Finite Group Databasebeta

← Group #13172878

Character table — Group #13172878

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order122233366666666644442333666666666666666664444121212121212121236666666666662246666121212121212121212121212121212121212121244444466666612121212244121212121212121212122264
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-1111-1-11111-1-1-1-111111111111111-1-1-1-11-111-1-111-1-1-11-111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-111-1-111-1-1-1-11111111111111111-1-111-1-1-11-1-111-1-111-1-11-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1111111111-1-1-1-1-1111-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-11111-1-11-1111-1-1-1-1-1-111-1-111
χ711111111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111111111111-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-11111-1-1-111-1-111-1-1-1-111
χ811111111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111111111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-11-1-111-1-1-1-11111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-1-111-11-111-1-1-1-111-1-111-11
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
χ131111111111111111-1-1-1-1-1111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-111-1-1-1-1111111-1-1-11
χ141111111111111111-1-1-1-1-1111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-11-1-11111-1-111-1-1-111-1-111-1-1111-1
χ151111111111111111-1-1-1-1-1111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11-111-1-1-1-1111-1111-1-1-1-1-1-111111-1
χ161111111111111111-1-1-1-1-1111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11
χ17222222-122-1-122-122000022-1-12222222222-1-1-1-1-1-12222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1220222222-1-122-1-1000000000000000022-1-1-1-1-1-1-1-1-1-12000000-1-1000000-10
χ18222222-122-1-122-122000022-1-12222222222-1-1-1-1-1-1222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2022-2-222-1-1-2-2110000000000000000-2-2-11-1-111-1-111-20000001100000010
χ19222222-122-1-122-122000022-1-12222222222-1-1-1-1-1-12-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-220-2-222-2-21122-1-10000000000000000-2-21-111-1-111-1-1-20000001100000010
χ20222222-122-1-122-122000022-1-12222222222-1-1-1-1-1-12-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2-2-211-2-21100000000000000002211111111112000000-1-1000000-10
χ21222222-122-1-122-1220000-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12222200000000-111111-1-1-11111-2-20-2-2-2-222-1-122-1-1000000000000000022111111-1-1-1-1-2000000-1-100000010
χ22222222-122-1-122-1220000-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1222-2-200000000-111111-1-1-11111-220-2-22222-1-1-2-2110000000000000000-2-21-111-1-1-1-111200000011000000-10
