Finite Group Databasebeta

← Group #11779746

Character table — Group #11779746

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444888881212161616161818242424242424242424242424243636363636363648484848487272
order1222443366666641212121222121212124422466881212242424242248888466121288
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1111-1-1-1-1-111-1-1-1-1
χ31111111111111111111-1-1111111-1-1-1-1-111-1-11111111-1-1-1-11-1-111-1-1
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
χ611111111111111-1111111-1-1-1-111-1-1111-1-111-1-1-1-1-1-11-1-1-1-11-1-11111
χ711111111111111-11111-1-1-1-1-1-11111-1-1-111-1-11111-1-11-1-1-1-1-111-1-111
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
χ132222-2-2222222220-2-2-2-22200002200-22200-2-2000000-200000000000
χ142222-2-2222222220-2-2-2-2-2-2000022002-2-20022000000-200000000000
χ1522-2-22-222-2-22-22-2022-2-20000000000000000000002-20−i2−i2i2i200000−i2i2
χ1622-2-22-222-2-22-22-2022-2-20000000000000000000002-20i2i2−i2−i200000i2−i2
χ1722-2-22-222-2-22-22-2022-2-2000000000000000000000-220−i2−i2i2i200000i2−i2
χ1822-2-22-222-2-22-22-2022-2-2000000000000000000000-220i2i2−i2−i200000−i2i2
χ192-2-220022-2-2-22-22000002-20000-220002-22−20022−2−20002−22−20000000
χ202-2-220022-2-2-22-22000002-20000-220002-2−2200−2−222000−22−220000000
χ212-2-220022-2-2-22-2200000-220000-22000-222−20022−2−2000−22−220000000
χ222-2-220022-2-2-22-2200000-220000-22000-22−2200−2−2220002−22−20000000
χ234444441-21-21-2-2141-2-2100-2-21100000002200-1-1-1-10000000200-1-100
χ244444441-21-21-2-2141-2-2100-2-2110000000-2-20011110000000-2001100
χ254444441-21-21-2-21-41-2-210022-1-100000002200-1-1-1-10000000-2001100
χ264444441-21-21-2-21-41-2-210022-1-10000000-2-20011110000000200-1-100
χ27444444-21-21-211-24-211-22211-2-200222-1-100-1-1000000000000-1-10000
χ28444444-21-21-211-24-211-2-2-211-2-200-2-2-2110011000000000000110000
χ29444444-21-21-211-2-4-211-222-1-12200-2-22-1-100-1-1000000000000110000
χ30444444-21-21-211-2-4-211-2-2-2-1-1220022-2110011000000000000-1-10000
χ314444-4-4-21-21-211-202-1-12223-300002-2-2-1-10011000000000000-110000
χ324444-4-4-21-21-211-202-1-1222-330000-22-2-1-100110000000000001-10000
χ334444-4-4-21-21-211-202-1-12-2-23-30000-2221100-1-10000000000001-10000
χ344444-4-4-21-21-211-202-1-12-2-2-3300002-221100-1-1000000000000-110000
χ3544-4-4-441-2-1212-2-10-12-2100003i−3i00000000000−i3i3−i3i300000000003−300
χ3644-4-4-441-2-1212-2-10-12-2100003i−3i00000000000i3−i3i3−i30000000000−3300
χ3744-4-4-441-2-1212-2-10-12-210000−3i3i00000000000−i3i3−i3i30000000000−3300
χ3844-4-4-441-2-1212-2-10-12-210000−3i3i00000000000i3−i3i3−i300000000003−300
χ3944-4-4-4444-4-44-44-40-4-44400000000000000000000000000000000000
χ404-44-4004444-4-4-4-4000000000000000000000000000002i−2i−2i2i0000000
χ414-44-4004444-4-4-4-400000000000000000000000000000−2i2i2i−2i0000000
χ424-4-440044-4-4-44-44000000000004-4000000000000000000000000000
χ438888-8-82-42-42-4-420-244-200000000000000000000000000000000000
χ4488-8-88-82-4-2424-4-202-44-200000000000000000000000000000000000
χ4588-8-88-8-424-2-4-2240-42-2400000000000000000000000000000000000
χ4688-8-8-88-424-2-4-22404-22-400000000000000000000000000000000000
χ478-88-8002-42-4-244-20000000000000000000000i6−i6−i6i600000000000000
χ488-88-8002-42-4-244-20000000000000000000000−i6i6i6−i600000000000000
χ498-88-800-42-424-2-240000000000000000000023−23000000000000000000
χ508-88-800-42-424-2-2400000000000000000000−2323000000000000000000
χ518-8-88002-4-24-2-44200000000000000000022−2200−2−22200000000000000
χ528-8-88002-4-24-2-442000000000000000000−22220022−2−200000000000000
χ538-8-8800-424-242-2-4000004-4000000000-220000000000000000000000
χ548-8-8800-424-242-2-400000-440000000002-20000000000000000000000

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