Finite Group Databasebeta

← Group #13172882

Character table — Group #13172882

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order12223336666666664444233366666666666666666444412121212121212123666666666666244661212121212121212121212121212121212121212121222444466612121212121212244666612121212121244122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-11111-1-111-1-111-1-11111111111-1-111-1-1111-111-1-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-111-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-11-1-111111-1-111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111
χ511111111111111111111-1111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1111111-1-111-1-1
χ611111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1111111111-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1111-1-1111-1111-1-111-1-1-1-1-1-111
χ711111111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111111111111-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-111
χ811111111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-11111-1-1-1-11111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111111111111111-111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11-1-111-1-1-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-11-1-111-1-1-1-111-1-111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-11-1-1-1-1-111-1-11111-11
χ121111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1
χ131111111111111111-1-1-1-1-1111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-111-1-1-11
χ141111111111111111-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1111-1-111-111-1-1-1-1-1-11111111-1
χ151111111111111111-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-111-1-11111-1-111-1-1-1-11111-1-111-1-1111-1-1-111-1-11-1111-1-111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-11
χ17222222-1-122-1222-12000022-1-1222222-12222-1-1-1-1-12222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1202222222-1-1-1-100220000000000220000-1-1-1-1-1-1-1-1-1-100200-1-100000000-10
χ18222222-1-122-1222-12000022-1-1222222-12222-1-1-1-1-1222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-120-22222-2-2-1-11100-2-20000000000-2-20000-1-1-11-1-1111100-200110000000010
χ19222222-1-122-1222-12000022-1-1222222-12222-1-1-1-1-12-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-202-2-2-2-22211-1-100220000000000-2-20000111-111-1-1-1-100-200110000000010
χ20222222-1-122-1222-12000022-1-1222222-12222-1-1-1-1-12-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2-2-2-2-2111100-2-20000000000220000111111111100200-1-100000000-10
χ21222222-1-122-1222-120000-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12222200000000-111111-1-1-11111-20-2-2-22222-1-1-1-100-2-200000000002200001111-1-1-1-11100-200-1-10000000010
