Finite Group Databasebeta

← Group #145860

Character table — Group #145860

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444444444444444444441616161616161616161616161616161632323232
order1222224444888888884444888888888888888888884444888816161616161616164444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9222222222222-2-222-2-2-2-2-2-222-2-20000000000000000002200-2-2000000000000
χ10222222222222-2-222-2-2-2-2-2-222-2-2000000000000000000-2-20022000000000000
χ112222222222-2-222-2-222-2-2-2-2-2-22200000000000000002200-2-200000000000000
χ122222222222-2-222-2-222-2-2-2-2-2-2220000000000000000-2-2002200000000000000
χ132222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000002-200
χ142222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000-2200
χ152222-2-22-22-200-2-200-2-200000022i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i22-2000000i2i2−i2−i200000000
χ162222-2-22-22-200-2-200-2-200000022i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2-22000000−i2−i2i2i200000000
χ172222-2-22-22-200-2-200-2-200000022−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i22-2000000−i2−i2i2i200000000
χ182222-2-22-22-200-2-200-2-200000022−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2-22000000i2i2−i2−i200000000
χ192222-2-2-22-22-2-200-2-20000002200i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2002-200000000i2i2−i2−i20000
χ202222-2-2-22-22-2-200-2-20000002200i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200-2200000000−i2−i2i2i20000
χ212222-2-2-22-22-2-200-2-20000002200−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2002-200000000−i2−i2i2i20000
χ222222-2-2-22-22-2-200-2-20000002200−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200-2200000000i2i2−i2−i20000
χ2322-2-22-222-2-22222-2-2-2-2-2-2222-22-222-2-222-2-222-2-222-2-200000000000000000000
χ2422-2-22-222-2-22222-2-2-2-2-2-2222-22-2-2-222-2-222-2-222-2-22200000000000000000000
χ2522-2-22-222-2-222-2-2-2-22222-2-22-2-2200000000000000000000000000002-22-20000
χ2622-2-22-222-2-222-2-2-2-22222-2-22-2-220000000000000000000000000000-22-220000
χ2722-2-22-222-2-2-2-22222-2-222-2-2-222-20000000000000000000000002-22-200000000
χ2822-2-22-222-2-2-2-22222-2-222-2-2-222-2000000000000000000000000-22-2200000000
χ2922-2-22-222-2-2-2-2-2-22222-2-222-22-2200000000000000000000000000000000002i−2i
χ3022-2-22-222-2-2-2-2-2-22222-2-222-22-220000000000000000000000000000000000−2i2i
χ3122-2-2-222-2-2200-2-200220000002-2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200002-200i2−i2−i2i200000000
χ3222-2-2-222-2-2200-2-200220000002-2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000-2200−i2i2i2−i200000000
χ3322-2-2-222-2-2200-2-200220000002-2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200002-200−i2i2i2−i200000000
χ3422-2-2-222-2-2200-2-200220000002-2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000-2200i2−i2−i2i200000000
χ3522-2-2-22-222-2-2-200220000002-200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000002-20000i2−i2−i2i20000
