Finite Group Databasebeta

← Group #13139198

Character table — Group #13139198

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size112222244444666666889912121212121212121212121212181818181818182424242424242424363636363636363636363636363636367272727272727272
order1223446688121233661212242444366612121212122424242422466121261224242424242422446888888122424242466121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111-1-11111111111111-1-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1-111
χ511111111-1-111111111-1-111111111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ611111111-1-111111111-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111
χ711111111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-111-1111111-1-1-1-111
χ811111111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11111-1-1-11111-1-11111-1-1
χ91111-1-111i−i-1-11111-1-1i−i111111-1-1-1-1-1ii−i−i-1-11-1-1111-1iii−i−i−i1-11-1-1i−ii−ii−i1ii−i−i1-11-1i−ii−i
χ101111-1-111i−i-1-11111-1-1i−i111111-1-1-1-1-1ii−i−i-1-11-1-1111-1iii−i−i−i-11-11-1i−i−ii−ii1ii−i−i-11-11−ii−ii
χ111111-1-111i−i-1-11111-1-1i−i-1-11111-1-1-1-1-1ii−i−i11-111-1-11-1iii−i−i−i1-1-111−iii−i−ii-1−i−iii1-1-11i−i−ii
χ121111-1-111i−i-1-11111-1-1i−i-1-11111-1-1-1-1-1ii−i−i11-111-1-11-1iii−i−i−i-111-11−ii−iii−i-1−i−iii-111-1−iii−i
χ131111-1-111−ii-1-11111-1-1−ii111111-1-1-1-1-1−i−iii-1-11-1-1111-1−i−i−iiii1-11-1-1−ii−ii−ii1−i−iii1-11-1−ii−ii
χ141111-1-111−ii-1-11111-1-1−ii111111-1-1-1-1-1−i−iii-1-11-1-1111-1−i−i−iiii-11-11-1−iii−ii−i1−i−iii-11-11i−ii−i
χ151111-1-111−ii-1-11111-1-1−ii-1-11111-1-1-1-1-1−i−iii11-111-1-11-1−i−i−iiii1-1-111i−i−iii−i-1ii−i−i1-1-11−iii−i
χ161111-1-111−ii-1-11111-1-1−ii-1-11111-1-1-1-1-1−i−iii11-111-1-11-1−i−i−iiii-111-11i−ii−i−ii-1ii−i−i-111-1i−i−ii
χ172222222222222-1-12-1-12222-12-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12-1-12-1-10000-1220000-1-1-1-1-100000000
χ182222222222222-1-12-1-122-2-2-12-1-1-12-1-12-1-1-1-1-2-2-21111-1-12-1-12-1-100001-2-200001111100000000
χ19222222222222-122-1222200-1-12-12-1-1-1-122220000000-1-1-1-1-1-1-1-1002200000220000000-1-100-1-1
χ20222222222222-122-1222200-1-12-12-1-1-1-122220000000-1-1-1-1-1-1-1-100-2-200000-2-20000000110011
χ2122222222-2-2222-1-12-1-1-2-222-12-1-1-12-1-121111222-1-1-1-1-1-1-211-2110000-1-2-20000-1111100000000
χ2222222222-2-2222-1-12-1-1-2-2-2-2-12-1-1-12-1-121111-2-2-21111-1-1-211-211000012200001-1-1-1-100000000
χ2322222222-2-222-122-122-2-200-1-12-12-1-1-1-1-2-2-2-20000000-1-1111111002200000-2-20000000-1-10011
χ2422222222-2-222-122-122-2-200-1-12-12-1-1-1-1-2-2-2-20000000-1-111111100-2-2000002200000001100-1-1
χ252222-2-2222i−2i-2-22-1-12112i−2i22-12-1-11-211-2−i−iii-2-2211-1-1-112i−i−i−2iii000012i−2i0000-1−i−iii00000000
χ262222-2-2222i−2i-2-22-1-12112i−2i-2-2-12-1-11-211-2−i−iii22-2-1-111-112i−i−i−2iii0000-1−2i2i00001ii−i−i00000000
χ272222-2-2222i−2i-2-2-122-1-2-22i−2i00-1-12-1-211112i2i−2i−2i0000000-11−i−i−iiii002-2000002i−2i0000000-1100−ii
χ282222-2-2222i−2i-2-2-122-1-2-22i−2i00-1-12-1-211112i2i−2i−2i0000000-11−i−i−iiii00-2200000−2i2i00000001-100i−i
χ292222-2-222−2i2i-2-22-1-1211−2i2i22-12-1-11-211-2ii−i−i-2-2211-1-1-11−2iii2i−i−i00001−2i2i0000-1ii−i−i00000000
χ302222-2-222−2i2i-2-22-1-1211−2i2i-2-2-12-1-11-211-2ii−i−i22-2-1-111-11−2iii2i−i−i0000-12i−2i00001−i−iii00000000
χ312222-2-222−2i2i-2-2-122-1-2-2−2i2i00-1-12-1-21111−2i−2i2i2i0000000-11iii−i−i−i002-200000−2i2i0000000-1100i−i
χ322222-2-222−2i2i-2-2-122-1-2-2−2i2i00-1-12-1-21111−2i−2i2i2i0000000-11iii−i−i−i00-22000002i−2i00000001-100−ii
χ3322-222-22-2002-222222200222-2-22-2222-200002-2-22222-2-20000000000-2000000-2000000000000
χ3422-222-22-2002-222222200-2-22-2-22-2222-20000-222-2-2-2-2-2-2000000000020000002000000000000
χ3522-222-22-2002-22-1-12-1-10022-1-21-112-1-1-2−i3i3−i3i32-2-2-1-1-1-1110−i3i30−i3i3000010000001−i3i3−i3i300000000
