Finite Group Databasebeta

← Group #13180248

Character table — Group #13180248

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222244666666666881212121212121216161616181818242424242432323636363636363636363648484848484848547272108108144
order1233663622466668836212122424242433664446612242436228812122424242466666662664812
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-111-111-1-1-1-11111111-1-11-1-111-1-1-1-111-1-1-1-1-11111111-1-1-1-11
χ3111111111-1111-1-11111111111111111-1-111111111-11-11-111-1-111-111-1-1-11-1-1-1-1
χ4111111111-1111-1-1-1-111-111-1-1-1-111111-1-1-1-11-1-111-11-111-1-1-111-11-111-1-1-1-1111-1
χ511111111-111-1-111111111111111111-11-11111111-11-11-11-1-1111-11-1-111-1-11-1-1-1
χ611111111-111-1-111-1-111-111-1-1-1-11111-11-1-1-11-1-1111-11-1-1111-1-1-1-11-1-111-11-111-1
χ711111111-1-11-1-1-1-1111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1111
χ811111111-1-11-1-1-1-1-1-111-111-1-1-1-11111-1-11-1-11-1-1111111-1-11111-1-1-1-1-1-1-1111-1-11
χ922222222222222200-1-10220000-1-1-1-122200200-1-100002200000-1-1-1-1-1-120000-1
χ10222222222-2222-2-200-1-10220000-1-1-1-12-2-200200-1-100002-200000-11-1-111-200001
χ1122222222-222-2-22200-1-10220000-1-1-1-1-22-200200-1-10000-22000001-111-1-1-200001
χ1222222222-2-22-2-2-2-200-1-10220000-1-1-1-1-2-2200200-1-10000-2-20000011111120000-1
χ13222-12-1-1-102200-1-1222222-122-1-12-12-10202-1-1-1-1-1-102020-100-1-1-10200-1-100-1000
χ14222-12-1-1-102200-1-1-2-222-22-1-2-2112-12-1020-21-111-1-10-20-20-1001110200-1-1001000
χ15222-12-1-1-10-220011222222-122-1-12-12-10-202-1-1-1-1-1-10-20-2010011-10-20011001000
χ16222-12-1-1-10-220011-2-222-22-1-2-2112-12-10-20-21-111-1-102020100-1-110-2001100-1000
χ1722-12-12-1-1202-1-10022222-12-1-122-12-12200-12-1-1-1-1-12020-10-1-100-120-1-1000-10000
χ1822-12-12-1-1202-1-100-2-222-2-1211-2-2-12-122001-2-111-1-1-20-20-101100120-1-100010000
χ1922-12-12-1-1-202110022222-12-1-122-12-12-200-12-1-1-1-1-1-20-20101100-1-201100010000
χ2022-12-12-1-1-2021100-2-222-2-1211-2-2-12-12-2001-2-111-1-1202010-1-1001-2011000-10000
χ213333333333-133331100-1-1-111110000-1-13-1-1-11100-1-111-1-11111-1000000-1-1-1-110
χ223333333333-13333-1-1001-1-1-1-1-1-10000-1-1311-1-1-10011-1-1-1-1-1-1-1-11000000-1111-10
χ23333333333-3-133-3-31100-1-1-111110000-11-3-1-1-11100-111-1-1111-1-1-10000001-111-10
χ24333333333-3-133-3-3-1-1001-1-1-1-1-1-10000-11-311-1-1-1001-1-11-11-1-111100000011-1-110
χ2533333333-33-1-3-3331100-1-1-1111100001-1-3-1-1-111001-1-111-1-1-111-100000011-11-10
χ2633333333-33-1-3-333-1-1001-1-1-1-1-1-100001-1-311-1-1-100-111-11-111-1-110000001-11-110
χ2733333333-3-3-1-3-3-3-31100-1-1-111110000113-1-1-1110011-1-111-1-1-1-1-1000000-111-110
χ2833333333-3-3-1-3-3-3-3-1-1001-1-1-1-1-1-1000011311-1-1-100-1-1111111111000000-1-1-11-10
χ29444-24-2-2-204400-2-200-2-204-20000-21-2104000-2001100000-2000000-20011000000
χ30444-24-2-2-20-44002200-2-204-20000-21-210-4000-20011000002000000200-1-1000000
