Finite Group Databasebeta

← Group #13168484

Character table — Group #13168484

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212443666121212121212121212121212244446612121212121222444444666121212121212121212121212121212121244661212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111111-1-111-1-111-1-1-1-1111-1111-1-1111-1-1-1-11111-11-1-1-1-1-1-111-1-11-1-1
χ31111111111111111111111111111111111111111111111111-1111-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1111-1-1111111111-111-1-1-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111111111111111111111-11-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11
χ51111111111111111111111111111111-1-111111111111111111-111111-1-111-1-1-1-1-1-111111111-11111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1-111-1-1-11111-1-1-1-1-11-1-1-1-1-1-111111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-111-1-111-1-111111-1-1-1-111-1-1-111-1-111-1-11-1-1-1-1-1111111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111111-1-1-1-111-1-1-11-111-1-1-111-1-11111-1-1-1111-1-111-1-1111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-11111-11111-1-111-1-111-1-111-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-111-1-111111-1-1-1-11-1-1-1-111-1-11111-1-111-1-1-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1-1-1-1-111-1-1-1-111111-11-1-1111-1-111-1-1-1-111-1111-1-111-1-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-111-1-111-1-1-11111-1-1111-1-111-1-1111-1-1-1-1-11111-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-11111-1-1-1
χ17222222-12-12-1222-12-1-122-1-1-122-12-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-10222000-1-1-1-122220000000002-1002-1200-1-1-1-1-1-1-1-120-1-1000000000-10
χ18222222-12-12-1222-12-1-122-1-1-122-12-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-102-2-2000-1-11122-2-2000000000-2-100-212001111-1-1-1-1-201100000000010
χ19222222-12-12-1222-12-1-122-1-1-122-12-1-122-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-10-22200011-1-1-2-2-2-200000000021002-1-200-1-1-1-11111-201100000000010
χ20222222-12-12-1222-12-1-122-1-1-122-12-1-122-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-10-2-2-20001111-2-222000000000-2100-21-2001111111120-1-1000000000-10
χ21222222-12-12-1222-12-1-12-2-1-1-122-12-1-1-2-222-1-1-1-11-2-2-2111111110-22-2000-1-1-1-122220000000002100-21-20011-1-1-1-111-20-1-100000000010
χ22222222-12-12-1222-12-1-12-2-1-1-122-12-1-1-2-222-1-1-1-11-2-2-2111111110-2-22000-1-11122-2-2000000000-21002-1-200-1-111-1-1112011000000000-10
χ23222222-12-12-1222-12-1-12-2-1-1-122-12-1-1-2-2-2-2-1-1-1-11-2-2-211111111022-200011-1-1-2-2-2-20000000002-100-2120011-1-111-1-12011000000000-10
χ24222222-12-12-1222-12-1-12-2-1-1-122-12-1-1-2-2-2-2-1-1-1-11-2-2-21111111102-220001111-2-222000000000-2-1002-1200-1-11111-1-1-20-1-100000000010
χ2522222-1222-122-1-1222-1-1222-1-1-1-1-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-1202222200220000002222-1-1-1-102-1-120-1-1-1-1-1-100000000-1-1-1-10000000
χ2622222-1222-122-1-1222-1-1222-1-1-1-1-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-120-2-222200-2-2000000-2-2-2-2-1-1-1102-11-20-1-111110000000011110000000
χ2722222-1222-122-1-1222-1-1222-1-1-1-1-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-1-2022-2-2-20022000000-2-2-2-2111-10-21-12011-1-1-1-10000000011110000000
χ2822222-1222-122-1-1222-1-1222-1-1-1-1-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-1-20-2-2-2-2-200-2-2000000222211110-211-2011111100000000-1-1-1-10000000