χ3622-222-22-2002-22-1-12-1-10022-1-21-112-1-1-2i3−i3i3−i32-2-2-1-1-1-1110i3−i30i3−i3000010000001i3−i3i3−i300000000
χ3722-222-22-2002-22-1-12-1-100-2-2-1-21-112-1-1-2−i3i3−i3i3-2221111110−i3i30−i3i30000-1000000-1i3−i3i3−i300000000
χ3822-222-22-2002-22-1-12-1-100-2-2-1-21-112-1-1-2i3−i3i3−i3-2221111110i3−i30i3−i30000-1000000-1−i3i3−i3i300000000
χ3922-22-222-200-222222-2-200222-2-222-2-2-220000-22-2-2-222-2200000000002000000-2000000000000
χ4022-22-222-200-222222-2-200-2-22-2-222-2-2-2200002-2222-2-2-220000000000-20000002000000000000
χ4122-22-222-200-222-1-12110022-1-21-1-1-21123−3−33-22-211-1-11-103−30−330000-100000013−3−3300000000
χ4222-22-222-200-222-1-12110022-1-21-1-1-2112−333−3-22-211-1-11-10−3303−30000-10000001−333−300000000
χ4322-22-222-200-222-1-121100-2-2-1-21-1-1-21123−3−332-22-1-1111-103−30−3300001000000-1−333−300000000
χ4422-22-222-200-222-1-121100-2-2-1-21-1-1-2112−333−32-22-1-1111-10−3303−300001000000-13−3−3300000000
χ45444444444444-2-2-2-2-2-244001-2-21-2-211-2-2-2-2-2000000011-211-211000000000000000000000000
χ4644444444-4-444-2-2-2-2-2-2-4-4001-2-21-2-211-222220000000112-1-12-1-1000000000000000000000000
χ474444-4-4444i−4i-4-4-2-2-2-2224i−4i001-2-2122-1-12−2i−2i2i2i00000001-1−2iii2i−i−i000000000000000000000000
χ484444-4-444−4i4i-4-4-2-2-2-222−4i4i001-2-2122-1-122i2i−2i−2i00000001-12i−i−i−2iii000000000000000000000000
χ4944-444-44-4004-4-244-2440000-22-4-2-4-2-2-220000000000022000000000000000000000000000000
χ5044-444-44-4004-4-2-2-2-2-2-2000012212-2112−2i32i3−2i32i30000000-1-10i3−i30i3−i3000000000000000000000000
χ5144-444-44-4004-4-2-2-2-2-2-2000012212-21122i3−2i32i3−2i30000000-1-10−i3i30−i3i3000000000000000000000000
χ5244-44-444-400-44-244-2-4-40000-22-4-24222-2000000000002-2000000000000000000000000000000
χ5344-44-444-400-44-2-2-2-22200001221-22-1-1-223−23−23230000000-110−3303−3000000000000000000000000
χ5444-44-444-400-44-2-2-2-22200001221-22-1-1-2−232323−230000000-1103−30−33000000000000000000000000
χ554-40400-40000044-4-400004i−4i400-4000000000000004i−4i00000000000000000000000000000000
χ564-40400-40000044-4-40000−4i4i400-400000000000000−4i4i00000000000000000000000000000000
χ574-40400-4000004-22-423−23004i−4i-20020023−2300000000−2i32i3−2i2i00000000000000000000000000000000
χ584-40400-4000004-22-423−2300−4i4i-20020023−23000000002i3−2i32i−2i00000000000000000000000000000000
χ594-40400-4000004-22-4−2323004i−4i-200200−2323000000002i3−2i3−2i2i00000000000000000000000000000000
χ604-40400-4000004-22-4−232300−4i4i-200200−232300000000−2i32i32i−2i00000000000000000000000000000000
χ61666-366-3-366-3-3000000-3-30000000000000000000000000000002200000220000000-1-100-1-100
χ62666-366-3-366-3-3000000-3-3000000000000000000000000000000-2-200000-2-2000000011001100
χ63666-366-3-3-6-6-3-3000000330000000000000000000000000000002200000-2-20000000-1-1001100
χ64666-366-3-3-6-6-3-300000033000000000000000000000000000000-2-2000002200000001100-1-100
χ65666-3-6-6-3-36i−6i33000000−3i3i0000000000000000000000000000002-2000002i−2i0000000-1100−ii00
χ66666-3-6-6-3-36i−6i33000000−3i3i000000000000000000000000000000-2200000−2i2i00000001-100i−i00
χ67666-3-6-6-3-3−6i6i330000003i−3i0000000000000000000000000000002-200000−2i2i0000000-1100i−i00
χ68666-3-6-6-3-3−6i6i330000003i−3i000000000000000000000000000000-22000002i−2i00000001-100−ii00
χ698-80800-800000-48-84000000-4004000000000000000000000000000000000000000000000000
χ708-80800-800000-4-44443−430000200-200−232300000000000000000000000000000000000000000000
χ718-80800-800000-4-444−43430000200-20023−2300000000000000000000000000000000000000000000
χ721212-12-612-12-6600-6600000000000000000000000000000000000000000000000000000000000000
χ731212-12-6-1212-66006-600000000000000000000000000000000000000000000000000000000000000
χ7424-240-1200120000000000000000000000000000000000000000000000000000000000000000000

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