Finite Group Databasebeta

← Group #488199

Character table — Group #488199

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244222242244444444444444442244444444444888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1111-1-111-1-1-1-11111-111-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111-1-1111-1-111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ51111111111111-1-11111-1-111-1-1-1-1-1-11111-111-1-1111111-1-1-1-1-1-1
χ61111111111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111-1-11-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-1
χ81111111111111-1-11-1-11-1-1-1-1-1-1111111-1-11-1-11-1-1-11111-1-1-1-111
χ9111111-1-1-1-111-111-111-1-1-1-1-11111-1-1111-111-1-1-11-111-1-111-1-11-1
χ10111111-1-1-1-111-111-111-1-1-1-1-11111-1-111-111-11-1-11-1-1-111-1-111-11
χ11111111-1-1-1-111-111-1-1-1-1-1-11111-1-111111-1-11-11-1-11-1-111-1-1111-1
χ12111111-1-1-1-111-111-1-1-1-1-1-11111-1-11111-11-1-111-1-1111-1-111-1-1-11
χ13111111-1-1-1-111-1-1-1-111-111-1-1-1-1-1-111111-1-11-1111-111-1-1-1-111-11
χ14111111-1-1-1-111-1-1-1-111-111-1-1-1-1-1-11111-11-1-11111-1-1-11111-1-11-1
χ15111111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1111-111-1-11-11-1-11111-1-1-11
χ16111111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-111-111-11-11-1111-1-1-1-1111-1
χ172222222222-2-2200-200-20000002222-2200-200-20000000000000
χ182222222222-2-2200-200-2000000-2-2-2-2-220020020000000000000
χ1922222222-2-222200-22220022000000-2-20000000-2-20000000000
χ2022222222-2-222200-2-2-2200-2-2000000-2-20000000220000000000
χ2122222222-2-2-2-2222200-22200-2-200002-2000000-2000000000000
χ2222222222-2-2-2-22-2-2200-2-2-2002200002-20000002000000000000
χ23222222-2-22222-200222-200-2-2000000-2-20000000-220000000000
χ24222222-2-22222-2002-2-2-20022000000-2-200000002-20000000000
χ25222222-2-222-2-2-222-2002-2-200-2-200002-20000002000000000000
χ26222222-2-222-2-2-2-2-2-200222002200002-2000000-2000000000000
χ27222222-2-2-2-2-2-2-200200200000022-2-2-2200-20020000000000000
χ28222222-2-2-2-2-2-2-2002002000000-2-222-2200200-20000000000000
χ294444-4-4440000-40000000000000000002-20-2200000000000000
χ304444-4-4440000-4000000000000000000-2202-200000000000000
χ314444-4-4-4-400004000000000000000000220-2-200000000000000
χ324444-4-4-4-400004000000000000000000-2-202200000000000000
χ3344-4-4004i−4i000002-202-202i−2i2i−2i002-22i−2i000000000000000000000
χ3444-4-4004i−4i000002-20-2202i−2i−2i2i00-22−2i2i000000000000000000000
χ3544-4-4004i−4i00000-2202-20−2i2i2i−2i00-22−2i2i000000000000000000000
χ3644-4-4004i−4i00000-220-220−2i2i−2i2i002-22i−2i000000000000000000000
χ3744-4-400−4i4i000002-202-20−2i2i−2i2i002-2−2i2i000000000000000000000
χ3844-4-400−4i4i000002-20-220−2i2i2i−2i00-222i−2i000000000000000000000
χ3944-4-400−4i4i00000-2202-202i−2i−2i2i00-222i−2i000000000000000000000
χ4044-4-400−4i4i00000-220-2202i−2i2i−2i002-2−2i2i000000000000000000000
χ414-44-44-400004-400000000000000000000000000000000002i2−2i200
χ424-44-44-400004-40000000000000000000000000000000000−2i22i200
χ434-44-44-40000-44000000000000000000000000000000002i2−2i20000
χ444-44-44-40000-4400000000000000000000000000000000−2i22i20000
χ454-44-4-44004-40000000000000000000000000000002i−2i2i−2i000000
χ464-44-4-44004-4000000000000000000000000000000−2i2i−2i2i000000
χ474-44-4-4400-440000000000000000000000000000002i−2i−2i2i000000
χ484-44-4-4400-44000000000000000000000000000000−2i2i2i−2i000000
χ498-8-8800000000000000000004-40000000000000000000000000
χ508-8-880000000000000000000-440000000000000000000000000

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