Finite Group Databasebeta

← Group #13172065

Character table — Group #13172065

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666623336666666666666666644444444121212121212121236666666666662266661212121212121212121212121212121212121212444466666612121212244412121212121212121212644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-111-1-11111-1-1-1-111111111111111-1-11-111-1-111-1-1-1-11-111-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-11-1-111-1-1-1-11111111111111111-1-111-11-1-111-1-111-1-1-11-1-111-1-1-1-111-1-1-1
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
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-11-1-111-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-11-111-1-1-1-111-1-1-111
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
χ91111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-11-1
χ101111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-1111111-1-1-1-111-1-11111-1-1-1-11111-11-1-11111-1-11-1-1-1-1-1-1-1-1-111111-11
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1111-1111111-1-1-1-1-1-11-11
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-111-1-111-1-111-11-1
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-111-111-1-111-1-111-1-11
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-11-1111111-1-1-1-1-1-111-1
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-1-11111-1-111-1-1-1-1111111111-111-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-11-11-1-1111111-1-1-1-11
χ17222222-122-1-122-12222-1-12222222222-1-1-1-1-1-120000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122-1-10000000000000000-1-1-1-1-1-1-1-1-1-122000000-1-10000-100
χ18222222-122-1-122-12222-1-12222222222-1-1-1-1-1-12000022-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-222-2-222-1-1-2-2110000000000000000-11-1-111-1-111-2-2000000110000100
χ19222222-122-1-122-12222-1-12222222222-1-1-1-1-1-120000-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-222-2-21122-1-100000000000000001-111-1-111-1-1-2-2000000110000100
χ20222222-122-1-122-12222-1-12222222222-1-1-1-1-1-120000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2110000000000000000111111111122000000-1-10000-100
χ21222222-122-1-122-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-120000222200000000-111111-1-1-11111-2-2-2-2-2-222-1-122-1-10000000000000000111111-1-1-1-1-22000000-1-10000100
χ22222222-122-1-122-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12000022-2-200000000-111111-1-1-11111-22-2-22222-1-1-2-21100000000000000001-111-1-1-1-1112-2000000110000-100
χ23222222-122-1-122-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-120000-2-22200000000-111111-1-1-111112-222-2-2-2-21122-1-10000000000000000-11-1-11111-1-12-2000000110000-100
χ24222222-122-1-122-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-120000-2-2-2-200000000-111111-1-1-11111222222-2-211-2-2110000000000000000-1-1-1-1-1-11111-22000000-1-10000100
χ2522222-122-1222-122-12-12-122-1-1-1-1-1-1-1-122-1-12-1-122220022-1-1-1-12222-1222-1-1-1-1-1-1-1-1-10200-1-10000-1-12222-1-1-1-1-1-1-1-1-1-100220200-1-100-1-1000200-1-10000-1-1000
χ2622222-122-1222-122-12-12-122-1-1-1-1-1-1-1-122-1-12-1-1222200-2-2-1-1-1-12222-1222-1-1-1-1-1-1-1-1-10-20011000011-2-222-1-1-1-1-1-1-1-1-1-100-2-20-200110011000-20011000011000
