Finite Group Databasebeta

← Group #11781413

Character table — Group #11781413

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111224444444444888816161616181818181818242424242424242424242424363636363636363636484848484848
order12224433446666661212121212121212448888888824242424242424244448888884412121212
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1-11-1-1-111
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1111-1-1
χ511111111-1-11111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ611111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111
χ711111111-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1111-1-1
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-1-1-111
χ9222222222222222222222222-2-20000000000000000-2-2-2000000000000
χ1022222222-2-22222222222-2-2-2-2-2-20000000000000000-222000000000000
χ112222-2-22200222222-2-2-2-20000222222000000000000-200-2-20000000000
χ122222-2-22200222222-2-2-2-2000022-2-2-2-2000000000000-200220000000000
χ132222-2-22200222222-2-2-2-20000-2-20000000000000000200002i2i−2i−2i000000
χ142222-2-22200222222-2-2-2-20000-2-2000000000000000020000−2i−2i2i2i000000
χ1522-2-22-22200-2-2-22-22-222-2000000−i2−i2i2i200000000000002i−2i−i2i22−22−2000000
χ1622-2-22-22200-2-2-22-22-222-2000000−i2−i2i2i20000000000000−2i2i−i2i2−22−22000000
χ1722-2-22-22200-2-2-22-22-222-2000000i2i2−i2−i200000000000002i−2ii2−i2−22−22000000
χ1822-2-22-22200-2-2-22-22-222-2000000i2i2−i2−i20000000000000−2i2ii2−i22−22−2000000
χ1922-2-2-22222-2-2-2-22-222-2-222-22-200−i2−i2i2i2000000000000000i2−i2−i2i2i2−i2000000
χ2022-2-2-22222-2-2-2-22-222-2-222-22-200i2i2−i2−i2000000000000000−i2i2i2−i2−i2i2000000
χ2122-2-2-2222-22-2-2-22-222-2-22-22-2200−i2−i2i2i2000000000000000i2−i2i2−i2−i2i2000000
χ2222-2-2-2222-22-2-2-22-222-2-22-22-2200i2i2−i2−i2000000000000000−i2i2−i2i2i2−i2000000
χ232-22-20022002-2-2-22-200000000-222i−2i2i−2i2−2−i2i222−2−2−i2−i2i2i2000000000000000
χ242-22-20022002-2-2-22-200000000-222i−2i2i−2i−22i2−i2−2−222i2i2−i2−i2000000000000000
χ252-22-20022002-2-2-22-200000000-22−2i2i−2i2i2−2i2−i222−2−2i2i2−i2−i2000000000000000
χ262-22-20022002-2-2-22-200000000-22−2i2i−2i2i−22−i2i2−2−222−i2−i2i2i2000000000000000
χ274444441-24411-2-2-21-21-21-2-2110000002200-1-1-1-100000000000002000-1-1
χ284444441-24411-2-2-21-21-21-2-211000000-2-20011110000000000000-200011
χ294444441-2-4-411-2-2-21-21-2122-1-10000002200-1-1-1-10000000000000-200011
χ304444441-2-4-411-2-2-21-21-2122-1-1000000-2-200111100000000000002000-1-1
χ31444444-2144-2-2111-21-21-211-2-200000000220000-1-1-1-100000000002-1-100
χ32444444-2144-2-2111-21-21-211-2-200000000-2-2000011110000000000-21100
χ33444444-21-4-4-2-2111-21-21-2-1-12200000000220000-1-1-1-10000000000-21100
χ34444444-21-4-4-2-2111-21-21-2-1-12200000000-2-20000111100000000002-1-100
χ3544-4-4-441-24-4-1-12-221-2-121-221-10000000000−i3i3−i3i300000000000000000−i3i3
χ3644-4-4-441-24-4-1-12-221-2-121-221-10000000000i3−i3i3−i300000000000000000i3−i3
χ3744-4-4-441-2-44-1-12-221-2-1212-2-110000000000−i3i3−i3i300000000000000000i3−i3
χ3844-4-4-441-2-44-1-12-221-2-1212-2-110000000000i3−i3i3−i300000000000000000−i3i3
χ3944-4-4-44-214-422-11-1-212-1-21-1-22000000000000003−33−3000000000003−300
χ4044-4-4-44-214-422-11-1-212-1-21-1-2200000000000000−33−3300000000000−3300
χ4144-4-4-44-21-4422-11-1-212-1-2-112-2000000000000003−33−300000000000−3300
χ4244-4-4-44-21-4422-11-1-212-1-2-112-200000000000000−33−33000000000003−300
χ434-44-40044004-4-4-44-4000000004-40000000000000000000000000000000
χ444-4-44004400-444-4-4-4000000000022−22−2222000000000000000000000000000
χ454-4-44004400-444-4-4-40000000000−222222−22000000000000000000000000000
χ468888-8-82-40022-4-4-424-24-20000000000000000000000000000000000000
χ478888-8-8-4200-4-4222-4-24-240000000000000000000000000000000000000
χ4888-8-88-82-400-2-24-44242-4-20000000000000000000000000000000000000
χ4988-8-88-8-420044-22-2-4-2-4240000000000000000000000000000000000000
χ508-88-8002-4002-244-4-20000000000000022−2200−2−2220000000000000000000
χ518-88-8002-4002-244-4-200000000000000−22220022−2−20000000000000000000
χ528-88-800-4200-44-2-2240000000000000000−2i22i20000i2i2−i2−i2000000000000000
χ538-88-800-4200-44-2-22400000000000000002i2−2i20000−i2−i2i2i2000000000000000
χ548-8-88002-400-22-444-2000000000000000000i6−i6−i6i60000000000000000000
χ558-8-88002-400-22-444-2000000000000000000−i6i6i6−i60000000000000000000
χ568-8-8800-42004-42-2-240000000000000000000000i6−i6−i6i6000000000000000
χ578-8-8800-42004-42-2-240000000000000000000000−i6i6i6−i6000000000000000

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