χ23222222-122-1-122-1220000-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-22200000000-111111-1-1-111112-2022-2-2-2-21122-1-10000000000000000-2-2-11-1-11111-1-1200000011000000-10
χ24222222-122-1-122-1220000-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-2-2-200000000-111111-1-1-111112202222-2-211-2-211000000000000000022-1-1-1-1-1-11111-2000000-1-100000010
χ2522222-122-1222-122-122222-12-122-1-1-1-1-1-1-1-122-1-12-1-100222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-102200-1-10000-1-12222-1-1-1-1-1-1-1-1-1-10022000200-1-100-1-100200-1-10000-1-10000
χ2622222-122-1222-122-122222-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-22222-1-1-1-1-1222-1-1-1-1-1-1-1-1-10-220011000011-2-222-1-1-1-1-1-1-1-1-1-100-2-2000-20011001100-200110000110000
χ2722222-122-1222-122-12222-2-12-1-2-211-1-1111122-1-12-1-100222222-1-1-1-1-1-2-2-211-1-1-111110-2-200110000-1-122-2-211-1-1-1-111110022000-2001100-1-100-200-1-10000110000
χ2822222-122-1222-122-12222-2-12-1-2-211-1-1111122-1-12-1-100-2-22222-1-1-1-1-1-2-2-211-1-1-1111102-200-1-1000011-2-2-2-211-1-1-1-1111100-2-2000200-1-1001100200110000-1-10000
χ2922222-122-1222-122-1-2-2-2-22-12-122-1-1-1-1-1-1-1-122-1-12-1-10022-2-2-2-21111-1222-1-1-1-1-1-1-1-1-102-200-1-10000-1-122-2-2111111111100-2-2000200-1-100-1-100-200110000110000
χ3022222-122-1222-122-1-2-2-2-22-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-10-2-20011000011-2-2-2-211111111110022000-20011001100200-1-10000-1-10000
χ3122222-122-1222-122-1-2-2-2-2-2-12-1-2-211-1-1111122-1-12-1-10022-2-2-2-21111-1-2-2-211-1-1-111110-2200110000-1-12222-1-11111-1-1-1-100-2-2000-2001100-1-100200110000-1-10000
χ3222222-122-1222-122-1-2-2-2-2-2-12-1-2-211-1-1111122-1-12-1-100-2-2-2-2-2-21111-1-2-2-211-1-1-1111102200-1-1000011-2-222-1-11111-1-1-1-10022000200-1-1001100-200-1-10000110000
χ332222-122-1222-122-1222222-1-12-1-122-1-1-1-1-1-1-1-122-12-12200-1-1-1-12222-12-1-122-1-1-1-1-1-1-1202-1-100-1-1220000-1-122-1-1-1-1-1-1-1-122000020-1-100-1-100020-1-10000-1-1000000
χ342222-122-1222-122-1222222-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-200-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-202110011-2-20000-1-122-1-1-1-1-1-1-1-1-2-20000-20110011000-2011000011000000
χ352222-122-1222-122-122222-2-1-1211-2-2-1-11111-1-122-12-12200-1-1-1-12222-1-211-2-2-1-1-11111-20-21100-1-122000011-2-2-1-1-1-11111220000-201100-1-1000-20-1-1000011000000
χ362222-122-1222-122-122222-2-1-1211-2-2-1-11111-1-122-12-1-2-200-1-1-1-12222-1-211-2-2-1-1-1111120-2-1-10011-2-2000011-2-2-1-1-1-11111-2-2000020-1-1001100020110000-1-1000000
χ372222-122-1222-122-12-2-2-2-22-1-12-1-122-1-1-1-1-1-1-1-122-12-122001111-2-2-2-2-12-1-122-1-1-1-1-1-1-120-2-1-100-1-122000011-2-211111111-2-2000020-1-100-1-1000-2011000011000000
χ382222-122-1222-122-12-2-2-2-22-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2001111-2-2-2-2-12-1-122-1-1-1-1-1-1-1-20-2110011-2-2000011-2-211111111220000-2011001100020-1-10000-1-1000000
