Finite Group Databasebeta

← Group #11770927

Character table — Group #11770927

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111122448888888888888888181818181818181836363636363636367272727272727272
order122244443666121212121212121212121212224444448888888844448888
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1ii−i−iii−i−i
χ6111111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1−i−iii−i−iii
χ7111111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111ii−i−i−i−iii
χ8111111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111−i−iiiii−i−i
χ91111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1-11-1i−ii−i
χ101111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-11-11−ii−ii
χ111111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii1-11-1−ii−ii
χ121111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii-11-11i−ii−i
χ131111-1-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-11ii−i−i−i−iiii−i−ii-111-1
χ141111-1-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-11ii−i−i−i−iii−iii−i1-1-11
χ151111-1-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-11−i−iiiii−i−ii−i−ii1-1-11
χ161111-1-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-11−i−iiiii−i−i−iii−i-111-1
χ17222222222222222222222222-2-2-2-2-2-2-2-20000000000000000
χ18222222-2-222222222-2-2-2-2-2-2-2-222-2-22-2-220000000000000000
χ192222-2-22-22222-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000
χ202222-2-2-222222-2-2-2-2-2-2-2-2222222-2-2-222-20000000000000000
χ2122-2-22-20022-2-222-2-2000000002-200200-22−22−22−22−200000000
χ2222-2-22-20022-2-222-2-2000000002-200200-2−22−22−22−2200000000
χ2322-2-22-20022-2-222-2-200000000-2200-20022−22−2−22−2200000000
χ2422-2-22-20022-2-222-2-200000000-2200-2002−22−222−22−200000000
χ2522-2-2-220022-2-2-2-222000000002-200-2002i2−i2−i2i2i2−i2−i2i200000000
χ2622-2-2-220022-2-2-2-222000000002-200-2002−i2i2i2−i2−i2i2i2−i200000000
χ2722-2-2-220022-2-2-2-22200000000-2200200-2i2−i2−i2i2−i2i2i2−i200000000
χ2822-2-2-220022-2-2-2-22200000000-2200200-2−i2i2i2−i2i2−i2−i2i200000000
χ294-44-400004-44-4000000000000000004i−4i00000000000000000
χ304-44-400004-44-400000000000000000−4i4i00000000000000000
χ314-4-4400004-4-44000000000000004i−4i00000000000000000000
χ324-4-4400004-4-4400000000000000−4i4i00000000000000000000
χ3388888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34888888-8-8-1-1-1-1-1-1-1-111111111000000000000000000000000
χ358888-8-88-8-1-1-1-11111-1-1-1-11111000000000000000000000000
χ368888-8-8-88-1-1-1-111111111-1-1-1-1000000000000000000000000
χ3788-8-88-800-1-111-1-1113i3i−3i−3i3i3i−3i−3i000000000000000000000000
χ3888-8-88-800-1-111-1-111−3i−3i3i3i−3i−3i3i3i000000000000000000000000
χ3988-8-8-8800-1-11111-1-13i3i−3i−3i−3i−3i3i3i000000000000000000000000
χ4088-8-8-8800-1-11111-1-1−3i−3i3i3i3i3i−3i−3i000000000000000000000000
χ418-88-80000-11-113i−3i3i−3i3-33-33i−3i3i−3i000000000000000000000000
χ428-88-80000-11-113i−3i3i−3i-33-33−3i3i−3i3i000000000000000000000000
χ438-88-80000-11-11−3i3i−3i3i3-33-3−3i3i−3i3i000000000000000000000000
χ448-88-80000-11-11−3i3i−3i3i-33-333i−3i3i−3i000000000000000000000000
χ458-8-880000-111-13i−3i−3i3i3i−3i−3i3i-333-3000000000000000000000000
χ468-8-880000-111-13i−3i−3i3i−3i3i3i−3i3-3-33000000000000000000000000
χ478-8-880000-111-1−3i3i3i−3i3i−3i−3i3i3-3-33000000000000000000000000
χ488-8-880000-111-1−3i3i3i−3i−3i3i3i−3i-333-3000000000000000000000000

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