Finite Group Databasebeta

← Group #152252

Character table — Group #152252

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224444444444888888888888881616161616163232323232323232
order12442424444488882244444488888844888844448888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111-1-1-11111-1111111-1-1-1-1-1-1ii−i−iii−i−i
χ61111111111111111-1-1-11111-1111111-1-1-1-1-1-1−i−iii−i−iii
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1ii−i−i−i−iii
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−iiiii−i−i
χ9111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11-11-11-1
χ10111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-11-11
χ11111111111111-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-11-11-1-11-11
χ12111111111111-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-1-11-111-11-1
χ13111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111i−i−iii−i−ii
χ14111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111−iii−i−iii−i
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111i−i−ii−iii−i
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111−iii−ii−i−ii
χ172222222-2-2-2-2222222-2-200002-2-2000000002-200000000
χ182222222-2-2-2-222222-2220000-2-2-200000000-2200000000
χ192222222-2-2-2-22-2-2-2-22-2-2000022200000000-2200000000
χ202222222-2-2-2-22-2-2-2-2-2220000-222000000002-200000000
χ2122-2-22-2-222-2-22000022-22i2i−2i−2i-2000000002i−2i0000000000
χ2222-2-22-2-222-2-22000022-2−2i−2i2i2i-200000000−2i2i0000000000
χ2322-2-22-2-222-2-220000-2-222i2i−2i−2i200000000−2i2i0000000000
χ2422-2-22-2-222-2-220000-2-22−2i−2i2i2i2000000002i−2i0000000000
χ2522-2-22-2-2-2-222200002-220000-20022-2-22-2000000000000
χ2622-2-22-2-2-2-222200002-220000-200-2-222-22000000000000
χ2722-2-22-2-2-2-22220000-22-2000020022-2-2-22000000000000
χ2822-2-22-2-2-2-22220000-22-20000200-2-2222-2000000000000
χ29444444-40000-444-4-40000000000000000000000000000
χ30444444-40000-4-4-4440000000000000000000000000000
χ314444-4-4000000004i−4i0002-22-20002i−2i2i−2i00000000000000
χ324444-4-4000000004i−4i000-22-22000−2i2i−2i2i00000000000000
χ334444-4-400000000−4i4i0002-22-2000−2i2i−2i2i00000000000000
χ344444-4-400000000−4i4i000-22-220002i−2i2i−2i00000000000000
χ3544-4-44-440000-40000000000004i−4i000000000000000000
χ3644-4-44-440000-4000000000000−4i4i000000000000000000
χ3744-4-4-440000004-4000002i−2i−2i2i0002i−2i−2i2i00000000000000
χ3844-4-4-440000004-400000−2i2i2i−2i000−2i2i2i−2i00000000000000
χ3944-4-4-44000000-44000002i−2i−2i2i000−2i2i2i−2i00000000000000
χ4044-4-4-44000000-4400000−2i2i2i−2i0002i−2i−2i2i00000000000000
χ418-88i−8i0004-44i−4i000000000000000000000000000000000
χ428-88i−8i000-44−4i4i000000000000000000000000000000000
χ438-8−8i8i0004-4−4i4i000000000000000000000000000000000
χ448-8−8i8i000-444i−4i000000000000000000000000000000000

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