χ392222-122-1222-122-12-2-2-2-2-2-1-1211-2-2-1-11111-1-122-12-122001111-2-2-2-2-1-211-2-2-1-1-11111-2021100-1-1220000-1-1221111-1-1-1-1-2-20000-201100-1-100020110000-1-1000000
χ402222-122-1222-122-12-2-2-2-2-2-1-1211-2-2-1-11111-1-122-12-1-2-2001111-2-2-2-2-1-211-2-2-1-1-11111202-1-10011-2-20000-1-1221111-1-1-1-122000020-1-10011000-20-1-1000011000000
χ4122-2-22222-22-2-22-2-2-22i2i−2i−2i022200002-20000-2-22-22-2-22-2002i2i−2i−2i2i2i−2i−2i2000002-2-2000000000002-22-2000000002i2i−2i−2i00002i−2i00000000002-2000002i−2i000000000000
χ4222-2-22222-22-2-22-2-2-22i2i−2i−2i022200002-20000-2-22-22-2-2-22002i2i−2i−2i2i2i−2i−2i2000002-2-200000000000-22-22000000002i2i−2i−2i0000−2i2i0000000000-2200000−2i2i000000000000
χ4322-2-22222-22-2-22-2-2-2−2i−2i2i2i022200002-20000-2-22-22-2-22-200−2i−2i2i2i−2i−2i2i2i2000002-2-2000000000002-22-200000000−2i−2i2i2i0000−2i2i00000000002-200000−2i2i000000000000
χ4422-2-22222-22-2-22-2-2-2−2i−2i2i2i022200002-20000-2-22-22-2-2-2200−2i−2i2i2i−2i−2i2i2i2000002-2-200000000000-22-2200000000−2i−2i2i2i00002i−2i0000000000-22000002i−2i000000000000
χ4522-2-2-122-1-22-212-21-22i2i−2i−2i0-1-12−i3i300-11−i3−i3i3i3112-2-1-212-200−i−iii2i2i−2i−2i-10−i3i300-111−i3−i3i3i3000−i3i300-112-200003−300−i−iii33−3−32i−2i000000−i3i300-1100000−ii00003−3000000
χ4622-2-2-122-1-22-212-21-22i2i−2i−2i0-1-12−i3i300-11−i3−i3i3i3112-2-1-21-2200−i−iii2i2i−2i−2i-10−i3i300-111−i3−i3i3i3000i3−i3001-1-2200003−300−i−iii33−3−3−2i2i000000i3−i3001-100000i−i0000−33000000
χ4722-2-2-122-1-22-212-21-22i2i−2i−2i0-1-12i3−i300-11i3i3−i3−i3112-2-1-212-200−i−iii2i2i−2i−2i-10i3−i300-111i3i3−i3−i3000i3−i300-112-20000−3300−i−iii−3−3332i−2i000000i3−i300-1100000−ii0000−33000000
χ4822-2-2-122-1-22-212-21-22i2i−2i−2i0-1-12i3−i300-11i3i3−i3−i3112-2-1-21-2200−i−iii2i2i−2i−2i-10i3−i300-111i3i3−i3−i3000−i3i3001-1-220000−3300−i−iii−3−333−2i2i000000−i3i3001-100000i−i00003−3000000
χ4922-2-2-122-1-22-212-21-2−2i−2i2i2i0-1-12−i3i300-11−i3−i3i3i3112-2-1-212-200ii−i−i−2i−2i2i2i-10−i3i300-111−i3−i3i3i3000−i3i300-112-20000−3300ii−i−i−3−333−2i2i000000−i3i300-1100000i−i0000−33000000
χ5022-2-2-122-1-22-212-21-2−2i−2i2i2i0-1-12−i3i300-11−i3−i3i3i3112-2-1-21-2200ii−i−i−2i−2i2i2i-10−i3i300-111−i3−i3i3i3000i3−i3001-1-220000−3300ii−i−i−3−3332i−2i000000i3−i3001-100000−ii00003−3000000
χ5122-2-2-122-1-22-212-21-2−2i−2i2i2i0-1-12i3−i300-11i3i3−i3−i3112-2-1-212-200ii−i−i−2i−2i2i2i-10i3−i300-111i3i3−i3−i3000i3−i300-112-200003−300ii−i−i33−3−3−2i2i000000i3−i300-1100000i−i00003−3000000
χ5222-2-2-122-1-22-212-21-2−2i−2i2i2i0-1-12i3−i300-11i3i3−i3−i3112-2-1-21-2200ii−i−i−2i−2i2i2i-10i3−i300-111i3i3−i3−i3000−i3i3001-1-2200003−300ii−i−i33−3−32i−2i000000−i3i3001-100000−ii0000−33000000
