Finite Group Databasebeta

← Group #283807

Character table — Group #283807

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444424444444888888244444888888888888848
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-11-11-1-111-1-1-1-1-1-1111-1-1-1-1
χ31111111111111111111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-11-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1
χ51111111111111111111-1-1-1-1-1-111111-11-111-1-11111-1-1-111-1-1-1-1
χ61111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1-111
χ9111111111111111-1-1-1-11111-1-111111-11-1-1-11111-1-1-1-1-1-1-111-11
χ10111111111111111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-11-1
χ11111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-11
χ12111111111111111-1-1-1-11111-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-111111-1
χ13111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111-1-1-1-11-1
χ14111111111111111-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-111-1-11-1-111-11
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1-111-1-111-1-1111111-1
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-1-11
χ17222222222-2-22-2-2-222-2-222-2-222000000000000000000-2000000
χ18222222222-2-22-2-2-222-2-2-2-222-2-20000000000000000002000000
χ19222222222-2-22-2-2-2-2-22222-2-2-2-20000000000000000002000000
χ20222222222-2-22-2-2-2-2-222-2-22222000000000000000000-2000000
χ21222222-2-2-2-2-2-2-22200000000002i2i−2i−2i00002-200002i−2i000000000
χ22222222-2-2-2-2-2-2-22200000000002i2i−2i−2i0000-220000−2i2i000000000
χ23222222-2-2-2-2-2-2-2220000000000−2i−2i2i2i00002-20000−2i2i000000000
χ24222222-2-2-2-2-2-2-2220000000000−2i−2i2i2i0000-2200002i−2i000000000
χ252222-2-22-2-2222-22-200000000002-22-220-2000002-200000000000
χ262222-2-22-2-2222-22-200000000002-22-2-20200000-2200000000000
χ272222-2-22-2-2222-22-20000000000-22-2220-200000-2200000000000
χ282222-2-22-2-2222-22-20000000000-22-22-202000002-200000000000
χ292222-2-2-22222-2-2-222-22-20000000000020-2002-20000000000000
χ302222-2-2-22222-2-2-222-22-200000000000-20200-220000000000000
χ312222-2-2-22222-2-2-22-22-220000000000020-200-220000000000000
χ322222-2-2-22222-2-2-22-22-2200000000000-202002-20000000000000
χ332222-2-2-222-2-2-222-22-2-220000002i−2i−2i2i0000000000000002i−2i0000
χ342222-2-2-222-2-2-222-22-2-22000000−2i2i2i−2i000000000000000−2i2i0000
χ352222-2-2-222-2-2-222-2-222-20000002i−2i−2i2i000000000000000−2i2i0000
χ362222-2-2-222-2-2-222-2-222-2000000−2i2i2i−2i0000000000000002i−2i0000
χ37444444-4-4-444-44-4-400000000000000000000000000000000000
χ384444-4-44-4-4-4-444-4400000000000000000000000000000000000
χ3944-4-44-444-400-4000000000000000000000000000000000022−2200
χ4044-4-44-444-400-40000000000000000000000000000000000−222200
χ4144-4-44-4-4-44004000000000004i−4i0000000000000000000000000
χ4244-4-44-4-4-4400400000000000−4i4i0000000000000000000000000
χ4344-4-4-444-4400-400000004-400000000000000000000000000000
χ4444-4-4-444-4400-40000000-4400000000000000000000000000000
χ4544-4-4-44-44-4004000000000000000000000000000002i2−2i20000000
χ4644-4-4-44-44-400400000000000000000000000000000−2i22i20000000
χ478-88-8000008-8000000000000000000000000000000000000000
χ488-88-800000-88000000000000000000000000000000000000000
χ498-8-88000000000000000004-4000000000000000000000000000
χ508-8-8800000000000000000-44000000000000000000000000000

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