Finite Group Databasebeta

← Group #13170539

Character table — Group #13170539

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222222244444444444444444444888888888888881212121212121212121212121212181818181818242424242424242424242424242424242424242436363636363636363636367272108108
order122333446661212333666666661212121212121212123666661212121212121212222244666666121222448866666666666661212121212121266888121224242424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-1111111111111-1-11-111-111-1-11111-11-111-1-111-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-11-111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-11-1-111-1-111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111
χ511111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111-1-11-11-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111111-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-11-1-11-1-111-1-1-1-11-11-1-11111-1-1-111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-111-11111-1-11-111-1-111-1-111-1-11-11-111111-11111111-1-1-1-1-1-1-1-1-11-11-1-11-111-1-11-11-1
χ1011-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-111-11111-1-11-11-1-1111-1-111-1-11-11-1-1-11-11-1-111-1-111-1-11-11-1-1111-1-1111-1-1-111-11-11
χ1111-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-111-11111-1-11-1-111-111-1-1-1-111-11-11-1-1-111-11-1-11111-1-1-11-111-1-1-111-11-11-1-1111-1-11
χ1211-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-111-11111-1-11-1-1-11111-1-1-1-111-11-1111-1-11-1-1-1-1-1-111-1-11111111-11-11-1-1111-1-1-111-1
χ1311-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-111-11111-1-1-1111-1-1-1-11111-1-1-11-111111-1111111-1-111-1-1-1-1-1-1-1-11-11-1-1111-1-1-11-11
χ1411-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-111-11111-1-1-111-1-11-1-11111-1-1-11-11-1-11-1-11-111-1-1-1-1111-11-1-111-111-11-11-1-1111-11-1
χ1511-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-111-11111-1-1-11-111-1-1-111-1-1111-11-1-1-1-11-111-1-111-1-111-11-111-1-11-1-1111-1-1-111-111-1
χ1611-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-111-11111-1-1-11-1-111-1-111-1-1111-11-111-1-1-11-1-1-1-1-1-1-11111111111-11-1-11-111-1-11-1-11
χ17222222-2-2222-2-222222222222-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000000000002-2-2200000000000000000000002-2000-2200000000
χ18222222-2-2222-2-222222222222-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000-222-20000000000000000000000-220002-200000000
χ1922222-12222-1222-1-122-1-1-1-12-12-1-122-1-122-12-1-1-1-1-1-12-1-1-1-1-1222020-1-1-1-1-1-1-1-122220020220-1-100-1-1-1-1020-1-100-1-1000-1-100000000
χ2022222-12222-1222-1-122-1-1-1-12-12-1-122-1-122-12-1-1-1-1-1-12-1-1-1-1-122-20-20-1-1-1-11111-2-2-2-200-202201100-1-1-1-10-201100110001100000000
χ2122222-12222-1222-1-122-1-1-1-12-12-1-122-1-122-12-1-1-1-1-1-12-1-1-1-1-1-2-220201111-1-1-1-1-2-2-2-20020-2-20-1-1001111020-1-100110001100000000
χ2222222-12222-1222-1-122-1-1-1-12-12-1-122-1-122-12-1-1-1-1-1-12-1-1-1-1-1-2-2-20-2011111111222200-20-2-20110011110-201100-1-1000-1-100000000
χ2322222-1-2-222-1-2-22-1-122-1-1-1-12-1-211-2-211-2-2-12-1-1-1-111-211111000000−i3i3−i3i3−i3i3−i3i32-2-220000000−i3i300−i3i3−i3i3000−i3i300-110001-100000000
χ2422222-1-2-222-1-2-22-1-122-1-1-1-12-1-211-2-211-2-2-12-1-1-1-111-211111000000−i3i3−i3i3i3−i3i3−i3-222-20000000i3−i300−i3i3−i3i3000i3−i3001-1000-1100000000
χ2522222-1-2-222-1-2-22-1-122-1-1-1-12-1-211-2-211-2-2-12-1-1-1-111-211111000000i3−i3i3−i3−i3i3−i3i3-222-20000000−i3i300i3−i3i3−i3000−i3i3001-1000-1100000000
