Finite Group Databasebeta

← Group #13169390

Character table — Group #13169390

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666633346666666661212121212121212443666121212121212121212444441212121212121212121212121212121212121212441212121212121212121212121212244441212446121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1111111-1-1111111111111-1-1-1111-1-11111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1111111-1-111111111111111-1-11-1-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11
χ51111111111111111111111111111111111111-1-11111111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-11-1-1-1-1-1
χ61111111111111111111111111111111111111-1-11111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-111-1-111-1-1-1111
χ71111111111111111111111111111111111111-1-11111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-111-1-1-1-111-111-1-11
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1111111-1-1-1-1-1-1-11-111-111-1-111-1-111-11-1-1-1-1-11-111-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1111-1-1-1-111-11-1-111111-1-11-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1111111-1-1-1-111-1-11-11-1-1-11111-1-1-1-111-11111-11-11-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111111-1-1-1-1-1-11-11-1-11-1-111-1-1111-11-11-1-1-1-111-1-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-111-1-11111-1-1-1-1-1-11111-1-1-11-111-111-1-111-1-11-11-11-1-11111-1-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-111-1-1-1-1-1-111111111-11-1111-1-1-1-111-1-111-111-1-1-11-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-111111111-1-1-1-1-1-1111111-1-11-11-1-1-11111-1-1-11-1-1111-1-1-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-1-11111-1-111-1-1-1-1-1-11111-1-11-11-1-11-1-111-1-11111-11-1-1-1111-111-1-1
χ17222222-1222-1-1-12222-1-12-1-12-122-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1022220000-1-1-1-100000000000022-1-12222-1-1-1-1-1-1-1-120000-1-100-100000
χ18222222-1222-1-1-12222-1-12-1-12-122-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1022-2-20000-1-111000000000000-2-21-122-2-2-1-1-1-11111-200001100100000
χ19222222-1222-1-1-12222-1-12-1-12-122-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-10-2-222000011-1-1000000000000-2-2-11-2-2221111-1-1-1-1-200001100100000
χ20222222-1222-1-1-12222-1-12-1-12-122-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2000011110000000000002211-2-2-2-21111111120000-1-100-100000
χ21222222-1222-1-1-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-200-1-1-1-111111111102-22-2000011-1-1000000000000-2-21-1-222-2-1-111-1-111200001100-100000
χ22222222-1222-1-1-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-200-1-1-1-111111111102-2-220000111100000000000022-1-1-22-22-1-11111-1-1-20000-1-100100000
χ23222222-1222-1-1-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111110-222-20000-1-1-1-100000000000022112-22-211-1-1-1-111-20000-1-100100000
χ24222222-1222-1-1-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111110-22-220000-1-111000000000000-2-2-112-2-2211-1-111-1-1200001100-100000
χ2522222-1222-1222-1-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-122200-1-1222200-1-122-1-1-1-1-1-1-1-10002-1-100-1-1-1-100000220000000-1-1000
χ2622222-1222-1222-1-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-12-2-200-1-122-2-200-1-122-1-1-1-1-1-1-1-1000-21100111100000-2-2000000011000
χ2722222-1222-1222-1-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-1-2220011-2-2220011-2-2111111110002-1-100-1-1-1-100000-2-2000000011000
χ2822222-1222-1222-1-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-1-2-2-20011-2-2-2-20011-2-211111111000-21100111100000220000000-1-1000