χ22222222-1-122-1222-120000-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-1222-2-200000000-111111-1-1-11111-202-2-222-2-2-1-11100220000000000-2-20000111-1-1-111-1-1002001100000000-10
χ23222222-1-122-1222-120000-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-22200000000-111111-1-1-1111120-222-2-22211-1-100-2-20000000000-2-20000-1-1-1111-1-111002001100000000-10
χ24222222-1-122-1222-120000-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-2-2-200000000-111111-1-1-1111120222-2-2-2-2111100220000000000220000-1-1-1-11111-1-100-200-1-10000000010
χ2522222-1222-122-1-12222222-1-1222-1-1-1-1-1-1-1-1-122-1-12-10022-1-1-1-12222-12-1-122-1-1-1-1-1-1-10220000-1-10022-1-1-1-122-1-1-1-1-1-1-1-1000022000200-1-1-1-1200-1-10000-1-1000000
χ2622222-1222-122-1-12222222-1-1222-1-1-1-1-1-1-1-1-122-1-12-100-2-2-1-1-1-12222-12-1-122-1-1-1-1-1-1-102-200001100-2-2-1-11122-1-1-1-1-1-1-1-10000-2-2000-2001111-20011000011000000
χ2722222-1222-122-1-1222222-2-1-12-2-211-1-1-1111122-1-12-10022-1-1-1-12222-1-211-2-2-1-1-111110-2-20000-1-100221111-2-2-1-1-1-11111000022000-200-1-111-200110000-1-1000000
χ2822222-1222-122-1-1222222-2-1-12-2-211-1-1-1111122-1-12-100-2-2-1-1-1-12222-1-211-2-2-1-1-111110-2200001100-2-211-1-1-2-2-1-1-1-111110000-2-200020011-1-1200-1-1000011000000
χ2922222-1222-122-1-122-2-2-2-22-1-1222-1-1-1-1-1-1-1-1-122-1-12-100221111-2-2-2-2-12-1-122-1-1-1-1-1-1-10-220000-1-1002211-1-1-2-2111111110000-2-2000200-1-1-1-1-20011000011000000
χ3022222-1222-122-1-122-2-2-2-22-1-1222-1-1-1-1-1-1-1-1-122-1-12-100-2-21111-2-2-2-2-12-1-122-1-1-1-1-1-1-10-2-200001100-2-21111-2-211111111000022000-2001111200-1-10000-1-1000000
χ3122222-1222-122-1-122-2-2-2-2-2-1-12-2-211-1-1-1111122-1-12-100221111-2-2-2-2-1-211-2-2-1-1-1111102-20000-1-10022-1-111221111-1-1-1-10000-2-2000-200-1-111200-1-1000011000000
χ3222222-1222-122-1-122-2-2-2-2-2-1-12-2-211-1-1-1111122-1-12-100-2-21111-2-2-2-2-1-211-2-2-1-1-1111102200001100-2-2-1-1-1-1221111-1-1-1-100002200020011-1-1-200110000-1-1000000
χ332222-1222-122-1222-122222-12-1-1-122-1-12-1-1-1-1-1-122-1-122002222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1220-1-1-1-10022002200-1-1-1-1-1-1-1-1-1-10022002-1-10-1-100000200000-1-100-1-10000
χ342222-1222-122-1222-122222-12-1-1-122-1-12-1-1-1-1-1-122-1-1-2-2002222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-220111100-2-2002200-1-1-1-1-1-1-1-1-1-100-2-200-21101100000-2000001100110000
χ352222-1222-122-1222-12222-2-12-111-2-2-1-121111-1-122-1-122002222-1-1-1-1-1-2-2-211-1-1-11111-2-2011-1-1002200-2-20011-1-1-1-11111002200-2110-1-100000-200000-1-100110000
χ362222-1222-122-1222-12222-2-12-111-2-2-1-121111-1-122-1-1-2-2002222-1-1-1-1-1-2-2-211-1-1-111112-20-1-11100-2-200-2-20011-1-1-1-1111100-2-2002-1-1011000002000001100-1-10000
