Finite Group Databasebeta

← Group #13172894

Character table — Group #13172894

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order122233366666666644442333666666666666666664444121212121212121236666666666664441212121212121212121212121212121212121212121212124444441212121212121212121222266661212121212122264
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-11111-1-1-1-1111111-1-11111111111-1-1-1-11-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111111111-11-1-1-1-111111111-1-11111111111-1-111-1-1-11-1-1-1-11111-11-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ611111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1111111111-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1111-1-1-1-111-111-1-11111-1-1-1-1-1-111
χ711111111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111111111111-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11-1-1-11111-1-11-1111-1-1-1-111-1-1-1-111
χ811111111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-11111-1-1-1-11111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-111-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-11-1-1-111-1-111-1-111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-111-1-111-1-1-1-111-11
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
χ131111111111111111-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-11111-1-1-1-111-1-1-11
χ141111111111111111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-111111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1111-1-1-1-1111-1111-1-1-1-111-1-1111-1
χ151111111111111111-1-1-1-1-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-111-1-11111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-1222-122-1-12222222-1-122-1-12-1-1-1-1-1-1-122-1-1-100222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1202000022-1-122-1-100-1-1-1-1-1-1-1-1-1-1002200020000-1-1-1-102000-1-100-1-1000000
χ18222222-1222-122-1-12222222-1-122-1-12-1-1-1-1-1-1-122-1-1-100-2-22222-1-1-1-1-1222-1-1-1-1-1-1-1-1-120-20000-2-21122-1-10011-1-1-1-1-1-1-1-100-2-2000-2000011110-2000110011000000
χ19222222-1222-122-1-122222-22-1-1-2-2112-1-1-1111122-1-1-100222222-1-1-1-1-1-2-2-211-1-1-11111-20-2000022-1-1-2-2110011-1-1-1-111110022000-20000-1-1110-20001100-1-1000000
χ20222222-1222-122-1-122222-22-1-1-2-2112-1-1-1111122-1-1-100-2-22222-1-1-1-1-1-2-2-211-1-1-11111-2020000-2-211-2-21100-1-1-1-1-1-1111100-2-20002000011-1-102000-1-10011000000
χ21222222-1222-122-1-12-2-2-2-222-1-122-1-12-1-1-1-1-1-1-122-1-1-10022-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-202000022-1-1-2-21100-1-11111111100-2-200020000-1-1-1-10-2000110011000000
χ22222222-1222-122-1-12-2-2-2-222-1-122-1-12-1-1-1-1-1-1-122-1-1-100-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-20-20000-2-211-2-2110011111111110022000-20000111102000-1-100-1-1000000