χ532-22-2222-22-222-2-2-2-22i−2i2i−2i02220000-2200002-2-2-2-22-2002-22i−2i2i−2i2i−2i2i−2i200000-22-20000000000000002-22-200002i−2i2i−2i0000002i−2i00000000002-2000002i−2i0000000000
χ542-22-2222-22-222-2-2-2-22i−2i2i−2i02220000-2200002-2-2-2-22-200-222i−2i2i−2i2i−2i2i−2i200000-22-2000000000000000-22-2200002i−2i2i−2i000000−2i2i0000000000-2200000−2i2i0000000000
χ552-22-2222-22-222-2-2-2-2−2i2i−2i2i02220000-2200002-2-2-2-22-2002-2−2i2i−2i2i−2i2i−2i2i200000-22-20000000000000002-22-20000−2i2i−2i2i000000−2i2i00000000002-200000−2i2i0000000000
χ562-22-2222-22-222-2-2-2-2−2i2i−2i2i02220000-2200002-2-2-2-22-200-22−2i2i−2i2i−2i2i−2i2i200000-22-2000000000000000-22-220000−2i2i−2i2i0000002i−2i0000000000-22000002i−2i0000000000
χ572-22-22-12-2-1-2221-2-212i−2i2i−2i0-12-100−i3i31-1−i3i3−i3i32-211-2-11002-22i−2i2i−2i−ii−ii-1000−i3i31-11−i3i3−i3i300000−i3i30000-112-2003−3−ii−ii3−33−3002i−2i000000−i3i300-1100000−ii00003−30000
χ582-22-22-12-2-1-2221-2-212i−2i2i−2i0-12-100−i3i31-1−i3i3−i3i32-211-2-1100-222i−2i2i−2i−ii−ii-1000−i3i31-11−i3i3−i3i300000i3−i300001-1-22003−3−ii−ii3−33−300−2i2i000000i3−i3001-100000i−i0000−330000
χ592-22-22-12-2-1-2221-2-212i−2i2i−2i0-12-100i3−i31-1i3−i3i3−i32-211-2-11002-22i−2i2i−2i−ii−ii-1000i3−i31-11i3−i3i3−i300000i3−i30000-112-200−33−ii−ii−33−33002i−2i000000i3−i300-1100000−ii0000−330000
χ602-22-22-12-2-1-2221-2-212i−2i2i−2i0-12-100i3−i31-1i3−i3i3−i32-211-2-1100-222i−2i2i−2i−ii−ii-1000i3−i31-11i3−i3i3−i300000−i3i300001-1-2200−33−ii−ii−33−3300−2i2i000000−i3i3001-100000i−i00003−30000
χ612-22-22-12-2-1-2221-2-21−2i2i−2i2i0-12-100−i3i31-1−i3i3−i3i32-211-2-11002-2−2i2i−2i2ii−ii−i-1000−i3i31-11−i3i3−i3i300000−i3i30000-112-200−33i−ii−i−33−3300−2i2i000000−i3i300-1100000i−i0000−330000
χ622-22-22-12-2-1-2221-2-21−2i2i−2i2i0-12-100−i3i31-1−i3i3−i3i32-211-2-1100-22−2i2i−2i2ii−ii−i-1000−i3i31-11−i3i3−i3i300000i3−i300001-1-2200−33i−ii−i−33−33002i−2i000000i3−i3001-100000−ii00003−30000
χ632-22-22-12-2-1-2221-2-21−2i2i−2i2i0-12-100i3−i31-1i3−i3i3−i32-211-2-11002-2−2i2i−2i2ii−ii−i-1000i3−i31-11i3−i3i3−i300000i3−i30000-112-2003−3i−ii−i3−33−300−2i2i000000i3−i300-1100000i−i00003−30000
χ642-22-22-12-2-1-2221-2-21−2i2i−2i2i0-12-100i3−i31-1i3−i3i3−i32-211-2-1100-22−2i2i−2i2ii−ii−i-1000i3−i31-11i3−i3i3−i300000−i3i300001-1-22003−3i−ii−i3−33−3002i−2i000000−i3i3001-100000−ii0000−330000
χ652-2-22222-2-2-2-2-2-22222-2-2202220000-2-20000-22-22-2-2200002-2-222-2-22200000-2-22000000000000000000000002-2-22000000002-2000000000000000002-200002-200
χ662-2-22222-2-2-2-2-2-22222-2-2202220000-2-20000-22-22-2-2200002-2-222-2-22200000-2-22000000000000000000000002-2-2200000000-2200000000000000000-220000-2200
χ672-2-22222-2-2-2-2-2-2222-222-202220000-2-20000-22-22-2-220000-222-2-222-2200000-2-2200000000000000000000000-222-2000000002-2000000000000000002-20000-2200
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Here i is the imaginary unit (i² = −1).