χ2722222-122-1222-122-12-12-122-1-1-1-1-1-1-1-122-1-12-1-1-2-2-2-200221111-2-2-2-2-1222-1-1-1-1-1-1-1-1-10200-1-10000-1-122-2-2111111111100-2-20200-1-100-1-1000-20011000011000
χ2822222-122-1222-122-12-12-122-1-1-1-1-1-1-1-122-1-12-1-1-2-2-2-200-2-21111-2-2-2-2-1222-1-1-1-1-1-1-1-1-10-20011000011-2-2-2-2111111111100220-200110011000200-1-10000-1-1000
χ2922222-122-1222-122-1-2-12-1-2-211-1-1111122-1-12-1-122-2-20022-1-1-1-1-2-2-2-2-1-2-2-211-1-1-111110-200110000-1-1222211-1-1-1-1111100-2-20-2001100-1-1000200-1-1000011000
χ3022222-122-1222-122-1-2-12-1-2-211-1-1111122-1-12-1-122-2-200-2-2-1-1-1-1-2-2-2-2-1-2-2-211-1-1-111110200-1-1000011-2-22211-1-1-1-1111100220200-1-10011000-200110000-1-1000
χ3122222-122-1222-122-1-2-12-1-2-211-1-1111122-1-12-1-1-2-222002211112222-1-2-2-211-1-1-111110-200110000-1-122-2-2-1-11111-1-1-1-100220-2001100-1-1000-200110000-1-1000
χ3222222-122-1222-122-1-2-12-1-2-211-1-1111122-1-12-1-1-2-22200-2-211112222-1-2-2-211-1-1-111110200-1-1000011-2-2-2-2-1-11111-1-1-1-100-2-20200-1-10011000200-1-1000011000
χ332222-122-1222-122-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1222222002222-1-1-1-1-12-1-122-1-1-1-1-1-1-120-1-100-1-1220000-1-122-1-1-1-1-1-1-1-1220020-1-100-1-1000020-1-10000-1-100000
χ342222-122-1222-122-122-1-12-1-122-1-1-1-1-1-1-1-122-12-12222-2-2002222-1-1-1-1-12-1-122-1-1-1-1-1-1-1-20110011-2-20000-1-122-1-1-1-1-1-1-1-1-2-200-201100110000-201100001100000
χ352222-122-1222-122-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-22200-2-2-2-21111-12-1-122-1-1-1-1-1-1-120-1-100-1-122000011-2-211111111-2-20020-1-100-1-10000-201100001100000
χ362222-122-1222-122-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-2-2-200-2-2-2-21111-12-1-122-1-1-1-1-1-1-1-20110011-2-2000011-2-2111111112200-20110011000020-1-10000-1-100000
χ372222-122-1222-122-12-2-1-1211-2-2-1-11111-1-122-12-122-2-2220022221111-1-211-2-2-1-1-11111-201100-1-1220000-1-1-2-2-1-1-1-111112200-201100-1-10000-20110000-1-100000
χ382222-122-1222-122-12-2-1-1211-2-2-1-11111-1-122-12-122-2-2-2-20022221111-1-211-2-2-1-1-1111120-1-10011-2-20000-1-1-2-2-1-1-1-11111-2-20020-1-10011000020-1-100001100000
χ392222-122-1222-122-12-2-1-1211-2-2-1-11111-1-122-12-1-2-2222200-2-2-2-2-1-1-1-1-1-211-2-2-1-1-11111-201100-1-122000011221111-1-1-1-1-2-200-201100-1-1000020-1-100001100000
χ402222-122-1222-122-12-2-1-1211-2-2-1-11111-1-122-12-1-2-222-2-200-2-2-2-2-1-1-1-1-1-211-2-2-1-1-1111120-1-10011-2-2000011221111-1-1-1-1220020-1-100110000-20110000-1-100000
χ412-22-22222-22-2-22-2-2-2022200002-20000-2-22-22-2-22i−2i002-2002i2i−2i−2i00002000002-2-200000000002-22-200002i−2i002i2i−2i−2i00002i−2i000000002-20000000000002i−2i00000
χ422-22-22222-22-2-22-2-2-2022200002-20000-2-22-22-2-22i−2i00-22002i2i−2i−2i00002000002-2-20000000000-22-2200002i−2i002i2i−2i−2i0000−2i2i00000000-22000000000000−2i2i00000
χ432-22-22222-22-2-22-2-2-2022200002-20000-2-22-22-2-2−2i2i002-200−2i−2i2i2i00002000002-2-200000000002-22-20000−2i2i00−2i−2i2i2i0000−2i2i000000002-2000000000000−2i2i00000
χ442-22-22222-22-2-22-2-2-2022200002-20000-2-22-22-2-2−2i2i00-2200−2i−2i2i2i00002000002-2-20000000000-22-220000−2i2i00−2i−2i2i2i00002i−2i00000000-220000000000002i−2i00000
χ452-22-2-122-1-22-212-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-212i−2i002-2002i2i−2i−2i33−3−3-10−i3i300-111−i3−i3i3i300−i3i300-112-20000−ii00−i−iii33−3−32i−2i0000−i3i300-110000003−30000−ii00000