χ2922222-1222-1222-1-12-12-1-22-1-12-1-1-1-12-2-211111122-1-1-1-1-2-2-2111111-22-200-1-1-2-2-2-2001122-1-1-1-1111100021-100-1-111000002-200000001-1000
χ3022222-1222-1222-1-12-12-1-22-1-12-1-1-1-12-2-211111122-1-1-1-1-2-2-2111111-2-2200-1-1-2-222001122-1-1-1-11111000-2-110011-1-100000-220000000-11000
χ3122222-1222-1222-1-12-12-1-22-1-12-1-1-1-12-2-2111111-2-2-1-1-1-1-2-2-211111122-2001122-2-200-1-1-2-21111-1-1-1-100021-100-1-11100000-220000000-11000
χ3222222-1222-1222-1-12-12-1-22-1-12-1-1-1-12-2-2111111-2-2-1-1-1-1-2-2-21111112-220011222200-1-1-2-21111-1-1-1-1000-2-110011-1-1000002-200000001-1000
χ332222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-12002222-1-1002222-1-1-1-1-1-1-1-1-1-1002000-1-10000-1-1-1-1000220000000-1-10
χ342222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-1200-2-222-1-100-2-222-1-1-1-1-1-1-1-1-1-100-20001100001111000-2-20000000110
χ352222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1-20022-2-2110022-2-21111111111002000-1-10000-1-1-1-1000-2-20000000110
χ362222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1-200-2-2-2-21100-2-2-2-2111111111100-20001100001111000220000000-1-10
χ372222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-2111122-1-1-1-1-211-2-21111-2002-222110022-2-2-1-1-1-1-1-1111100-2000-110000-1-1110002-20000000-110
χ382222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-2111122-1-1-1-1-211-2-21111-200-22221100-2-2-2-2-1-1-1-1-1-111110020001-1000011-1-1000-2200000001-10
χ392222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-21111-2-2-1-1-1-1-211-2-211112002-2-2-2-1-1002222111111-1-1-1-100-2000-110000-1-111000-2200000001-10
χ402222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-21111-2-2-1-1-1-1-211-2-21111200-22-2-2-1-100-2-222111111-1-1-1-10020001-1000011-1-10002-20000000-110
χ412-2-22222-2-22-22-2-2-222220-22-2-22-2-2-22000000002-222-2-2000000000000002-2000000002-222-2-200002i−2i00000000000000000002i−2i2i−2i000000
χ422-2-22222-2-22-22-2-2-222220-22-2-22-2-2-22000000002-222-2-2000000000000002-2000000002-222-2-20000−2i2i0000000000000000000−2i2i−2i2i000000
χ432-2-22222-2-22-22-2-2-222220-22-2-22-2-2-2200000000-2222-2-200000000000000-2200000000-22-2-22200002i−2i00000000000000000002i−2i−2i2i000000
χ442-2-22222-2-22-22-2-2-222220-22-2-22-2-2-2200000000-2222-2-200000000000000-2200000000-22-2-2220000−2i2i0000000000000000000−2i2i2i−2i000000
χ4544444-2-244-2-2-2-2-2-24-2-214-21-2-2-2-211-244-2-2-2-2-2-2001111-2-2-2111111044000000-2-200000000000000000-2-2-20011110000000000000000000
χ4644444-2-244-2-2-2-2-2-24-2-214-21-2-2-2-211-244-2-2-2-2-2-2001111-2-2-21111110-4-4000000220000000000000000022200-1-1-1-10000000000000000000
χ4744444-2-244-2-2-2-2-2-24-2-21-4-21-2-2-2-211-2-4-4222222001111222-1-1-1-1-1-104-40000002200000000000000000-22-20011-1-10000000000000000000
χ4844444-2-244-2-2-2-2-2-24-2-21-4-21-2-2-2-211-2-4-4222222001111222-1-1-1-1-1-10-44000000-2-2000000000000000002-2200-1-1110000000000000000000
χ494444-24-2-2-24-2-2-244-2-21-241-2-21-2-2-2-21-2-244-2-2-2-2001111-211-2-2111100044000000-2-200000000000000-2000-2-200001111000000000000000
χ504444-24-2-2-24-2-2-244-2-21-241-2-21-2-2-2-21-2-244-2-2-2-2001111-211-2-21111000-4-400000022000000000000002000220000-1-1-1-1000000000000000
χ514444-24-2-2-24-2-2-244-2-21-2-41-2-21-2-2-2-2122-4-422220011112-1-122-1-1-1-10004-4000000-2-2000000000000002000-22000011-1-1000000000000000
χ524444-24-2-2-24-2-2-244-2-21-2-41-2-21-2-2-2-2122-4-422220011112-1-122-1-1-1-1000-440000002200000000000000-20002-20000-1-111000000000000000
χ534444-2-24-2-2-2444-2-2-21-2-24-2-21-211-2-2-2-2-2-2-211114411114-2-2-2-2111140000-2-2-2-20000-2-2-2-2111111110000000000000000000000000000000
