Finite Group Databasebeta

← Group #11779032

Character table — Group #11779032

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888121212121212161618182424242424242424242424242424243636363636484848727272
order122244223366666666661212121244121212126644444881212121212122424242448888266488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111
χ5111111-1-111111111-1-1-1-11111111111-1-111-1-111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111-1-111111111-1-1-1-11111111111-1-111-1-11-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-111
χ7111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1111111111-1-1-1-1-1-1-1-111
χ8111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111111111-1-1-1
χ922222222222222222222222200000022-2-2000000000000000-20000000-200
χ10222222-2-222222222-2-2-2-22222000000-2-2-2-2000000000000000-20000000200
χ112222-2-200222222220000-2-2-2-200000000-2-22-20000022-2-2000020000000000
χ122222-2-200222222220000-2-2-2-200000000-2-2-2200000-2-222000020000000000
χ132222-2-200222222220000-2-2-2-2222222002200-200-2-200000000-20000000000
χ142222-2-200222222220000-2-2-2-2-2-2-2-2-2-20022002002200000000-20000000000
χ1522-2-2-222-222-2-222-2-222-2-22-2-220000002-2000000000000000000−i2−i2i2i20000−i2i2
χ1622-2-2-222-222-2-222-2-222-2-22-2-220000002-2000000000000000000i2i2−i2−i20000i2−i2
χ1722-2-2-22-2222-2-222-2-2-2-2222-2-22000000-22000000000000000000−i2−i2i2i20000i2−i2
χ1822-2-2-22-2222-2-222-2-2-2-2222-2-22000000-22000000000000000000i2i2−i2−i20000−i2i2
χ192-2-220000222-2-2-22-2000000002i−2i2i2i−2i−2i002-20002−200000022−2−20−i2i2−i2i2000000
χ202-2-220000222-2-2-22-2000000002i−2i2i2i−2i−2i002-2000−22000000−2−2220i2−i2i2−i2000000
χ212-2-220000222-2-2-22-200000000−2i2i−2i−2i2i2i002-20002−200000022−2−20i2−i2i2−i2000000
χ222-2-220000222-2-2-22-200000000−2i2i−2i−2i2i2i002-2000−22000000−2−2220−i2i2−i2i2000000
χ23444444441-2-2-21-211111111-2-222-1-1-1-1-2-20022200-1-1-1-1-1-1000000000000000
χ24444444441-2-2-21-211111111-2-2-2-21111-2-200-2-2-200111111000000000000000
χ2544444444-2111-21-2-2-2-2-2-2-2-211000000110000022000000-1-1-1-1000002-1-1000
χ2644444444-2111-21-2-2-2-2-2-2-2-2110000001100000-2-2000000111100000-211000
χ27444444-4-41-2-2-21-211-1-1-1-111-2-222-1-1-1-12200-2-2200-1-11111000000000000000
χ28444444-4-41-2-2-21-211-1-1-1-111-2-2-2-21111220022-20011-1-1-1-1000000000000000
χ29444444-4-4-2111-21-2-22222-2-211000000-1-10000022000000-1-1-1-100000-211000
χ30444444-4-4-2111-21-2-22222-2-211000000-1-100000-2-20000001111000002-1-1000
χ314444-4-4001-2-2-21-2113-33-3-1-12222-1-1-1-100002-2-20011-1-111000000000000000
χ324444-4-4001-2-2-21-2113-33-3-1-122-2-211110000-22200-1-111-1-1000000000000000
χ334444-4-4001-2-2-21-211-33-33-1-12222-1-1-1-10000-22-2001111-1-1000000000000000
χ344444-4-4001-2-2-21-211-33-33-1-122-2-2111100002-2200-1-1-1-111000000000000000
χ3544-4-44-4001-2221-2-1-13-3-33-11-22003−33−30000000003−33−33−3000000000000000
χ3644-4-44-4001-2221-2-1-13-3-33-11-2200−33−33000000000−33−33−33000000000000000
χ3744-4-44-4001-2221-2-1-1-333-3-11-22003−33−30000000003−3−33−33000000000000000
χ3844-4-44-4001-2221-2-1-1-333-3-11-2200−33−33000000000−333−33−3000000000000000
χ3944-4-44-40044-4-444-4-40000-444-4000000000000000000000000000000000000
χ4044-4-4-444-41-2221-2-1-111-1-11-12-2003−33−3-220000000−333−3−33000000000000000
χ4144-4-4-444-41-2221-2-1-111-1-11-12-200−33−33-2200000003−3−333−3000000000000000
χ4244-4-4-444-4-21-1-1-2122-2-222-22-110000001-10000000000000−i3i3−i3i3000000−i3i3000
χ4344-4-4-444-4-21-1-1-2122-2-222-22-110000001-10000000000000i3−i3i3−i3000000i3−i3000
χ4444-4-4-44-441-2221-2-1-1-1-1111-12-2003−33−32-20000000−33−333−3000000000000000
χ4544-4-4-44-441-2221-2-1-1-1-1111-12-200−33−332-200000003−33−3−33000000000000000
χ4644-4-4-44-44-21-1-1-212222-2-2-22-11000000-110000000000000−i3i3−i3i3000000i3−i3000
χ4744-4-4-44-44-21-1-1-212222-2-2-22-11000000-110000000000000i3−i3i3−i3000000−i3i3000
χ484-44-4000044-44-4-4-4400000000000000000000000000000000002-2-22000000
χ494-44-4000044-44-4-4-440000000000000000000000000000000000-222-2000000
χ504-4-440000444-4-4-44-40000000000000000-4400000000000000000000000000
χ518888-8-800-4222-42-4-4000044-2-2000000000000000000000000000000000000
χ5288-8-88-800-42-2-2-424400004-42-2000000000000000000000000000000000000
χ538-88-800002-44-4-24-220000000000−2i32i32i3−2i3000000000000000000000000000000
χ548-88-800002-44-4-24-2200000000002i3−2i3−2i32i3000000000000000000000000000000
χ558-88-80000-42-224-24-400000000000000000000000000000i6−i6−i6i600000000000
χ568-88-80000-42-224-24-400000000000000000000000000000−i6i6i6−i600000000000
χ578-8-8800002-4-44-242-2000000004i−4i−2i−2i2i2i000000000000000000000000000000
χ588-8-8800002-4-44-242-200000000−4i4i2i2i−2i−2i000000000000000000000000000000
χ598-8-880000-422-24-2-4400000000000000000000022−22000000−2−22200000000000
χ608-8-880000-422-24-2-44000000000000000000000−222200000022−2−200000000000

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