Finite Group Databasebeta

← Group #134783

Character table — Group #134783

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444444444448888888888888888161616163232323232323232
order12222244442222444488882244448888888888448844448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ6111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ9111111111111-1-111-1-1111111-1-111-1-111-1-11111-1-1-1-1i−ii−ii−ii−i
χ10111111111111-1-111-1-1111111-1-111-1-111-1-11111-1-1-1-1−ii−ii−ii−ii
χ11111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111i−ii−i−ii−ii
χ12111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−ii−iii−ii−i
χ13111111111111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111i−i−iii−i−ii
χ14111111111111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111−iii−i−iii−i
χ15111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1i−i−ii−iii−i
χ16111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1−iii−ii−i−ii
χ172222222222-2-222-2-2-2-2222200-2200-2-2-2-2220000000000000000
χ182222222222-2-222-2-2-2-2-2-2-2-200-22002222-2-20000000000000000
χ192222222222-2-2-2-2-2-2222222002-20022-2-2-2-20000000000000000
χ202222222222-2-2-2-2-2-222-2-2-2-2002-200-2-222220000000000000000
χ21222222-2-2-2-22222-2-222000022-2-2-2-200000000002-20000000000
χ22222222-2-2-2-22222-2-2220000-2-2-2-2220000000000-220000000000
χ23222222-2-2-2-222-2-2-2-2-2-200002222-2-20000000000-220000000000
χ24222222-2-2-2-222-2-2-2-2-2-20000-2-2222200000000002-20000000000
χ25222222-2-2-2-2-2-22222-2-20000002-2000000002i2i−2i−2i002i−2i00000000
χ26222222-2-2-2-2-2-22222-2-20000002-200000000−2i−2i2i2i00−2i2i00000000
χ27222222-2-2-2-2-2-2-2-22222000000-22000000002i2i−2i−2i00−2i2i00000000
χ28222222-2-2-2-2-2-2-2-22222000000-2200000000−2i−2i2i2i002i−2i00000000
χ294444-4-444-4-4000000000000000000004i−4i000000000000000000
χ304444-4-444-4-400000000000000000000−4i4i000000000000000000
χ314444-4-4-4-4440000000044-4-40000000000000000000000000000
χ324444-4-4-4-44400000000-4-4440000000000000000000000000000
χ3344-4-44-4000000004i−4i0000000000002i2−2i20022−220000000000000000
χ3444-4-44-4000000004i−4i000000000000−2i22i200−22220000000000000000
χ3544-4-44-400000000−4i4i0000000000002i2−2i200−22220000000000000000
χ3644-4-44-400000000−4i4i000000000000−2i22i20022−220000000000000000
χ3744-4-4-4400004-44-4004-400000000000000000000000000000000
χ3844-4-4-4400004-4-4400-4400000000000000000000000000000000
χ3944-4-4-440000-444-400-4400000000000000000000000000000000
χ4044-4-4-440000-44-44004-400000000000000000000000000000000
χ414-4-4400004-400000000004i−4i2-2002-20000002i−2i2i−2i000000000000
χ424-4-4400004-400000000004i−4i-2200-22000000−2i2i−2i2i000000000000
χ434-4-4400004-40000000000−4i4i2-2002-2000000−2i2i−2i2i000000000000
χ444-4-4400004-40000000000−4i4i-2200-220000002i−2i2i−2i000000000000
χ454-4-440000-44000000004-4002-200-220000002-2-22000000000000
χ464-4-440000-44000000004-400-22002-2000000-222-2000000000000
χ474-4-440000-4400000000-44002-200-22000000-222-2000000000000
χ484-4-440000-4400000000-4400-22002-20000002-2-22000000000000
χ498-88-8008i−8i000000000000000000000000000000000000000000
χ508-88-800−8i8i000000000000000000000000000000000000000000

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