Finite Group Databasebeta

← Group #13169275

Character table — Group #13169275

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666633346666666661212121212121212444444441212121212121212366612121212121212121244121212121212121212121212121212121212121212121212222212121212121212121212224466666612121212644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-111-1-111-1-111-1-111111111111111-1-11-111-1-111-1-1-1-11-111-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-11-1-111-1-111-1-111111111111111-1-111-11-1-111-1-111-1-1-11-1-111-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111
χ51111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-11-1-111-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-11-111-1-1-1-111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-111-1-111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-1-1-11111-11-1-11111-1-1-11-1-11111-1-1-1-1-1-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-111-1111-1-1-1-1-1-111111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1111111-1-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111-11-1-1-1111111-1-1-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1111-1-1-1-1-1-1111111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-1-1-1111111111-111-1-1-1-111-11-1-11111-1-1-1-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-11-1-1111-1-111-1-111-1-11
χ17222222-1-1-12222-1222-1-12-1-1222-1-1-1-1222222220000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-122000000-1-10000-100
χ18222222-1-1-12222-1222-1-12-1-1222-1-1-1-122222222000022-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-222-2-222-2-2-1-1110000000000000000-11-1-111-1-111-2-2000000110000100
χ19222222-1-1-12222-1222-1-12-1-1222-1-1-1-1222222220000-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-222-2-22211-1-100000000000000001-111-1-111-1-1-2-2000000110000100
χ20222222-1-1-12222-1222-1-12-1-1222-1-1-1-1222222220000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-211110000000000000000111111111122000000-1-10000-100
χ21222222-1-1-12222-1222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-20000222200000000-1-1-1-1111111111-2-22222-2-2-2-2-1-1-1-10000000000000000111111-1-1-1-12-2000000-1-10000100
χ22222222-1-1-12222-1222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-2000022-2-200000000-1-1-1-1111111111-2222-2-2-2-222-1-11100000000000000001-111-1-1-1-111-22000000110000-100
χ23222222-1-1-12222-1222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-20000-2-22200000000-1-1-1-11111111112-2-2-22222-2-211-1-10000000000000000-11-1-11111-1-1-22000000110000-100
χ24222222-1-1-12222-1222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-200000000-1-1-1-111111111122-2-2-2-2222211110000000000000000-1-1-1-1-1-111112-2000000-1-10000100
χ2522222-12222-12-122-1-12-122-1-1-1-12-12-122-1-1-1-1-1-122220022-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10200-1-100-1-1002222-1-1-1-1-1-1-1-1-1-100220200-1-100-1-1000200-1-10000-1-1000
χ2622222-12222-12-122-1-12-122-1-1-1-12-12-122-1-1-1-1-1-1222200-2-2-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-20011001100-2-222-1-1-1-1-1-1-1-1-1-100-2-20-200110011000-20011000011000
χ2722222-12222-12-122-1-12-122-1-1-1-12-12-122-1-1-1-1-1-1-2-2-2-200221111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10200-1-100-1-10022-2-2111111111100-2-20200-1-100-1-1000-20011000011000
χ2822222-12222-12-122-1-12-122-1-1-1-12-12-122-1-1-1-1-1-1-2-2-2-200-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-20011001100-2-2-2-2111111111100220-200110011000200-1-10000-1-1000
χ2922222-12222-12-122-1-12-1-22-1-1-1-12-12-1-2-211111122-2-20022-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-200-1-1001100222211-1-1-1-1111100-2-20-2001100-1-1000200110000-1-1000
