Finite Group Databasebeta

← Group #13169403

Character table — Group #13169403

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order1222333666666666333466666666612124436661212121212121212121212124444412121212121212122244444412121212121212121212121212121212121212122466121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-1111-1-11111-1-1-1-111-1-111-1-1111-111-1-111-1-11111-11-1-1-1-111-1-1-1-1-11-1
χ31111111111111111111111111111111111111111111111111-11-111-1-1111111-1-111-1-1-1-11-111-11-11-1-111-1-11111111-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-11111-1-1-1-111-1-1-1-111-11111-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11-11-111-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-11111111111111111-11-11-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1-11-1-1-1-111-1-111-111
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
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1111-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-11111111-1-1
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111111111111111-1-1-11-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111-1-111-1-1-1-11-111-1-1-1-1111111-1-1-11-1-111-1-11111-11-1
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-111-1-1111111-11-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-1-111
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11-111111-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-11111-1-11-11
χ17222222-122-12-1-12222-1-122-1-1-12-12-1-12222-1-1-1-1-12-1-122-1-1-1-1-1-10202200-1-1-1-12200220000-102-1020200-1-100-1-1-1-1-1-12000-1-1000000-100
χ18222222-122-12-1-12222-1-122-1-1-12-12-1-12222-1-1-1-1-12-1-122-1-1-1-1-1-10-20-220011-1-12200-2-20000-10-21020-200110011-1-1-1-1-200011000000100
χ19222222-122-12-1-12222-1-122-1-1-12-12-1-122-2-2-1-1-1-1-12-1-122-1-1-1-1-1-10202-200-1-111-2-200-2-20000102-10-20200-1-100-1-11111-200011000000100
χ20222222-122-12-1-12222-1-122-1-1-12-12-1-122-2-2-1-1-1-1-12-1-122-1-1-1-1-1-10-20-2-2001111-2-20022000010-210-20-20011001111112000-1-1000000-100
χ21222222-122-12-1-12222-1-1-22-1-1-12-12-1-1-2-222-1-1-1-11-211-2-2111111020-2-20011-1-12200-2-20000102-10-20-200-1-10011-1-111200011000000-100
χ22222222-122-12-1-12222-1-1-22-1-1-12-12-1-1-2-222-1-1-1-11-211-2-21111110-202-200-1-1-1-1220022000010-210-202001100-1-1-1-111-2000-1-1000000100
χ23222222-122-12-1-12222-1-1-22-1-1-12-12-1-1-2-2-2-2-1-1-1-11-211-2-2111111020-22001111-2-200220000-102-1020-200-1-1001111-1-1-2000-1-1000000100
χ24222222-122-12-1-12222-1-1-22-1-1-12-12-1-1-2-2-2-2-1-1-1-11-211-2-21111110-202200-1-111-2-200-2-20000-10-210202001100-1-111-1-1200011000000-100
χ2522222-12-122-12222-1-12-12-12-12-1-1-1-12-1-100-1-1-1-12222-1-1-1-1-1-1-1-12222022220000220000220-1-1220-1-1-1-1-1-1-1-1-1-1000000-1-10000-1-100000
χ2622222-12-122-12222-1-12-12-12-12-1-1-1-12-1-100-1-1-1-12222-1-1-1-1-1-1-1-12-22-2022-2-20000-2-20000-2-20-11-220-11-1-111-1-1110000001100001100000
χ2722222-12-122-12222-1-12-12-12-12-1-1-1-12-1-100-1-1-1-12222-1-1-1-1-1-1-1-1-22-220-2-2220000-2-20000-2-201-12-201-111-1-111-1-10000001100001100000
χ2822222-12-122-12222-1-12-12-12-12-1-1-1-12-1-100-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20-2-2-2-2000022000022011-2-201111111111000000-1-10000-1-100000
χ2922222-12-122-12222-1-12-1-2-12-12-1-1-1-121100-1-1-1-1-2-2-2-21111111122-2-2022-2-20000-2-20000220-1-12-2011-1-1-1-11111000000110000-1-100000
