Finite Group Databasebeta

← Group #11779934

Character table — Group #11779934

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444888881212161616161818242424242424242424242424243636363636363648484848487272
order12224433666666412121212441212121244444881212121224242424224888841212121288
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
χ511111111111111-1111111-1-1-1-1111-1-11111111111-1-111111-1-1-1-1-1-1-1
χ611111111111111-1111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111-1-111
χ711111111111111-11111-1-1-1-1-1-111-11111-1-1-1-11111-1-11-1-1-1-1-1-1-11111
χ811111111111111-11111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ92222222222222222222002222-2-20000000000000-2-2-200000000000
χ1022222222222222-2222200-2-2-2-2-2-2000000000000022-200000000000
χ112222-2-2222222220-2-2-2-2000000-2-202-2000000000000200000002-200
χ122222-2-2222222220-2-2-2-2000000-2-20-2200000000000020000000-2200
χ132222-2-2222222220-2-2-2-222000022-20000-2-222000000-200000000000
χ142222-2-2222222220-2-2-2-2-2-20000222000022-2-2000000-200000000000
χ1522-2-2-2222-22-2-22-202-2-220000000000000000000002-20−i2−i2i2i200000−i2i2
χ1622-2-2-2222-22-2-22-202-2-220000000000000000000002-20i2i2−i2−i200000i2−i2
χ1722-2-2-2222-22-2-22-202-2-22000000000000000000000-220−i2−i2i2i200000i2−i2
χ1822-2-2-2222-22-2-22-202-2-22000000000000000000000-220i2i2−i2−i200000−i2i2
χ192-22-20022-2-222-2-2000002i−2i0000-22000−i2i2002i−2i−i2−i2i2i20002−22−20000000
χ202-22-20022-2-222-2-2000002i−2i0000-22000i2−i2002i−2ii2i2−i2−i2000−22−220000000
χ212-22-20022-2-222-2-200000−2i2i0000-22000−i2i200−2i2i−i2−i2i2i2000−22−220000000
χ222-22-20022-2-222-2-200000−2i2i0000-22000i2−i200−2i2ii2i2−i2−i20002−22−20000000
χ234444441-21-21-21-24-2-2110011-2-200000220000-1-1-1-100000002-1-10000
χ244444441-21-21-21-24-2-2110011-2-200000-2-2000011110000000-2110000
χ254444441-21-21-21-2-4-2-21100-1-12200000220000-1-1-1-10000000-2110000
χ264444441-21-21-21-2-4-2-21100-1-12200000-2-20000111100000002-1-10000
χ27444444-21-21-21-21411-2-222-2-2110022200-1-1-1-100000000000000-1-100
χ28444444-21-21-21-21411-2-2-2-2-2-21100-2-2-2001111000000000000001100
χ29444444-21-21-21-21-411-2-22222-1-1002-2-200-1-1-1-1000000000000001100
χ30444444-21-21-21-21-411-2-2-2-222-1-100-22200111100000000000000-1-100
χ314444-4-4-21-21-21-210-1-12222003-300-22-20011-1-100000000000000-1100
χ324444-4-4-21-21-21-210-1-1222200-3300-2-220011-1-1000000000000001-100
χ334444-4-4-21-21-21-210-1-122-2-2003-3002-2200-1-111000000000000001-100
χ344444-4-4-21-21-21-210-1-122-2-200-330022-200-1-11100000000000000-1100
χ3544-4-44-41-2-1-2-121202-21-1003i−3i00000000000003−33−300000000−i3i30000
χ3644-4-44-41-2-1-2-121202-21-1003i−3i0000000000000−33−3300000000i3−i30000
χ3744-4-44-41-2-1-2-121202-21-100−3i3i00000000000003−33−300000000i3−i30000
χ3844-4-44-41-2-1-2-121202-21-100−3i3i0000000000000−33−3300000000−i3i30000
χ3944-4-44-444-44-4-44-40-444-400000000000000000000000000000000000
χ404-44-40044-4-444-4-4000000000004-4000000000000000000000000000
χ414-4-4400444-4-4-4-44000000000000000000000000000002i−2i−2i2i0000000
χ424-4-4400444-4-4-4-4400000000000000000000000000000−2i2i2i−2i0000000
χ438888-8-82-42-42-42-4044-2-200000000000000000000000000000000000
χ4488-8-88-8-42424-2-4-20-22-4400000000000000000000000000000000000
χ4588-8-8-882-4-2-4-24240-44-2200000000000000000000000000000000000
χ4688-8-8-88-42424-2-4-202-24-400000000000000000000000000000000000
χ478-88-8002-4-242-4-240000000000000000−2i22i20000i2i2−i2−i200000000000000
χ488-88-8002-4-242-4-2400000000000000002i2−2i20000−i2−i2i2i200000000000000
χ498-88-800-424-2-424-2000004i−4i0000000000000−2i2i000000000000000000
χ508-88-800-424-2-424-200000−4i4i00000000000002i−2i000000000000000000
χ518-8-88002-424-24-2-40000000000000000000000i6−i6−i6i600000000000000
χ528-8-88002-424-24-2-40000000000000000000000−i6i6i6−i600000000000000
χ538-8-8800-42-4-24-24200000000000000000023−2300000000000000000000
χ548-8-8800-42-4-24-242000000000000000000−232300000000000000000000

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