Finite Group Databasebeta

← Group #11779982

Character table — Group #11779982

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444888881212161616161818242424242424242424242424243636363636363648484848487272
order122244336666664121212122212121212444446688121224242424444888841212121288
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
χ511111111111111-1111111-1-1-1-1111-1-11111111111-1-111111-1-1-1-1-1-1-1
χ611111111111111-1111111-1-1-1-1111-1-111-1-111-1-1-1-1-1-11-1-1-1-11-1-11111
χ711111111111111-11111-1-1-1-1-1-111-111-1-111-1-11111-1-11-1-1-1-1-111-1-111
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
χ112222-2-2222222220-2-2-2-2000000-2-202-20000000000002000002-20000
χ122222-2-2222222220-2-2-2-2000000-2-20-22000000000000200000-220000
χ132222-2-2222222220-2-2-2-222000022-2002200-2-2000000-200000000000
χ142222-2-2222222220-2-2-2-2-2-2000022200-2-20022000000-200000000000
χ1522-2-200222-22-2-2-2000002-200002-20002-22−20022−2−200022−2−20000000
χ1622-2-200222-22-2-2-2000002-200002-20002-2−2200−2−222000−2−2220000000
χ1722-2-200222-22-2-2-200000-2200002-2000-222−20022−2−2000−2−2220000000
χ1822-2-200222-22-2-2-200000-2200002-2000-22−2200−2−22200022−2−20000000
χ192-22-22-222-2-2-22-2202-22-20000000000000000000002i−2i0−i2i2−i2i2000002−2
χ202-22-22-222-2-2-22-2202-22-20000000000000000000002i−2i0i2−i2i2−i200000−22
χ212-22-22-222-2-2-22-2202-22-2000000000000000000000−2i2i0−i2i2−i2i200000−22
χ222-22-22-222-2-2-22-2202-22-2000000000000000000000−2i2i0i2−i2i2−i2000002−2
χ234444441-211-2-2-214-2-21100-2-21100000002200-1-1-1-10000000200-1-100
χ244444441-211-2-2-214-2-21100-2-2110000000-2-20011110000000-2001100
χ254444441-211-2-2-21-4-2-2110022-1-100000002200-1-1-1-10000000-2001100
χ264444441-211-2-2-21-4-2-2110022-1-10000000-2-20011110000000200-1-100
χ27444444-21-2-2111-2411-2-22211-2-200222-1-100-1-1000000000000-1-10000
χ28444444-21-2-2111-2411-2-2-2-211-2-200-2-2-2110011000000000000110000
χ29444444-21-2-2111-2-411-2-222-1-122002-2-2-1-100-1-1000000000000110000
χ30444444-21-2-2111-2-411-2-2-2-2-1-12200-222110011000000000000-1-10000
χ314444-4-4-21-2-2111-20-1-122223-30000-22-2-1-10011000000000000-110000
χ324444-4-4-21-2-2111-20-1-12222-330000-2-22-1-100110000000000001-10000
χ334444-4-4-21-2-2111-20-1-122-2-23-300002-221100-1-10000000000001-10000
χ344444-4-4-21-2-2111-20-1-122-2-2-33000022-21100-1-1000000000000-110000
χ3544-4-400444-44-4-4-400000000000-44000000000000000000000000000
χ364-44-4-441-2-1-12-22102-2-1100003-300000000000−i3i3−i3i30000000000−i3i300
χ374-44-4-441-2-1-12-22102-2-1100003-300000000000i3−i3i3−i30000000000i3−i300
χ384-44-4-441-2-1-12-22102-2-110000-3300000000000−i3i3−i3i30000000000i3−i300
χ394-44-4-441-2-1-12-22102-2-110000-3300000000000i3−i3i3−i30000000000−i3i300
χ404-44-4-4444-4-4-44-440-44-4400000000000000000000000000000000000
χ414-4-440044-44-4-44-4000000000000000000000000000002i−2i−2i2i0000000
χ424-4-440044-44-4-44-400000000000000000000000000000−2i2i2i−2i0000000
χ438888-8-82-422-4-4-42044-2-200000000000000000000000000000000000
χ4488-8-8002-42-2-444-200000000000000000022−2200−2−22200000000000000
χ4588-8-8002-42-2-444-2000000000000000000−22220022−2−200000000000000
χ4688-8-800-42-442-2-24000004-4000000000-220000000000000000000000
χ4788-8-800-42-442-2-2400000-440000000002-20000000000000000000000
χ488-88-88-82-4-2-24-4420-442-200000000000000000000000000000000000
χ498-88-88-8-4244-22-2-402-2-4400000000000000000000000000000000000
χ508-88-8-88-4244-22-2-40-224-400000000000000000000000000000000000
χ518-8-88002-4-2244-4-20000000000000000000000i6−i6−i6i600000000000000
χ528-8-88002-4-2244-4-20000000000000000000000−i6i6i6−i600000000000000
χ538-8-8800-424-4-2-2240000000000000000000023−23000000000000000000
χ548-8-8800-424-4-2-22400000000000000000000−2323000000000000000000

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