χ3022222-12-122-12222-1-12-1-2-12-12-1-1-1-121100-1-1-1-1-2-2-2-2111111112-2-22022220000220000-2-20-11-2-201-1-1-11111-1-1000000-1-100001100000
χ3122222-12-122-12222-1-12-1-2-12-12-1-1-1-121100-1-1-1-1-2-2-2-211111111-222-20-2-2-2-20000220000-2-201-1220-1111-1-1-1-111000000-1-100001100000
χ3222222-12-122-12222-1-12-1-2-12-12-1-1-1-121100-1-1-1-1-2-2-2-211111111-2-2220-2-2220000-2-2000022011-220-1-11111-1-1-1-1000000110000-1-100000
χ332222-1222-12222-1-12-1-122-1-12-1-12-12-12222-1-1-1-12-1-1-1-1-122-1-1-1-120202-1-10022-1-1000022002200-1-120-1-100-1-100-1-1-1-1020000-1-100000-10
χ342222-1222-12222-1-12-1-122-1-12-1-12-12-12222-1-1-1-12-1-1-1-1-122-1-1-1-1-20-202110022-1-10000-2-2002-2001-1-2011001100-1-1-1-10-20000110000010
χ352222-1222-12222-1-12-1-122-1-12-1-12-12-122-2-2-1-1-1-12-1-1-1-1-122-1-1-1-12020-2-1-100-2-2110000-2-200-2200-1120-1-100-1-10011110-20000110000010
χ362222-1222-12222-1-12-1-122-1-12-1-12-12-122-2-2-1-1-1-12-1-1-1-1-122-1-1-1-1-20-20-21100-2-21100002200-2-20011-20110011001111020000-1-100000-10
χ372222-1222-12222-1-12-1-12-2-1-12-1-12-12-1-2-222-1-1-1-1-211111-2-2111120-20-2-1-10022-1-100002200-220011-20-1-1001100-1-1110-20000-1-10000010
χ382222-1222-12222-1-12-1-12-2-1-12-1-12-12-1-2-222-1-1-1-1-211111-2-21111-2020-2110022-1-10000-2-200-2-200-11201100-1-100-1-1110200001100000-10
χ392222-1222-12222-1-12-1-12-2-1-12-1-12-12-1-2-2-2-2-1-1-1-1-211111-2-2111120-202-1-100-2-2110000-2-20022001-1-20-1-100110011-1-10200001100000-10
χ402222-1222-12222-1-12-1-12-2-1-12-1-12-12-1-2-2-2-2-1-1-1-1-211111-2-21111-202021100-2-211000022002-200-1-1201100-1-10011-1-10-20000-1-10000010
χ412-22-2222-2-22-2-2-22-222220-2-2-22-2-222-2002i−2i2-2-220000000000000000000002i−2i2i−2i0000002-200000000000000002i−2i00000000002-22i−2i000
χ422-22-2222-2-22-2-2-22-222220-2-2-22-2-222-2002i−2i2-2-220000000000000000000002i−2i2i−2i000000-2200000000000000002i−2i0000000000-22−2i2i000
χ432-22-2222-2-22-2-2-22-222220-2-2-22-2-222-200−2i2i2-2-22000000000000000000000−2i2i−2i2i0000002-20000000000000000−2i2i00000000002-2−2i2i000
χ442-22-2222-2-22-2-2-22-222220-2-2-22-2-222-200−2i2i2-2-22000000000000000000000−2i2i−2i2i000000-220000000000000000−2i2i0000000000-222i−2i000
χ452-2-222222-2-2-22-2-22-222202-22-2-2-2-2-22000022-2-200000000000000000000000002-22i−2i2i−2i0000000000000000000000002-22i−2i2i−2i0000000
χ462-2-222222-2-2-22-2-22-222202-22-2-2-2-2-22000022-2-200000000000000000000000002-2−2i2i−2i2i0000000000000000000000002-2−2i2i−2i2i0000000
χ472-2-222222-2-2-22-2-22-222202-22-2-2-2-2-22000022-2-20000000000000000000000000-222i−2i−2i2i000000000000000000000000-222i−2i−2i2i0000000
χ482-2-222222-2-2-22-2-22-222202-22-2-2-2-2-22000022-2-20000000000000000000000000-22−2i2i2i−2i000000000000000000000000-22−2i2i2i−2i0000000
χ4944444-2-2-24-2-2-2-244-2-2-214-2-21-2-21-21-2-2-2001111-24-2-2-2-21111110404000-2-200000000000000-2-2000-2001100110000000000000000000
χ5044444-2-2-24-2-2-2-244-2-2-214-2-21-2-21-21-2-2-2001111-24-2-2-2-21111110-40-4000220000000000000022000200-1-100-1-10000000000000000000
χ5144444-2-2-24-2-2-2-244-2-2-21-4-2-21-2-21-21-2220011112-42222-1-1-1-1-1-1040-40002200000000000000-2-20002001100-1-10000000000000000000
χ5244444-2-2-24-2-2-2-244-2-2-21-4-2-21-2-21-21-2220011112-42222-1-1-1-1-1-10-404000-2-20000000000000022000-200-1-100110000000000000000000