χ3022222-12222-12-122-1-12-1-22-1-1-1-12-12-1-2-211111122-2-200-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-211111102001100-1-100-2-22211-1-1-1-1111100220200-1-10011000-200-1-1000011000
χ3122222-12222-12-122-1-12-1-22-1-1-1-12-12-1-2-2111111-2-222002211112222-1-1-1-1-2-2-21111110-200-1-100110022-2-2-1-11111-1-1-1-100220-2001100-1-1000-200-1-1000011000
χ3222222-12222-12-122-1-12-1-22-1-1-1-12-12-1-2-2111111-2-22200-2-211112222-1-1-1-1-2-2-211111102001100-1-100-2-2-2-2-1-11111-1-1-1-100-2-20200-1-10011000200110000-1-1000
χ332222-12222-12-122-12-1-122-12-1-1-1-12-12-1-122-1-1-1-1222222002222-1-1-1-1-1-1-1-12-1-122-1-1-1-120-1-100-1-1002200-1-122-1-1-1-1-1-1-1-1220020-1-100-1-1000020-1-10000-1-100000
χ342222-12222-12-122-12-1-122-12-1-1-1-12-12-1-122-1-1-1-12222-2-2002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-2011001100-2-200-1-122-1-1-1-1-1-1-1-1-2-200-201100110000-201100001100000
χ352222-12222-12-122-12-1-122-12-1-1-1-12-12-1-122-1-1-1-1-2-2-2-22200-2-2-2-21111-1-1-1-12-1-122-1-1-1-120-1-100-1-100220011-2-211111111-2-20020-1-100-1-10000-201100001100000
χ362222-12222-12-122-12-1-122-12-1-1-1-12-12-1-122-1-1-1-1-2-2-2-2-2-200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-2011001100-2-20011-2-2111111112200-20110011000020-1-10000-1-100000
χ372222-12222-12-122-12-1-12-2-12-1-1-1-12-1211-2-2111122-2-2220022221111-1-1-1-1-211-2-21111-20-1-10011002200-1-1-2-2-1-1-1-111112200-201100-1-10000-20-1-100001100000
χ382222-12222-12-122-12-1-12-2-12-1-1-1-12-1211-2-2111122-2-2-2-20022221111-1-1-1-1-211-2-21111201100-1-100-2-200-1-1-2-2-1-1-1-11111-2-20020-1-10011000020110000-1-100000
χ392222-12222-12-122-12-1-12-2-12-1-1-1-12-1211-2-21111-2-2222200-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-20-1-1001100220011221111-1-1-1-1-2-200-201100-1-1000020110000-1-100000
χ402222-12222-12-122-12-1-12-2-12-1-1-1-12-1211-2-21111-2-222-2-200-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111201100-1-100-2-20011221111-1-1-1-1220020-1-100110000-20-1-100001100000
χ4122-2-22222-2-2-22-2-2-222220-22-22-22-2-2-2000000002i−2i002i−2i002i2i−2i−2i000022-2-2000000000002i−2i0000002i−2i002i−2i002i2i−2i−2i00002-2000000002i−2i0000002-200000000000
χ4222-2-22222-2-2-22-2-2-222220-22-22-22-2-2-2000000002i−2i00−2i2i002i2i−2i−2i000022-2-200000000000−2i2i000000−2i2i002i−2i002i2i−2i−2i0000-2200000000−2i2i000000-2200000000000
χ4322-2-22222-2-2-22-2-2-222220-22-22-22-2-2-200000000−2i2i002i−2i00−2i−2i2i2i000022-2-2000000000002i−2i0000002i−2i00−2i2i00−2i−2i2i2i0000-22000000002i−2i000000-2200000000000
χ4422-2-22222-2-2-22-2-2-222220-22-22-22-2-2-200000000−2i2i00−2i2i00−2i−2i2i2i000022-2-200000000000−2i2i000000−2i2i00−2i2i00−2i−2i2i2i00002-200000000−2i2i0000002-200000000000
χ4522-2-2-1222-21-2-1-2-212-1-120121-11-1-21-23−30033−3−32i−2i002i−2i002i2i−2i−2i−i3−i3i3i3-1-11103−30033−3−300−ii00−i3i3002i−2i00−ii00−i−iii−i3−i3i3i32-20000−i3i300−ii000000-1100003−300000
χ4622-2-2-1222-21-2-1-2-212-1-120121-11-1-21-23−30033−3−32i−2i00−2i2i002i2i−2i−2i−i3−i3i3i3-1-11103−30033−3−300i−i00i3−i300−2i2i00−ii00−i−iii−i3−i3i3i3-220000i3−i300i−i0000001-10000−3300000
χ4722-2-2-1222-21-2-1-2-212-1-120121-11-1-21-23−30033−3−3−2i2i002i−2i00−2i−2i2i2ii3i3−i3−i3-1-11103−30033−3−300−ii00−i3i3002i−2i00i−i00ii−i−ii3i3−i3−i3-220000−i3i300−ii0000001-10000−3300000
χ4822-2-2-1222-21-2-1-2-212-1-120121-11-1-21-23−30033−3−3−2i2i00−2i2i00−2i−2i2i2ii3i3−i3−i3-1-11103−30033−3−300i−i00i3−i300−2i2i00i−i00ii−i−ii3i3−i3−i32-20000i3−i300i−i000000-1100003−300000
χ4922-2-2-1222-21-2-1-2-212-1-120121-11-1-21-2−3300−3−3332i−2i002i−2i002i2i−2i−2ii3i3−i3−i3-1-1110−3300−3−33300−ii00i3−i3002i−2i00−ii00−i−iiii3i3−i3−i32-20000i3−i300−ii000000-110000−3300000