χ462-22-2-122-1-22-212-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-212i−2i00-22002i2i−2i−2i33−3−3-10−i3i300-111−i3−i3i3i300i3−i3001-1-220000−ii00−i−iii33−3−3−2i2i0000i3−i3001-1000000−330000i−i00000
χ472-22-2-122-1-22-212-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-21−2i2i002-200−2i−2i2i2i−3−333-10−i3i300-111−i3−i3i3i300−i3i300-112-20000i−i00ii−i−i−3−333−2i2i0000−i3i300-11000000−330000i−i00000
χ482-22-2-122-1-22-212-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-21−2i2i00-2200−2i−2i2i2i−3−333-10−i3i300-111−i3−i3i3i300i3−i3001-1-220000i−i00ii−i−i−3−3332i−2i0000i3−i3001-10000003−30000−ii00000
χ492-22-2-122-1-22-212-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-212i−2i002-2002i2i−2i−2i−3−333-10i3−i300-111i3i3−i3−i300i3−i300-112-20000−ii00−i−iii−3−3332i−2i0000i3−i300-11000000−330000−ii00000
χ502-22-2-122-1-22-212-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-212i−2i00-22002i2i−2i−2i−3−333-10i3−i300-111i3i3−i3−i300−i3i3001-1-220000−ii00−i−iii−3−333−2i2i0000−i3i3001-10000003−30000i−i00000
χ512-22-2-122-1-22-212-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-21−2i2i002-200−2i−2i2i2i33−3−3-10i3−i300-111i3i3−i3−i300i3−i300-112-20000i−i00ii−i−i33−3−3−2i2i0000i3−i300-110000003−30000i−i00000
χ522-22-2-122-1-22-212-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-21−2i2i00-2200−2i−2i2i2i33−3−3-10i3−i300-111i3i3−i3−i300−i3i3001-1-220000i−i00ii−i−i33−3−32i−2i0000−i3i3001-1000000−330000−ii00000
χ532-2-22222-22-222-2-2-2-202220000-2200002-2-2-2-22-2002i−2i002-200002i−2i2i−2i200000-22-2000000000000002-22-2002i−2i00002i−2i2i−2i002i−2i000000002-20000000000002i−2i000
χ542-2-22222-22-222-2-2-2-202220000-2200002-2-2-2-22-2002i−2i00-2200002i−2i2i−2i200000-22-200000000000000-22-22002i−2i00002i−2i2i−2i00−2i2i00000000-22000000000000−2i2i000
χ552-2-22222-22-222-2-2-2-202220000-2200002-2-2-2-22-200−2i2i002-20000−2i2i−2i2i200000-22-2000000000000002-22-200−2i2i0000−2i2i−2i2i00−2i2i000000002-2000000000000−2i2i000
χ562-2-22222-22-222-2-2-2-202220000-2200002-2-2-2-22-200−2i2i00-220000−2i2i−2i2i200000-22-200000000000000-22-2200−2i2i0000−2i2i−2i2i002i−2i00000000-220000000000002i−2i000
χ572-2-222-12-2-1-2221-2-210-12-100−i3i31-1−i3i3−i3i32-211-2-11002i−2i002-23−33−32i−2i2i−2i-1000−i3i31-11−i3i3−i3i30000−i3i30000-112-200−ii3−33−3−ii−ii002i−2i0000−i3i300-110000003−30000−ii000
χ582-2-222-12-2-1-2221-2-210-12-100−i3i31-1−i3i3−i3i32-211-2-11002i−2i00-223−33−32i−2i2i−2i-1000−i3i31-11−i3i3−i3i30000i3−i300001-1-2200−ii3−33−3−ii−ii00−2i2i0000i3−i3001-1000000−330000i−i000
χ592-2-222-12-2-1-2221-2-210-12-100−i3i31-1−i3i3−i3i32-211-2-1100−2i2i002-2−33−33−2i2i−2i2i-1000−i3i31-11−i3i3−i3i30000−i3i30000-112-200i−i−33−33i−ii−i00−2i2i0000−i3i300-11000000−330000i−i000
χ602-2-222-12-2-1-2221-2-210-12-100−i3i31-1−i3i3−i3i32-211-2-1100−2i2i00-22−33−33−2i2i−2i2i-1000−i3i31-11−i3i3−i3i30000i3−i300001-1-2200i−i−33−33i−ii−i002i−2i0000i3−i3001-10000003−30000−ii000
χ612-2-222-12-2-1-2221-2-210-12-100i3−i31-1i3−i3i3−i32-211-2-11002i−2i002-2−33−332i−2i2i−2i-1000i3−i31-11i3−i3i3−i30000i3−i30000-112-200−ii−33−33−ii−ii002i−2i0000i3−i300-11000000−330000−ii000
