Finite Group Databasebeta

← Group #11779886

Character table — Group #11779886

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444888881212161616161818242424242424242424242424243636363636363648484848487272
order12224433666666212121212446666442248812121212242424244448888466121288
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1111-1-1-1-1-111-1-1-1-1
χ31111111111111111111-1-1111111-1-1-111-1-1-1-11111111-1-1-1-11-1-111-1-1
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
χ611111111111111-1111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-11-1-1-1-11-1-11111
χ711111111111111-11111-1-1-1-1-1-11111-111-1-1-1-11111-1-11-1-1-1-1-111-1-111
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
χ112222-2-2222222220-2-2-2-2000000-2-22-200000000000002000002-20000
χ122222-2-2222222220-2-2-2-2000000-2-2-220000000000000200000-220000
χ132222-2-2222222220-2-2-2-22200002200-20022-2-2000000-200000000000
χ142222-2-2222222220-2-2-2-2-2-200002200200-2-222000000-200000000000
χ1522-2-22-222-2-22-2-2202-22-20000000000000000000002i−2i022−2−200000−i2i2
χ1622-2-22-222-2-22-2-2202-22-20000000000000000000002i−2i0−2−22200000i2−i2
χ1722-2-22-222-2-22-2-2202-22-2000000000000000000000−2i2i022−2−200000i2−i2
χ1822-2-22-222-2-22-2-2202-22-2000000000000000000000−2i2i0−2−22200000−i2i2
χ192-2-2200222-2-22-2-2000002-200002-2000−i2i22-200−i2−i2i2i2000−i2i2−i2i20000000
χ202-2-2200222-2-22-2-2000002-200002-2000i2−i22-200i2i2−i2−i2000i2−i2i2−i20000000
χ212-2-2200222-2-22-2-200000-2200002-2000−i2i2-2200−i2−i2i2i2000i2−i2i2−i20000000
χ222-2-2200222-2-22-2-200000-2200002-2000i2−i2-2200i2i2−i2−i2000−i2i2−i2i20000000
χ234444441-211-2-2-214-2-2110011-2-200000220000-1-1-1-10000000200-1-100
χ244444441-211-2-2-214-2-2110011-2-200000-2-2000011110000000-2001100
χ254444441-211-2-2-21-4-2-21100-1-12200000220000-1-1-1-10000000-2001100
χ264444441-211-2-2-21-4-2-21100-1-12200000-2-2000011110000000200-1-100
χ27444444-21-2-2111-2411-2-222-2-2110022200-1-1-1-1000000000000-1-10000
χ28444444-21-2-2111-2411-2-2-2-2-2-21100-2-2-2001111000000000000110000
χ29444444-21-2-2111-2-411-2-22222-1-100-2-2200-1-1-1-1000000000000110000
χ30444444-21-2-2111-2-411-2-2-2-222-1-10022-2001111000000000000-1-10000
χ314444-4-4-21-2-2111-20-1-12222003-3002-2-200-1-111000000000000-110000
χ324444-4-4-21-2-2111-20-1-1222200-3300-22-200-1-1110000000000001-10000
χ334444-4-4-21-2-2111-20-1-122-2-2003-300-2220011-1-10000000000001-10000
χ344444-4-4-21-2-2111-20-1-122-2-200-33002-220011-1-1000000000000-110000
χ3544-4-4-441-2-1-1-222102-2-11003-30000000000000−i3i3−i3i30000000000−i3i300
χ3644-4-4-441-2-1-1-222102-2-11003-30000000000000i3−i3i3−i30000000000i3−i300
χ3744-4-4-441-2-1-1-222102-2-1100-330000000000000−i3i3−i3i30000000000i3−i300
χ3844-4-4-441-2-1-1-222102-2-1100-330000000000000i3−i3i3−i30000000000−i3i300
χ3944-4-4-4444-4-44-4-440-44-4400000000000000000000000000000000000
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
χ438888-8-82-422-4-4-42044-2-200000000000000000000000000000000000
χ4488-8-88-82-4-2-2-44420-442-200000000000000000000000000000000000
χ4588-8-88-8-42442-2-2-402-2-4400000000000000000000000000000000000
χ4688-8-8-88-42442-2-2-40-224-400000000000000000000000000000000000
χ478-88-8002-4-2244-4-200000000000000000000006−6−6600000000000000
χ488-88-8002-4-2244-4-20000000000000000000000−666−600000000000000
χ498-88-800-424-4-2-22400000000000000000000−2i32i3000000000000000000
χ508-88-800-424-4-2-224000000000000000000002i3−2i3000000000000000000
χ518-8-88002-42-24-44-20000000000000000−2i22i20000i2i2−i2−i200000000000000
χ528-8-88002-42-24-44-200000000000000002i2−2i20000−i2−i2i2i200000000000000
χ538-8-8800-42-44-22-24000004-400000000000-2200000000000000000000
χ548-8-8800-42-44-22-2400000-44000000000002-200000000000000000000

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