Finite Group Databasebeta

← Group #13168081

Character table — Group #13168081

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order1222333446666666663336666666661212121212121212121222224466663666121212121212121244466666666661212121212121212121212121212121244121212126612121212121212122444466121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-11-1111111111111-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-111-1-11111111111111111111-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11111-1-111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-11-1-1-1111-1-1-1-111-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1111-111-111-1-111-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-111-1-1-1-1-1-111111111111111111-1-1-111-1-1-11-11-1-1-111-1-1-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-11-1-1-1-111-111-11-1-1111111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-111-11-1-11111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-11-11-1-1-111-1-1111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-11-111-111-1-111111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1111-1-1111-1-1-1111-1-1-1-1-1-1-111
χ17222222-1222-12-1222-122-1-12-1-1-1-12-12-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-10202222-1-1-1-1-1-1-1-10022-1-10022-1-1-1-1000000-1-100-1-1000022000-1-1-1-10000000
χ18222222-1222-12-1222-122-1-12-1-1-1-12-12-122-1-122-1-1-1-122-2-2221111-1-1-1-1-1-122-1-1-1-10-2022-2-2-1-11111110022-1-100-2-21111000000-1-100-1-10000-2-200011110000000
χ19222222-1222-12-1222-122-1-12-1-1-1-12-12-122-1-122-1-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-122-1-1-1-1020-2-22211-1-1-1-1-1-100-2-2110022-1-1-1-10000001100110000-2-200011110000000
χ20222222-1222-12-1222-122-1-12-1-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-10-20-2-2-2-21111111100-2-21100-2-21111000000110011000022000-1-1-1-10000000
χ21222222-1-2-22-12-1222-122-1-12-1-1-1-12-12-1-2-211-2-211112222-2-2-1-1-1-1-1-1-1-111-2-211110-202222-1-1-1-1-1-11100-2-21100-2-21111000000-1-1001100002-2000-1-1110000000
χ22222222-1-2-22-12-1222-122-1-12-1-1-1-12-12-1-2-211-2-2111122-2-2-2-21111-1-1-1-111-2-2111102022-2-2-1-11111-1-100-2-2110022-1-1-1-1000000-1-100110000-2200011-1-10000000
χ23222222-1-2-22-12-1222-122-1-12-1-1-1-12-12-1-2-211-2-21111-2-22222-1-1-1-1-1-1-1-111-2-211110-20-2-22211-1-1-1-1110022-1-100-2-211110000001100-1-10000-2200011-1-10000000
χ24222222-1-2-22-12-1222-122-1-12-1-1-1-12-12-1-2-211-2-21111-2-2-2-2221111-1-1-1-111-2-21111020-2-2-2-2111111-1-10022-1-10022-1-1-1-10000001100-1-100002-2000-1-1110000000
χ2522222-122222-122-1-122-12-1-122-1-1-1-1-12-1-1222222222200220000-1-1-1-1-1-1-1-1-1-1-1-1202-1-10022000000-1-1-1-122-1-100000022-1-1-1-1-1-122-1-1-1-1-1-1002000000-1-100000