χ372222-1222-122-1222-1-2-2-2-22-12-1-1-122-1-12-1-1-1-1-1-122-1-12200-2-2-2-21111-1222-1-1-1-1-1-1-1-1-12-20-1-1-1-1002200-2-200111111111100-2-2002-1-10-1-100000-2000001100110000
χ382222-1222-122-1222-1-2-2-2-22-12-1-1-122-1-12-1-1-1-1-1-122-1-1-2-200-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-2-20111100-2-200-2-2001111111111002200-21101100000200000-1-100-1-10000
χ392222-1222-122-1222-1-2-2-2-2-2-12-111-2-2-1-121111-1-122-1-12200-2-2-2-21111-1-2-2-211-1-1-11111-22011-1-10022002200-1-11111-1-1-1-100-2-200-2110-1-1000002000001100-1-10000
χ402222-1222-122-1222-1-2-2-2-2-2-12-111-2-2-1-121111-1-122-1-1-2-200-2-2-2-21111-1-2-2-211-1-1-11111220-1-11100-2-2002200-1-11111-1-1-1-10022002-1-101100000-200000-1-100110000
χ4122-2-2222-2222-2-2-2-2-22i2i−2i−2i022200002-2-20000-2-22-22-22-2002i2i−2i−2i2i2i−2i−2i2000002-2-20000000002-2002-2000000002i2i−2i−2i0000002i−2i0000002-2000000000002i−2i00000000
χ4222-2-2222-2222-2-2-2-2-22i2i−2i−2i022200002-2-20000-2-22-22-2-22002i2i−2i−2i2i2i−2i−2i2000002-2-2000000000-2200-22000000002i2i−2i−2i000000−2i2i000000-2200000000000−2i2i00000000
χ4322-2-2222-2222-2-2-2-2-2−2i−2i2i2i022200002-2-20000-2-22-22-22-200−2i−2i2i2i−2i−2i2i2i2000002-2-20000000002-2002-200000000−2i−2i2i2i000000−2i2i0000002-200000000000−2i2i00000000
χ4422-2-2222-2222-2-2-2-2-2−2i−2i2i2i022200002-2-20000-2-22-22-2-2200−2i−2i2i2i−2i−2i2i2i2000002-2-2000000000-2200-2200000000−2i−2i2i2i0000002i−2i000000-22000000000002i−2i00000000
χ4522-2-2-122-2-1221-2-2-212i2i−2i−2i0-12-1−i3i300-11-2−i3−i3i3i3112-2-112-2002i2i−2i−2i−i−iii-1000−i3i3-111−i3−i3i3i3000−i3i3-11002-20000003−3−i−iii33−3−3002i−2i000−i3i30-1100000000000−ii003−30000
χ4622-2-2-122-2-1221-2-2-212i2i−2i−2i0-12-1−i3i300-11-2−i3−i3i3i3112-2-11-22002i2i−2i−2i−i−iii-1000−i3i3-111−i3−i3i3i3000i3−i31-100-220000003−3−i−iii33−3−300−2i2i000i3−i301-100000000000i−i00−330000
χ4722-2-2-122-2-1221-2-2-212i2i−2i−2i0-12-1i3−i300-11-2i3i3−i3−i3112-2-112-2002i2i−2i−2i−i−iii-1000i3−i3-111i3i3−i3−i3000i3−i3-11002-2000000−33−i−iii−3−333002i−2i000i3−i30-1100000000000−ii00−330000
χ4822-2-2-122-2-1221-2-2-212i2i−2i−2i0-12-1i3−i300-11-2i3i3−i3−i3112-2-11-22002i2i−2i−2i−i−iii-1000i3−i3-111i3i3−i3−i3000−i3i31-100-22000000−33−i−iii−3−33300−2i2i000−i3i301-100000000000i−i003−30000
χ4922-2-2-122-2-1221-2-2-21−2i−2i2i2i0-12-1−i3i300-11-2−i3−i3i3i3112-2-112-200−2i−2i2i2iii−i−i-1000−i3i3-111−i3−i3i3i3000−i3i3-11002-2000000−33ii−i−i−3−33300−2i2i000−i3i30-1100000000000i−i00−330000
χ5022-2-2-122-2-1221-2-2-21−2i−2i2i2i0-12-1−i3i300-11-2−i3−i3i3i3112-2-11-2200−2i−2i2i2iii−i−i-1000−i3i3-111−i3−i3i3i3000i3−i31-100-22000000−33ii−i−i−3−333002i−2i000i3−i301-100000000000−ii003−30000
χ5122-2-2-122-2-1221-2-2-21−2i−2i2i2i0-12-1i3−i300-11-2i3i3−i3−i3112-2-112-200−2i−2i2i2iii−i−i-1000i3−i3-111i3i3−i3−i3000i3−i3-11002-20000003−3ii−i−i33−3−300−2i2i000i3−i30-1100000000000i−i003−30000
