Finite Group Databasebeta

← Group #13180251

Character table — Group #13180251

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222244666666666881212121212121216161616181818242424242432323636363636363636363648484848484848547272108108144
order12336636244668812123621212242424243366224661224243624688122424242466661212124612286
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-11111-111-1-1-1-11111111-1-11-1-111-1-11-1-11-1-1-1-1-11111111-1-1-1-11
χ3111111111-111111-1-11111111111111-1-1111111111-1-11-1111-1-11111-1-1-1-11-1-1-1-1
χ4111111111-1111-1-1-1-111-111-1-1-1-11111-1-11-1-11-1-111-11-1-111-1-111-1111-1-1-1-1-1111-1
χ511111111-111-1-1111111111111111111-1-11111111-111-11-1-1-1111-1-1-1111-1-11-1-1-1
χ611111111-111-1-1-1-11111-111-1-1-1-111111-1-1-1-11-1-1111-111-1-111-1-1-1-1-1-1111-11-111-1
χ711111111-1-11-1-111-1-11111111111111-11-11111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1111
χ811111111-1-11-1-1-1-1-1-111-111-1-1-1-11111-11-1-1-11-1-11111-111-11111-1-1-1-1-1-1-1111-1-11
χ922222222222220022-1-10220000-1-1-1-122200200-1-100200200000-1-1-1-1-1-120000-1
χ10222222222-222200-2-2-1-10220000-1-1-1-1-2-2200200-1-100-200200000-1-1-1111-200001
χ1122222222-222-2-20022-1-10220000-1-1-1-12-2-200200-1-100200-200000111-1-1-1-200001
χ1222222222-2-22-2-200-2-2-1-10220000-1-1-1-1-22-200200-1-100-200-20000011111120000-1
χ13222-1-12-1-1202-1-12200222-1222-1-12-1-120022-1-1-1-1-1-120020-1-1-100-12-1-10000-10000
χ14222-1-12-1-1202-1-1-2-20022-2-12-2-2112-1-12002-21-111-1-1-200-20-1110012-1-1000010000
χ15222-1-12-1-1-202112200222-1222-1-12-1-1200-22-1-1-1-1-1-1-200-2011100-1-211000010000
χ16222-1-12-1-1-20211-2-20022-2-12-2-2112-1-1200-2-21-111-1-1200201-1-1001-2110000-10000
χ1722-122-1-1-10220022-1-12222-1-1-122-122-1200-12-1-1-1-1-102-102000-1-1-10002-1-100-1000
χ1822-122-1-1-102200-2-2-1-122-22-111-2-2-122-12001-2-111-1-10-2-10-20001110002-1-1001000
χ1922-122-1-1-10-220022112222-1-1-122-122-1-200-12-1-1-1-1-10-210-200011-1000-211001000
χ2022-122-1-1-10-2200-2-21122-22-111-2-2-122-1-2001-2-111-1-102102000-1-11000-21100-1000
χ213333333333-133113300-1-1-111110000-13-1-1-1-11100-1-1-111-11111-1000000-1-1-1-110
χ223333333333-133-1-133001-1-1-1-1-1-10000-13-111-1-1-10011-1-1-1-1-1-1-1-11000000-1111-10
χ23333333333-3-13311-3-300-1-1-1111100001-3-1-1-1-11100-1111-1-111-1-1-10000001-111-10
χ24333333333-3-133-1-1-3-3001-1-1-1-1-1-100001-3-111-1-1-1001-11-11-1-1-111100000011-1-110
χ2533333333-33-1-3-3113300-1-1-111110000-1-31-1-1-111001-1-1-111-1-111-100000011-11-10
χ2633333333-33-1-3-3-1-133001-1-1-1-1-1-10000-1-3111-1-1-100-11-11-1111-1-110000001-11-110
χ2733333333-3-3-1-3-311-3-300-1-1-111110000131-1-1-11100111-1-11-1-1-1-1-1000000-111-110
χ2833333333-3-3-1-3-3-1-1-3-3001-1-1-1-1-1-1000013111-1-1-100-1-1111111111000000-1-1-11-10
χ29444-2-24-2-2404-2-20000-2-20-240000-211-200400-2001100000-200000-211000000000
χ30444-2-24-2-2-404220000-2-20-240000-211-200-400-20011000002000002-1-1000000000