χ2922222-1222-122-1-1222-1-1-222-1-1-1-1-1-121100-1-1-1-1-2-21111-2-21111202-2-222002200000022-2-2-1-1-1-10-211-201111-1-100000000-1-1110000000
χ3022222-1222-122-1-1222-1-1-222-1-1-1-1-1-121100-1-1-1-1-2-21111-2-2111120-22-22200-2-2000000-2-222-1-1-110-21-12011-1-1110000000011-1-10000000
χ3122222-1222-122-1-1222-1-1-222-1-1-1-1-1-121100-1-1-1-1-2-21111-2-21111-202-22-2-20022000000-2-222111-102-11-20-1-111-1-10000000011-1-10000000
χ3222222-1222-122-1-1222-1-1-222-1-1-1-1-1-121100-1-1-1-1-2-21111-2-21111-20-222-2-200-2-200000022-2-2111102-1-120-1-1-1-11100000000-1-1110000000
χ332222-122-1222-1222-1-12-12-1-12-1-12-12-12222-1-1-1-12-1-1-122-1-1-1-1-1-122002-1-12200-1-1002200002-1-102-1200-1-1-10000-1-1-1-102000000-1-100-100
χ342222-122-1222-1222-1-12-12-1-12-1-12-12-12222-1-1-1-12-1-1-122-1-1-1-1-1-1-2200-2112200-1-100-2-20000-211021-200-1110000-1-1-1-10-20000001100100
χ352222-122-1222-1222-1-12-12-1-12-1-12-12-122-2-2-1-1-1-12-1-1-122-1-1-1-1-1-12-2002-1-1-2-2001100-2-200002-1-10-2-12001-1-1000011110-20000001100100
χ362222-122-1222-1222-1-12-12-1-12-1-12-12-122-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-200-211-2-2001100220000-2110-21-2001110000111102000000-1-100-100
χ372222-122-1222-1222-1-12-1-2-1-12-1-12-12-1-2-222-1-1-1-1-2111-2-21111112-200-2-1-12200-1-1002200002-1-10-21-2001110000-1-1110-2000000-1-100100
χ382222-122-1222-1222-1-12-1-2-1-12-1-12-12-1-2-222-1-1-1-1-2111-2-2111111-2-2002112200-1-100-2-20000-2110-2-12001-1-10000-1-111020000001100-100
χ392222-122-1222-1222-1-12-1-2-1-12-1-12-12-1-2-2-2-2-1-1-1-1-2111-2-21111112200-2-1-1-2-2001100-2-200002-1-1021-200-111000011-1-1020000001100-100
χ402222-122-1222-1222-1-12-1-2-1-12-1-12-12-1-2-2-2-2-1-1-1-1-2111-2-2111111-2200211-2-2001100220000-21102-1200-1-1-1000011-1-10-2000000-1-100100
χ4122-2-2222-2-222-2-2-2-222220-2-2-2-22-2-222002-22-2-2200000000000000000002-2002-20000002i−2i00000000000000002-2000000002i−2i002i−2i000
χ4222-2-2222-2-222-2-2-2-222220-2-2-2-22-2-222002-22-2-2200000000000000000002-2002-2000000−2i2i00000000000000002-200000000−2i2i00−2i2i000
χ4322-2-2222-2-222-2-2-2-222220-2-2-2-22-2-22200-222-2-220000000000000000000-2200-220000002i−2i0000000000000000-22000000002i−2i00−2i2i000
χ4422-2-2222-2-222-2-2-2-222220-2-2-2-22-2-22200-222-2-220000000000000000000-2200-22000000−2i2i0000000000000000-2200000000−2i2i002i−2i000
χ452-2-22222-22-2-222-2-2-222202-22-2-2-22-2-2000022-2-200000000000000000000000002-22i−2i2i−2i0000000000000000000000002-22i−2i002i−2i00000
χ462-2-22222-22-2-222-2-2-222202-22-2-2-22-2-2000022-2-200000000000000000000000002-2−2i2i−2i2i0000000000000000000000002-2−2i2i00−2i2i00000
χ472-2-22222-22-2-222-2-2-222202-22-2-2-22-2-2000022-2-20000000000000000000000000-222i−2i−2i2i000000000000000000000000-22−2i2i002i−2i00000
χ482-2-22222-22-2-222-2-2-222202-22-2-2-22-2-2000022-2-20000000000000000000000000-22−2i2i2i−2i000000000000000000000000-222i−2i00−2i2i00000
χ4944444-2-24-2-2-24-2-2-24-21-24-2-21-2-21-21-2-2-2001111-24-2-211-2-21111004400000-2-20000000000000-2000-2-200011110000000000000000000
χ5044444-2-24-2-2-24-2-2-24-21-24-2-21-2-21-21-2-2-2001111-24-2-211-2-2111100-4-400000220000000000000200022000-1-1-1-10000000000000000000
χ5144444-2-24-2-2-24-2-2-24-21-2-4-2-21-2-21-21-2220011112-422-1-122-1-1-1-1004-400000-2-20000000000000-200022000-1-1110000000000000000000
χ5244444-2-24-2-2-24-2-2-24-21-2-4-2-21-2-21-21-2220011112-422-1-122-1-1-1-100-44000002200000000000002000-2-200011-1-10000000000000000000