χ2622222-122222-122-1-122-12-1-122-1-1-1-1-12-1-1222222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-1-1002200000011-1-12211000000-2-21111-1-1-2-2-1-1111100-20000001100000
χ2722222-122222-122-1-122-12-1-122-1-1-1-1-12-1-122222222-2-200-2-20000-1-1-1-1-1-1-1-1-1-1-1-12021100-2-2000000-1-111-2-2-1-1000000-2-21111112211-1-1-1-100-20000001100000
χ2822222-122222-122-1-122-12-1-122-1-1-1-1-12-1-122222222-2-200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-20-21100-2-20000001111-2-21100000022-1-1-1-111-2-2111111002000000-1-100000
χ2922222-12-2-222-122-1-122-12-1-122-1-1-1-1-1211-2-2-2-2-2-2-2-22200-2-20000-1-1-1-11111111120-2-1-100220000001111-2-2-1-100000022-1-1-1-1-1-12-211-1-11100-20000001100000
χ3022222-12-2-222-122-1-122-12-1-122-1-1-1-1-1211-2-2-2-2-2-2-2-22200-2-20000-1-1-1-111111111-202-1-10022000000-1-111-2-211000000-2-21111-1-1-221111-1-1002000000-1-100000
χ3122222-12-2-222-122-1-122-12-1-122-1-1-1-1-1211-2-2-2-2-2-2-2-2-2-200220000-1-1-1-11111111120-21100-2-200000011-1-122-1-1000000-2-21111112-2-1-1-1-111002000000-1-100000
χ3222222-12-2-222-122-1-122-12-1-122-1-1-1-1-1211-2-2-2-2-2-2-2-2-2-200220000-1-1-1-111111111-2021100-2-2000000-1-1-1-1221100000022-1-1-1-111-22-1-111-1-100-20000001100000
χ332222-12222-1222-1222-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-10022002222-1-1-1-122-1-1-1-1-1-122200-1-100-1-1-1-12222000022-1-1-1-1-1-100000000-1-100-1-1-1-10002200000000-1-10
χ342222-12222-1222-1222-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-10022002222-1-1-1-122-1-1-1-1-1-1-22-200-1-100-1-1-1-122-2-20000-2-2-1-1-1-1-1-10000000011001111000-2-200000000110
χ352222-12222-1222-1222-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-100-2-200-2-2-2-2-1-1-1-122-1-1-1-1-1-12-220011001111-2-22200002211111100000000-1-100-1-1-1-1000-2-200000000110
χ362222-12222-1222-1222-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-100-2-200-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-20011001111-2-2-2-20000-2-211111100000000110011110002200000000-1-10
χ372222-122-2-2-1222-1222-1-1-12-1-1-122-12-1-1-2-2-2-21111110022002222-1-1-1-1-2-21111112-2-200-1-100-1-1-1-1-2-2-2-200002211111100000000-1100-1-111000-22000000001-10
χ382222-122-2-2-1222-1222-1-1-12-1-1-122-12-1-1-2-2-2-21111110022002222-1-1-1-1-2-2111111-2-2200-1-100-1-1-1-1-2-2220000-2-2111111000000001-10011-1-10002-200000000-110
χ392222-122-2-2-1222-1222-1-1-12-1-1-122-12-1-1-2-2-2-211111100-2-200-2-2-2-2-1-1-1-1-2-211111122-2001100111122-2-2000022-1-1-1-1-1-100000000-1100-1-1110002-200000000-110
χ402222-122-2-2-1222-1222-1-1-12-1-1-122-12-1-1-2-2-2-211111100-2-200-2-2-2-2-1-1-1-1-2-2111111-222001100111122220000-2-2-1-1-1-1-1-1000000001-10011-1-1000-22000000001-10
