Finite Group Databasebeta

← Group #152912

Character table — Group #152912

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12442424444488224488822448888888888444488
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ5111111111111-1-11111-1-1-11-11-1-1-11111-1-1-1-111-1-11-1
χ6111111111111-1-11111-1-1-11-11-1-1-1-1-1-1-11111-1-1111-1
χ7111111111111-1-11111-1-1-1-11-11-1-11111-1-1-1-1-1-111-11
χ8111111111111-1-11111-1-1-1-11-11-1-1-1-1-1-1111111-1-1-11
χ91111111-1-1-1-11111-11-1-1-1111111-1ii−i−iii−i−ii−ii−i-1-1
χ101111111-1-1-1-11111-11-1-1-1111111-1−i−iii−i−iii−ii−ii-1-1
χ111111111-1-1-1-11111-11-1-1-11-1-1-1-11-1ii−i−iii−i−i−ii−ii11
χ121111111-1-1-1-11111-11-1-1-11-1-1-1-11-1−i−iii−i−iiii−ii−i11
χ131111111-1-1-1-11-1-11-11-111-11-11-1-11ii−i−i−i−iiii−i−ii-11
χ141111111-1-1-1-11-1-11-11-111-11-11-1-11−i−iiiii−i−i−iii−i-11
χ151111111-1-1-1-11-1-11-11-111-1-11-11-11ii−i−i−i−iii−iii−i1-1
χ161111111-1-1-1-11-1-11-11-111-1-11-11-11−i−iiiii−i−ii−i−ii1-1
χ1722222222222222-2-2-2-22220000-2-200000000000000
χ18222222222222-2-2-2-2-2-2-2-2-200002200000000000000
χ192222222-2-2-2-2222-22-22-2-220000-2200000000000000
χ202222222-2-2-2-22-2-2-22-2222-200002-200000000000000
χ2122-2-22-2-222-2-220022-2-200000000000002-22-2000000
χ2222-2-22-2-222-2-220022-2-20000000000000-22-22000000
χ2322-2-22-2-222-2-2200-2-2220000000002i−2i2i−2i0000000000
χ2422-2-22-2-222-2-2200-2-222000000000−2i2i−2i2i0000000000
χ2522-2-22-2-2-2-2222002-2-2200000000000002i−2i−2i2i000000
χ2622-2-22-2-2-2-2222002-2-220000000000000−2i2i2i−2i000000
χ2722-2-22-2-2-2-222200-222-20000000002-2-220000000000
χ2822-2-22-2-2-2-222200-222-2000000000-222-20000000000
χ29444444-40000-444000000-400000000000000000000
χ30444444-40000-4-4-4000000400000000000000000000
χ3144-4-44-440000-40000004i−4i000000000000000000000
χ3244-4-44-440000-4000000−4i4i000000000000000000000
χ3344-4-4-440000004-4000000022-2-20000000000000000
χ3444-4-4-440000004-40000000-2-2220000000000000000
χ3544-4-4-44000000-4400000002-2-220000000000000000
χ3644-4-4-44000000-440000000-222-20000000000000000
χ378888-8-800000000000000000000000000000000000
χ388-88i−8i0004-44i−4i000000000000000000000000000000
χ398-88i−8i000-44−4i4i000000000000000000000000000000
χ408-8−8i8i0004-4−4i4i000000000000000000000000000000
χ418-8−8i8i000-444i−4i000000000000000000000000000000

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