Finite Group Databasebeta

← Group #13180247

Character table — Group #13180247

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1122223344666688121212121212121616161618181824242424242424242424323236363636363636364848484848547272727272108108
order12336644364412123648121212242433662221212121212121224242436246688242412121212124666122428
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1111-1-11111111-1-111111-1-1-111-1-111-1-1-1-1-111111-111-1-1-1-1
χ31111111111-11111111-1111111111-1-11111-1-11111111-1-111-111111-1-1-11-1-1-1-1-1-1
χ41111111111-111111-1-1-111-1-111111-1-1-1-111-1-11-1-1-111-11-11-11-1-1-111-1-1-1-1-1-11111
χ5111111-1-11111-1-11111111111111-11-111-1-111111111-111-1-11-1-11-1-111-1-1-1-111-1-1
χ6111111-1-11111-1-111-1-1111-1-11111-11-1-1-1-1-1111-1-1-1111-11-11-111-1-1-111-11-1-1-1-111
χ7111111-1-111-11-1-11111-111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11-111-1-111
χ8111111-1-111-11-1-111-1-1-111-1-11111-1-11-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1111111-1-1
χ922222222222222-1-10022200-1-1-1-122200-1-1-1-12000-1-1002200000-1-1-1-120-1-10000
χ102222222222-2222-1-100-22200-1-1-1-12-2-200-1-1112000-1-100-2200000-1-111-20110000
χ11222222-2-22222-2-2-1-10022200-1-1-1-1-22-20011-1-12000-1-1002-20000011-1-1-20110000
χ12222222-2-222-22-2-2-1-100-22200-1-1-1-1-2-220011112000-1-100-2-200000111120-1-10000
χ13222-1-1222-1-102-1-122220-12-1-12-12-1200-122200-12-1-1-1-1200-120-1-1-1-1-1000-1000000
χ14222-1-1222-1-102-1-122-2-20-12112-12-12001-22200-1-211-1-1-200-1-20111-1-10001000000
χ15222-1-12-2-2-1-1021122220-12-1-12-12-1-200-12-2-200-12-1-1-1-1-2001-2011-1110001000000
χ16222-1-12-2-2-1-1021122-2-20-12112-12-1-2001-2-2-200-1-211-1-1200120-1-1111000-1000000
χ1722-122-100-1-122002222-12-122-12-120202-10022-1-1-1-1-1-102-100200-100-1-10000-1-100
χ1822-122-100-1-1220022-2-2-12-1-2-2-12-12020-210022-1111-1-10-2-100-200100-1-100001100
χ1922-122-100-1-1-2200222212-122-12-120-202-100-2-2-1-1-1-1-1-10-2100-200-1001100001100
χ2022-122-100-1-1-220022-2-212-1-2-2-12-120-20-2100-2-2-1111-1-102100200100110000-1-100
χ2133333333333-133001-13-1-1-1-10000-1-13110000-1-1-1-10011-1-1-1-1-1-110000-11001-11-1
χ2233333333333-13300-113-1-1110000-1-13-1-10000-111100-1-1-1-11111-10000-1-100-11-11
χ233333333333-3-133001-1-3-1-1-1-10000-11-3110000-1-1-1-1001-11-1-11-1-1100001100-11-11
χ243333333333-3-13300-11-3-1-1110000-11-3-1-10000-111100-111-11-111-100001-1001-11-1
χ25333333-3-3333-1-3-3001-13-1-1-1-100001-1-3110000-1-1-1-100-11-111-111100001-1001-1-11
χ26333333-3-3333-1-3-300-113-1-11100001-1-3-1-10000-1111001-1-11-11-1-1-100001100-111-1
χ27333333-3-333-3-1-3-3001-1-3-1-1-1-10000113110000-1-1-1-100-1-111111110000-1-100-111-1
χ28333333-3-333-3-1-3-300-11-3-1-1110000113-1-10000-1111001111-1-1-1-1-10000-11001-1-11
χ29444-2-2444-2-204-2-2-2-2000-2400-21-2140000-2-200-200011000-200000110000000000
