00000000000000002i−2i000000000000000000000
χ6344-4-44-24-24-4-4422-4-404-2-24-22-22-4-4220000-2000000000-222000000000000000000004i−4i000000000000000000000000−2i2i00000000000
χ6444-4-44-24-24-4-4422-4-404-2-24-22-22-4-4220000-2000000000-22200000000000000000000−4i4i0000000000000000000000002i−2i00000000000
χ6544-4-4-244442-4-2-4-4-420-2-24-2-224-4222-4004i−4i-2000000000-222000000000000004i−4i00−2i2i0000000000000000−2i2i000000000000000000000
χ6644-4-4-244442-4-2-4-4-420-2-24-2-224-4222-400−4i4i-2000000000-22200000000000000−4i4i002i−2i00000000000000002i−2i000000000000000000000
χ6744-4-4-24-24-222-2-4-42201-2-21-22-22-1-122004i−4i10003-300001-1-133-3-30000000000−2i2i00−2i2i0000000000000000i−i3i−3i0000000000000000000
χ6844-4-4-24-24-222-2-4-42201-2-21-22-22-1-122004i−4i1000-3300001-1-1-3-3330000000000−2i2i00−2i2i0000000000000000i−i−3i3i0000000000000000000
χ6944-4-4-24-24-222-2-4-42201-2-21-22-22-1-12200−4i4i10003-300001-1-133-3-300000000002i−2i002i−2i0000000000000000−ii−3i3i0000000000000000000
χ7044-4-4-24-24-222-2-4-42201-2-21-22-22-1-12200−4i4i1000-3300001-1-1-3-33300000000002i−2i002i−2i0000000000000000−ii3i−3i0000000000000000000
χ714-44-4444-4-444-4-44-4-40444-4-44-4-4-44-4400004000000000-4-4400000000000000000000000000000000000000000000000000000000000
χ724-44-444-2-424-2-4-442-40-24-22-44222-2-4-20000-200000000022-2000000000000−2i32i30000000000000−2i32i3000000000000000000000000000000
χ734-44-444-2-424-2-4-442-40-24-22-44222-2-4-20000-200000000022-20000000000002i3−2i300000000000002i3−2i3000000000000000000000000000000
χ744-44-44-242-444-42-2-4-404-2-2-42-222-442-20000-200000000022-20000000000000000−2i32i30000000000000000000000−2i32i300000000000000000
χ754-44-44-242-444-42-2-4-404-2-2-42-222-442-20000-200000000022-200000000000000002i3−2i300000000000000000000002i3−2i300000000000000000
χ764-44-44-2-2224-2-42-22-40-2-2122-2-1-12-2210000100000003-3-1-113-33-300000000−2i32i300−2i32i3000000000i3−i300000000000i3−i300000000000000000
χ774-44-44-2-2224-2-42-22-40-2-2122-2-1-12-2210000100000003-3-1-113-33-3000000002i3−2i3002i3−2i3000000000−i3i300000000000−i3i300000000000000000
χ784-44-44-2-2224-2-42-22-40-2-2122-2-1-12-221000010000000-33-1-11-33-3300000000−2i32i3002i3−2i3000000000i3−i300000000000−i3i300000000000000000
χ794-44-44-2-2224-2-42-22-40-2-2122-2-1-12-221000010000000-33-1-11-33-33000000002i3−2i300−2i32i3000000000−i3i300000000000i3−i300000000000000000
χ804-44-4-244-4-4-242-44-420-2-2422-2-4-42-2240000-200000000022-20000000000000000000000000000000000000000000000000023−230000000
χ814-44-4-244-4-4-242-44-420-2-2422-2-4-42-2240000-200000000022-200000000000000000000000000000000000000000000000000−23230000000
χ824-4-4444-2-42-42-44-4-240-24-22-4-42-2-22420000-20000000002-2200000000000000000000004-4000000000000000000000000-22000000000
χ834-4-4444-2-42-42-44-4-240-24-22-4-42-2-22420000-20000000002-220000000000000000000000-440000000000000000000000002-2000000000
χ844-4-444-242-4-4-4-4-224404-2-2-4222-24-4-224-400-20000000002-22000000004-4-220000000000000-2200000000000000000000000000000000
χ854-4-444-242-4-4-4-4-224404-2-2-4222-24-4-22-4400-20000000002-2200000000-442-200000000000002-200000000000000000000000000000000
χ864-4-44-244-4-42-424-44-20-2-24222-44-22-2-44-400-20000000002-2200000000-224-40000000000000-2200000000000000000000000000000000
χ874-4-44-244-4-42-424-44-20-2-24222-44-22-2-4-4400-20000000002-22000000002-2-4400000000000002-200000000000000000000000000000000
χ884-4-44-2-242-42-42-224-20-21-22-1-12-2-22124-4001000003-300-11-13-3-330000-22-2200000000000001-100000003-300000000000000000000000
χ894-4-44-2-242-42-42-224-20-21-22-1-12-2-22124-400100000-3300-11-1-333-30000-22-2200000000000001-10000000-3300000000000000000000000
χ904-4-44-2-242-42-42-224-20-21-22-1-12-2-2212-44001000003-300-11-13-3-3300002-22-20000000000000-110000000-3300000000000000000000000
χ914-4-44-2-242-42-42-224-20-21-22-1-12-2-2212-4400100000-3300-11-1-333-300002-22-20000000000000-1100000003-300000000000000000000000
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
χ9488-8-88-4-4-4-4-848444-80-4-42-4-442-2444-2000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-48-484-8-444-840-42-4-42-2-4444-24000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-4-4-444-44444022222-22-2-2-2-2-20000-10006-60000-111-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-4-4-444-44444022222-22-2-2-2-2-20000-1000-660000-11133-3-30000000000000000000000000000000000000000000000000000000
χ988-88-8-48-4-84-4-44-884402-4-4-24-444-224-400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-484-8-4844-4-840-42-44-22444-4-2-400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-444-4-444-4440222-2-22-2-2-22-220000-100000006-611-1-33-330000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-444-4-444-4440222-2-22-2-2-22-220000-10000000-6611-13-33-30000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-444-84-8-44-480-4-42444-22-44-4-200002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4-844448-8-4-402-4-4-2444-42-2-4400002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444444-44-4-40222-2-2-2-222-22-20000-1000006-6001-11-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444444-44-4-40222-2-2-2-222-22-20000-100000-66001-113-3-330000000000000000000000000000000000000000000000000000000

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