χ5222-2-2-122-2-1221-2-2-21−2i−2i2i2i0-12-1i3−i300-11-2i3i3−i3−i3112-2-11-2200−2i−2i2i2iii−i−i-1000i3−i3-111i3i3−i3−i3000−i3i31-100-220000003−3ii−i−i33−3−3002i−2i000−i3i301-100000000000−ii00−330000
χ532-22-22222-2-2-222-2-2-22i−2i2i−2i02220000-22200002-2-2-2-2-2002i−2i2i−2i2i−2i2i−2i2i−2i200000-22-2000000000002i−2i002i−2i0000002i−2i2i−2i000000002-20000002i−2i000000000002-2000000
χ542-22-22222-2-2-222-2-2-22i−2i2i−2i02220000-22200002-2-2-2-2-200−2i2i2i−2i2i−2i2i−2i2i−2i200000-22-200000000000−2i2i00−2i2i0000002i−2i2i−2i00000000-22000000−2i2i00000000000-22000000
χ552-22-22222-2-2-222-2-2-2−2i2i−2i2i02220000-22200002-2-2-2-2-2002i−2i−2i2i−2i2i−2i2i−2i2i200000-22-2000000000002i−2i002i−2i000000−2i2i−2i2i00000000-220000002i−2i00000000000-22000000
χ562-22-22222-2-2-222-2-2-2−2i2i−2i2i02220000-22200002-2-2-2-2-200−2i2i−2i2i−2i2i−2i2i−2i2i200000-22-200000000000−2i2i00−2i2i000000−2i2i−2i2i000000002-2000000−2i2i000000000002-2000000
χ572-22-22-122-21-22-11-2-22i−2i2i−2i0-1-1200−i3i31-1-1−i3i3−i3i32-211-21002i−2i−ii−ii2i−2i2i−2i-10−i3i3001-11−i3i3−i3i30000000−ii002i−2i3−33−300−ii−ii3−33−300002-2000000−ii3−3000−i3i30000-11000000
χ582-22-22-122-21-22-11-2-22i−2i2i−2i0-1-1200−i3i31-1-1−i3i3−i3i32-211-2100−2i2i−ii−ii2i−2i2i−2i-10−i3i3001-11−i3i3−i3i30000000i−i00−2i2i3−3−3300−ii−ii3−33−30000-22000000i−i−33000i3−i300001-1000000
χ592-22-22-122-21-22-11-2-22i−2i2i−2i0-1-1200i3−i31-1-1i3−i3i3−i32-211-21002i−2i−ii−ii2i−2i2i−2i-10i3−i3001-11i3−i3i3−i30000000−ii002i−2i−33−3300−ii−ii−33−3300002-2000000−ii−33000i3−i30000-11000000
χ602-22-22-122-21-22-11-2-22i−2i2i−2i0-1-1200i3−i31-1-1i3−i3i3−i32-211-2100−2i2i−ii−ii2i−2i2i−2i-10i3−i3001-11i3−i3i3−i30000000i−i00−2i2i−333−300−ii−ii−33−330000-22000000i−i3−3000−i3i300001-1000000
χ612-22-22-122-21-22-11-2-2−2i2i−2i2i0-1-1200−i3i31-1-1−i3i3−i3i32-211-21002i−2ii−ii−i−2i2i−2i2i-10−i3i3001-11−i3i3−i3i30000000−ii002i−2i−333−300i−ii−i−33−330000-22000000−ii3−3000i3−i300001-1000000
χ622-22-22-122-21-22-11-2-2−2i2i−2i2i0-1-1200−i3i31-1-1−i3i3−i3i32-211-2100−2i2ii−ii−i−2i2i−2i2i-10−i3i3001-11−i3i3−i3i30000000i−i00−2i2i−33−3300i−ii−i−33−3300002-2000000i−i−33000−i3i30000-11000000
χ632-22-22-122-21-22-11-2-2−2i2i−2i2i0-1-1200i3−i31-1-1i3−i3i3−i32-211-21002i−2ii−ii−i−2i2i−2i2i-10i3−i3001-11i3−i3i3−i30000000−ii002i−2i3−3−3300i−ii−i3−33−30000-22000000−ii−33000−i3i300001-1000000
χ642-22-22-122-21-22-11-2-2−2i2i−2i2i0-1-1200i3−i31-1-1i3−i3i3−i32-211-2100−2i2ii−ii−i−2i2i−2i2i-10i3−i3001-11i3−i3i3−i30000000i−i00−2i2i3−33−300i−ii−i3−33−300002-2000000i−i3−3000i3−i30000-11000000
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χ662-2-22222-2-2-2-2-2-22222-2-2202220000-2-2-20000-22-22-2200002-2-222-2-22200000-2-22000000000000000000000002-2-220000-220000000000000000000-22000000-2200
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Here i is the imaginary unit (i² = −1).