χ2622222-1-2-222-1-2-22-1-122-1-1-1-12-1-211-2-211-2-2-12-1-1-1-111-211111000000i3−i3i3−i3i3−i3i3−i32-2-220000000i3−i300i3−i3i3−i3000i3−i300-110001-100000000
χ272222-1222-12222-12-12-12-1-1-1-12-122-1-122-12-1-12-1-1-1-1-1-12-1-1-1-12202022222000000000002-1-1-100-1-1-1-1-1-1-10200-1-100220000000-1-100
χ282222-1222-12222-12-12-12-1-1-1-12-122-1-122-12-1-12-1-1-1-1-1-12-1-1-1-1220-20-2222200000000000-2-1-110011-1-1-1-110-2001100-2-200000001100
χ292222-1222-12222-12-12-12-1-1-1-12-122-1-122-12-1-12-1-1-1-1-1-12-1-1-1-1-2-20202-2-2-2-200000000000211-100-1-11111-10200-1-100-2-200000001100
χ302222-1222-12222-12-12-12-1-1-1-12-122-1-122-12-1-12-1-1-1-1-1-12-1-1-1-1-2-20-20-2-2-2-2-200000000000-21110011111110-2001100220000000-1-100
χ31222-122222-12-1-1-1-12-122222-1-1222-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-100222200002222000022-1-1002-1-1-1-100002-1-1-1-1-1-10000200-1-1-1-10000
χ32222-122222-12-1-1-1-12-122222-1-1222-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1002-22-2000022220000-2-2-1100-2-1-1110000-2-11-1-1110000-20011110000
χ33222-122222-12-1-1-1-12-122222-1-1222-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-100-22-220000-2-2-2-20000-2-21-100211-1-1000021-111-1-10000-20011110000
χ34222-122222-12-1-1-1-12-122222-1-1222-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-20000-2-2-2-20000221100-211110000-21111110000200-1-1-1-10000
χ3522-22222-222222222-2-2-2-2-22222-222222-2-22-2-2-2-22-22-2-2-2-2220000000000000022-2-2000000000000000000000022000-2-200000000
χ3622-22222-222222222-2-2-2-2-22222-222222-2-22-2-2-2-22-22-2-2-2-22200000000000000-2-2220000000000000000000000-2-20002200000000
χ3722-222-12-222-1222-1-1-2-2111-12-121-122-1-1-2-2-1-2111-11-1-2111-1-1000000−i3i3i3−i3−i3i3i3−i322-2-20000000−i3i300−i3i3i3−i3000i3−i300-1-10001100000000
χ3822-222-12-222-1222-1-1-2-2111-12-121-122-1-1-2-2-1-2111-11-1-2111-1-1000000−i3i3i3−i3i3−i3−i3i3-2-2220000000i3−i300−i3i3i3−i3000−i3i30011000-1-100000000
χ3922-222-12-222-1222-1-1-2-2111-12-121-122-1-1-2-2-1-2111-11-1-2111-1-1000000i3−i3−i3i3−i3i3i3−i3-2-2220000000−i3i300i3−i3−i3i3000i3−i30011000-1-100000000
χ4022-222-12-222-1222-1-1-2-2111-12-121-122-1-1-2-2-1-2111-11-1-2111-1-1000000i3−i3−i3i3i3−i3−i3i322-2-20000000i3−i300i3−i3−i3i3000−i3i300-1-10001100000000
χ4122-222-1-2222-1-2-22-1-1-2-2111-12-1-2-11-2-21122-1-2111-1-112-1-1-1112-220-20-1-111-1-1112-22-200202-20-1-100-1-1110-201100-11000-1100000000
χ4222-222-1-2222-1-2-22-1-1-2-2111-12-1-2-11-2-21122-1-2111-1-112-1-1-1112-2-2020-1-11111-1-1-22-2200-202-201100-1-111020-1-1001-10001-100000000
χ4322-222-1-2222-1-2-22-1-1-2-2111-12-1-2-11-2-21122-1-2111-1-112-1-1-111-2220-2011-1-1-1-111-22-220020-220-1-10011-1-10-2011001-10001-100000000
χ4422-222-1-2222-1-2-22-1-1-2-2111-12-1-2-11-2-21122-1-2111-1-112-1-1-111-22-202011-1-111-1-12-22-200-20-220110011-1-1020-1-100-11000-1100000000
χ4522-22-12-22-122-2-2-12-1-21-211-1-1212-211-2-2-12-11-211-1-11-12-1-1112-2020-222-2-2000000000002-11-100-1-1-1-11110-20011002-20000000-1100
χ4622-22-12-22-122-2-2-12-1-21-211-1-1212-211-2-2-12-11-211-1-11-12-1-1112-20-20222-2-200000000000-2-1110011-1-111-10200-1-100-2200000001-100
χ4722-22-12-22-122-2-2-12-1-21-211-1-1212-211-2-2-12-11-211-1-11-12-1-111-22020-2-2-2220000000000021-1-100-1-111-1-110-2001100-2200000001-100
χ4822-22-12-22-122-2-2-12-1-21-211-1-1212-211-2-2-12-11-211-1-11-12-1-111-220-202-2-22200000000000-21-11001111-1-1-10200-1-1002-20000000-1100
χ4922-2-122-222-1211-1-121-2-2-2-22-1-1-22-211112-1-11111-12-2-1-1-1-1110022-2-2000022-2-2000022-1-1002-1-1-1-10000-21111110000-200-1-1110000