χ30444-2-24-4-4-2-20422-2-2000-2400-21-21-400002200-200011000200000-1-10000000000
χ3144-244-200-2-24400-2-200-24-2001-21-20400000-2-2-20001100-2000000001100000000
χ3244-244-200-2-2-4400-2-20024-2001-21-20-40000022-20001100200000000-1-100000000
χ3344-2-2-2-20011040044440-2-2-2-2-2-2-2-2000-2-200001-21111000000001000000000000
χ3444-2-2-2-20011040044-4-40-2-222-2-2-2-200022000012-1-11100000000-1000000000000
χ354-444-4-44i−4i4-4004i−4i1-1000000011-1-100000i−i3−300001-1000000000i−i3−300−i3i30000
χ364-444-4-44i−4i4-4004i−4i1-1000000011-1-100000i−i−3300001-1000000000i−i−3300i3−i30000
χ374-444-4-44i−4i4-4004i−4i-220000000-2-22200000−2i2i000000-22000000000−2i2i0000000000
χ384-444-4-4−4i4i4-400−4i4i1-1000000011-1-100000−ii3−300001-1000000000−ii3−300i3−i30000
χ394-444-4-4−4i4i4-400−4i4i1-1000000011-1-100000−ii−3300001-1000000000−ii−3300−i3i30000
χ404-444-4-4−4i4i4-400−4i4i-220000000-2-222000002i−2i000000-220000000002i−2i0000000000
χ414-44-22-44i−4i-2200−2i2i-2200000i6−i6-212-100000−2i2i0000i6−i61-10000006−60i−i0000000000
χ424-44-22-44i−4i-2200−2i2i-2200000−i6i6-212-100000−2i2i0000−i6i61-1000000−660i−i0000000000
χ434-44-22-4−4i4i-22002i−2i-2200000i6−i6-212-1000002i−2i0000i6−i61-1000000−660−ii0000000000
χ444-44-22-4−4i4i-22002i−2i-2200000−i6i6-212-1000002i−2i0000−i6i61-10000006−60−ii0000000000
χ45666-3-3666-3-30-2-3-3002-201-2110000-200-1200001-211002001-2011-100000-1000000
χ46666-3-3666-3-30-2-3-300-2201-2-1-10000-2001-2000012-1-100-200120-1-11000001000000
χ47666-3-36-6-6-3-30-233002-201-2110000200-1200001-21100-200-120-1-1-1000001000000
χ48666-3-36-6-6-3-30-23300-2201-2-1-100002001-2000012-1-100200-1-2011100000-1000000
χ4966-366-300-3-36-200002-2-3-21-2-200000-202-1000011110002100-200-100000000-1100
χ5066-366-300-3-36-20000-22-3-212200000-20-2100001-1-1-1000-21002001000000001-100
χ5166-366-300-3-3-6-200002-23-21-2-200000202-100001111000-2-100200-1000000001-100
χ5266-366-300-3-3-6-20000-223-21220000020-2100001-1-1-10002-100-200100000000-1100
χ5388-4-4-4-400220800-4-4000-4-40022220000000002000-1-1000000000000000000000
χ548-88-44-88i−8i-4400−4i4i2-200000002-1-21000002i−2i000000-11000000000−ii0000000000
χ558-88-44-8−8i8i-44004i−4i2-200000002-1-2100000−2i2i000000-11000000000i−i0000000000
χ568-8-48-8400-4400002-20000000-121-2000000023−230000-1100000000000−3300000000
χ578-8-48-8400-4400002-20000000-121-20000000−23230000-11000000000003−300000000
χ588-8-48-8400-440000-4400000002-4-2400000000000002-2000000000000000000000
χ598-8-4-444002-20000-44000002i6−2i622-2-200000000000−i6i6-11000000000000000000000
χ608-8-4-444002-20000-4400000−2i62i622-2-200000000000i6−i6-11000000000000000000000
χ611212-6-6-6-600330-400004-4022220000000-2-20000-12-1-100000000001000000000000
χ621212-6-6-6-600330-40000-44022-2-20000000220000-1-2110000000000-1000000000000
χ6316-16-8-888004-400004-40000000-2-22200000000000001-1000000000000000000000

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