Finite Group Databasebeta

← Group #13172177

Character table — Group #13172177

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order1222333666666666233366666666666666666444412121212366666666666644441212121212121212121212121212121212121212121222121212121212121212121212224446612121212661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-111-11111-1-1111111111111111111-1-11-11111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-11-1-1-1-11111-1-1111111111111-1-111-11-1-1-1-111111-1-11-1-1-1-1-1-1-11-11-1-1
χ4111111111111111111111111111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-11-111
χ51111111111111111111111111111111111111-1-111-1-1-1-111111111111111-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-11-1-1-1-111-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1-11-1-1-1-1-1-1-11-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-11-1-11111-1-1-1-1-111
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
χ91111111111111111-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-11-1-1-111-1-111-1-11111-1-11111-1-1-1-1111-1-1-111-1-111-1-1-1-1-11111-1-111-1-111-1
χ101111111111111111-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-111-11-1111-1-1-1-11111-1-1-111-1-1-1-111-1-11
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111111-1-1-1-1-1111-1-1-1-11-11-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-1-11111-1-1-1111-1-1-111-1-1-111-11
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-111-1-1111-11-11-1-111111-1-11-1
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-111-1-1-1-11111-1-11-1-1-111-1-111-1-11-11-11-1-111111-1-1-11
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-11-1111-1-1-1-111-1111-1-1-111-1-1-1111-1
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1111-1-1-1111111-1-1-1-111-1-1-1-11111111-11-1-1-11111-1-111-1-1-111-1-1-1-111-11-1
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-1111-1-111-1-111-1-1-1-111-1-1-1-1111111-1111-1-111-1-111-1-1-11111-1-111-1-11-11
χ17222222-12222-1-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1022022-1-100-1-1-1-12222-1-1-1-1-1-1-1-1220020-1-1-1-1000000200-1-1-1-10000000
χ18222222-12222-1-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-122-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-102-20-2-21100-1-1112222-1-1-1-1-1-1-1-1-2-200-201111000000-20011110000000
χ19222222-12222-1-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-1-2-2221111-1222-1-1-1-1-1-1-1-1-10-22022-1-10011-1-1-2-2-2-211111111-2-20020-1-1-1-1000000-20011110000000
χ20222222-12222-1-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-21111-1222-1-1-1-1-1-1-1-1-10-2-20-2-211001111-2-2-2-2111111112200-201111000000200-1-1-1-10000000
χ21222222-12222-1-1-122-22-1-1-2-2112-1-1-1111122-1-1-12222-1-1-1-1-1-2-2-211-1-1-111110-2-2022110011-1-122-2-2-1-1-1-111112200-20-1-111000000-200-1-1110000000
χ22222222-12222-1-1-122-22-1-1-2-2112-1-1-1111122-1-1-122-2-2-1-1-1-1-1-2-2-211-1-1-111110-220-2-2-1-100111122-2-2-1-1-1-11111-2-2002011-1-100000020011-1-10000000
