Finite Group Databasebeta

← Group #348207

Character table — Group #348207

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111
χ9111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-11111-1-1-111-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ12111111111111-1-111-1-11111-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ13111111111111-1-111-1-111-1-111-111-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1
χ14111111111111-1-111-1-111-1-111-111-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111
χ15111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-111
χ16111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-20000222-2000000000022-2-200-2-20000000000000000
χ1822222222222222-2-2-2-2-2-200002-2-2-20000000000-2-22200220000000000000000
χ19222222222222-2-2-2-222-2-20000-22220000000000-2-2-2-200220000000000000000
χ20222222222222-2-2-2-222-2-20000-2-2-220000000000222200-2-20000000000000000
χ2122222222-2-2-2-2222-2222-22200-200-222-2-20000000000-2-2000000000000000000
χ2222222222-2-2-2-2222-2222-2-2-200-200-2-2-222000000000022000000000000000000
χ2322222222-2-2-2-222-22-2-2-220022-20020000-2-222-2-2000000000000000000000000
χ2422222222-2-2-2-222-22-2-2-2200-2-2-2002000022-2-222000000000000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-222002002-2-2220000000000-2-2000000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-2-2-200200222-2-2000000000022000000000000000000
χ2722222222-2-2-2-2-2-2-2222-220022200-20000-2-2-2-222000000000000000000000000
χ2822222222-2-2-2-2-2-2-2222-2200-2-2200-200002222-2-2000000000000000000000000
χ292-22-22-2-2222-2-2002-200-22002-202i−2i02i−2i2i−2i2-20000002i−2i00000000000000000000
χ302-22-22-2-2222-2-2002-200-22002-20−2i2i0−2i2i−2i2i2-2000000−2i2i00000000000000000000
χ312-22-22-2-2222-2-2002-200-2200-2202i−2i0−2i2i−2i2i-220000002i−2i00000000000000000000
χ322-22-22-2-2222-2-2002-200-2200-220−2i2i02i−2i2i−2i-22000000−2i2i00000000000000000000
χ332-22-22-2-2222-2-200-22002-22-20002i−2i00000002i−2i2i−2i00−2i2i2-2000000000000000000
χ342-22-22-2-2222-2-200-22002-22-2000−2i2i0000000−2i2i−2i2i002i−2i2-2000000000000000000
χ352-22-22-2-2222-2-200-22002-2-220002i−2i0000000−2i2i−2i2i00−2i2i-22000000000000000000
χ362-22-22-2-2222-2-200-22002-2-22000−2i2i00000002i−2i2i−2i002i−2i-22000000000000000000
χ372-22-22-2-22-2-222002200-2-2000000002i−2i−2i2i002i−2i−2i2i2-200002-20000000000000000
χ382-22-22-2-22-2-222002200-2-2000000002i−2i−2i2i00−2i2i2i−2i-220000-220000000000000000
χ392-22-22-2-22-2-222002200-2-200000000−2i2i2i−2i002i−2i−2i2i-220000-220000000000000000
χ402-22-22-2-22-2-222002200-2-200000000−2i2i2i−2i00−2i2i2i−2i2-200002-20000000000000000
χ412-22-22-2-22-2-22200-2-200222-22-200000000-2200002-200-22-220000000000000000
χ422-22-22-2-22-2-22200-2-200222-2-22000000002-20000-2200-222-20000000000000000
χ432-22-22-2-22-2-22200-2-20022-222-200000000-220000-22002-22-20000000000000000
χ442-22-22-2-22-2-22200-2-20022-22-22000000002-200002-2002-2-220000000000000000
χ45444-4-44-4-4000000004-4000000000000000000000000000000002-22-200000000
χ46444-4-44-4-4000000004-400000000000000000000000000000000-22-2200000000
χ47444-4-44-4-400000000-44000000000000000000000000000000002-2-2200000000
χ48444-4-44-4-400000000-4400000000000000000000000000000000-222-200000000
χ4944-44-4-4-444-44-40000000000000000000000000000000000000000000000002i2−2i2
χ5044-44-4-4-444-44-4000000000000000000000000000000000000000000000000−2i22i2
χ5144-44-4-4-44-44-4400000000000000000000000000000000000000000000002i2−2i200
χ5244-44-4-4-44-44-440000000000000000000000000000000000000000000000−2i22i200
χ534-4-4444-4-400004-4000000000000000000000000000000002i−2i2i−2i000000000000
χ544-4-4444-4-400004-400000000000000000000000000000000−2i2i−2i2i000000000000
χ554-4-4444-4-40000-44000000000000000000000000000000002i−2i−2i2i000000000000
χ564-4-4444-4-40000-4400000000000000000000000000000000−2i2i2i−2i000000000000
χ574-4-4-4-44444-4-4400000000000000000000000000000000000000000022−22000000
χ584-4-4-4-44444-4-44000000000000000000000000000000000000000000−2222000000
χ594-4-4-4-4444-444-40000000000000000000000000000000000000000000022−220000
χ604-4-4-4-4444-444-400000000000000000000000000000000000000000000−22220000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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