Finite Group Databasebeta

← Group #11781194

Character table — Group #11781194

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111224444444444888816161616181818181818242424242424242424242424363636363636363636484848484848
order12224433446666661212121212121212448888888824242424242424242248888884412121212
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1-11-111-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-11-1-111
χ511111111-1-11111111111-1-1-1-1111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1
χ611111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111
χ711111111-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11-1-11111-11-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-1-111111-111-1-1
χ9222222222222222222222222-2-20000000000000000-2-2-2000000000000
χ1022222222-2-22222222222-2-2-2-2-2-2000000000000000022-2000000000000
χ112222-2-22200222222-2-2-2-2000022222200000000000000-2-2-20000000000
χ122222-2-22200222222-2-2-2-2000022-2-2-2-200000000000000-2220000000000
χ132222-2-22200222222-2-2-2-20000-2-20000000000000000002002i2i−2i−2i000000
χ142222-2-22200222222-2-2-2-20000-2-2000000000000000000200−2i−2i2i2i000000
χ1522-2-22-2220022-2-2-2-222-2-200000022−2−20000000000002-202−22−22−2000000
χ1622-2-22-2220022-2-2-2-222-2-200000022−2−2000000000000-2202−2−22−22000000
χ1722-2-22-2220022-2-2-2-222-2-2000000−2−2220000000000002-20−22−22−22000000
χ1822-2-22-2220022-2-2-2-222-2-2000000−2−222000000000000-220−222−22−2000000
χ1922-2-2-22222i−2i22-2-2-2-2-2-2222i2i−2i−2i0022−2−2000000000000000−22−i2i2i2−i2000000
χ2022-2-2-22222i−2i22-2-2-2-2-2-2222i2i−2i−2i00−2−2220000000000000002−2i2−i2−i2i2000000
χ2122-2-2-2222−2i2i22-2-2-2-2-2-222−2i−2i2i2i0022−2−2000000000000000−22i2−i2−i2i2000000
χ2222-2-2-2222−2i2i22-2-2-2-2-2-222−2i−2i2i2i00−2−2220000000000000002−2−i2i2i2−i2000000
χ232-22-2002200-2-222-2-200000000-222-22-2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000000000000
χ242-22-2002200-2-222-2-200000000-222-22-2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000
χ252-22-2002200-2-222-2-200000000-22-22-22−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000
χ262-22-2002200-2-222-2-200000000-22-22-22i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2000000000000000
χ274444441-2441-21-21-21-21-21-21-200000000220000-1-1-1-10000000000200-1-1
χ284444441-2441-21-21-21-21-21-21-200000000-2-2000011110000000000-20011
χ294444441-2-4-41-21-21-21-21-2-12-1200000000220000-1-1-1-10000000000-20011
χ304444441-2-4-41-21-21-21-21-2-12-1200000000-2-2000011110000000000200-1-1
χ31444444-2144-21-21-21-21-21-21-210000002200-1-1-1-1000000000000020-1-100
χ32444444-2144-21-21-21-21-21-21-21000000-2-20011110000000000000-201100
χ33444444-21-4-4-21-21-21-21-212-12-10000002200-1-1-1-10000000000000-201100
χ34444444-21-4-4-21-21-21-21-212-12-1000000-2-2001111000000000000020-1-100
χ3544-4-4-441-24i−4i1-2-12-12-121-2i−2i−i2i00000000000000−i3i3−i3i300000000000003−3
χ3644-4-4-441-24i−4i1-2-12-12-121-2i−2i−i2i00000000000000i3−i3i3−i30000000000000−33
χ3744-4-4-441-2−4i4i1-2-12-12-121-2−i2ii−2i00000000000000−i3i3−i3i30000000000000−33
χ3844-4-4-441-2−4i4i1-2-12-12-121-2−i2ii−2i00000000000000i3−i3i3−i300000000000003−3
χ3944-4-4-44-214i−4i-212-12-12-1-21−2ii2i−i0000000000−i3i3−i3i30000000000000003−300
χ4044-4-4-44-214i−4i-212-12-12-1-21−2ii2i−i0000000000i3−i3i3−i3000000000000000−3300
χ4144-4-4-44-21−4i4i-212-12-12-1-212i−i−2ii0000000000−i3i3−i3i3000000000000000−3300
χ4244-4-4-44-21−4i4i-212-12-12-1-212i−i−2ii0000000000i3−i3i3−i30000000000000003−300
χ434-44-4004400-4-444-4-4000000004-40000000000000000000000000000000
χ444-4-44004400-4-4-4-444000000000022−22−2222000000000000000000000000000
χ454-4-44004400-4-4-4-4440000000000−222222−22000000000000000000000000000
χ468888-8-82-4002-42-42-4-24-240000000000000000000000000000000000000
χ478888-8-8-4200-42-42-424-24-20000000000000000000000000000000000000
χ4888-8-88-82-4002-4-24-242-4-240000000000000000000000000000000000000
χ4988-8-88-8-4200-424-24-2-424-20000000000000000000000000000000000000
χ508-88-8002-400-242-4-240000000000000000−2i22i20000i2i2−i2−i2000000000000000
χ518-88-8002-400-242-4-2400000000000000002i2−2i20000−i2−i2i2i2000000000000000
χ528-88-800-42004-2-424-200000000000000−2i22i200i2i2−i2−i20000000000000000000
χ538-88-800-42004-2-424-2000000000000002i2−2i200−i2−i2i2i20000000000000000000
χ548-8-88002-400-24-242-400000000000000000000006−6−66000000000000000
χ558-8-88002-400-24-242-40000000000000000000000−666−6000000000000000
χ568-8-8800-42004-24-2-420000000000000000006−6−660000000000000000000
χ578-8-8800-42004-24-2-42000000000000000000−666−60000000000000000000

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