χ23222222-12222-1-1-122-22-1-1-2-2112-1-1-1111122-1-1-1-2-2221111-1-2-2-211-1-1-1111102-20221100-1-1-1-1-2-2221111-1-1-1-1-2-200-20-1-11100000020011-1-10000000
χ24222222-12222-1-1-122-22-1-1-2-2112-1-1-1111122-1-1-1-2-2-2-21111-1-2-2-211-1-1-111110220-2-2-1-100-1-111-2-2221111-1-1-1-122002011-1-1000000-200-1-1110000000
χ2522222-1222-1-12222-12-12-12222-122-12222-1-1-1-1200220000-1-1-1-1-1-1-1-1-1-1-1-1-12022-1-122-1-100220000000000000022-1-1-1-1-1-1-1-1-1-1020020000-1-10-1000
χ2622222-1222-1-12222-12-12-12222-122-12222-1-1-1-1200220000-1-1-1-1-1-1-1-1-1-1-1-1-1-202-2-1-12211002200000000000000-2-2-11-1-1-1-111110-200-200001101000
χ2722222-1222-1-12222-12-12-12222-122-12222-1-1-1-1200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-120-2211-2-2-1-100-2-200000000000000221-11111-1-1-1-10-200-200001101000
χ2822222-1222-1-12222-12-12-12222-122-12222-1-1-1-1200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-211-2-21100-2-200000000000000-2-21111111111020020000-1-10-1000
χ2922222-1222-1-12222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-1200220000-111111-1-1-1111120-2-2-1-1-2-2-1-10022000000000000002-211-1-111-1-1110-20020000-1-101000
χ3022222-1222-1-12222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-1200220000-111111-1-1-11111-20-22-1-1-2-211002200000000000000-221-1-1-11111-1-10200-20000110-1000
χ3122222-1222-1-12222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-1200-2-20000-111111-1-1-11111202-21122-1-100-2-2000000000000002-2-1111-1-1-1-1110200-20000110-1000
χ3222222-1222-1-12222-1-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-1200-2-20000-111111-1-1-11111-202211221100-2-200000000000000-22-1-111-1-111-1-10-20020000-1-101000
χ332222-122-1-122222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-122002222-12-1-122-1-1-1-1-1-1-122020000222200-1-1-1-1-1-1-1-1-1-1-1-100-1-1020000-1-1-1-120020000000-10-100
χ342222-122-1-122222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-122002222-12-1-122-1-1-1-1-1-1-1-220-20000-2-22200-1-1-1-1-1-1-1-1-1-1-1-100110-200001111-200-2000000010100
χ352222-122-1-122222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-12-202000022-2-20011111111111100-1-1020000-1-1-1-1-200-2000000010100
χ362222-122-1-122222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-1-2-20-20000-2-2-2-20011111111111100110-20000111120020000000-10-100
χ372222-122-1-122222-12-2-1-1211-2-2-1-1-121111-1-122-122002222-1-211-2-2-1-1-111112-20-2000022-2-200-1-111-1-1-1-1111100-110-20000-1-111-2002000000010-100
χ382222-122-1-122222-12-2-1-1211-2-2-1-1-121111-1-122-122002222-1-211-2-2-1-1-11111-2-2020000-2-2-2-200-1-111-1-1-1-11111001-102000011-1-1200-20000000-10100
χ392222-122-1-122222-12-2-1-1211-2-2-1-1-121111-1-122-1-2-200-2-2-2-2-1-211-2-2-1-1-11111220-2000022220011-1-11111-1-1-1-100-110-20000-1-111200-20000000-10100
χ402222-122-1-122222-12-2-1-1211-2-2-1-1-121111-1-122-1-2-200-2-2-2-2-1-211-2-2-1-1-11111-22020000-2-2220011-1-11111-1-1-1-1001-102000011-1-1-2002000000010-100