χ534444-24-24-2-24-2-2-2-24-21-24-21-21-2-2-2-2144441111-2-211-2-2-2-21111000040000-2-2-2-200000000-20000-200000000001111000000000000000
χ544444-24-24-2-24-2-2-2-24-21-24-21-21-2-2-2-2144-4-41111-2-211-2-2-2-211110000-400002222000000002000020000000000-1-1-1-1000000000000000
χ554444-24-24-2-24-2-2-2-24-21-2-4-21-21-2-2-2-21-4-444111122-1-12222-1-1-1-10000-40000-2-2-2-200000000200002000000000011-1-1000000000000000
χ564444-24-24-2-24-2-2-2-24-21-2-4-21-21-2-2-2-21-4-4-4-4111122-1-12222-1-1-1-1000040000222200000000-20000-20000000000-1-111000000000000000
χ574444-2-24-2-24-244-2-2-21-2-241-2-2-21-21-2-2-2-20011114-2-2-211-2-2111140400-2-2000000000000000-200-20-20110011000000000000000000000
χ584444-2-24-2-24-244-2-2-21-2-241-2-2-21-21-2-2-2-20011114-2-2-211-2-21111-40-400220000000000000002002020-1-100-1-1000000000000000000000
χ594444-2-24-2-24-244-2-2-21-2-2-41-2-2-21-21-2-222001111-4222-1-122-1-1-1-140-400-2-2000000000000000-20020201100-1-1000000000000000000000
χ604444-2-24-2-24-244-2-2-21-2-2-41-2-2-21-21-2-222001111-4222-1-122-1-1-1-1-4040022000000000000000200-20-20-1-10011000000000000000000000
χ6144-4-4444-44-44-44-4-4-44440-44-4-444-4-4-400004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ6244-4-444-2-44242-2-4-4-44-2-20-4-2224-2-4220000-22-22000000000000000000023−230000000000000000000000000023−230000000000000000000
χ6344-4-444-2-44242-2-4-4-44-2-20-4-2224-2-4220000-22-220000000000000000000−232300000000000000000000000000−23230000000000000000000
χ6444-4-44-2424-4-2-44-4-42-24-20242-4-2-222-423−2300-22-22000023−2323−232323−23−2300000000000000000000000000000000000000000000000000000000
χ6544-4-44-2424-4-2-44-4-42-24-20242-4-2-222-4−232300-22-220000−2323−2323−23−23232300000000000000000000000000000000000000000000000000000000
χ6644-4-44-2-2242-22-2-4-42-2-2102-2-12-212-1223−23001-11-1000023−23−33−3−333000000023−2300000000000000000000003-300−330000000000000000000
χ6744-4-44-2-2242-22-2-4-42-2-2102-2-12-212-1223−23001-11-1000023−23−33−3−3330000000−23230000000000000000000000-33003−30000000000000000000
χ6844-4-44-2-2242-22-2-4-42-2-2102-2-12-212-12−2323001-11-10000−23233−333−3−3000000023−230000000000000000000000-3300−330000000000000000000
χ6944-4-44-2-2242-22-2-4-42-2-2102-2-12-212-12−2323001-11-10000−23233−333−3−30000000−232300000000000000000000003-3003−30000000000000000000
χ7044-4-4-244-4-2-44-4422-4-2-2402-2-42-242-420000-22-2200000000000000000−2i32i30000000000000000000000−2i32i30000000000000000000000000
χ7144-4-4-244-4-2-44-4422-4-2-2402-2-42-242-420000-22-22000000000000000002i3−2i300000000000000000000002i3−2i30000000000000000000000000
χ7244-4-4-2-242-2-4-2-442221-2-20-1-2221-2-12223−23001-11-10000−3323−23−3−33300000−2i32i30000000000000000000000i3−i3003i−3i000000000000000000000
χ7344-4-4-2-242-2-4-2-442221-2-20-1-2221-2-12223−23001-11-10000−3323−23−3−333000002i3−2i30000000000000000000000−i3i300−3i3i000000000000000000000
χ7444-4-4-2-242-2-4-2-442221-2-20-1-2221-2-122−2323001-11-100003−3−232333−3−300000−2i32i30000000000000000000000i3−i300−3i3i000000000000000000000
χ7544-4-4-2-242-2-4-2-442221-2-20-1-2221-2-122−2323001-11-100003−3−232333−3−3000002i3−2i30000000000000000000000−i3i3003i−3i000000000000000000000
χ764-44-444-2-4-4-2-4224-444-2-20-422-2-424-22004i−4i-222-2000000000000000000000−2i2i4i−4i000000000000000000000000−2i2i00000000000000000