χ4122-2-2222002-2-2-2-22-22-222222-2-2-2-22-2-20000000000002-20022-2-222-2-200000000000002-20022-2-200000000000000002i−2i2i2i−2i−2i0000000000000000000002i−2i000
χ4222-2-2222002-2-2-2-22-22-222222-2-2-2-22-2-20000000000002-20022-2-222-2-200000000000002-20022-2-20000000000000000−2i2i−2i−2i2i2i000000000000000000000−2i2i000
χ4322-2-2222002-2-2-2-22-22-222222-2-2-2-22-2-2000000000000-2200-2-22222-2-20000000000000-2200-2-22200000000000000002i−2i2i2i−2i−2i000000000000000000000−2i2i000
χ4422-2-2222002-2-2-2-22-22-222222-2-2-2-22-2-2000000000000-2200-2-22222-2-20000000000000-2200-2-2220000000000000000−2i2i−2i−2i2i2i0000000000000000000002i−2i000
χ452-22-22222i−2i-22-2-22-22-2-2222-2-222-22-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-2002i−2i00002-22-22i−2i2i−2i2i2i−2i−2i0002-2002-2000000002i−2i2i−2i000000000000002-2002i−2i00000000000000000000
χ462-22-22222i−2i-22-2-22-22-2-2222-2-222-22-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i-2200−2i2i00002-22-22i−2i2i−2i2i2i−2i−2i000-2200-2200000000−2i2i−2i2i00000000000000-2200−2i2i00000000000000000000
χ472-22-2222−2i2i-22-2-22-22-2-2222-2-222-22-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-200−2i2i00002-22-2−2i2i−2i2i−2i−2i2i2i0002-2002-200000000−2i2i−2i2i000000000000002-200−2i2i00000000000000000000
χ482-22-2222−2i2i-22-2-22-22-2-2222-2-222-22-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i-22002i−2i00002-22-2−2i2i−2i2i−2i−2i2i2i000-2200-22000000002i−2i2i−2i00000000000000-22002i−2i00000000000000000000
χ492-22-222-12i−2i-2-1-212-221-22-1-1-21-1-1121-212i−2i−ii2i−2i−i−iii2-2002i−2i−i3i3−i3i3-11-11−ii2i−2i−i−iii0002-200-11−i3i3−i3i33−3002i−2i−ii000033−3−3000000-1100−ii000000000−i3i33−30000000
χ502-22-222-12i−2i-2-1-212-221-22-1-1-21-1-1121-212i−2i−ii2i−2i−i−iii2-2002i−2ii3−i3i3−i3-11-11−ii2i−2i−i−iii0002-200-11i3−i3i3−i3−33002i−2i−ii0000−3−333000000-1100−ii000000000i3−i3−330000000
χ512-22-222-12i−2i-2-1-212-221-22-1-1-21-1-1121-212i−2i−ii2i−2i−i−iii-2200−2i2i−i3i3−i3i3-11-11−ii2i−2i−i−iii000-22001-1−i3i3−i3i33−300−2i2ii−i000033−3−30000001-100i−i000000000i3−i3−330000000
χ522-22-222-12i−2i-2-1-212-221-22-1-1-21-1-1121-212i−2i−ii2i−2i−i−iii-2200−2i2ii3−i3i3−i3-11-11−ii2i−2i−i−iii000-22001-1i3−i3i3−i3−3300−2i2ii−i0000−3−3330000001-100i−i000000000−i3i33−30000000
χ532-22-222-1−2i2i-2-1-212-221-22-1-1-21-1-1121-21−2i2ii−i−2i2iii−i−i2-200−2i2i−i3i3−i3i3-11-11i−i−2i2iii−i−i0002-200-11−i3i3−i3i3−3300−2i2ii−i0000−3−333000000-1100i−i000000000−i3i3−330000000
χ542-22-222-1−2i2i-2-1-212-221-22-1-1-21-1-1121-21−2i2ii−i−2i2iii−i−i2-200−2i2ii3−i3i3−i3-11-11i−i−2i2iii−i−i0002-200-11i3−i3i3−i33−300−2i2ii−i000033−3−3000000-1100i−i000000000i3−i33−30000000
χ552-22-222-1−2i2i-2-1-212-221-22-1-1-21-1-1121-21−2i2ii−i−2i2iii−i−i-22002i−2i−i3i3−i3i3-11-11i−i−2i2iii−i−i000-22001-1−i3i3−i3i3−33002i−2i−ii0000−3−3330000001-100−ii000000000i3−i33−30000000