χ4122-2-22222-22-2-22-2-2-202220000-22-2200002-2-2-2-22i−2i2i−2i2i2i−2i−2i2000002-2-2000000002i−2i0000002i−2i2i−2i002i2i−2i−2i00002-200002i−2i000000000002-2000000000
χ4222-2-22222-22-2-22-2-2-202220000-22-2200002-2-2-2-22i−2i−2i2i2i2i−2i−2i2000002-2-200000000−2i2i000000−2i2i2i−2i002i2i−2i−2i0000-220000−2i2i00000000000-22000000000
χ4322-2-22222-22-2-22-2-2-202220000-22-2200002-2-2-2-2−2i2i2i−2i−2i−2i2i2i2000002-2-2000000002i−2i0000002i−2i−2i2i00−2i−2i2i2i0000-2200002i−2i00000000000-22000000000
χ4422-2-22222-22-2-22-2-2-202220000-22-2200002-2-2-2-2−2i2i−2i2i−2i−2i2i2i2000002-2-200000000−2i2i000000−2i2i−2i2i00−2i−2i2i2i00002-20000−2i2i000000000002-2000000000
χ4522-2-222-12-22-21-11-2-202-1-100−i3i3-2-11-1−i3−i3i3i32-21112i−2i2i−2i−i−iii-1000−i3i3-111−i3−i3i3i300002i−2i3−3003−3−ii2i−2i00−i−iii33−3−32-20000−ii3−3000000000-11−i3i30000000
χ4622-2-222-12-22-21-11-2-202-1-100−i3i3-2-11-1−i3−i3i3i32-21112i−2i−2i2i−i−iii-1000−i3i3-111−i3−i3i3i30000−2i2i−33003−3i−i2i−2i00−i−iii33−3−3-220000i−i−330000000001-1i3−i30000000
χ4722-2-222-12-22-21-11-2-202-1-100−i3i3-2-11-1−i3−i3i3i32-2111−2i2i2i−2iii−i−i-1000−i3i3-111−i3−i3i3i300002i−2i3−300−33−ii−2i2i00ii−i−i−3−333-220000−ii3−30000000001-1i3−i30000000
χ4822-2-222-12-22-21-11-2-202-1-100−i3i3-2-11-1−i3−i3i3i32-2111−2i2i−2i2iii−i−i-1000−i3i3-111−i3−i3i3i30000−2i2i−3300−33i−i−2i2i00ii−i−i−3−3332-20000i−i−33000000000-11−i3i30000000
χ4922-2-222-12-22-21-11-2-202-1-100i3−i3-2-11-1i3i3−i3−i32-21112i−2i2i−2i−i−iii-1000i3−i3-111i3i3−i3−i300002i−2i−3300−33−ii2i−2i00−i−iii−3−3332-20000−ii−33000000000-11i3−i30000000
χ5022-2-222-12-22-21-11-2-202-1-100i3−i3-2-11-1i3i3−i3−i32-21112i−2i−2i2i−i−iii-1000i3−i3-111i3i3−i3−i30000−2i2i3−300−33i−i2i−2i00−i−iii−3−333-220000i−i3−30000000001-1−i3i30000000
χ5122-2-222-12-22-21-11-2-202-1-100i3−i3-2-11-1i3i3−i3−i32-2111−2i2i2i−2iii−i−i-1000i3−i3-111i3i3−i3−i300002i−2i−33003−3−ii−2i2i00ii−i−i33−3−3-220000−ii−330000000001-1−i3i30000000
χ5222-2-222-12-22-21-11-2-202-1-100i3−i3-2-11-1i3i3−i3−i32-2111−2i2i−2i2iii−i−i-1000i3−i3-111i3i3−i3−i30000−2i2i3−3003−3i−i−2i2i00ii−i−i33−3−32-20000i−i3−3000000000-11i3−i30000000
χ5344444-2-244-2-2-2-2-24-24-2-2144-2-2-2-2-21-2-2-2-2-2-211-2004400001-2-2-21111111110040-2-2-2-20000-2-20000000000000000-20111100000000000000000000
χ5444444-2-244-2-2-2-2-24-24-2-2144-2-2-2-2-21-2-2-2-2-2-211-200-4-400001-2-2-211111111100-402222000022000000000000000020-1-1-1-100000000000000000000
χ5544444-2-244-2-2-2-2-24-2-4-2-21-4-422-2-2-212222-2-211-2004400001222-1-1111-1-1-1-100-40-2-2220000-2-200000000000000002011-1-100000000000000000000
χ5644444-2-244-2-2-2-2-24-2-4-2-21-4-422-2-2-212222-2-211-200-4-400001222-1-1111-1-1-1-1004022-2-20000220000000000000000-20-1-11100000000000000000000
χ574444-24-2-2-244-2-2-2-244-21-2-2-2-2-2-211-21111-2-2-2-214400-2-2-2-214-2-2-2-211111110400000000-2-200-2-2-2-211111111000000000000000000000000000000
