Finite Group Databasebeta

← Group #13172674

Character table — Group #13172674

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order1222333666666666233366666666666666666222244441212121212121212366666666666644666666661212121212121212121212121212121222446666121212121212244466661212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111111111-111-1-111-1-11111-1-11111111111-1-11111-1-11-111-1-1-11-1-1-1-1-1-11111-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-111-1-1-1-11-111-1-1-1-1-1-111-111
χ51111111111111111111111111111111111111-1-1111111111111111111111111111-11-1-111-1-111-1-11111111111111111-1-1-1-111-11-1-111-1-11-111-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-111-11-1-1-1-1-1-11111-1-1-111
χ71111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1111
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
χ91111111111111111-1111-1-1-1-111-1-1-1-11111111111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-11-1
χ101111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11-11-1-1-11111-1-111-1-11
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-1-111-1111-1-1-1-1-1-111111-11
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-11-1-111-1-1-1111-1-111-1-1-1-111-1
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1111-111-1-1-1-1-1111-1-111-1-1-1-11-11
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1111-1-1-1-1-1-1111111-1
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11111111-11-1-1-11111-1-111-11-1
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11
χ17222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-122222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122002200000000000000-1-1-1-1-1-1-1-1-1-1200200-1-1000000-100
χ18222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-1222-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-12-222-2-2-1-1112200-2-200000000000000-1-111-11-1-111-200-20011000000100
χ19222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-12-2-222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-22211-1-1-2-200220000000000000011-1-11-111-1-1-200-20011000000100
χ20222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-12-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-200-2-2000000000000001111111111200200-1-1000000-100
χ21222222-1222-1-12-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-122222000000000000-111111-1-1-11111-2-22222-1-1-1-1-2-200-2-200000000000000-1-1-1-1111111200-200-1-1000000100
χ22222222-1222-1-12-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1222-2-2000000000000-111111-1-1-11111-2222-2-2-1-111-2-2002200000000000000-1-1111-111-1-1-20020011000000-100
χ23222222-1222-1-12-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-222000000000000-111111-1-1-111112-2-2-22211-1-12200-2-20000000000000011-1-1-11-1-111-20020011000000-100
χ24222222-1222-1-12-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-2-2-2000000000000-111111-1-1-1111122-2-2-2-21111220022000000000000001111-1-1-1-1-1-1200-200-1-1000000100
χ2522222-12-1-1222222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-1002222222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-10200-1-100220022-1-1-1-1-1-1-1-1-1-1-1-1220000-1-10200-1-10020-1-1000000-1-1000
χ2622222-12-1-1222222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-10022-2-2-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-10200-1-1002200-2-2-1-11111111111-2-20000-1-10200-1-100-201100000011000
χ2722222-12-1-1222222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-222222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-10-2001100-2-2002211-1-1-1-1-1-1-1-1-1-1-2-20000110-2001100-201100000011000
χ2822222-12-1-1222222-12-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-10-2001100-2-200-2-2111111111111220000110-200110020-1-1000000-1-1000