χ544444-2-24-2-2-2444-2-2-21-2-24-2-21-211-2-2-2-2-2-2-21111-4-411114-2-2-2-21111-40000222200002222-1-1-1-1-1-1-1-10000000000000000000000000000000
χ554444-2-24-2-2-2444-2-2-21-2-2-4-2-21-211-2-2-22222-1-1-1-1441111-42222-1-1-1-1-40000-2-222000022-2-21111-1-1-1-10000000000000000000000000000000
χ564444-2-24-2-2-2444-2-2-21-2-2-4-2-21-211-2-2-22222-1-1-1-1-4-41111-42222-1-1-1-14000022-2-20000-2-222-1-1-1-111110000000000000000000000000000000
χ5744-4-4444-44-4-4-44-44-444404-4-4-4-444-4-400000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ5844-4-444-2-44-422-2-44-44-2-20-22-42-44-2220000000000-22-2200000000000000000023−2300000000000000000000000023−230000000000000000000
χ5944-4-444-2-44-422-2-44-44-2-20-22-42-44-2220000000000-22-22000000000000000000−2323000000000000000000000000−23230000000000000000000
χ6044-4-44-24-442-4-442-2-4-24-20422-42-2-22-40023−232323−23−2300-22-2200023−232323−23−2300000000000000000000000000000000000000000000000000000000
χ6144-4-44-24-442-4-442-2-4-24-20422-42-2-22-400−2323−23−23232300-22-22000−2323−23−23232300000000000000000000000000000000000000000000000000000000
χ6244-4-44-2-2-44222-22-2-4-2-210-2-1222-21-120023−232323−23−23001-11-1000−33−3−33300000000023−2300000000000000000000003-3−330000000000000000000
χ6344-4-44-2-2-44222-22-2-4-2-210-2-1222-21-120023−232323−23−23001-11-1000−33−3−333000000000−23230000000000000000000000-333−30000000000000000000
χ6444-4-44-2-2-44222-22-2-4-2-210-2-1222-21-1200−2323−23−232323001-11-10003−333−3−300000000023−230000000000000000000000-33−330000000000000000000
χ6544-4-44-2-2-44222-22-2-4-2-210-2-1222-21-1200−2323−23−232323001-11-10003−333−3−3000000000−232300000000000000000000003-33−30000000000000000000
χ6644-4-4-2442-2-4-4-44-442-2-240-2-4222-24-420000000000-22-220000000000000000−2i32i3000000000000−2i3−2i32i32i30000000000000000000000000000000
χ6744-4-4-2442-2-4-4-44-442-2-240-2-4222-24-420000000000-22-2200000000000000002i3−2i30000000000002i32i3−2i3−2i30000000000000000000000000000000
χ6844-4-4-2-242-22-4-442-221-2-20-22-12-11-2220023−23−3−333001-11-100023−23−3−3330000000−2i32i3000000003i−3i3i−3ii3i3−i3−i30000000000000000000000000000000
χ6944-4-4-2-242-22-4-442-221-2-20-22-12-11-2220023−23−3−333001-11-100023−23−3−33300000002i3−2i300000000−3i3i−3i3i−i3−i3i3i30000000000000000000000000000000
χ7044-4-4-2-242-22-4-442-221-2-20-22-12-11-22200−232333−3−3001-11-1000−232333−3−30000000−2i32i300000000−3i3i−3i3ii3i3−i3−i30000000000000000000000000000000
χ7144-4-4-2-242-22-4-442-221-2-20-22-12-11-22200−232333−3−3001-11-1000−232333−3−300000002i3−2i3000000003i−3i3i−3i−i3−i3i3i30000000000000000000000000000000
χ724-44-44444-4-44-4-44-4-44440-4-444-4-4-44-400000000004-4-4400000000000000000000000000000000000000000000000000000000000000000
χ734-44-444-24-4-4-2224-4-44-2-20224-2-4-42-220000000000-222-20000000000000000000023−2300000000000000000000000023−2300000000000000000
χ744-44-444-24-4-4-2224-4-44-2-20224-2-4-42-220000000000-222-200000000000000000000−2323000000000000000000000000−232300000000000000000
χ754-44-44-244-424-4-4-22-4-24-20-42-24222-2-40000000000-222-2000000000000000000000023−2300000023−2323−230000000000000000000000000000000
χ764-44-44-244-424-4-4-22-4-24-20-42-24222-2-40000000000-222-20000000000000000000000−2323000000−2323−23230000000000000000000000000000000
χ774-44-4-244-22-44-4-44-42-2-2402-4-2-222-442−2i32i300−2i32i3−2i32i300-222-20−2i32i300−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ784-44-4-244-22-44-4-44-42-2-2402-4-2-222-4422i3−2i3002i3−2i32i3−2i300-222-202i3−2i3002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ794-44-4-24-2-22-4-2224-42-21-20-12-21222-2-1−2i32i300−2i32i3−2i32i3001-1-110i3−i300i3−i3i3−i30000000000023−23000000000000000000000000−333i−3i000000000000000
