Finite Group Databasebeta

← Group #11771511

Character table — Group #11771511

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size112444888888888888888899183636363636363672727272727272727272
order12244436661212121212121212121212124442448888881616161616161616
χ1111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111111111-1-1-1-1-1-1ii−i−ii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3
χ61111111111111111111111-1-1-1-1-1-1ii−i−ii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3
χ71111111111111111111111-1-1-1-1-1-1−i−iii−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ
χ81111111111111111111111-1-1-1-1-1-1−i−iii−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ
χ91111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-11-11-1
χ101111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-11-11-11
χ111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111i−ii−i−ii−ii
χ121111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−ii−iii−ii−i
χ131111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−iiζ−ζ−ζζζ3−ζ3−ζ3ζ3
χ141111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−ii−ζζζ−ζ−ζ3ζ3ζ3−ζ3
χ151111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiii−iζ3−ζ3−ζ3ζ3ζ−ζ−ζζ
χ161111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiii−i−ζ3ζ3ζ3−ζ3−ζζζ−ζ
χ17222-2002222-2-2-2-200000000222-2002-22-20000000000
χ18222-2002222-2-2-2-200000000222-200-22-220000000000
χ19222-2002222-2-2-2-200000000-2-2-22002i−2i−2i2i0000000000
χ20222-2002222-2-2-2-200000000-2-2-2200−2i2i2i−2i0000000000
χ2144-400044-4-400000000000044-400000000000000000
χ2244-400044-4-4000000000000-4-4400000000000000000
χ234-4002-24-40000002222-2-2-2-24i−4i002i−2i00000000000000
χ244-4002-24-40000002222-2-2-2-2−4i4i00−2i2i00000000000000
χ254-400-224-4000000-2-2-2-222224i−4i00−2i2i00000000000000
χ264-400-224-4000000-2-2-2-22222−4i4i002i−2i00000000000000
χ27888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ288888-8-8-1-1-1-1-1-1-1-11111111100000000000000000000
χ29888-800-1-1-1-1111133-3-333-3-300000000000000000000
χ30888-800-1-1-1-11111-3-333-3-33300000000000000000000
χ3188-8000-1-11133-3-33i−3i3i−3i3i−3i3i−3i00000000000000000000
χ3288-8000-1-11133-3-3−3i3i−3i3i−3i3i−3i3i00000000000000000000
χ3388-8000-1-111-3-3333i−3i−3i3i3i−3i−3i3i00000000000000000000
χ3488-8000-1-111-3-333−3i3i3i−3i−3i3i3i−3i00000000000000000000
χ358-8004-4-113-33i−3i3i−3i11−2+3i−2−3i-1-12−3i2+3i00000000000000000000
χ368-8004-4-113-3−3i3i−3i3i11−2−3i−2+3i-1-12+3i2−3i00000000000000000000
χ378-8004-4-11-333i−3i−3i3i−2−3i−2+3i112+3i2−3i-1-100000000000000000000
χ388-8004-4-11-33−3i3i3i−3i−2+3i−2−3i112−3i2+3i-1-100000000000000000000
χ398-800-44-113-33i−3i3i−3i-1-12−3i2+3i11−2+3i−2−3i00000000000000000000
χ408-800-44-113-3−3i3i−3i3i-1-12+3i2−3i11−2−3i−2+3i00000000000000000000
χ418-800-44-11-333i−3i−3i3i2+3i2−3i-1-1−2−3i−2+3i1100000000000000000000
χ428-800-44-11-33−3i3i3i−3i2−3i2+3i-1-1−2+3i−2−3i1100000000000000000000

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