Finite Group Databasebeta

← Group #13172219

Character table — Group #13172219

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666623336666666666666666644441212121236666666666664444121212121212121212121212121212121212121212124412121212121212121212121224444661212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1111111111111111-1-1-11111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111-111111-1-1-1-1-1-111111111111111-1-1-1111-1-1-1-11111-11-11-1-1-1-1-1-1-11-11-1-1
χ4111111111111111111111111111111111111111-1-111111111111111111-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-11-111
χ51111111111111111111111111111111111111-1-111-1-1-1-111111111111111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1111-1-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-11-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11111-1-11-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1-1-11-1-1-111-1-111-1-111-1-11111-1-1-1-111-11-1111-1-111-1-1-11-1-11-1-111-1-1-111-11
χ101111111111111111-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1-1-1-11-1-111-1-1111111-1-11111-1-1-1-111-1-11-111-1-1-1-1111-1-11-11111-1-11-1-11-1
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111111-1-1-1-1-1111-1-1-1-11-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-11-1-11111-1-1111-1-111-1-111-1-111-1
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111111-1-1-1-1-1111-1-1-1-11-1-11-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11-11-1-1-111-1-111-1-1111-1-1-1-11111-1-11
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-11111-1-111-1-1-1-111-1-1-1-11111-1-1-11-1111-1-111-1-1-1-1111-1-1-1-11111-11-1
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-111111-1-11111-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-111111-1-111-1-111-1-11-11
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1111-111-1-111-1-1-1-1-1-111-1-1-1-111111111-11-1-11111-1-11-1-11-11111-1-11-1-1-11
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1111-1-111-1-111-1-111-1-1-1-11111111-11-1-1-111-1-111-11-1-11-1-111-1-1-1111-1
χ17222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-1200220000-1-1-1-1-1-1-1-1-1-1-1-1-12022002222-1-1-1-100000000000000-1-122-1-1-1-1-1-1-1-120002-1-100000-1000
χ18222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-1200220000-1-1-1-1-1-1-1-1-1-1-1-1-120-2-2002222-1-11100000000000000-11-2-2-1-1-1-11111-2000-211000001000
χ19222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-1200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-202200-2-2-2-211-1-1000000000000001-1221111-1-1-1-1-2000-211000001000
χ20222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-1200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-200-2-2-2-211110000000000000011-2-21111111120002-1-100000-1000
χ21222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1200220000-111111-1-1-11111-202-20022-2-2-1-111000000000000001-1-22-1-111-1-111-200021100000-1000
χ22222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1200220000-111111-1-1-11111-20-220022-2-2-1-1-1-100000000000000112-2-1-11111-1-12000-2-1-1000001000
χ23222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1200-2-20000-111111-1-1-11111202-200-2-222111100000000000000-1-1-2211-1-1-1-1112000-2-1-1000001000
χ24222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1200-2-20000-111111-1-1-1111120-2200-2-22211-1-100000000000000-112-211-1-111-1-1-200021100000-1000
χ2522222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-12200-1-1-1-1-1-122002222-1-1-1-1-1-1-1-1222000-1-1-1-100000020000-1-1-1-100000
χ2622222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-122-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2200-1-11111-2-2002222-1-1-1-1-1-1-1-1-2-2-20001111000000-20000111100000