χ804-44-4-24-2-22-4-2224-42-21-20-12-21222-2-1−2i32i300−2i32i3−2i32i3001-1-110i3−i300i3−i3i3−i300000000000−23230000000000000000000000003−3−3i3i000000000000000
χ814-44-4-24-2-22-4-2224-42-21-20-12-21222-2-12i3−2i3002i3−2i32i3−2i3001-1-110−i3i300−i3i3−i3i30000000000023−23000000000000000000000000−33−3i3i000000000000000
χ824-44-4-24-2-22-4-2224-42-21-20-12-21222-2-12i3−2i3002i3−2i32i3−2i3001-1-110−i3i300−i3i3−i3i300000000000−23230000000000000000000000003−33i−3i000000000000000
χ834-44-4-2-24-2224-4-4-2221-2-20221-2-1-12-22−2i32i300i3−i3i3−i3001-1-110−2i32i300i3−i3i3−i3000000000000023−23003i−3i−3i3i−33−330000000000000000000000000000000
χ844-44-4-2-24-2224-4-4-2221-2-20221-2-1-12-22−2i32i300i3−i3i3−i3001-1-110−2i32i300i3−i3i3−i30000000000000−232300−3i3i3i−3i3−33−30000000000000000000000000000000
χ854-44-4-2-24-2224-4-4-2221-2-20221-2-1-12-222i3−2i300−i3i3−i3i3001-1-1102i3−2i300−i3i3−i3i3000000000000023−2300−3i3i3i−3i−33−330000000000000000000000000000000
χ864-44-4-2-24-2224-4-4-2221-2-20221-2-1-12-222i3−2i300−i3i3−i3i3001-1-1102i3−2i300−i3i3−i3i30000000000000−2323003i−3i−3i3i3−33−30000000000000000000000000000000
χ874-4-4444-2-4-442-22-4-444-2-202-2-424-422-20000000000-2-22200000000000000000000000000000000004i−4i0000000000000000000−2i2i00000000
χ884-4-4444-2-4-442-22-4-444-2-202-2-424-422-20000000000-2-2220000000000000000000000000000000000−4i4i00000000000000000002i−2i00000000
χ894-4-444-24-4-4-2-44-4224-24-20-4-22-4-22224000000004-4-2-22200000000000000-22000000004-4-2-22200000000000000000000000000000000000
χ904-4-444-24-4-4-2-44-4224-24-20-4-22-4-2222400000000-44-2-222000000000000002-200000000-4422-2-200000000000000000000000000000000000
χ914-4-44-244224-44-4-4-4-2-2-2402422-22-4-4-2000000004-4-2-222000000000000004-400000000-22-2-22200000000000000000000000000000000000
χ924-4-44-244224-44-4-4-4-2-2-2402422-22-4-4-200000000-44-2-22200000000000000-44000000002-222-2-200000000000000000000000000000000000
χ934-4-44-2-2422-2-44-422-21-2-202-2-121-122-200003i−3i−3i3i4-411-1-1000003i−3i−3i3i00000-2200000000-2211-1-1−3i3i3i−3i0000000000000000000000000000000
χ944-4-44-2-2422-2-44-422-21-2-202-2-121-122-200003i−3i−3i3i-4411-1-1000003i−3i−3i3i000002-2000000002-2-1-1113i−3i−3i3i0000000000000000000000000000000
χ954-4-44-2-2422-2-44-422-21-2-202-2-121-122-20000−3i3i3i−3i4-411-1-100000−3i3i3i−3i00000-2200000000-2211-1-13i−3i−3i3i0000000000000000000000000000000
χ964-4-44-2-2422-2-44-422-21-2-202-2-121-122-20000−3i3i3i−3i-4411-1-100000−3i3i3i−3i000002-2000000002-2-1-111−3i3i3i−3i0000000000000000000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-48-44-4-844-4-884-42-40244-24-4-44-200000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-44-4444-44-4422202-2-2-2-222-2-20043−43−23−23232300-11-11000−232333−3−300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-44-4444-44-4422202-2-2-2-222-2-200−43432323−23−2300-11-1100023−23−3−33300000000000000000000000000000000000000000000000000000000
χ1028-88-88-4-48-84-444-44-8-4-4204-2-4-444-22400000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-444-444-4442220-2-222-2-2-22-2−4i34i3002i3−2i32i3−2i300-111-102i3−2i300−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-444-444-4442220-2-222-2-2-22-24i3−4i300−2i32i3−2i32i300-111-10−2i32i300i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-8-8-44-44448-4-4204244-44-2-2-4000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44484-44-8-8-4-42-40-2-44-2-44442000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-44-4444-42220-22-2-22-2-2-2200006i−6i−6i6i00-1-11100000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-44-4444-42220-22-2-22-2-2-220000−6i6i6i−6i00-1-111000003i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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