χ774-44-444-2-4-4-2-4224-444-2-20-422-2-424-2200−4i4i-222-20000000000000000000002i−2i−4i4i0000000000000000000000002i−2i00000000000000000
χ784-44-44-242-442-4-44-4-2-24-202-42422-2-2-40000-222-200000000000000000000000000000004-40000000000000000000000000000-2200000
χ794-44-44-242-442-4-44-4-2-24-202-42422-2-2-40000-222-20000000000000000000000000000000-4400000000000000000000000000002-200000
χ804-44-4-244-424-4-4-4-224-2-24022-4-22-4-242004i−4i-222-20000000000000000000004i−4i−2i2i000000000000000000000000−2i2i00000000000000000
χ814-44-4-244-424-4-4-4-224-2-24022-4-22-4-24200−4i4i-222-2000000000000000000000−4i4i2i−2i0000000000000000000000002i−2i00000000000000000
χ824-44-4-24-2-42-2-422-224-21-202-12122-2-2-1004i−4i1-1-11003-300003-33-3000000000−2i2i−2i2i000000000000000000000000i−i3i−3i000000000000000
χ834-44-4-24-2-42-2-422-224-21-202-12122-2-2-1004i−4i1-1-1100-330000-33-33000000000−2i2i−2i2i000000000000000000000000i−i−3i3i000000000000000
χ844-44-4-24-2-42-2-422-224-21-202-12122-2-2-100−4i4i1-1-11003-300003-33-30000000002i−2i2i−2i000000000000000000000000−ii−3i3i000000000000000
χ854-44-4-24-2-42-2-422-224-21-202-12122-2-2-100−4i4i1-1-1100-330000-33-330000000002i−2i2i−2i000000000000000000000000−ii3i−3i000000000000000
χ864-4-4444-24-42-4-22-44-44-2-2042-22-42-42-20000-2-2220000000000000000000000000004i−4i0000000000000000000000000000−2i2i000000000
χ874-4-4444-24-42-4-22-44-44-2-2042-22-42-42-20000-2-222000000000000000000000000000−4i4i00000000000000000000000000002i−2i000000000
χ884-4-444-24-2-4-424-4-442-24-20-2-4-2-4222240000-2-22200000000000000000000000004-40000000000000000000000000000-2200000000000
χ894-4-444-24-2-4-424-4-442-24-20-2-4-2-4222240000-2-2220000000000000000000000000-4400000000000000000000000000002-200000000000
χ904-4-44-24442-4-44-42-2-4-2-240-22422-42-4-20000-2-222000000000000000000000000000004i−4i0000000000000000000000000000−2i2i0000000
χ914-4-44-24442-4-44-42-2-4-2-240-22422-42-4-20000-2-22200000000000000000000000000000−4i4i00000000000000000000000000002i−2i0000000
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
χ9488-8-8-48-4-8-4484-444-8-42-40424-2-4-444-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-44-44-44-44442220-22-2-222-2-2-243−4300-11-110000−2323−232333−3−300000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-44-44-44-44442220-22-2-222-2-2-2−434300-11-11000023−2323−23−3−33300000000000000000000000000000000000000000000000000000000
χ978-88-88-4-44-8-44448-8-4-4-42044-2-44-2-42400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-484484-8-8-44-42-4-40-244-4-242-4400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-444-4444-44-42220-2-2-22-2-222-20000-111-1006-60000-33-3300000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-444-4444-44-42220-2-2-22-2-222-20000-111-100-6600003-33-300000000000000000000000000000000000000000000000000000000
χ1018-8-888-4-4-4-844-44-884-4-420-44244-24-2-4000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4844-8-444-4-8-42-40-4-2-4-244442000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-44-848-84-442-4-4024-44-24-24-4000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-4444-444-4422202-22-2-2-2-2-220000-1-1110000000033−33−333300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-4444-444-4422202-22-2-2-2-2-220000-1-11100000000−333333−3300000000000000000000000000000000000000000000000000000000

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