χ23222222-1222-122-1-12-2-2-2-2-22-1-1-2-2112-1-1-1111122-1-1-10022-2-2-2-21111-1-2-2-211-1-1-1111120-2000022-1-122-1-100111111-1-1-1-100-2-2000-20000-1-11102000-1-10011000000
χ24222222-1222-122-1-12-2-2-2-2-22-1-1-2-2112-1-1-1111122-1-1-100-2-2-2-2-2-21111-1-2-2-211-1-1-111112020000-2-21122-1-100-1-11111-1-1-1-100220002000011-1-10-20001100-1-1000000
χ2522222-1222-12-1-122222222-12-1-1-122-12-1-1-1-1-1-1-1-122-12200-1-1-1-12222-12-1-122-1-1-1-1-1-1-122022-1-10000-1-122-1-100-1-1-1-1-1-1-1-122000020-1-1-1-10000200-1-100-1-100000000
χ2622222-1222-12-1-122222222-12-1-1-122-12-1-1-1-1-1-1-1-122-1-2-200-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-20-2-2110000-1-1221100-1-1-1-1-1-1-1-1-2-20000-2011110000-20011001100000000
χ2722222-1222-12-1-12222222-2-12-111-2-2-12-1-11111-1-122-12200-1-1-1-12222-1-211-2-2-1-1-11111-2-2022-1-1000011-2-21100-1-1-1-11111220000-20-1-1110000-2001100-1-100000000
χ2822222-1222-12-1-12222222-2-12-111-2-2-12-1-11111-1-122-1-2-200-1-1-1-12222-1-211-2-2-1-1-11111-220-2-211000011-2-2-1-100-1-1-1-11111-2-200002011-1-10000200-1-1001100000000
χ2922222-1222-12-1-1222-2-2-2-22-12-1-1-122-12-1-1-1-1-1-1-1-122-122001111-2-2-2-2-12-1-122-1-1-1-1-1-1-1-22022-1-1000011-2-2-1-10011111111-2-2000020-1-1-1-10000-20011001100000000
χ3022222-1222-12-1-1222-2-2-2-22-12-1-1-122-12-1-1-1-1-1-1-1-122-1-2-2001111-2-2-2-2-12-1-122-1-1-1-1-1-1-1-2-20-2-211000011-2-2110011111111220000-2011110000200-1-100-1-100000000
χ3122222-1222-12-1-1222-2-2-2-2-2-12-111-2-2-12-1-11111-1-122-122001111-2-2-2-2-1-211-2-2-1-1-111112-2022-1-10000-1-12211001111-1-1-1-1-2-20000-20-1-1110000200-1-1001100000000
χ3222222-1222-12-1-1222-2-2-2-2-2-12-111-2-2-12-1-11111-1-122-1-2-2001111-2-2-2-2-1-211-2-2-1-1-11111220-2-2110000-1-122-1-1001111-1-1-1-12200002011-1-10000-2001100-1-100000000
χ332222-122-1-1222222-100002-1-122222-1-1222222-1-1-1-12222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1022-1-122-1-1220000222200000000000022-1-1-1-1-1-1-1-1-1-100200000000-1-100-10
χ342222-122-1-1222222-100002-1-122222-1-1222222-1-1-1-1222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-102-2-1-12211-2-2000022-2-2000000000000-2-2-11-1-1-1-1111100-200000000110010
χ352222-122-1-1222222-100002-1-122222-1-1222222-1-1-1-12-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2211-2-2-1-1220000-2-222000000000000-2-21-11111-1-1-1-100-200000000110010
χ362222-122-1-1222222-100002-1-122222-1-1222222-1-1-1-12-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-211-2-211-2-20000-2-2-2-200000000000022111111111100200000000-1-100-10
χ372222-122-1-1222222-10000-2-1-12-2-2-2-2-1-122-2-2-2-2-1-1-1-12222200000000-111111-1-1-111110-2-2-1-122-1-1220000-2-2-2-20000000000002211-1-111-1-11100-200000000-1-10010