χ3144-24-24-2-2404-2-20000-2-20-2400001-21-240000-200110000-2000000-201100000000
χ3244-24-24-2-2-404220000-2-20-2400001-21-2-40000-200110000200000020-1-100000000
χ3344-2-2-2-211004000044444-2-2-2-2-2-2-2-2-2-2000-2-21111100000000001000000000000
χ3444-2-2-2-2110040000-4-444-4-2-22222-2-2-2-2000221-1-1110000000000-1000000000000
χ354-444-4-44-40000000−2i22i2-22000−2i22i2−2i22i2-2-222000000−2i22i2-2200000000000000000000000
χ364-444-4-44-400000002i2−2i2-220002i2−2i22i2−2i2-2-2220000002i2−2i2-2200000000000000000000000
χ374-44-2-42-2200000−2i32i3−2i22i2-22000−2i22i2i2−i2-212-1000000i2−i21-1000000006−600000−i3i3000000
χ384-44-2-42-2200000−2i32i32i2−2i2-220002i2−2i2−i2i2-212-1000000−i2i21-100000000−6600000−i3i3000000
χ394-44-2-42-22000002i3−2i3−2i22i2-22000−2i22i2i2−i2-212-1000000i2−i21-100000000−6600000i3−i3000000
χ404-44-2-42-22000002i3−2i32i2−2i2-220002i2−2i2−i2i2-212-1000000−i2i21-1000000006−600000i3−i3000000
χ414-4-242-4-22000−2i32i300−2i22i2-22000i2−i2−2i22i21-2-12000000i2−i21-10000006−600000−i3i300000000
χ424-4-242-4-22000−2i32i3002i2−2i2-22000−i2i22i2−2i21-2-12000000−i2i21-1000000−6600000−i3i300000000
χ434-4-242-4-220002i3−2i300−2i22i2-22000i2−i2−2i22i21-2-12000000i2−i21-1000000−6600000i3−i300000000
χ444-4-242-4-220002i3−2i3002i2−2i2-22000−i2i22i2−2i21-2-12000000−i2i21-10000006−600000i3−i300000000
χ45666-36-3-3-306-200-3-32200-2-2122-1-100000-20-211-1-1000-2020100-1-11000000001000
χ46666-36-3-3-306-200-3-3-2-2002-21-2-21100000-202-111100020-2010011-100000000-1000
χ47666-36-3-3-30-6-200332200-2-2122-1-10000020-211-1-100020-20-10011100000000-1000
χ48666-36-3-3-30-6-20033-2-2002-21-2-21100000202-1111000-2020-100-1-1-1000000001000
χ4966-36-36-3-360-2-3-3002200-21-2-1-1220000-2001-21-1-100-202010-1-1001000000010000
χ5066-36-36-3-360-2-3-300-2-20021-211-2-20000-200-121110020-20101100-10000000-10000
χ5166-36-36-3-3-60-233002200-21-2-1-12200002001-21-1-10020-20-10110010000000-10000
χ5266-36-36-3-3-60-23300-2-20021-211-2-20000200-1211100-2020-10-1-100-1000000010000
χ5388-4-4-4-422008000000-4-40-4-40000222200000200-1-100000000000000000000000
χ548-888-8-88-80000000002-2000000022-2-2000000002-200000000000000000000000
χ558-88-4-84-4400000−4i34i3002-200000002-1-2100000000-11000000000000000i3−i3000000
χ568-88-4-84-44000004i3−4i3002-200000002-1-2100000000-11000000000000000−i3i3000000
χ578-8-484-8-44000−4i34i300002-20000000-121-200000000-110000000000000i3−i300000000
χ588-8-484-8-440004i3−4i300002-20000000-121-200000000-110000000000000−i3i300000000
χ598-8-4-4442-20000000−4i24i2-440002i2−2i22i2−2i222-2-2000000−i2i2-1100000000000000000000000
χ608-8-4-4442-200000004i2−4i2-44000−2i22i2−2i22i222-2-2000000i2−i2-1100000000000000000000000
χ611212-6-6-6-63300-400004400-422-2-2-2-2000000022-111000000000000-1000000000000
χ621212-6-6-6-63300-40000-4-40042222220000000-2-2-1-1-10000000000001000000000000
χ6316-16-8-8884-40000000004-40000000-2-222000000001-100000000000000000000000

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