Finite Group Databasebeta

← Group #11779320

Character table — Group #11779320

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
χ1522-2-22-222-22-2-22-2022-2-20000000000000000000002-20−i2−i2i2i200000−i2i2
χ1622-2-22-222-22-2-22-2022-2-20000000000000000000002-20i2i2−i2−i200000i2−i2
χ1722-2-22-222-22-2-22-2022-2-2000000000000000000000-220−i2−i2i2i200000i2−i2
χ1822-2-22-222-22-2-22-2022-2-2000000000000000000000-220i2i2−i2−i200000−i2i2
χ192-22-20022-2-222-2-2000002-200002-20002-2−i2i200−i2−i2i2i2000−i2i2−i2i20000000
χ202-22-20022-2-222-2-2000002-200002-20002-2i2−i200i2i2−i2−i2000i2−i2i2−i20000000
χ212-22-20022-2-222-2-200000-2200002-2000-22−i2i200−i2−i2i2i2000i2−i2i2−i20000000
χ222-22-20022-2-222-2-200000-2200002-2000-22i2−i200i2i2−i2−i2000−i2i2−i2i20000000
χ234444441-2-211-2-2141-2-210011-2-200000002200-1-1-1-10000000200-1-100
χ244444441-2-211-2-2141-2-210011-2-20000000-2-20011110000000-2001100
χ254444441-2-211-2-21-41-2-2100-1-12200000002200-1-1-1-10000000-2001100
χ264444441-2-211-2-21-41-2-2100-1-1220000000-2-20011110000000200-1-100
χ27444444-211-2-211-24-211-222-2-21100222-1-100-1-1000000000000-1-10000
χ28444444-211-2-211-24-211-2-2-2-2-21100-2-2-2110011000000000000110000
χ29444444-211-2-211-2-4-211-22222-1-100-2-22-1-100-1-1000000000000110000
χ30444444-211-2-211-2-4-211-2-2-222-1-10022-2110011000000000000-1-10000
χ314444-4-4-211-2-211-202-1-1222003-3002-2-2-1-10011000000000000-110000
χ324444-4-4-211-2-211-202-1-122200-3300-22-2-1-100110000000000001-10000
χ334444-4-4-211-2-211-202-1-12-2-2003-300-2221100-1-10000000000001-10000
χ344444-4-4-211-2-211-202-1-12-2-200-33002-221100-1-1000000000000-110000
χ3544-4-4-441-221-12-2-10-12-21003i−3i0000000000000−i3i3−i3i300000000003−300
χ3644-4-4-441-221-12-2-10-12-21003i−3i0000000000000i3−i3i3−i30000000000−3300
χ3744-4-4-441-221-12-2-10-12-2100−3i3i0000000000000−i3i3−i3i30000000000−3300
χ3844-4-4-441-221-12-2-10-12-2100−3i3i0000000000000i3−i3i3−i300000000003−300
χ3944-4-4-4444-44-4-44-40-4-44400000000000000000000000000000000000
χ404-44-40044-4-444-4-400000000000-44000000000000000000000000000
χ414-4-4400444-4-4-4-44000000000000000000000000000002-2-220000000
χ424-4-4400444-4-4-4-4400000000000000000000000000000-222-20000000
χ438888-8-82-4-422-4-420-244-200000000000000000000000000000000000
χ4488-8-88-82-442-24-4-202-44-200000000000000000000000000000000000
χ4588-8-88-8-42-2-44-2240-42-2400000000000000000000000000000000000
χ4688-8-8-88-42-2-44-22404-22-400000000000000000000000000000000000
χ478-88-8002-44-22-44-2000000000000000000−2i22i200i2i2−i2−i200000000000000
χ488-88-8002-44-22-44-20000000000000000002i2−2i200−i2−i2i2i200000000000000
χ498-88-800-42-24-42-24000004-4000000000-220000000000000000000000
χ508-88-800-42-24-42-2400000-440000000002-20000000000000000000000
χ518-8-88002-4-4-2-244200000000000000000000006−6−6600000000000000
χ528-8-88002-4-4-2-24420000000000000000000000−666−600000000000000
χ538-8-8800-42244-2-2-40000000000000000000023−23000000000000000000
χ548-8-8800-42244-2-2-400000000000000000000−2323000000000000000000

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