χ3622-2-2-22-222-2-2-200220000002-200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000-220000−i2i2i2−i20000
χ3722-2-2-22-222-2-2-200220000002-200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000002-20000−i2i2i2−i20000
χ3822-2-2-22-222-2-2-200220000002-200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000-220000i2−i2−i2i20000
χ39444444-4-4-4-400000000000000002222-2-2-2-2-2-2-2-2222200000000000000000000
χ40444444-4-4-4-40000000000000000-2-2-2-222222222-2-2-2-200000000000000000000
χ414444-4-44-44-400440044000000-4-4000000000000000000000000000000000000
χ424444-4-4-44-44440044000000-4-400000000000000000000000000000000000000
χ4344-4-44-4-4-444000000000000000022-2-2-2-222-2-22222-2-200000000000000000000
χ4444-4-44-4-4-4440000000000000000-2-22222-2-222-2-2-2-22200000000000000000000
χ4544-4-4-444-4-44004400-4-4000000-44000000000000000000000000000000000000
χ4644-4-4-44-444-44400-4-4000000-4400000000000000000000000000000000000000
χ474-44-40000002i2−2i22i2−2i22i2−2i22i2−2i22-22-20000i2−i2i2−i22+i2−2−i22+i2−2−i22−i2−2+i22−i2−2+i2i2−i2i2−i200000000000000000000
χ484-44-40000002i2−2i22i2−2i22i2−2i22i2−2i22-22-20000−i2i2−i2i2−2−i22+i2−2−i22+i2−2+i22−i2−2+i22−i2−i2i2−i2i200000000000000000000
χ494-44-40000002i2−2i2−2i22i22i2−2i2−2i22i2-22-2200002+i2−2−i22+i2−2−i2−i2i2−i2i2i2−i2i2−i2−2+i22−i2−2+i22−i200000000000000000000
χ504-44-40000002i2−2i2−2i22i22i2−2i2−2i22i2-22-220000−2−i22+i2−2−i22+i2i2−i2i2−i2−i2i2−i2i22−i2−2+i22−i2−2+i200000000000000000000
χ514-44-4000000−2i22i22i2−2i2−2i22i22i2−2i2-22-2200002−i2−2+i22−i2−2+i2i2−i2i2−i2−i2i2−i2i2−2−i22+i2−2−i22+i200000000000000000000
χ524-44-4000000−2i22i22i2−2i2−2i22i22i2−2i2-22-220000−2+i22−i2−2+i22−i2−i2i2−i2i2i2−i2i2−i22+i2−2−i22+i2−2−i200000000000000000000
χ534-44-4000000−2i22i2−2i22i2−2i22i2−2i22i22-22-20000i2−i2i2−i2−2+i22−i2−2+i22−i2−2−i22+i2−2−i22+i2i2−i2i2−i200000000000000000000
χ544-44-4000000−2i22i2−2i22i2−2i22i2−2i22i22-22-20000−i2i2−i2i22−i2−2+i22−i2−2+i22+i2−2−i22+i2−2−i2−i2i2−i2i200000000000000000000
χ554-4-440000002i2−2i22i2−2i2−2i22i2−2i22i2-222-20000i2−i2−i2i22+i2−2−i2−2−i22+i22−i2−2+i2−2+i22−i2i2−i2−i2i200000000000000000000
χ564-4-440000002i2−2i22i2−2i2−2i22i2−2i22i2-222-20000−i2i2i2−i2−2−i22+i22+i2−2−i2−2+i22−i22−i2−2+i2−i2i2i2−i200000000000000000000
χ574-4-440000002i2−2i2−2i22i2−2i22i22i2−2i22-2-2200002+i2−2−i2−2−i22+i2−i2i2i2−i2i2−i2−i2i2−2+i22−i22−i2−2+i200000000000000000000
χ584-4-440000002i2−2i2−2i22i2−2i22i22i2−2i22-2-220000−2−i22+i22+i2−2−i2i2−i2−i2i2−i2i2i2−i22−i2−2+i2−2+i22−i200000000000000000000
χ594-4-44000000−2i22i22i2−2i22i2−2i2−2i22i22-2-2200002−i2−2+i2−2+i22−i2i2−i2−i2i2−i2i2i2−i2−2−i22+i22+i2−2−i200000000000000000000
χ604-4-44000000−2i22i22i2−2i22i2−2i2−2i22i22-2-220000−2+i22−i22−i2−2+i2−i2i2i2−i2i2−i2−i2i22+i2−2−i2−2−i22+i200000000000000000000
χ614-4-44000000−2i22i2−2i22i22i2−2i22i2−2i2-222-20000i2−i2−i2i2−2+i22−i22−i2−2+i2−2−i22+i22+i2−2−i2i2−i2−i2i200000000000000000000
χ624-4-44000000−2i22i2−2i22i22i2−2i22i2−2i2-222-20000−i2i2i2−i22−i2−2+i2−2+i22−i22+i2−2−i2−2−i22+i2−i2i2i2−i200000000000000000000

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