χ584444-24-2-2-244-2-2-2-244-21-2-2-2-2-2-211-21111-2-2-2-21-4-400222214-2-2-2-211111110-40000000022002222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ594444-24-2-2-244-2-2-2-24-4-21-22222-211-2-1-1-1-1-2-2-2-214400-2-2-2-21-42222111-1-1-1-10-4000000002200-2-2221111-1-1-1-1000000000000000000000000000000
χ604444-24-2-2-244-2-2-2-24-4-21-22222-211-2-1-1-1-1-2-2-2-21-4-40022221-42222111-1-1-1-10400000000-2-20022-2-2-1-1-1-11111000000000000000000000000000000
χ614444-2-24-2-2-2-2444-2-241-2-2-2-2441-2-2-2-2-2-2-211-2-2-2000000001-211-2-2111111140040000-2-2000000000000000000-2-20-2000011110000000000000000
χ624444-2-24-2-2-2-2444-2-241-2-2-2-2441-2-2-2-2-2-2-211-2-2-2000000001-211-2-21111111-400-400002200000000000000000022020000-1-1-1-10000000000000000
χ634444-2-24-2-2-2-2444-2-2-41-2-222-4-41-2-2-2222211-2-2-20000000012-1-122111-1-1-1-1400-40000-2-2000000000000000000-2202000011-1-10000000000000000
χ644444-2-24-2-2-2-2444-2-2-41-2-222-4-41-2-2-2222211-2-2-20000000012-1-122111-1-1-1-1-40040000220000000000000000002-20-20000-1-1110000000000000000
χ6544-4-44-244-4-22-44-4-420-24-2000024-4-20000-2222-4004i−4i0000-200000-22200000000−2i2i0000004i−4i000000000000000000−2i2i0000000000000000000000
χ6644-4-44-244-4-22-44-4-420-24-2000024-4-20000-2222-400−4i4i0000-200000-222000000002i−2i000000−4i4i0000000000000000002i−2i0000000000000000000000
χ6744-4-44-2-24-4-222-22-420-2-2100−2i32i32-221−2i3−2i32i32i3-22-1-12004i−4i00001000i3−i31-1-1i3i3−i3−i30000−2i2i23−230000−2i2i000000000000000000i−i−3300000000000000000000
χ6844-4-44-2-24-4-222-22-420-2-2100−2i32i32-221−2i3−2i32i32i3-22-1-1200−4i4i00001000i3−i31-1-1i3i3−i3−i300002i−2i−232300002i−2i000000000000000000−ii3−300000000000000000000
χ6944-4-44-2-24-4-222-22-420-2-21002i3−2i32-2212i32i3−2i3−2i3-22-1-12004i−4i00001000−i3i31-1-1−i3−i3i3i30000−2i2i−23230000−2i2i000000000000000000i−i3−300000000000000000000
χ7044-4-44-2-24-4-222-22-420-2-21002i3−2i32-2212i32i3−2i3−2i3-22-1-1200−4i4i00001000−i3i31-1-1−i3−i3i3i300002i−2i23−2300002i−2i000000000000000000−ii−3300000000000000000000
χ7144-4-4-244-224-4-44-42-40-2-2400002-2240000-22-4-424i−4i004i4i−4i−4i-200000-222000000000000000000−2i2i00−2i−2i2i2i0000000000000000000000000000000000
χ7244-4-4-244-224-4-44-42-40-2-2400002-2240000-22-4-42−4i4i00−4i−4i4i4i-200000-2220000000000000000002i−2i002i2i−2i−2i0000000000000000000000000000000000
χ7344-4-4-24-2-224-42-222-40-21-200−2i32i321-1-2i3i3−i3−i3-2222-14i−4i00−2i−2i2i2i1000−2i32i31-1-1i3i3−i3−i3000000000023−2300−2i2i00ii−i−i−3−333000000000000000000000000000000
χ7444-4-4-24-2-224-42-222-40-21-200−2i32i321-1-2i3i3−i3−i3-2222-1−4i4i002i2i−2i−2i1000−2i32i31-1-1i3i3−i3−i30000000000−2323002i−2i00−i−iii33−3−3000000000000000000000000000000
χ7544-4-4-24-2-224-42-222-40-21-2002i3−2i321-1-2−i3−i3i3i3-2222-14i−4i00−2i−2i2i2i10002i3−2i31-1-1−i3−i3i3i30000000000−232300−2i2i00ii−i−i33−3−3000000000000000000000000000000
χ7644-4-4-24-2-224-42-222-40-21-2002i3−2i321-1-2−i3−i3i3i3-2222-1−4i4i002i2i−2i−2i10002i3−2i31-1-1−i3−i3i3i3000000000023−23002i−2i00−i−iii−3−333000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).