χ2922222-12-1-1222222-1-2-12-1-2-211-1-1111122-1-12-1-1002222-2-222221111-1-2-2-211-1-1-111110-200-1-1002200-2-211-1-1-1-1-1-11111220000-1-10-2001100-20-1-100000011000
χ3022222-12-1-1222222-1-2-12-1-2-211-1-1111122-1-12-1-10022-2-222-2-2-2-2-1-1-1-1-1-2-2-211-1-1-111110-200-1-10022002211111111-1-1-1-1-2-20000-1-10-20011002011000000-1-1000
χ3122222-12-1-1222222-1-2-12-1-2-211-1-1111122-1-12-1-100-2-222-2-222221111-1-2-2-211-1-1-1111102001100-2-200-2-2-1-1-1-1-1-1-1-11111-2-20000110200-1-1002011000000-1-1000
χ3222222-12-1-1222222-1-2-12-1-2-211-1-1111122-1-12-1-100-2-2-2-222-2-2-2-2-1-1-1-1-1-2-2-211-1-1-1111102001100-2-20022-1-1111111-1-1-1-1220000110200-1-100-20-1-100000011000
χ332222-12222-122-12-122-1-12-1-122-1-1-1-1-1-1-1-122-12-122002222-1-1-1-12222-12-1-122-1-1-1-1-1-1-120-1-1002200-1-1-1-10022-1-1-1-1-1-1-1-10022-1-10020-1-10002000000-1-1-1-100000
χ342222-12222-122-12-122-1-12-1-122-1-1-1-1-1-1-1-122-12-12200-2-2-2-21111-2-2-2-2-12-1-122-1-1-1-1-1-1-120-1-1002200-1-11100-2-21111111100-2-2-1-10020-1-1000-2000000111100000
χ352222-12222-122-12-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2002222-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-201100-2-20011-1-10022-1-1-1-1-1-1-1-100-2-21100-2011000-2000000111100000
χ362222-12222-122-12-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-200-2-2-2-21111-2-2-2-2-12-1-122-1-1-1-1-1-1-1-201100-2-200111100-2-21111111100221100-20110002000000-1-1-1-100000
χ372222-12222-122-12-12-2-1-1211-2-2-1-11111-1-122-12-1220022-2-2-1-1-1-1-2-2-2-2-1-211-2-2-1-1-11111-20-1-100220011110022-1-1-1-1111100-2-2-1-100-2011000200000011-1-100000
χ382222-12222-122-12-12-2-1-1211-2-2-1-11111-1-122-12-12200-2-22211112222-1-211-2-2-1-1-11111-20-1-100220011-1-100-2-21111-1-1-1-10022-1-100-2011000-2000000-1-11100000
χ392222-12222-122-12-12-2-1-1211-2-2-1-11111-1-122-12-1-2-20022-2-2-1-1-1-1-2-2-2-2-1-211-2-2-1-1-11111201100-2-200-1-1110022-1-1-1-111110022110020-1-1000-2000000-1-11100000
χ402222-12222-122-12-12-2-1-1211-2-2-1-11111-1-122-12-1-2-200-2-22211112222-1-211-2-2-1-1-11111201100-2-200-1-1-1-100-2-21111-1-1-1-100-2-2110020-1-1000200000011-1-100000
χ4122-2-22222-222-2-2-2-2-2022200002-20000-2-22-22-2-22-200002i−2i00002i2i−2i−2i2000002-2-20000002-2002-200002i−2i000000002i2i−2i−2i002i−2i2-200000000000000002i−2i0000000
χ4222-2-22222-222-2-2-2-2-2022200002-20000-2-22-22-2-22-20000−2i2i0000−2i−2i2i2i2000002-2-20000002-2002-20000−2i2i00000000−2i−2i2i2i00−2i2i2-20000000000000000−2i2i0000000
χ4322-2-22222-222-2-2-2-2-2022200002-20000-2-22-22-2-2-2200002i−2i00002i2i−2i−2i2000002-2-2000000-2200-2200002i−2i000000002i2i−2i−2i00−2i2i-220000000000000000−2i2i0000000
χ4422-2-22222-222-2-2-2-2-2022200002-20000-2-22-22-2-2-220000−2i2i0000−2i−2i2i2i2000002-2-2000000-2200-220000−2i2i00000000−2i−2i2i2i002i−2i-2200000000000000002i−2i0000000
χ4522-2-2-1222-2-12-21-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-212-200002i−2i33−3−32i2i−2i−2i-10−i3i300-111−i3−i3i3i300-11002-200−i3i3−ii000033−3−3−i−iii002i−2i-110000−i3i30000000000−ii3−300000
χ4622-2-2-1222-2-12-21-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-212-20000−2i2i−3−333−2i−2i2i2i-10−i3i300-111−i3−i3i3i300-11002-200−i3i3i−i0000−3−333ii−i−i00−2i2i-110000−i3i30000000000i−i−3300000
χ4722-2-2-1222-2-12-21-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-21-2200002i−2i33−3−32i2i−2i−2i-10−i3i300-111−i3−i3i3i3001-100-2200i3−i3−ii000033−3−3−i−iii00−2i2i1-10000i3−i30000000000i−i−3300000
χ4822-2-2-1222-2-12-21-21-20-1-12−i3i300-11−i3−i3i3i3112-2-1-21-220000−2i2i−3−333−2i−2i2i2i-10−i3i300-111−i3−i3i3i3001-100-2200i3−i3i−i0000−3−333ii−i−i002i−2i1-10000i3−i30000000000−ii3−300000
χ4922-2-2-1222-2-12-21-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-212-200002i−2i−3−3332i2i−2i−2i-10i3−i300-111i3i3−i3−i300-11002-200i3−i3−ii0000−3−333−i−iii002i−2i-110000i3−i30000000000−ii−3300000
