Finite Group Databasebeta

← Group #11779838

Character table — Group #11779838

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888121212121212161618182424242424242424242424242424243636363636484848727272
order12224433446666661212121212121212441212121212124422266666688242424244888841212488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1
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
χ511111111-1-111111111-1-1-1-111111111-1-1111-1-111-1-1-1-111111111111-1-1-1-1-1-1
χ611111111-1-111111111-1-1-1-111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-111
χ711111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-111111111111-1-1-1-1-1-1-1-111
χ811111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-111111111-1-1-1
χ922222222222222222222222200000022-2-2000000000000000-20000000-200
χ1022222222-2-222222222-2-2-2-222000000-2-2-2-2000000000000000-20000000200
χ112222-2-22200222222-2-20000-2-200000000-2-202-20022-2-200000020000000000
χ122222-2-22200222222-2-20000-2-200000000-2-20-2200-2-22200000020000000000
χ132222-2-22200222222-2-20000-2-22222220022-200-2-20000000000-20000000000
χ142222-2-22200222222-2-20000-2-2-2-2-2-2-2-20022200220000000000-20000000000
χ1522-2-20022002-22-2-2-2000000002i−2i2i2i−2i−2i00-220000000002−222−2−20−i2−i2i2i2000000
χ1622-2-20022002-22-2-2-2000000002i−2i2i2i−2i−2i00-22000000000−22−2−2220i2i2−i2−i2000000
χ1722-2-20022002-22-2-2-200000000−2i2i−2i−2i2i2i00-220000000002−222−2−20i2i2−i2−i2000000
χ1822-2-20022002-22-2-2-200000000−2i2i−2i−2i2i2i00-22000000000−22−2−2220−i2−i2i2i2000000
χ192-22-2-22222-2-2-2-2-2222-222-2-2-220000002-20000000000000000002−22−200002−2
χ202-22-2-22222-2-2-2-2-2222-222-2-2-220000002-2000000000000000000−22−220000−22
χ212-22-2-2222-22-2-2-2-2222-2-2-222-22000000-220000000000000000002−22−20000−22
χ222-22-2-2222-22-2-2-2-2222-2-2-222-22000000-22000000000000000000−22−2200002−2
χ234444441-24411-2-2-21-2-2-2-2-2-211000000110000000000022-1-1-1-1000002-1-1000
χ244444441-24411-2-2-21-2-2-2-2-2-2110000001100000000000-2-2111100000-211000
χ254444441-2-4-411-2-2-21-2-2222211000000-1-10000000000022-1-1-1-100000-211000
χ264444441-2-4-411-2-2-21-2-2222211000000-1-100000000000-2-21111000002-1-1000
χ27444444-2144-2-2111-2111111-2-222-1-1-1-1-2-200222-1-1-1-1-1-100000000000000000
χ28444444-2144-2-2111-2111111-2-2-2-21111-2-200-2-2-211111100000000000000000
χ29444444-21-4-4-2-2111-211-1-1-1-1-2-222-1-1-1-122002-2-2-1-1111100000000000000000
χ30444444-21-4-4-2-2111-211-1-1-1-1-2-2-2-211112200-22211-1-1-1-100000000000000000
χ314444-4-4-2100-2-2111-2-1-13-33-32222-1-1-1-10000-22-211-1-11100000000000000000
χ324444-4-4-2100-2-2111-2-1-13-33-322-2-2111100002-22-1-111-1-100000000000000000
χ334444-4-4-2100-2-2111-2-1-1-33-332222-1-1-1-10000-2-221111-1-100000000000000000
χ344444-4-4-2100-2-2111-2-1-1-33-3322-2-21111000022-2-1-1-1-11100000000000000000
χ3544-4-40044004-44-4-4-400000000000000004-400000000000000000000000000
χ364-44-44-44400-4-4-4-444-4400004-4000000000000000000000000000000000000
χ374-44-44-4-210022-1-11-2-113-3-33-2200−i3i3−i3i30000000−i3i3−i3i3−i3i300000000000000000
χ384-44-44-4-210022-1-11-2-113-3-33-2200i3−i3i3−i30000000i3−i3i3−i3i3−i300000000000000000
χ394-44-44-4-210022-1-11-2-11-333-3-2200−i3i3−i3i30000000−i3i3i3−i3i3−i300000000000000000
χ404-44-44-4-210022-1-11-2-11-333-3-2200i3−i3i3−i30000000i3−i3−i3i3−i3i300000000000000000
χ414-44-4-441-24-4-1-122-21-22-2-222-110000001-10000000000000−i3i3−i3i3000000−i3i3000
χ424-44-4-441-24-4-1-122-21-22-2-222-110000001-10000000000000i3−i3i3−i3000000i3−i3000
χ434-44-4-441-2-44-1-122-21-2222-2-2-11000000-110000000000000−i3i3−i3i3000000i3−i3000
χ444-44-4-441-2-44-1-122-21-2222-2-2-11000000-110000000000000i3−i3i3−i3000000−i3i3000
χ454-44-4-44-214-422-1-11-21-111-1-12-200−i3i3−i3i3-2200000i3−i3−i3i3i3−i300000000000000000
χ464-44-4-44-214-422-1-11-21-111-1-12-200i3−i3i3−i3-2200000−i3i3i3−i3−i3i300000000000000000
χ474-44-4-44-21-4422-1-11-21-1-1-1112-200−i3i3−i3i32-200000i3−i3i3−i3−i3i300000000000000000
χ484-44-4-44-21-4422-1-11-21-1-1-1112-200i3−i3i3−i32-200000−i3i3−i3i3i3−i300000000000000000
χ494-4-44004400-44-44-4-400000000000000000000000000000000002i−2i−2i2i000000
χ504-4-44004400-44-44-4-40000000000000000000000000000000000−2i2i2i−2i000000
χ518888-8-82-40022-4-4-42440000-2-2000000000000000000000000000000000000
χ5288-8-8002-4002-2-444-200000000000000000000000000022−22−2−22200000000000
χ5388-8-8002-4002-2-444-2000000000000000000000000000−222222−2−200000000000
χ5488-8-800-4200-442-2-24000000004i−4i−2i−2i2i2i000000000000000000000000000000
χ5588-8-800-4200-442-2-2400000000−4i4i2i2i−2i−2i000000000000000000000000000000
χ568-88-88-82-400-2-244-424-400002-2000000000000000000000000000000000000
χ578-8-88002-400-224-44-200000000000000000000000000000i6−i6−i6i600000000000
χ588-8-88002-400-224-44-200000000000000000000000000000−i6i6i6−i600000000000
χ598-8-8800-42004-4-22-24000000000023−23−2323000000000000000000000000000000
χ608-8-8800-42004-4-22-240000000000−232323−23000000000000000000000000000000

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