Finite Group Databasebeta

← Group #11779287

Character table — Group #11779287

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444888881212161616161818242424242424242424242424243636363636363648484848487272
order12224433666666212121212446666444448812121212242424244448888266121288
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-111-1-1
χ31111111111111111111-1-1111111-1-1-111-1-1-1-11111111-1-1-1-1111-1-1-1-1
χ41111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111
χ511111111111111-1111111-1-1-1-111-1-111111111111-1-111111-1-1-1-1-1-1-1
χ611111111111111-1111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-11-1-1-1-1111-1-111
χ711111111111111-11111-1-1-1-1-1-11111-111-1-1-1-11111-1-11-1-1-1-1-1-1-11111
χ811111111111111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ92222222222222222222002222-2-20000000000000-2-2-200000000000
χ1022222222222222-2222200-2-2-2-2-2-2000000000000022-200000000000
χ112222-2-2222222220-2-2-2-2000000-2-22-20000000000000200000002-200
χ122222-2-2222222220-2-2-2-2000000-2-2-22000000000000020000000-2200
χ132222-2-2222222220-2-2-2-22200002200-20022-2-2000000-200000000000
χ142222-2-2222222220-2-2-2-2-2-200002200200-2-222000000-200000000000
χ1522-2-22-222-2-22-2-22022-2-20000000000000000000002i−2i022−2−200000−i2i2
χ1622-2-22-222-2-22-2-22022-2-20000000000000000000002i−2i0−2−22200000i2−i2
χ1722-2-22-222-2-22-2-22022-2-2000000000000000000000−2i2i022−2−200000i2−i2
χ1822-2-22-222-2-22-2-22022-2-2000000000000000000000−2i2i0−2−22200000−i2i2
χ192-2-2200222-2-22-2-2000002i−2i00002-20002−22i−2i0022−2−2000−i2i2−i2i20000000
χ202-2-2200222-2-22-2-2000002i−2i00002-2000−222i−2i00−2−222000i2−i2i2−i20000000
χ212-2-2200222-2-22-2-200000−2i2i00002-20002−2−2i2i0022−2−2000i2−i2i2−i20000000
χ222-2-2200222-2-22-2-200000−2i2i00002-2000−22−2i2i00−2−222000−i2i2−i2i20000000
χ234444441-2-2-2-21114-211-22211-2-20022200-1-1-1-100000000000000-1-100
χ244444441-2-2-2-21114-211-2-2-211-2-200-2-2-2001111000000000000001100
χ254444441-2-2-2-2111-4-211-222-1-12200-2-2200-1-1-1-1000000000000001100
χ264444441-2-2-2-2111-4-211-2-2-2-1-1220022-200111100000000000000-1-100
χ27444444-21111-2-2-241-2-2100-2-21100000220000-1-1-1-100000002-1-10000
χ28444444-21111-2-2-241-2-2100-2-21100000-2-2000011110000000-2110000
χ29444444-21111-2-2-2-41-2-210022-1-100000220000-1-1-1-10000000-2110000
χ30444444-21111-2-2-2-41-2-210022-1-100000-2-20000111100000002-1-10000
χ314444-4-41-2-2-2-211102-1-12223-300002-2-200-1-11100000000000000-1100
χ324444-4-41-2-2-2-211102-1-1222-330000-22-200-1-111000000000000001-100
χ334444-4-41-2-2-2-211102-1-12-2-23-30000-2220011-1-1000000000000001-100
χ344444-4-41-2-2-2-211102-1-12-2-2-3300002-220011-1-100000000000000-1100
χ3544-4-4-4444-4-44-4-440-4-44400000000000000000000000000000000000
χ3644-4-4-44-21-1-1122-20-12-2100003-300000000000−i3i3−i3i300000000−i3i30000
χ3744-4-4-44-21-1-1122-20-12-2100003-300000000000i3−i3i3−i300000000i3−i30000
χ3844-4-4-44-21-1-1122-20-12-210000-3300000000000−i3i3−i3i300000000i3−i30000
χ3944-4-4-44-21-1-1122-20-12-210000-3300000000000i3−i3i3−i300000000−i3i30000
χ404-44-40044-44-4-44-4000000000000000000000000000002i−2i−2i2i0000000
χ414-44-40044-44-4-44-400000000000000000000000000000−2i2i2i−2i0000000
χ424-4-4400444-4-44-4-400000000000-44000000000000000000000000000
χ438888-8-8-42222-4-4-40-244-200000000000000000000000000000000000
χ4488-8-88-82-444-4-2-220-42-2400000000000000000000000000000000000
χ4588-8-88-8-42-2-2244-402-44-200000000000000000000000000000000000
χ4688-8-8-882-444-4-2-2204-22-400000000000000000000000000000000000
χ478-88-8002-44-44-22-20000000000000000000023−23000000000000000000
χ488-88-8002-44-44-22-200000000000000000000−2323000000000000000000
χ498-88-800-42-22-24-440000000000000000000000i6−i6−i6i600000000000000
χ508-88-800-42-22-24-440000000000000000000000−i6i6i6−i600000000000000
χ518-8-88002-4-4442-2-2000004i−4i00000000000−2i2i00000000000000000000
χ528-8-88002-4-4442-2-200000−4i4i000000000002i−2i00000000000000000000
χ538-8-8800-422-2-2-444000000000000000022−220000−2−22200000000000000
χ548-8-8800-422-2-2-4440000000000000000−2222000022−2−200000000000000

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