χ622-2-222-12-2-1-2221-2-210-12-100i3−i31-1i3−i3i3−i32-211-2-11002i−2i00-22−33−332i−2i2i−2i-1000i3−i31-11i3−i3i3−i30000−i3i300001-1-2200−ii−33−33−ii−ii00−2i2i0000−i3i3001-10000003−30000i−i000
χ632-2-222-12-2-1-2221-2-210-12-100i3−i31-1i3−i3i3−i32-211-2-1100−2i2i002-23−33−3−2i2i−2i2i-1000i3−i31-11i3−i3i3−i30000i3−i30000-112-200i−i3−33−3i−ii−i00−2i2i0000i3−i300-110000003−30000i−i000
χ642-2-222-12-2-1-2221-2-210-12-100i3−i31-1i3−i3i3−i32-211-2-1100−2i2i00-223−33−3−2i2i−2i2i-1000i3−i31-11i3−i3i3−i30000−i3i300001-1-2200i−i3−33−3i−ii−i002i−2i0000−i3i3001-1000000−330000−ii000
χ6544444-2-24-2-2-24-2-24-24-2-2144-2-2-2-2-2-2-2-2-2-211-21-200000044000000001-2-2-21111111110400-2-20000-2-2-2-200000000000000000-20011001100000000000000000
χ6644444-2-24-2-2-24-2-24-24-2-2144-2-2-2-2-2-2-2-2-2-211-21-2000000-4-4000000001-2-2-21111111110-400220000222200000000000000000200-1-100-1-100000000000000000
χ6744444-2-24-2-2-24-2-24-2-4-2-21-4-422-2-22222-2-211-21-200000044000000001222-1-1111-1-1-1-10-400220000-2-2-2-200000000000000000200-1-1001100000000000000000
χ6844444-2-24-2-2-24-2-24-2-4-2-21-4-422-2-22222-2-211-21-2000000-4-4000000001222-1-1111-1-1-1-10400-2-20000222200000000000000000-2001100-1-100000000000000000
χ694444-24-2-24-2-2-24-2-244-21-2-2-244-2-2-2-2-2-211-2-21-2-200004400000000001-211-2-2111111140-2-200-2-2-2-200000000000000000000-201100110000000000000000000
χ704444-24-2-24-2-2-24-2-244-21-2-2-244-2-2-2-2-2-211-2-21-2-20000-4-400000000001-211-2-21111111-40220022220000000000000000000020-1-100-1-10000000000000000000
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χ1004-4-4444-2-442-24-42-4-404-2-20000-440000-22222-2-40000004-400000000-2000002-22000000000000004-4-22000000000000000000000000-2200000000000000000
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χ1024-4-444-2-2-4-22-2422-420-2-2100−2i32i32-2−2i32i3−2i32i3-22-1-12120000004-4000000001000i3−i3-11-1i3−i3i3−i30000−2i32i30000-22-2200000000000000000000i3−i3001-100000000000000000
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χ1104-4-44-2-242-2-44-22-42201-2-2002i3−2i3-11−i3i3−i3i3-22222-2-1004i−4i0000−2323−2323−2i2i−2i2i10002i3−2i3-11-1−i3i3−i3i30000000000000000−2i2i3−33−3i−ii−i0000000000000000000000000000000
χ1114-4-44-2-242-2-44-22-42201-2-2002i3−2i3-11−i3i3−i3i3-22222-2-100−4i4i000023−2323−232i−2i2i−2i10002i3−2i3-11-1−i3i3−i3i300000000000000002i−2i−33−33−ii−ii0000000000000000000000000000000
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χ1138888-4-4-4-4-4-4-4-4-4-4-4-4-8222444422-2-2-2-222222220000000000000000-14-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000
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χ1198-88-8-4-4-4-44-444-44440222−4i34i3002-22i32i3−2i3−2i3-2-22-22-2-20000000000000000-102i3−2i300-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-4-44-444-444402224i3−4i3002-2−2i3−2i32i32i3-2-22-22-2-20000000000000000-10−2i32i300-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
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χ1228-8-88-4-4-44-44-4-44444022200−4i34i3-222i3−2i32i3−2i32-2-2-2-22-20000000000000000-10002i3−2i31-11−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-44-44-4-444440222004i3−4i3-22−2i32i3−2i32i32-2-2-2-22-20000000000000000-1000−2i32i31-11i3−i3i3−i3000000000000000000000000000000000000000000000000000000000

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