χ3144-244-2-2-20440000-2-2-2-204-200001-2-2140000-2001100-200000000000-211000000
χ3244-244-2-2-20-44000022-2-204-200001-2-21-40000-20011002000000000002-1-1000000
χ3344-2-2-2-211004004400444-2-2-2-2-2-2-2-2-2-2000-2-21111100000000001000000000000
χ3444-2-2-2-21100400-4-40044-4-2-22222-2-2-2-2000221-1-1110000000000-1000000000000
χ354-444-4-44-400000−2i22i200-22000−2i22i2−2i22i2-2-222000000−2i22i2-2200000000000000000000000
χ364-444-4-44-4000002i2−2i200-220002i2−2i22i2−2i2-2-2220000002i2−2i2-2200000000000000000000000
χ374-44-22-4-22000−2i32i3−2i22i200-22000−2i22i2i2−i2-21-12000000i2−i21-10000006−60000−i3i3000000000
χ384-44-22-4-22000−2i32i32i2−2i200-220002i2−2i2−i2i2-21-12000000−i2i21-1000000−660000−i3i3000000000
χ394-44-22-4-220002i3−2i3−2i22i200-22000−2i22i2i2−i2-21-12000000i2−i21-1000000−660000i3−i3000000000
χ404-44-22-4-220002i3−2i32i2−2i200-220002i2−2i2−i2i2-21-12000000−i2i21-10000006−60000i3−i3000000000
χ414-4-24-42-2200000−2i22i223−23-22000i2−i2−2i22i21-22-1000000i2−i21-100000000i6−i6000003−3000000
χ424-4-24-42-2200000−2i22i2−2323-22000i2−i2−2i22i21-22-1000000i2−i21-100000000−i6i600000−33000000
χ434-4-24-42-22000002i2−2i223−23-22000−i2i22i2−2i21-22-1000000−i2i21-100000000−i6i6000003−3000000
χ444-4-24-42-22000002i2−2i2−2323-22000−i2i22i2−2i21-22-1000000−i2i21-100000000i6−i600000−33000000
χ45666-3-36-3-360-2-3-3220000-21-222-1-1000000-2-211-1-100-200201-1-1001000000010000
χ46666-3-36-3-360-2-3-3-2-2000021-2-2-211000000-22-111100200-2011100-10000000-10000
χ47666-3-36-3-3-60-233220000-21-222-1-10000002-211-1-100200-20-1110010000000-10000
χ48666-3-36-3-3-60-233-2-2000021-2-2-21100000022-111100-20020-1-1-100-1000000010000
χ4966-366-3-3-306-20022-3-300-2-21-1-1220000-2001-21-1-1000-2102000-1-11000000001000
χ5066-366-3-3-306-200-2-2-3-3002-2111-2-20000-200-12111000210-200011-100000000-1000
χ5166-366-3-3-30-6-200223300-2-21-1-12200002001-21-1-10002-10-200011100000000-1000
χ5266-366-3-3-30-6-200-2-233002-2111-2-20000200-12111000-2-102000-1-1-1000000001000
χ5388-4-4-4-422008000000-4-40-4-40000222200000200-1-100000000000000000000000
χ548-888-8-88-80000000002-2000000022-2-2000000002-200000000000000000000000
χ558-88-44-8-44000−4i34i300002-200000002-11-200000000-11000000000000i3−i3000000000
χ568-88-44-8-440004i3−4i300002-200000002-11-200000000-11000000000000−i3i3000000000
χ578-8-48-84-44000000043−432-20000000-12-2100000000-11000000000000000−33000000
χ588-8-48-84-440000000−43432-20000000-12-2100000000-110000000000000003−3000000
χ598-8-4-4442-200000−4i24i200-440002i2−2i22i2−2i222-2-2000000−i2i2-1100000000000000000000000
χ608-8-4-4442-2000004i2−4i200-44000−2i22i2−2i22i222-2-2000000i2−i2-1100000000000000000000000
χ611212-6-6-6-63300-400440000-422-2-2-2-2000000022-111000000000000-1000000000000
χ621212-6-6-6-63300-400-4-4000042222220000000-2-2-1-1-10000000000001000000000000
χ6316-16-8-8884-40000000004-40000000-2-222000000001-100000000000000000000000

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