Finite Group Databasebeta

← Group #11780028

Character table — Group #11780028

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888121212121212161618182424242424242424242424242424243636363636484848727272
order12224433446666661212121212121212441212121212124444488121212121212242424244888841212488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111
χ511111111-1-111111111-1-1-1-111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-1-1-1
χ611111111-1-111111111-1-1-1-111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-111
χ711111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-11111-1-1111111111-1-1-1-1-1-1-1-111
χ811111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111111111-1-1-1
χ922222222222222222222222200000022-2-2000000000000000-20000000-200
χ1022222222-2-222222222-2-2-2-222000000-2-2-2-2000000000000000-20000000200
χ112222-2-22200222222-2-20000-2-200000000-2-202-2000022-2-2000020000000000
χ122222-2-22200222222-2-20000-2-200000000-2-20-220000-2-222000020000000000
χ132222-2-22200222222-2-20000-2-22222220022-20000-2-200000000-20000000000
χ142222-2-22200222222-2-20000-2-2-2-2-2-2-2-20022200002200000000-20000000000
χ1522-2-20022002-22-2-2-2000000002-222-2-2002-20002−200000022−2−2022−2−2000000
χ1622-2-20022002-22-2-2-2000000002-222-2-2002-2000−22000000−2−2220−2−222000000
χ1722-2-20022002-22-2-2-200000000-22-2-222002-20002−200000022−2−20−2−222000000
χ1822-2-20022002-22-2-2-200000000-22-2-222002-2000−22000000−2−222022−2−2000000
χ192-22-2-22222-2-2-2-222-22-222-2-2-220000002-2000000000000000000−i2i2−i2i20000−i2i2
χ202-22-2-22222-2-2-2-222-22-222-2-2-220000002-2000000000000000000i2−i2i2−i20000i2−i2
χ212-22-2-2222-22-2-2-222-22-2-2-222-22000000-22000000000000000000−i2i2−i2i20000i2−i2
χ222-22-2-2222-22-2-2-222-22-2-2-222-22000000-22000000000000000000i2−i2i2−i20000−i2i2
χ234444441-24411-2-21-2-2-2-2-2-2-211000000110000022000000-1-1-1-1000002-1-1000
χ244444441-24411-2-21-2-2-2-2-2-2-2110000001100000-2-2000000111100000-211000
χ254444441-2-4-411-2-21-2-2-2222211000000-1-10000022000000-1-1-1-100000-211000
χ264444441-2-4-411-2-21-2-2-2222211000000-1-100000-2-20000001111000002-1-1000
χ27444444-2144-2-211-21111111-2-222-1-1-1-1-2-20022200-1-1-1-1-1-1000000000000000
χ28444444-2144-2-211-21111111-2-2-2-21111-2-200-2-2-200111111000000000000000
χ29444444-21-4-4-2-211-2111-1-1-1-1-2-222-1-1-1-122002-2-200-1-11111000000000000000
χ30444444-21-4-4-2-211-2111-1-1-1-1-2-2-2-211112200-2220011-1-1-1-1000000000000000
χ314444-4-4-2100-2-211-21-1-13-33-32222-1-1-1-10000-22-20011-1-111000000000000000
χ324444-4-4-2100-2-211-21-1-13-33-322-2-2111100002-2200-1-111-1-1000000000000000
χ334444-4-4-2100-2-211-21-1-1-33-332222-1-1-1-10000-2-22001111-1-1000000000000000
χ344444-4-4-2100-2-211-21-1-1-33-3322-2-21111000022-200-1-1-1-111000000000000000
χ3544-4-40044004-44-4-4-40000000000000000-4400000000000000000000000000
χ364-44-44-44400-4-4-444-4-4400004-4000000000000000000000000000000000000
χ374-44-44-4-210022-11-2-1-113-3-33-22003−33−30000000003−33−33−3000000000000000
χ384-44-44-4-210022-11-2-1-113-3-33-2200−33−33000000000−33−33−33000000000000000
χ394-44-44-4-210022-11-2-1-11-333-3-22003−33−30000000003−3−33−33000000000000000
χ404-44-44-4-210022-11-2-1-11-333-3-2200−33−33000000000−333−33−3000000000000000
χ414-44-4-441-24-4-1-12-212-22-2-222-110000001-10000000000000−i3i3−i3i3000000−i3i3000
χ424-44-4-441-24-4-1-12-212-22-2-222-110000001-10000000000000i3−i3i3−i3000000i3−i3000
χ434-44-4-441-2-44-1-12-212-2222-2-2-11000000-110000000000000−i3i3−i3i3000000i3−i3000
χ444-44-4-441-2-44-1-12-212-2222-2-2-11000000-110000000000000i3−i3i3−i3000000−i3i3000
χ454-44-4-44-214-422-11-2-11-111-1-12-2003−33−3-220000000−333−3−33000000000000000
χ464-44-4-44-214-422-11-2-11-111-1-12-200−33−33-2200000003−3−333−3000000000000000
χ474-44-4-44-21-4422-11-2-11-1-1-1112-2003−33−32-20000000−33−333−3000000000000000
χ484-44-4-44-21-4422-11-2-11-1-1-1112-200−33−332-200000003−33−3−33000000000000000
χ494-4-44004400-44-4-4-4400000000000000000000000000000000002i−2i−2i2i000000
χ504-4-44004400-44-4-4-440000000000000000000000000000000000−2i2i2i−2i000000
χ518888-8-82-40022-4-42-4440000-2-2000000000000000000000000000000000000
χ5288-8-8002-4002-2-44-2400000000000000000000022−22000000−2−22200000000000
χ5388-8-8002-4002-2-44-24000000000000000000000−222200000022−2−200000000000
χ5488-8-800-4200-442-24-2000000004-4-2-222000000000000000000000000000000
χ5588-8-800-4200-442-24-200000000-4422-2-2000000000000000000000000000000
χ568-88-88-82-400-2-24-4244-400002-2000000000000000000000000000000000000
χ578-8-88002-400-2244-2-400000000000000000000000000000i6−i6−i6i600000000000
χ588-8-88002-400-2244-2-400000000000000000000000000000−i6i6i6−i600000000000
χ598-8-8800-42004-4-2-242000000000023−23−2323000000000000000000000000000000
χ608-8-8800-42004-4-2-2420000000000−232323−23000000000000000000000000000000

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