χ382222-122-1-1222222-10000-2-1-12-2-2-2-2-1-122-2-2-2-2-1-1-1-1222-2-200000000-111111-1-1-111110-22-1-12211-2-20000-2-222000000000000-2-21-1-1-11111-1-1002000000001100-10
χ392222-122-1-1222222-10000-2-1-12-2-2-2-2-1-122-2-2-2-2-1-1-1-12-2-22200000000-111111-1-1-1111102-211-2-2-1-122000022-2-2000000000000-2-2-1111-1-1-1-111002000000001100-10
χ402222-122-1-1222222-10000-2-1-12-2-2-2-2-1-122-2-2-2-2-1-1-1-12-2-2-2-200000000-111111-1-1-1111102211-2-211-2-20000222200000000000022-1-111-1-111-1-100-200000000-1-10010
χ4122-2-22222-22-2-2-22-2-22i2i−2i−2i02220000-222-200002-2-2-2-2002i−2i2i2i−2i−2i2i2i−2i−2i2000002-2-2000000000002i−2i2i−2i000000002i2i−2i−2i0000002-2000000002i−2i000000000002-2000000
χ4222-2-22222-22-2-2-22-2-22i2i−2i−2i02220000-222-200002-2-2-2-200−2i2i2i2i−2i−2i2i2i−2i−2i2000002-2-200000000000−2i2i−2i2i000000002i2i−2i−2i000000-2200000000−2i2i00000000000-22000000
χ4322-2-22222-22-2-2-22-2-2−2i−2i2i2i02220000-222-200002-2-2-2-2002i−2i−2i−2i2i2i−2i−2i2i2i2000002-2-2000000000002i−2i2i−2i00000000−2i−2i2i2i000000-22000000002i−2i00000000000-22000000
χ4422-2-22222-22-2-2-22-2-2−2i−2i2i2i02220000-222-200002-2-2-2-200−2i2i−2i−2i2i2i−2i−2i2i2i2000002-2-200000000000−2i2i−2i2i00000000−2i−2i2i2i0000002-200000000−2i2i000000000002-2000000
χ4522-2-222-12-221-2-2-11-22i2i−2i−2i02-1-100−i3i3-2-1-11−i3−i3i3i32-2111002i−2i2i2i−2i−2i−i−iii-1000−i3i3-111−i3−i3i3i300000002i−2i−ii003−3003−3−i−iii33−3−3002-200000000−ii3−300000−i3i300-11000000
χ4622-2-222-12-221-2-2-11-22i2i−2i−2i02-1-100−i3i3-2-1-11−i3−i3i3i32-211100−2i2i2i2i−2i−2i−i−iii-1000−i3i3-111−i3−i3i3i30000000−2i2ii−i003−300−33−i−iii33−3−300-2200000000i−i−3300000i3−i3001-1000000
χ4722-2-222-12-221-2-2-11-22i2i−2i−2i02-1-100i3−i3-2-1-11i3i3−i3−i32-2111002i−2i2i2i−2i−2i−i−iii-1000i3−i3-111i3i3−i3−i300000002i−2i−ii00−3300−33−i−iii−3−333002-200000000−ii−3300000i3−i300-11000000
χ4822-2-222-12-221-2-2-11-22i2i−2i−2i02-1-100i3−i3-2-1-11i3i3−i3−i32-211100−2i2i2i2i−2i−2i−i−iii-1000i3−i3-111i3i3−i3−i30000000−2i2ii−i00−33003−3−i−iii−3−33300-2200000000i−i3−300000−i3i3001-1000000
χ4922-2-222-12-221-2-2-11-2−2i−2i2i2i02-1-100−i3i3-2-1-11−i3−i3i3i32-2111002i−2i−2i−2i2i2iii−i−i-1000−i3i3-111−i3−i3i3i300000002i−2i−ii00−33003−3ii−i−i−3−33300-2200000000−ii3−300000i3−i3001-1000000
χ5022-2-222-12-221-2-2-11-2−2i−2i2i2i02-1-100−i3i3-2-1-11−i3−i3i3i32-211100−2i2i−2i−2i2i2iii−i−i-1000−i3i3-111−i3−i3i3i30000000−2i2ii−i00−3300−33ii−i−i−3−333002-200000000i−i−3300000−i3i300-11000000
χ5122-2-222-12-221-2-2-11-2−2i−2i2i2i02-1-100i3−i3-2-1-11i3i3−i3−i32-2111002i−2i−2i−2i2i2iii−i−i-1000i3−i3-111i3i3−i3−i300000002i−2i−ii003−300−33ii−i−i33−3−300-2200000000−ii−3300000−i3i3001-1000000
χ5222-2-222-12-221-2-2-11-2−2i−2i2i2i02-1-100i3−i3-2-1-11i3i3−i3−i32-211100−2i2i−2i−2i2i2iii−i−i-1000i3−i3-111i3i3−i3−i30000000−2i2ii−i003−3003−3ii−i−i33−3−3002-200000000i−i3−300000i3−i300-11000000