χ5022-2-2-1222-21-2-1-2-212-1-120121-11-1-21-2−3300−3−3332i−2i00−2i2i002i2i−2i−2ii3i3−i3−i3-1-1110−3300−3−33300i−i00−i3i300−2i2i00−ii00−i−iiii3i3−i3−i3-220000−i3i300i−i0000001-100003−300000
χ5122-2-2-1222-21-2-1-2-212-1-120121-11-1-21-2−3300−3−333−2i2i002i−2i00−2i−2i2i2i−i3−i3i3i3-1-1110−3300−3−33300−ii00i3−i3002i−2i00i−i00ii−i−i−i3−i3i3i3-220000i3−i300−ii0000001-100003−300000
χ5222-2-2-1222-21-2-1-2-212-1-120121-11-1-21-2−3300−3−333−2i2i00−2i2i00−2i−2i2i2i−i3−i3i3i3-1-1110−3300−3−33300i−i00−i3i300−2i2i00i−i00ii−i−i−i3−i3i3i32-20000−i3i300i−i000000-110000−3300000
χ532-22-2222-22-2-2-22-22-222202-2-2-22-22-2-200000000002i−2i002i−2i00002i−2i2i−2i2-22-200000000000002i−2i0000002i−2i002i−2i00002i−2i2i−2i002-2000000002i−2i0000002-2000000000
χ542-22-2222-22-2-2-22-22-222202-2-2-22-22-2-200000000002i−2i00−2i2i00002i−2i2i−2i2-22-20000000000000−2i2i000000−2i2i002i−2i00002i−2i2i−2i00-2200000000−2i2i000000-22000000000
χ552-22-2222-22-2-2-22-22-222202-2-2-22-22-2-20000000000−2i2i002i−2i0000−2i2i−2i2i2-22-200000000000002i−2i0000002i−2i00−2i2i0000−2i2i−2i2i00-22000000002i−2i000000-22000000000
χ562-22-2222-22-2-2-22-22-222202-2-2-22-22-2-20000000000−2i2i00−2i2i0000−2i2i−2i2i2-22-20000000000000−2i2i000000−2i2i00−2i2i0000−2i2i−2i2i002-200000000−2i2i0000002-2000000000
χ572-22-22-12-22-21-2-1-221-12-102111-1-2-1-21003−33−33−3002i−2i002i−2i−i3i3−i3i32i−2i2i−2i-11-110003−33−33−30000−ii00−i3i3002i−2i00−ii−i3i3−i3i3−ii−ii002-20000−i3i300−ii000000-1100003−3000
χ582-22-22-12-22-21-2-1-221-12-102111-1-2-1-21003−33−33−3002i−2i00−2i2i−i3i3−i3i32i−2i2i−2i-11-110003−33−33−30000i−i00i3−i300−2i2i00−ii−i3i3−i3i3−ii−ii00-220000i3−i300i−i0000001-10000−33000
χ592-22-22-12-22-21-2-1-221-12-102111-1-2-1-21003−33−33−300−2i2i002i−2ii3−i3i3−i3−2i2i−2i2i-11-110003−33−33−30000−ii00−i3i3002i−2i00i−ii3−i3i3−i3i−ii−i00-220000−i3i300−ii0000001-10000−33000
χ602-22-22-12-22-21-2-1-221-12-102111-1-2-1-21003−33−33−300−2i2i00−2i2ii3−i3i3−i3−2i2i−2i2i-11-110003−33−33−30000i−i00i3−i300−2i2i00i−ii3−i3i3−i3i−ii−i002-20000i3−i300i−i000000-1100003−3000
χ612-22-22-12-22-21-2-1-221-12-102111-1-2-1-2100−33−33−33002i−2i002i−2ii3−i3i3−i32i−2i2i−2i-11-11000−33−33−330000−ii00i3−i3002i−2i00−iii3−i3i3−i3−ii−ii002-20000i3−i300−ii000000-110000−33000
χ622-22-22-12-22-21-2-1-221-12-102111-1-2-1-2100−33−33−33002i−2i00−2i2ii3−i3i3−i32i−2i2i−2i-11-11000−33−33−330000i−i00−i3i300−2i2i00−iii3−i3i3−i3−ii−ii00-220000−i3i300i−i0000001-100003−3000
χ632-22-22-12-22-21-2-1-221-12-102111-1-2-1-2100−33−33−3300−2i2i002i−2i−i3i3−i3i3−2i2i−2i2i-11-11000−33−33−330000−ii00i3−i3002i−2i00i−i−i3i3−i3i3i−ii−i00-220000i3−i300−ii0000001-100003−3000
χ642-22-22-12-22-21-2-1-221-12-102111-1-2-1-2100−33−33−3300−2i2i00−2i2i−i3i3−i3i3−2i2i−2i2i-11-11000−33−33−330000i−i00−i3i300−2i2i00i−i−i3i3−i3i3i−ii−i002-20000−i3i300i−i000000-110000−33000
χ6544444-2-2-2-24-24-2-24-2-2-214-21-2-2-2-21-2144-2-2-2-2-2-200000044000000001111-2-2-21111110400-2-200-2-200-2-200000000000000000-20011001100000000000000000
χ6644444-2-2-2-24-24-2-24-2-2-214-21-2-2-2-21-2144-2-2-2-2-2-2000000-4-4000000001111-2-2-21111110-400220022002200000000000000000200-1-100-1-100000000000000000
χ6744444-2-2-2-24-24-2-24-2-2-21-4-21-2-2-2-21-21-4-422222200000044000000001111222-1-1-1-1-1-10-400-2-2002200-2-200000000000000000200-1-1001100000000000000000
χ6844444-2-2-2-24-24-2-24-2-2-21-4-21-2-2-2-21-21-4-4222222000000-4-4000000001111222-1-1-1-1-1-104002200-2-2002200000000000000000-2001100-1-100000000000000000
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χ1238-8-88-4-4-444-4-444-4442220-2-22-2-2-2-2220000-666-60000000000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000

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