χ2722222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2221111-1222-1-1-1-1-1-1-1-1-12-20011-1-1-1-12200-2-2-2-211111111-2-22000-1-1-1-1000000-20000111100000
χ2822222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-2-200111111-2-200-2-2-2-21111111122-2000111100000020000-1-1-1-100000
χ2922222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-12222-1-1-1-1-1-2-2-211-1-1-11111-2-20011-1-111220022-2-2-1-1-1-1111122-2000-1-111000000-20000-1-11100000
χ3022222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-122-2-2-1-1-1-1-1-2-2-211-1-1-111112-2001111-1-1-2-20022-2-2-1-1-1-11111-2-2200011-1-10000002000011-1-100000
χ3122222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-1-2-2221111-1-2-2-211-1-1-11111-2200-1-1-1-1112200-2-2221111-1-1-1-1-2-2-2000-1-1110000002000011-1-100000
χ3222222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-1-2-2-2-21111-1-2-2-211-1-1-111112200-1-111-1-1-2-200-2-2221111-1-1-1-122200011-1-1000000-20000-1-11100000
χ332222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-122002222-12-1-122-1-1-1-1-1-1-102222200000022-1-1-1-1-1-1-1-1-1-1-1-10002-1-10000-1-1-1-102020000000-10-100
χ342222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-122002222-12-1-122-1-1-1-1-1-1-102-2-222000000-2-2-1-1-1-1-1-1-1-1-1-1-1-1000-211000011110-20-2000000010100
χ352222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-10-222-2-2000000221111111111110002-1-10000-1-1-1-10-20-2000000010100
χ362222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-10-2-2-2-2-2000000-2-2111111111111000-2110000111102020000000-10-100
χ372222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-122002222-1-211-2-2-1-1-111110-22-2-2-2000000-2-2-1-111-1-1-1-1111100021-10000-1-111020-2000000010-100
χ382222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-122002222-1-211-2-2-1-1-111110-2-22-2-200000022-1-111-1-1-1-11111000-2-11000011-1-10-2020000000-10100
χ392222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-1-2-200-2-2-2-2-1-211-2-2-1-1-11111022-222000000-2-211-1-11111-1-1-1-100021-10000-1-1110-2020000000-10100
χ402222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-1-2-200-2-2-2-2-1-211-2-2-1-1-1111102-22220000002211-1-11111-1-1-1-1000-2-11000011-1-1020-2000000010-100
χ412-22-2222-22-22-2-2-2-2202220000-2-2-2200002-2-2-222-22i−2i22-2-22000002-2-200000000002i−2i002i−2i002-20022-2-200002i−2i00002i−2i00000000000002i−2i0000000
χ422-22-2222-22-22-2-2-2-2202220000-2-2-2200002-2-2-222-2−2i2i22-2-22000002-2-20000000000−2i2i00−2i2i002-20022-2-20000−2i2i0000−2i2i0000000000000−2i2i0000000
χ432-22-2222-22-22-2-2-2-2202220000-2-2-2200002-2-2-22-222i−2i-2-2222000002-2-200000000002i−2i002i−2i00-2200-2-2220000−2i2i00002i−2i0000000000000−2i2i0000000
χ442-22-2222-22-22-2-2-2-2202220000-2-2-2200002-2-2-22-22−2i2i-2-2222000002-2-20000000000−2i2i00−2i2i00-2200-2-22200002i−2i0000−2i2i00000000000002i−2i0000000
χ452-22-22-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i32-211-12-22i−2i-1-111-1000−i3i3-111−i3−i3i3i30000−i3i3−ii3−32i−2i002-200-1-111−i3−i3i3i32i−2i0000−ii3−300000000000−ii3−300000
χ462-22-22-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i32-211-12-2−2i2i-1-111-1000−i3i3-111−i3−i3i3i30000−i3i3i−i−33−2i2i002-200-1-111−i3−i3i3i3−2i2i0000i−i−3300000000000i−i−3300000
χ472-22-22-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i32-211-1-222i−2i11-1-1-1000−i3i3-111−i3−i3i3i30000i3−i3−ii3−32i−2i00-220011-1-1i3i3−i3−i3−2i2i0000−ii3−300000000000i−i−3300000
χ482-22-22-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i32-211-1-22−2i2i11-1-1-1000−i3i3-111−i3−i3i3i30000i3−i3i−i−33−2i2i00-220011-1-1i3i3−i3−i32i−2i0000i−i−3300000000000−ii3−300000
