Finite Group Databasebeta

← Group #11790186

Character table — Group #11790186

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11112244888888888888888899991818363636363636363636367272727272727272
order122244883666121212122424242424242424222244444488888844444444
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111
χ5111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111
χ6111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ7111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ8111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111
χ91-1-111-1i−i1-1-1111-1-1iiii−i−i−i−i1-1-11-11ii−i−ii−i11-1-1i−ii−i1-11-1
χ101-1-111-1i−i1-1-1111-1-1iiii−i−i−i−i1-1-11-11ii−i−ii−i11-1-1−ii−ii-11-11
χ111-1-111-1i−i1-1-1111-1-1iiii−i−i−i−i1-1-11-11−i−iiii−i-1-111i−i−ii1-1-11
χ121-1-111-1i−i1-1-1111-1-1iiii−i−i−i−i1-1-11-11−i−iiii−i-1-111−iii−i-111-1
χ131-1-111-1−ii1-1-1111-1-1−i−i−i−iiiii1-1-11-11ii−i−i−ii-1-111i−i−ii-111-1
χ141-1-111-1−ii1-1-1111-1-1−i−i−i−iiiii1-1-11-11ii−i−i−ii-1-111−iii−i1-1-11
χ151-1-111-1−ii1-1-1111-1-1−i−i−i−iiiii1-1-11-11−i−iii−ii11-1-1i−ii−i-11-11
χ161-1-111-1−ii1-1-1111-1-1−i−i−i−iiiii1-1-11-11−i−iii−ii11-1-1−ii−ii1-11-1
χ17222222222222222222222222-2-2-2-2-2-20000-2-2000000000000
χ18222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022000000000000
χ192222-2-2002222-2-2-2-2000000002222-2-22-22-200000000000000
χ202222-2-2002222-2-2-2-2000000002222-2-2-22-2200000000000000
χ212222-2-2002222-2-2-2-200000000-2-2-2-2220000002-22-200000000
χ222222-2-2002222-2-2-2-200000000-2-2-2-222000000-22-2200000000
χ232-2-222-22i−2i2-2-2222-2-22i2i2i2i−2i−2i−2i−2i-222-22-20000−2i2i000000000000
χ242-2-222-2−2i2i2-2-2222-2-2−2i−2i−2i−2i2i2i2i2i-222-22-200002i−2i000000000000
χ252-2-22-22002-2-22-2-222000000002-2-222-22i−2i−2i2i00000000000000
χ262-2-22-22002-2-22-2-222000000002-2-222-2−2i2i2i−2i00000000000000
χ272-2-22-22002-2-22-2-22200000000-222-2-220000002-2-2200000000
χ282-2-22-22002-2-22-2-22200000000-222-2-22000000-222-200000000
χ2944-4-4000044-4-400000000000044-4-400000000000000000000
χ3044-4-4000044-4-4000000000000-4-44400000000000000000000
χ314-44-400004-44-40000000000004-44-400000000000000000000
χ324-44-400004-44-4000000000000-44-4400000000000000000000
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
χ358888-8-800-1-1-1-111113i3i−3i−3i3i3i−3i−3i000000000000000000000000
χ368888-8-800-1-1-1-11111−3i−3i3i3i−3i−3i3i3i000000000000000000000000
χ3788-8-80000-1-1113i−3i3i−3i3ζ−3ζ3ζ3−3ζ33ζ−3ζ3ζ3−3ζ3000000000000000000000000
χ3888-8-80000-1-1113i−3i3i−3i−3ζ3ζ−3ζ33ζ3−3ζ3ζ−3ζ33ζ3000000000000000000000000
χ3988-8-80000-1-111−3i3i−3i3i3ζ3−3ζ33ζ−3ζ3ζ3−3ζ33ζ−3ζ000000000000000000000000
χ4088-8-80000-1-111−3i3i−3i3i−3ζ33ζ3−3ζ3ζ−3ζ33ζ3−3ζ3ζ000000000000000000000000
χ418-88-80000-11-113i−3i−3i3i3ζ3−3ζ3−3ζ3ζ−3ζ33ζ33ζ−3ζ000000000000000000000000
χ428-88-80000-11-113i−3i−3i3i−3ζ33ζ33ζ−3ζ3ζ3−3ζ3−3ζ3ζ000000000000000000000000
χ438-88-80000-11-11−3i3i3i−3i3ζ−3ζ−3ζ33ζ3−3ζ3ζ3ζ3−3ζ3000000000000000000000000
χ448-88-80000-11-11−3i3i3i−3i−3ζ3ζ3ζ3−3ζ33ζ−3ζ−3ζ33ζ3000000000000000000000000
χ458-8-888-88i−8i-111-1-1-111−i−i−i−iiiii000000000000000000000000
χ468-8-888-8−8i8i-111-1-1-111iiii−i−i−i−i000000000000000000000000
χ478-8-88-8800-111-111-1-133-3-3-3-333000000000000000000000000
χ488-8-88-8800-111-111-1-1-3-33333-3-3000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.