χ562-22-222-1−2i2i-2-1-212-221-22-1-1-21-1-1121-21−2i2ii−i−2i2iii−i−i-22002i−2ii3−i3i3−i3-11-11i−i−2i2iii−i−i000-22001-1i3−i3i3−i33−3002i−2i−ii000033−3−30000001-100−ii000000000−i3i3−330000000
χ572-22-22-122i−2i-221-221-1-2-2-12-11-22-11-111-2−ii2i−2i2i−2i2i2i−2i−2i2-2002i−2i0000-11-11−ii−ii−i−iii000-11002-20000003−3−ii2i−2i−i3i300000000−i3i3−i3i3-1100−ii−i3i33−30000000003−300000
χ582-22-22-122i−2i-221-221-1-2-2-12-11-22-11-111-2−ii2i−2i2i−2i2i2i−2i−2i2-2002i−2i0000-11-11−ii−ii−i−iii000-11002-2000000−33−ii2i−2ii3−i300000000i3−i3i3−i3-1100−iii3−i3−33000000000−3300000
χ592-22-22-122i−2i-221-221-1-2-2-12-11-22-11-111-2−ii2i−2i2i−2i2i2i−2i−2i-2200−2i2i0000-11-11−ii−ii−i−iii0001-100-220000003−3i−i−2i2i−i3i300000000i3−i3i3−i31-100i−i−i3i33−3000000000−3300000
χ602-22-22-122i−2i-221-221-1-2-2-12-11-22-11-111-2−ii2i−2i2i−2i2i2i−2i−2i-2200−2i2i0000-11-11−ii−ii−i−iii0001-100-22000000−33i−i−2i2ii3−i300000000−i3i3−i3i31-100i−ii3−i3−330000000003−300000
χ612-22-22-12−2i2i-221-221-1-2-2-12-11-22-11-111-2i−i−2i2i−2i2i−2i−2i2i2i2-200−2i2i0000-11-11i−ii−iii−i−i000-11002-20000003−3i−i−2i2ii3−i300000000i3−i3i3−i3-1100i−ii3−i33−30000000003−300000
χ622-22-22-12−2i2i-221-221-1-2-2-12-11-22-11-111-2i−i−2i2i−2i2i−2i−2i2i2i2-200−2i2i0000-11-11i−ii−iii−i−i000-11002-2000000−33i−i−2i2i−i3i300000000−i3i3−i3i3-1100i−i−i3i3−33000000000−3300000
χ632-22-22-12−2i2i-221-221-1-2-2-12-11-22-11-111-2i−i−2i2i−2i2i−2i−2i2i2i-22002i−2i0000-11-11i−ii−iii−i−i0001-100-220000003−3−ii2i−2ii3−i300000000−i3i3−i3i31-100−iii3−i33−3000000000−3300000
χ642-22-22-12−2i2i-221-221-1-2-2-12-11-22-11-111-2i−i−2i2i−2i2i−2i−2i2i2i-22002i−2i0000-11-11i−ii−iii−i−i0001-100-22000000−33−ii2i−2i−i3i300000000i3−i3i3−i31-100−ii−i3i3−330000000003−300000
χ6544444-2-2444-2-2-24-2-2-24-2-21-2-2-211-21-2-2-2-2-2-244-2-2-2-24400440000111111-2-21111000-2-200-2-200000000-2-2-2-20000000000000011001100000000000000000000
χ6644444-2-2444-2-2-24-2-2-24-2-21-2-2-211-21-2-2-2-2-2-244-2-2-2-2-4-400-4-40000111111-2-2111100022002200000000222200000000000000-1-100-1-100000000000000000000
χ6744444-2-2-4-44-2-2-24-2-2-24-2-21-2-2-211-21-2-22222-4-422224400-4-400001111-1-122-1-1-1-1000-2-200-2-2000000002222000000000000001100-1-100000000000000000000
χ6844444-2-2-4-44-2-2-24-2-2-24-2-21-2-2-211-21-2-22222-4-42222-4-4004400001111-1-122-1-1-1-100022002200000000-2-2-2-200000000000000-1-1001100000000000000000000
χ694444-24-244-2-24-2-244-2-2-21-2-211-2-2-2-2-2144-2-2-2-21111004400-2-2-2-21111-2-2-2-2111104000-2-2001111-2-200000000-2-2111100000000000000000000000000000000
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χ1188-88-8-4-4-48i−8i4-444-44-444222-2-222-22-2-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000000000-11-112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).