Finite Group Databasebeta

← Group #11780125

Character table — Group #11780125

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888121212121212161618182424242424242424242424242424243636363636484848727272
order1222443344666666121212121212121222666612124444488121212121212242424244888841212288
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
χ511111111-1-1111111111-1-1-1-11111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-1-1-1
χ611111111-1-1111111111-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-111
χ711111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-111-11111-1-1111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111111111-1-1-1
χ922222222222222222222222200000022-2-2000000000000000-20000000-200
χ1022222222-2-2222222222-2-2-2-22000000-2-2-2-2000000000000000-20000000200
χ112222-2-22200222222-2-2-20000-200000000-2-202-2000022-2-2000020000000000
χ122222-2-22200222222-2-2-20000-200000000-2-20-220000-2-222000020000000000
χ132222-2-22200222222-2-2-20000-22222220022-20000-2-200000000-20000000000
χ142222-2-22200222222-2-2-20000-2-2-2-2-2-2-20022200002200000000-20000000000
χ1522-2-2-22222i−2i-2-222-2-2-22-22i2i−2i−2i20000002i−2i00000000000000000022−2−20000−i2i2
χ1622-2-2-22222i−2i-2-222-2-2-22-22i2i−2i−2i20000002i−2i000000000000000000−2−2220000i2−i2
χ1722-2-2-2222−2i2i-2-222-2-2-22-2−2i−2i2i2i2000000−2i2i00000000000000000022−2−20000i2−i2
χ1822-2-2-2222−2i2i-2-222-2-2-22-2−2i−2i2i2i2000000−2i2i000000000000000000−2−2220000−i2i2
χ192-2-22002200-2-2-2-222000000002-222-2-200-220002−200000022−2−202−22−2000000
χ202-2-22002200-2-2-2-222000000002-222-2-200-22000−22000000−2−2220−22−22000000
χ212-2-22002200-2-2-2-22200000000-22-2-22200-220002−200000022−2−20−22−22000000
χ222-2-22002200-2-2-2-22200000000-22-2-22200-22000−22000000−2−22202−22−2000000
χ234444441-2441-21-21-21-2-2-2-2-2-21000000110000022000000-1-1-1-1000002-1-1000
χ244444441-2441-21-21-21-2-2-2-2-2-210000001100000-2-2000000111100000-211000
χ254444441-2-4-41-21-21-21-2-222221000000-1-10000022000000-1-1-1-100000-211000
χ264444441-2-4-41-21-21-21-2-222221000000-1-100000-2-20000001111000002-1-1000
χ27444444-2144-21-21-21-2111111-222-1-1-1-1-2-20022200-1-1-1-1-1-1000000000000000
χ28444444-2144-21-21-21-2111111-2-2-21111-2-200-2-2-200111111000000000000000
χ29444444-21-4-4-21-21-21-211-1-1-1-1-222-1-1-1-122002-2-200-1-11111000000000000000
χ30444444-21-4-4-21-21-21-211-1-1-1-1-2-2-211112200-2220011-1-1-1-1000000000000000
χ314444-4-4-2100-21-21-212-1-13-33-3222-1-1-1-10000-22-20011-1-111000000000000000
χ324444-4-4-2100-21-21-212-1-13-33-32-2-2111100002-2200-1-111-1-1000000000000000
χ334444-4-4-2100-21-21-212-1-1-33-33222-1-1-1-10000-2-22001111-1-1000000000000000
χ344444-4-4-2100-21-21-212-1-1-33-332-2-21111000022-200-1-1-1-111000000000000000
χ3544-4-44-44400-4-444-4-44-440000-4000000000000000000000000000000000000
χ3644-4-44-4-21002-1-212-1-2-113i−3i−3i3i200−i3i3−i3i3000000000−i3i33−33−3000000000000000
χ3744-4-44-4-21002-1-212-1-2-113i−3i−3i3i200i3−i3i3−i3000000000i3−i3−33−33000000000000000
χ3844-4-44-4-21002-1-212-1-2-11−3i3i3i−3i200−i3i3−i3i3000000000−i3i3−33−33000000000000000
χ3944-4-44-4-21002-1-212-1-2-11−3i3i3i−3i200i3−i3i3−i3000000000i3−i33−33−3000000000000000
χ4044-4-4-441-24i−4i-121-2-12-1-22−2i−2i2i2i1000000i−i0000000000000−i3i3−i3i30000003−3000
χ4144-4-4-441-24i−4i-121-2-12-1-22−2i−2i2i2i1000000i−i0000000000000i3−i3i3−i3000000−33000
χ4244-4-4-441-2−4i4i-121-2-12-1-222i2i−2i−2i1000000−ii0000000000000−i3i3−i3i3000000−33000
χ4344-4-4-441-2−4i4i-121-2-12-1-222i2i−2i−2i1000000−ii0000000000000i3−i3i3−i30000003−3000
χ4444-4-4-44-214i−4i2-1-212-121-1ii−i−i-200−i3i3−i3i3−2i2i0000000i3−i33−3−33000000000000000
χ4544-4-4-44-214i−4i2-1-212-121-1ii−i−i-200i3−i3i3−i3−2i2i0000000−i3i3−333−3000000000000000
χ4644-4-4-44-21−4i4i2-1-212-121-1−i−iii-200−i3i3−i3i32i−2i0000000i3−i3−333−3000000000000000
χ4744-4-4-44-21−4i4i2-1-212-121-1−i−iii-200i3−i3i3−i32i−2i0000000−i3i33−3−33000000000000000
χ484-44-400440044-4-4-4-400000000000000000000000000000000002-2-22000000
χ494-44-400440044-4-4-4-40000000000000000000000000000000000-222-2000000
χ504-4-44004400-4-4-4-44400000000000000004-400000000000000000000000000
χ518888-8-82-4002-42-42-4-2440000-2000000000000000000000000000000000000
χ5288-8-88-82-400-242-4-2424-40000-2000000000000000000000000000000000000
χ538-88-8002-4002-4-24-2400000000000000000000000000000i6−i6−i6i600000000000
χ548-88-8002-4002-4-24-2400000000000000000000000000000−i6i6i6−i600000000000
χ558-88-800-4200-424-24-20000000000−2i32i32i3−2i3000000000000000000000000000000
χ568-88-800-4200-424-24-200000000002i3−2i3−2i32i3000000000000000000000000000000
χ578-8-88002-400-24-242-400000000000000000000022−22000000−2−22200000000000
χ588-8-88002-400-24-242-4000000000000000000000−222200000022−2−200000000000
χ598-8-8800-42004-24-2-42000000004-4-2-222000000000000000000000000000000
χ608-8-8800-42004-24-2-4200000000-4422-2-2000000000000000000000000000000

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