χ5022-2-2-1222-2-12-21-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-212-20000−2i2i33−3−3−2i−2i2i2i-10i3−i300-111i3i3−i3−i300-11002-200i3−i3i−i000033−3−3ii−i−i00−2i2i-110000i3−i30000000000i−i3−300000
χ5122-2-2-1222-2-12-21-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-21-2200002i−2i−3−3332i2i−2i−2i-10i3−i300-111i3i3−i3−i3001-100-2200−i3i3−ii0000−3−333−i−iii00−2i2i1-10000−i3i30000000000i−i3−300000
χ5222-2-2-1222-2-12-21-21-20-1-12i3−i300-11i3i3−i3−i3112-2-1-21-220000−2i2i33−3−3−2i−2i2i2i-10i3−i300-111i3i3−i3−i3001-100-2200−i3i3i−i000033−3−3ii−i−i002i−2i1-10000−i3i30000000000−ii−3300000
χ532-22-2222-2-2-2-22-2-22202220000-2-200002-2-2-2-222002-22-2002-22-20000200000-22-2000000002-2002-20000002-22-22-200002-200002-200000000002-200000000000
χ542-22-2222-2-2-2-22-2-22202220000-2-200002-2-2-2-222002-2-2200-22-220000200000-22-2000000002-2002-2000000-22-22-220000-2200002-20000000000-2200000000000
χ552-22-2222-2-2-2-22-2-22202220000-2-200002-2-2-2-22200-222-2002-22-20000200000-22-200000000-2200-220000002-22-22-20000-220000-220000000000-2200000000000
χ562-22-2222-2-2-2-22-2-22202220000-2-200002-2-2-2-22200-22-2200-22-220000200000-22-200000000-2200-22000000-22-22-2200002-20000-2200000000002-200000000000
χ572-22-22-1211-2-22-2-22-10-12-100−i3i311−i3i3−i3i32-211-2-1-1002-22-2002-22-2−i3i3−i3i3-1000−i3i31-11−i3i3−i3i30000-11002-20000−i3i3-11-11-11−i3i3−i3i32-20000-110000−i3i30000-11000000−i3i3000
χ582-22-22-1211-2-22-2-22-10-12-100−i3i311−i3i3−i3i32-211-2-1-1002-2-2200-22-22i3−i3i3−i3-1000−i3i31-11−i3i3−i3i30000-11002-20000−i3i31-11-11-1i3−i3i3−i3-220000-110000−i3i300001-1000000i3−i3000
χ592-22-22-1211-2-22-2-22-10-12-100−i3i311−i3i3−i3i32-211-2-1-100-222-2002-22-2−i3i3−i3i3-1000−i3i31-11−i3i3−i3i300001-100-220000i3−i3-11-11-11−i3i3−i3i3-2200001-10000i3−i300001-1000000i3−i3000
χ602-22-22-1211-2-22-2-22-10-12-100−i3i311−i3i3−i3i32-211-2-1-100-22-2200-22-22i3−i3i3−i3-1000−i3i31-11−i3i3−i3i300001-100-220000i3−i31-11-11-1i3−i3i3−i32-200001-10000i3−i30000-11000000−i3i3000
χ612-22-22-1211-2-22-2-22-10-12-100i3−i311i3−i3i3−i32-211-2-1-1002-22-2002-22-2i3−i3i3−i3-1000i3−i31-11i3−i3i3−i30000-11002-20000i3−i3-11-11-11i3−i3i3−i32-20000-110000i3−i30000-11000000i3−i3000
χ622-22-22-1211-2-22-2-22-10-12-100i3−i311i3−i3i3−i32-211-2-1-1002-2-2200-22-22−i3i3−i3i3-1000i3−i31-11i3−i3i3−i30000-11002-20000i3−i31-11-11-1−i3i3−i3i3-220000-110000i3−i300001-1000000−i3i3000
χ632-22-22-1211-2-22-2-22-10-12-100i3−i311i3−i3i3−i32-211-2-1-100-222-2002-22-2i3−i3i3−i3-1000i3−i31-11i3−i3i3−i300001-100-220000−i3i3-11-11-11i3−i3i3−i3-2200001-10000−i3i300001-1000000−i3i3000
χ642-22-22-1211-2-22-2-22-10-12-100i3−i311i3−i3i3−i32-211-2-1-100-22-2200-22-22−i3i3−i3i3-1000i3−i31-11i3−i3i3−i300001-100-220000−i3i31-11-11-1−i3i3−i3i32-200001-10000−i3i30000-11000000i3−i3000
χ6544444-2-2-2-24-2-24-24-24-2-2144-2-2-2-2-2-2-2-2-2-211-21-200440000000000001-2-2-21111111110400-2-200-2-20000-2-20000000000000000110-2001100000000000000000
χ6644444-2-2-2-24-2-24-24-24-2-2144-2-2-2-2-2-2-2-2-2-211-21-200-4-40000000000001-2-2-21111111110-4002200220000220000000000000000-1-10200-1-100000000000000000
χ6744444-2-2-2-24-2-24-24-2-4-2-21-4-422-2-22222-2-211-21-200440000000000001222-1-1111-1-1-1-10-400-2-200-2-20000220000000000000000110200-1-100000000000000000
χ6844444-2-2-2-24-2-24-24-2-4-2-21-4-422-2-22222-2-211-21-200-4-40000000000001222-1-1111-1-1-1-104002200220000-2-20000000000000000-1-10-2001100000000000000000
χ694444-24-244-2-2-2-2-2-244-21-2-2-244-2-2-2-2-2-211-2-21-2-244000000000000001-211-2-2111111140-2-200-2-200-2-20000000000000000001100-20110000000000000000000
χ704444-24-244-2-2-2-2-2-244-21-2-2-244-2-2-2-2-2-211-2-21-2-2-4-4000000000000001-211-2-21111111-402200220022000000000000000000-1-10020-1-10000000000000000000
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Here i is the imaginary unit (i² = −1).