χ492-22-22-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i32-211-12-22i−2i-1-111-1000i3−i3-111i3i3−i3−i30000i3−i3−ii−332i−2i002-200-1-111i3i3−i3−i32i−2i0000−ii−3300000000000−ii−3300000
χ502-22-22-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i32-211-12-2−2i2i-1-111-1000i3−i3-111i3i3−i3−i30000i3−i3i−i3−3−2i2i002-200-1-111i3i3−i3−i3−2i2i0000i−i3−300000000000i−i3−300000
χ512-22-22-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i32-211-1-222i−2i11-1-1-1000i3−i3-111i3i3−i3−i30000−i3i3−ii−332i−2i00-220011-1-1−i3−i3i3i3−2i2i0000−ii−3300000000000i−i3−300000
χ522-22-22-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i32-211-1-22−2i2i11-1-1-1000i3−i3-111i3i3−i3−i30000−i3i3i−i3−3−2i2i00-220011-1-1−i3−i3i3i32i−2i0000i−i3−300000000000−ii−3300000
χ5344444-2-24-2-2-24-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-2004400001-2-2-2111111111400000-2-2-2-2-2-20000000000000000-2000111100000000000000000000
χ5444444-2-24-2-2-24-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-200-4-400001-2-2-2111111111-40000022222200000000000000002000-1-1-1-100000000000000000000
χ5544444-2-24-2-2-24-2-2-24-4-2-21-4-422-2-2-212222-2-211-2004400001222-1-1111-1-1-1-1-400000-2-222-2-20000000000000000200011-1-100000000000000000000
χ5644444-2-24-2-2-24-2-2-24-4-2-21-4-422-2-2-212222-2-211-200-4-400001222-1-1111-1-1-1-140000022-2-2220000000000000000-2000-1-11100000000000000000000
χ574444-24-2-2-2-24-244-2-24-21-2-2-244-2-21-2-2-2-2-211-2-2-2000000001-211-2-21111111004400000000-2-2000000000000000-2-2-2000011110000000000000000
χ584444-24-2-2-2-24-244-2-24-21-2-2-244-2-21-2-2-2-2-211-2-2-2000000001-211-2-2111111100-4-400000000220000000000000002220000-1-1-1-10000000000000000
χ594444-24-2-2-2-24-244-2-2-4-21-222-4-4-2-21-2222211-2-2-20000000012-1-122111-1-1-1-1004-40000000022000000000000000-22-2000011-1-10000000000000000
χ604444-24-2-2-2-24-244-2-2-4-21-222-4-4-2-21-2222211-2-2-20000000012-1-122111-1-1-1-100-4400000000-2-20000000000000002-220000-1-1110000000000000000
χ614444-2-24-244-2-2-2-24-241-2-2-2-2-2-211-2-21111-2-2-2-214400-2-2-2-214-2-2-2-211111110400-2-200000000-2-2-2-211111111000000000000000000000000000000
χ624444-2-24-244-2-2-2-24-241-2-2-2-2-2-211-2-21111-2-2-2-21-4-400222214-2-2-2-211111110-40022000000002222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ634444-2-24-244-2-2-2-24-2-41-2-2222211-2-2-1-1-1-1-2-2-2-214400-2-2-2-21-42222111-1-1-1-10-4002200000000-2-2221111-1-1-1-1000000000000000000000000000000
χ644444-2-24-244-2-2-2-24-2-41-2-2222211-2-2-1-1-1-1-2-2-2-21-4-40022221-42222111-1-1-1-10400-2-20000000022-2-2-1-1-1-11111000000000000000000000000000000
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χ7444-4-4-24-2-22-2-424-4220-21-22i3−2i300-22122i3−2i32i3−2i3-1-1-2220000000010−i3i300-11-1−i3i3−i3i300000000000023−230000000000000000000000−3i3i−330000000000000000
χ7544-4-4-24-2-22-2-424-4220-21-22i3−2i300-22122i3−2i32i3−2i3-1-1-2220000000010−i3i300-11-1−i3i3−i3i3000000000000−232300000000000000000000003i−3i3−30000000000000000
χ7644-4-4-2-24-2-4422-22-4201-2-2−2i32i3001-1-22i3−i3i3−i322-22-1000023−2323−2310−2i32i300-11-1i3−i3i3−i3000000000000000000−33−333i−3i3i−3i000000000000000000000000000000
χ7744-4-4-2-24-2-4422-22-4201-2-2−2i32i3001-1-22i3−i3i3−i322-22-10000−2323−232310−2i32i300-11-1i3−i3i3−i30000000000000000003−33−3−3i3i−3i3i000000000000000000000000000000
χ7844-4-4-2-24-2-4422-22-4201-2-22i3−2i3001-1-22−i3i3−i3i322-22-1000023−2323−23102i3−2i300-11-1−i3i3−i3i3000000000000000000−33−33−3i3i−3i3i000000000000000000000000000000
χ7944-4-4-2-24-2-4422-22-4201-2-22i3−2i3001-1-22−i3i3−i3i322-22-10000−2323−2323102i3−2i300-11-1−i3i3−i3i30000000000000000003−33−33i−3i3i−3i000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).