Finite Group Databasebeta

← Group #175539

Character table — Group #175539

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422244422224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-11-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ71111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ81111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9111111111-1-1-1-111111-111-1-1-1111-11-1-1-11-111-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-111-1-1-111-111-1-1-1-11-1-11111-1-1-1-111-1-111
χ11111111111-1-1-1-111111-111-1-1-1-1-11-11-1111-111-1-1-1-111-1-111-1-111
χ12111111111-1-1-1-111111-111-1-1-1-1-1-111-111-11-1-111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-111111-1-11-1-11-1-1-111-1-111-1-11111-1-1
χ14111111111-1-1-1-111111-1-1-1-11111-11-11-1-1-1111-1-1-1-11111-1-1-1-111
χ15111111111-1-1-1-111111-1-1-1-111-1-11-1-11111-1-1-11111-1-111-1-1-1-111
χ16111111111-1-1-1-111111-1-1-1-111-1-1-11-1111-1111-1-111-1-1-1-11111-1-1
χ172222222222222-2-2-2-22-200-20000220000-2-20000000000000000
χ182222222222222-2-2-2-22-200-20000-2-20000220000000000000000
χ19222222222-2-2-2-2-2-2-2-22200200002-20000-220000000000000000
χ20222222222-2-2-2-2-2-2-2-2220020000-2200002-20000000000000000
χ2122222222-222-2-222-2-2-2200-20000000000002-22-2000000000000
χ2222222222-222-2-222-2-2-2200-2000000000000-22-22000000000000
χ2322222222-222-2-2-2-222-2-2222-2-20000-2200000000000000000000
χ2422222222-222-2-2-2-222-2-2-2-222200002-200000000000000000000
χ2522222222-2-2-22222-2-2-2-20020000000000002-2-22000000000000
χ2622222222-2-2-22222-2-2-2-2002000000000000-222-2000000000000
χ2722222222-2-2-222-2-222-2222-2220000-2-200000000000000000000
χ2822222222-2-2-222-2-222-22-2-2-2-2-200002200000000000000000000
χ294444-4-4-4-4400000000-40000000000000000000022−220000000000
χ304444-4-4-4-4400000000-400000000000000000000−22220000000000
χ314444-4-4-4-4-400000000400000000000000000000002i2−2i200000000
χ324444-4-4-4-4-40000000040000000000000000000000−2i22i200000000
χ3344-4-444-4-404-400000000000000000000000000000002i−2i2i−2i0000
χ3444-4-444-4-404-40000000000000000000000000000000−2i2i−2i2i0000
χ3544-4-444-4-40-4400000000000000000000000000000002i−2i−2i2i0000
χ3644-4-444-4-40-440000000000000000000000000000000−2i2i2i−2i0000
χ3744-4-4-4-44400000004-4000004-400000000000000000000000000
χ3844-4-4-4-44400000004-400000-4400000000000000000000000000
χ3944-4-4-4-4440000000-44004-400000000000000000000000000000
χ4044-4-4-4-4440000000-4400-4400000000000000000000000000000
χ414-44-4-444-40004-4000000000002-200002-2000000000000000000
χ424-44-4-444-40004-400000000000-220000-22000000000000000000
χ434-44-4-444-4000-44000000000002-20000-22000000000000000000
χ444-44-4-444-4000-4400000000000-2200002-2000000000000000000
χ454-4-44-44-44000004-4000000000000000000000000000000022−2200
χ464-4-44-44-44000004-40000000000000000000000000000000−222200
χ474-4-44-44-4400000-4400000000000000000000000000000000022−22
χ484-4-44-44-4400000-44000000000000000000000000000000000−2222
χ498-88-88-8-88000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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