χ5022-2-122-222-1211-1-121-2-2-2-22-1-1-22-211112-1-11111-12-2-1-1-1-111002-2-22000022-2-20000-2-2-1100-2-1-111000021-111-1-1000020011-1-10000
χ5122-2-122-222-1211-1-121-2-2-2-22-1-1-22-211112-1-11111-12-2-1-1-1-11100-222-20000-2-2220000-2-21-100211-1-10000-2-11-1-111000020011-1-10000
χ5222-2-122-222-1211-1-121-2-2-2-22-1-1-22-211112-1-11111-12-2-1-1-1-11100-2-2220000-2-2220000221100-2111100002-1-1-1-1-1-10000-200-1-1110000
χ534444-24-4-4-244-4-4-24-24-24-2-2-2-242-4-422-4-42-4-2-24-2-2-2222-422220000000000000000000000000000000000000000000000000000000
χ544444-2-244-24-244-2-214-2-2111-2-2-2-2-2-2-2-2-2-241-2-211111-2-21111440000-2-2-2-2000000000000-2-20000011110000000000000000000000
χ554444-2-244-24-244-2-214-2-2111-2-2-2-2-2-2-2-2-2-241-2-211111-2-21111-4-4000022220000000000002200000-1-1-1-10000000000000000000000
χ564444-2-2-4-4-24-2-4-4-2-214-2-2111-2-222222222-41-2-2111-1-122-1-1-1-1000000−2i32i3−2i32i30000000000000000000i3−i3i3−i30000000000000000000000
χ574444-2-2-4-4-24-2-4-4-2-214-2-2111-2-222222222-41-2-2111-1-122-1-1-1-10000002i3−2i32i3−2i30000000000000000000−i3i3−i3i30000000000000000000000
χ58444-244-4-44-2422-2-24-244444-2-2-4-4-42222-42-2-2-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000
χ59444-24-2444-2-2-2-2-21-2-24-2-2-2-2-214-2-2-2-2114-21-21111-2-2-2111110040400000-2-2-2-2000000-20000110000000-201100000000000000000
χ60444-24-2444-2-2-2-2-21-2-24-2-2-2-2-214-2-2-2-2114-21-21111-2-2-21111100-40-400000222200000020000-1-1000000020-1-100000000000000000
χ61444-24-2-4-44-2-222-21-2-24-2-2-2-2-21-42222-1-1-421-21111222-1-1-1-1-10000000000−2i32i3−2i32i300000000000i3−i3000000000i3−i300000000000000000
χ62444-24-2-4-44-2-222-21-2-24-2-2-2-2-21-42222-1-1-421-21111222-1-1-1-1-100000000002i3−2i32i3−2i300000000000−i3i3000000000−i3i300000000000000000
χ63444-2-2444-2-24-2-21-2-2-2-24-2-2-21-2-24411-2-2-2-211-2111-2-21-21111000404000000000000000-200-200110000-20-20011000000000000000
χ64444-2-2444-2-24-2-21-2-2-2-24-2-2-21-2-24411-2-2-2-211-2111-2-21-21111000-40-4000000000000000200200-1-1000020200-1-1000000000000000
χ65444-2-24-4-4-2-24221-2-2-2-24-2-2-21-22-4-4-1-1222211-211122-12-1-1-1-10000000000000000000000000003-30000000003-3000000000000000
χ66444-2-24-4-4-2-24221-2-2-2-24-2-2-21-22-4-4-1-1222211-211122-12-1-1-1-1000000000000000000000000000-33000000000-33000000000000000
χ6744-44-244-4-24444-24-2-42-422-2-24-2-44-2-2442-4-22-422-22-22-422-2-20000000000000000000000000000000000000000000000000000000
χ6844-44-2-24-4-24-244-2-21-422-1-11-2-2-22-2-2-2-2-22-4122-1-11-1122-1-111000000−2i32i32i3−2i30000000000000000000i3−i3−i3i30000000000000000000000
χ6944-44-2-24-4-24-244-2-21-422-1-11-2-2-22-2-2-2-2-22-4122-1-11-1122-1-1110000002i3−2i3−2i32i30000000000000000000−i3i3i3−i30000000000000000000000
χ7044-44-2-2-44-24-2-4-4-2-21-422-1-11-2-22-222222-24122-1-111-1-2-211-1-14-40000-2-222000000000000-220000011-1-10000000000000000000000
χ7144-44-2-2-44-24-2-4-4-2-21-422-1-11-2-22-222222-24122-1-111-1-2-211-1-1-44000022-2-20000000000002-200000-1-1110000000000000000000000
χ7244-4-2444-44-24-2-2-2-242-4-4-4-44-2-24-44-2-2-2-2-42-22222-2-442222-2-20000000000000000000000000000000000000000000000000000000
χ7344-4-24-24-44-2-2-2-2-21-22-4222-2-2142-2-2-211-4212-1-1-112-22-1-1-1110000000000−2i32i32i3−2i300000000000i3−i3000000000−i3i300000000000000000
χ7444-4-24-24-44-2-2-2-2-21-22-4222-2-2142-2-2-211-4212-1-1-112-22-1-1-11100000000002i3−2i3−2i32i300000000000−i3i3000000000i3−i300000000000000000