χ534444-24-2-2-24-2-244-2-21-2-2411-2-2-2-2-2-2144441111-2-2-2-2-2-21111110400000-2-200-2-2000000000000-20000-20000001111000000000000000
χ544444-24-2-2-24-2-244-2-21-2-2411-2-2-2-2-2-2144-4-41111-2-2-2-2-2-21111110-400000220022000000000000200002000000-1-1-1-1000000000000000
χ554444-24-2-2-24-2-244-2-21-2-2-411-2-2-2-2-2-21-4-4441111222222-1-1-1-1-1-10-400000-2-200-2-200000000000020000200000011-1-1000000000000000
χ564444-24-2-2-24-2-244-2-21-2-2-411-2-2-2-2-2-21-4-4-4-41111222222-1-1-1-1-1-10400000220022000000000000-20000-2000000-1-111000000000000000
χ574444-2-24-24-24-2-2-24-2-2-214-2-2-211-21-2-2-2-20011114-211-2-2-2-2111140004-2-200000000000000-21100-2-20001100000000000000000000000
χ584444-2-24-24-24-2-2-24-2-2-214-2-2-211-21-2-2-2-20011114-211-2-2-2-21111-4000-422000000000000002-1-10022000-1-100000000000000000000000
χ594444-2-24-24-24-2-2-24-2-2-21-4-2-2-211-21-2-222001111-42-1-12222-1-1-1-14000-4-2-200000000000000-2110022000-1-100000000000000000000000
χ604444-2-24-24-24-2-2-24-2-2-21-4-2-2-211-21-2-222001111-42-1-12222-1-1-1-1-4000422000000000000002-1-100-2-20001100000000000000000000000
χ6144-4-444-2-424-2-4-4-424-2-240222-442-4-2-2004-4-222-20000000000000000000-22004-4000000000000000000000000-2200000000000000000
χ6244-4-444-2-424-2-4-4-424-2-240222-442-4-2-200-44-222-200000000000000000002-200-440000000000000000000000002-200000000000000000
χ6344-4-44-24-4-4-24-422-444-2-20-4-422-222-240000-222-200000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000000
χ6444-4-44-24-4-4-24-422-444-2-20-4-422-222-240000-222-20000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000000
χ6544-4-4-2442-4442-4-4-4-2-24-2022-42-2-424-2004-4-222-200000000000000000004-400-22000000000000000000000000-2200000000000000000
χ6644-4-4-2442-4442-4-4-4-2-24-2022-42-2-424-200-44-222-20000000000000000000-44002-20000000000000000000000002-200000000000000000
χ6744-4-4-24-2224-22-4-42-21-2-20-1-122-222-21004-41-1-110000003-333-3-30000000-2200-220000000000000000000000001-13-3000000000000000
χ6844-4-4-24-2224-22-4-42-21-2-20-1-122-222-21004-41-1-11000000-33-3-3330000000-2200-220000000000000000000000001-1-33000000000000000
χ6944-4-4-24-2224-22-4-42-21-2-20-1-122-222-2100-441-1-110000003-333-3-300000002-2002-2000000000000000000000000-11-33000000000000000
χ7044-4-4-24-2224-22-4-42-21-2-20-1-122-222-2100-441-1-11000000-33-3-33300000002-2002-2000000000000000000000000-113-3000000000000000
χ714-44-44444-4-4-4-4-444-44440-44-44-44-4-4-400004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ724-44-444-242-42-4-44-2-4-2-2402-224-4-2-4220000-22-2200000000000000000000023−2300000000000000000000000023−230000000000000000000
χ734-44-444-242-42-4-44-2-4-2-2402-224-4-2-4220000-22-22000000000000000000000−2323000000000000000000000000−23230000000000000000000
χ744-44-44-244-42-4-42-24-44-2-20-442-22-222-423−2300-22-220023−2323−230023−2323−2300000000000000000000000000000000000000000000000000000000
χ754-44-44-244-42-4-42-24-44-2-20-442-22-222-4−232300-22-2200−2323−232300−2323−232300000000000000000000000000000000000000000000000000000000
χ764-44-44-2-24222-42-2-2-4-21-202-2-1-2212-1223−23001-11-10023−23−3300−33−3300000000023−2300000000000000000000003-3−330000000000000000000
χ774-44-44-2-24222-42-2-2-4-21-202-2-1-2212-1223−23001-11-10023−23−3300−33−33000000000−23230000000000000000000000-333−30000000000000000000