χ532-22-2222-22-222-2-2-2-22i−2i2i−2i022200002-2-220000-2-22-2-22i−2i002i−2i2i−2i2i−2i2i−2i200000-22-200000002i−2i2i−2i0000000000002i−2i2i−2i00002-20000002i−2i00000000000002-200000000
χ542-22-2222-22-222-2-2-2-22i−2i2i−2i022200002-2-220000-2-22-2-2−2i2i002i−2i2i−2i2i−2i2i−2i200000-22-20000000−2i2i−2i2i0000000000002i−2i2i−2i0000-22000000−2i2i0000000000000-2200000000
χ552-22-2222-22-222-2-2-2-2−2i2i−2i2i022200002-2-220000-2-22-2-22i−2i00−2i2i−2i2i−2i2i−2i2i200000-22-200000002i−2i2i−2i000000000000−2i2i−2i2i0000-220000002i−2i0000000000000-2200000000
χ562-22-2222-22-222-2-2-2-2−2i2i−2i2i022200002-2-220000-2-22-2-2−2i2i00−2i2i−2i2i−2i2i−2i2i200000-22-20000000−2i2i−2i2i000000000000−2i2i−2i2i00002-2000000−2i2i00000000000002-200000000
χ572-22-22-12-2212-11-2-2-22i−2i2i−2i0-12-1−i3i300-1-21-1−i3i3−i3i3112-212i−2i00−ii−ii2i−2i2i−2i-10−i3i3001-11−i3i3−i3i30002i−2i−ii00003−3003−300−ii−ii3−33−32-2000000−ii3−30000000−i3i300-1100000000
χ582-22-22-12-2212-11-2-2-22i−2i2i−2i0-12-1−i3i300-1-21-1−i3i3−i3i3112-21−2i2i00−ii−ii2i−2i2i−2i-10−i3i3001-11−i3i3−i3i3000−2i2ii−i00003−300−3300−ii−ii3−33−3-22000000i−i−330000000i3−i3001-100000000
χ592-22-22-12-2212-11-2-2-22i−2i2i−2i0-12-1i3−i300-1-21-1i3−i3i3−i3112-212i−2i00−ii−ii2i−2i2i−2i-10i3−i3001-11i3−i3i3−i30002i−2i−ii0000−3300−3300−ii−ii−33−332-2000000−ii−330000000i3−i300-1100000000
χ602-22-22-12-2212-11-2-2-22i−2i2i−2i0-12-1i3−i300-1-21-1i3−i3i3−i3112-21−2i2i00−ii−ii2i−2i2i−2i-10i3−i3001-11i3−i3i3−i3000−2i2ii−i0000−33003−300−ii−ii−33−33-22000000i−i3−30000000−i3i3001-100000000
χ612-22-22-12-2212-11-2-2-2−2i2i−2i2i0-12-1−i3i300-1-21-1−i3i3−i3i3112-212i−2i00i−ii−i−2i2i−2i2i-10−i3i3001-11−i3i3−i3i30002i−2i−ii0000−33003−300i−ii−i−33−33-22000000−ii3−30000000i3−i3001-100000000
χ622-22-22-12-2212-11-2-2-2−2i2i−2i2i0-12-1−i3i300-1-21-1−i3i3−i3i3112-21−2i2i00i−ii−i−2i2i−2i2i-10−i3i3001-11−i3i3−i3i3000−2i2ii−i0000−3300−3300i−ii−i−33−332-2000000i−i−330000000−i3i300-1100000000
χ632-22-22-12-2212-11-2-2-2−2i2i−2i2i0-12-1i3−i300-1-21-1i3−i3i3−i3112-212i−2i00i−ii−i−2i2i−2i2i-10i3−i3001-11i3−i3i3−i30002i−2i−ii00003−300−3300i−ii−i3−33−3-22000000−ii−330000000−i3i3001-100000000
χ642-22-22-12-2212-11-2-2-2−2i2i−2i2i0-12-1i3−i300-1-21-1i3−i3i3−i3112-21−2i2i00i−ii−i−2i2i−2i2i-10i3−i3001-11i3−i3i3−i3000−2i2ii−i00003−3003−300i−ii−i3−33−32-2000000i−i3−30000000i3−i300-1100000000
χ652-2-22222-2-2-2-2-22-2222-2-2202220000-2-2-2-20000-22-22200002-2-222-2-22200000-2-22000000000000000000000002-2-22000000002-20000000000000000000002-22-200
χ662-2-22222-2-2-2-2-22-2222-2-2202220000-2-2-2-20000-22-22200002-2-222-2-22200000-2-22000000000000000000000002-2-2200000000-22000000000000000000000-22-2200
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Here i is the imaginary unit (i² = −1).