χ7544-4-24-2-444-2-222-21-22-4222-2-21-4-2222-1-14-212-1-1-11-22-2111-1-10040-400000-2-222000000-2000011000000020-1-100000000000000000
χ7644-4-24-2-444-2-222-21-22-4222-2-21-4-2222-1-14-212-1-1-11-22-2111-1-100-4040000022-2-200000020000-1-10000000-201100000000000000000
χ7744-4-2-244-4-2-24-2-21-2-222-422-21-2-2-4411-2-2221-12-1-112-2-12-1-1110000000000000000000000000003-3000000000-33000000000000000
χ7844-4-2-244-4-2-24-2-21-2-222-422-21-2-2-4411-2-2221-12-1-112-2-12-1-111000000000000000000000000000-330000000003-3000000000000000
χ7944-4-2-24-44-2-24221-2-222-422-21-224-4-1-122-2-21-12-1-11-221-211-1-100040-4000000000000000-200-20011000020200-1-1000000000000000
χ8044-4-2-24-44-2-24221-2-222-422-21-224-4-1-122-2-21-12-1-11-221-211-1-1000-404000000000000000200200-1-10000-20-20011000000000000000
χ814-4044400-4-4-40044400000-4-4-400000000040000-40000000000000000000000000022−2200000000000000000000000000022−22000000
χ824-4044400-4-4-40044400000-4-4-400000000040000-400000000000000000000000000−2222000000000000000000000000000−2222000000
χ834-40-24400-42-423−23-2-2400000-42200023−2323−2300-20000200000023−2300000000000000000022−22000000000000000000000000000−226−60000
χ844-40-24400-42-423−23-2-2400000-42200023−2323−2300-20000200000023−23000000000000000000−22220000000000000000000000000002−2−660000
χ854-40-24400-42-4−2323-2-2400000-422000−2323−232300-200002000000−232300000000000000000022−22000000000000000000000000000−22−660000
χ864-40-24400-42-4−2323-2-2400000-422000−2323−232300-200002000000−2323000000000000000000−22220000000000000000000000000002−26−60000
χ87888-4-4-488-4-4-4-4-4222-4-4-422222-4-4-42222-4-4-122-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000
χ88888-4-4-4-8-8-4-4-444222-4-4-422222444-2-2-2-244-122-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000
χ8988-8-4-4-48-8-4-4-4-4-4222444-2-2222-44-4222244-1-2-211-1-22-2-211-1-10000000000000000000000000000000000000000000000000000000
χ9088-8-4-4-4-88-4-4-444222444-2-22224-44-2-2-2-2-4-4-1-2-211-12-222-1-1110000000000000000000000000000000000000000000000000000000
χ918-8088-400-8-84008-4-4000004-84000000000-400004000000000000000000000000000000000000000000000000000000000000000
χ928-808-48004-8-800-48-40000044-8000000000-400004000000000000000000000000000000000000000000000000000000000000000
χ938-808-4-4004-8400-4-420006-6-2440000000002006-6-2000000000000000000000000000000000000000000000000000000000000000
χ948-808-4-4004-8400-4-42000-66-244000000000200-66-2000000000000000000000000000000000000000000000000000000000000000
χ958-80-48-400-84443−43-42-40000044-200043−43−23230020000-2000000−23230000000000000000000000000000000000000000000000000000000
χ968-80-48-400-844−4343-42-40000044-2000−434323−230020000-200000023−230000000000000000000000000000000000000000000000000000000
χ978-80-4-480044-843−432-4-4000004-24000−232343−430020000-2000000−23230000000000000000000000000000000000000000000000000000000
χ988-80-4-480044-8−43432-4-4000004-2400023−23−43430020000-200000023−230000000000000000000000000000000000000000000000000000000
χ998-80-4-4-40044443−432220006-6-2-2-2000−2323−232300-100-331000033−333−30000000000000000000000000000000000000000000000000000000
χ1008-80-4-4-40044443−43222000-66-2-2-2000−2323−232300-1003-310000−33333−30000000000000000000000000000000000000000000000000000000
χ1018-80-4-4-400444−43432220006-6-2-2-200023−2323−2300-100-3310000−3333−330000000000000000000000000000000000000000000000000000000
χ1028-80-4-4-400444−4343222000-66-2-2-200023−2323−2300-1003-31000033−33−330000000000000000000000000000000000000000000000000000000

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