χ784-44-44-2-24222-42-2-2-4-21-202-2-1-2212-12−2323001-11-100−23233−3003−33−300000000023−230000000000000000000000-33−330000000000000000000
χ794-44-44-2-24222-42-2-2-4-21-202-2-1-2212-12−2323001-11-100−23233−3003−33−3000000000−232300000000000000000000003-33−30000000000000000000
χ804-44-4-244-2-4-4-42-4442-24-202-2-4-2242-420000-22-2200000000000000000−2i32i3000000000000000−2i32i300000000000000000000000000000000
χ814-44-4-244-2-4-4-42-4442-24-202-2-4-2242-420000-22-22000000000000000002i3−2i30000000000000002i3−2i300000000000000000000000000000000
χ824-44-4-2-24-2-42-422-242-2-2102-221-1-2-12223−23001-11-100−3323−2300−33−3300000−2i32i3000000000000000i3−i300000003i−3i00000000000000000000000
χ834-44-4-2-24-2-42-422-242-2-2102-221-1-2-12223−23001-11-100−3323−2300−33−33000002i3−2i3000000000000000−i3i30000000−3i3i00000000000000000000000
χ844-44-4-2-24-2-42-422-242-2-2102-221-1-2-122−2323001-11-1003−3−2323003−33−300000−2i32i3000000000000000i3−i30000000−3i3i00000000000000000000000
χ854-44-4-2-24-2-42-422-242-2-2102-221-1-2-122−2323001-11-1003−3−2323003−33−3000002i3−2i3000000000000000−i3i300000003i−3i00000000000000000000000
χ864-4-4444-2-4-2-4244-42-4-2-240-22-2-4-424220000-2-22200000000000000000000000004-40000000000000000000000000000-2200000000000
χ874-4-4444-2-4-2-4244-42-4-2-240-22-2-4-424220000-2-2220000000000000000000000000-4400000000000000000000000000002-200000000000
χ884-4-444-24-442-44-22-4-44-2-204-4-2222-22-40000-2-222000000000000000000000000000004i−4i00000000000000000000000000−2i2i000000000
χ894-4-444-24-442-44-22-4-44-2-204-4-2222-22-40000-2-22200000000000000000000000000000−4i4i000000000000000000000000002i−2i000000000
χ904-4-44-24424-4-4-24-4-42-24-20-22422-4-2-420000-2-2220000000000000000000000000004i−4i00000000000000000000000000000000−2i2i00000
χ914-4-44-24424-4-4-24-4-42-24-20-22422-4-2-420000-2-222000000000000000000000000000−4i4i000000000000000000000000000000002i−2i00000
χ928888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-400-1-1-1-1-4-4222222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ938888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224400-1-1-1-144-2-2-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9488-8-88-4-4-84-4-4-84448-42-4044-24-4-242-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-484-8-48444-8-4-4-420444-224-2-4-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-444-4-44444-42220-2-2-2-22-2-2220000-111-10000006-6-3-33300000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-444-4-44444-42220-2-2-2-22-2-2220000-111-1000000-6633-3-300000000000000000000000000000000000000000000000000000000
χ988-88-8-48-4-44-844-88-442-4-40-224-44-444-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-4-444444-4-442220-22-22-22-2-2-243−4300-11-1100−2323−2323003−33−300000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-4-444444-4-442220-22-22-22-2-2-2−434300-11-110023−2323−2300−33−3300000000000000000000000000000000000000000000000000000000
χ1018-8-888-4-4-8-4448-444-8-42-40-44244-2-4-24000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-44-4-84-48-8442-4-402-2-4444-44-2000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48484-8-4-44-84-4-420-44-4-2-24244000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-444-4-444422202-22-2-2-22-2-20000-1-1110000000033−33−333300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-444-4-444422202-22-2-2-22-2-20000-1-11100000000−333333−3300000000000000000000000000000000000000000000000000000000

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