Finite Group Databasebeta

← Group #256176

Character table — Group #256176

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244442244444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-11-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111
χ51111111111111111111111-1-11-1-111111-1-1-1-111111111-1-1-11-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1
χ71111111111111111111111-1-11-1-11-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1
χ101111111111111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111
χ111111111111111111-1-11-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-111
χ121111111111111111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-111-1-1-1-11111-1-1
χ131111111111111111-1-11-1-11-1-1-111-111-1-111111111-1-1-1-1-1-11-1-11-1-111-1-11111-1-1
χ141111111111111111-1-11-1-11-1-1-111-111-1-11111-1-1-1-11111-1-11-1-1111-1-111-1-1-1-111
χ151111111111111111-1-11-1-11-1-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ161111111111111111-1-11-1-11-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1
χ172222222222-2-222-2-222-2-2-2-2222-2-2-200000000000000000020-20000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2222-2000000000000000000-2020000000000000
χ192222222222-2-222-2-2-2-2-222-222-2222000000000000000000-20-20000000000000
χ202222222222-2-222-2-2-2-2-222-2-2-2-2-2-220000000000000000002020000000000000
χ2122222222-2-222-2-22222-222-200-200-22222000000000000000-20-2000000000000
χ2222222222-2-222-2-22222-222-200-200-2-2-2-2-2000000000000000202000000000000
χ2322222222-2-222-2-222-2-2-2-2-2-200200222-2-200000000000000020-2000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-2002002-2-222000000000000000-202000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2200-2002000022-2-2000000002-20000000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2200-20020000-2-22200000000-220000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200200-2000022-2-200000000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200200-20000-2-222000000002-20000000000000000
χ292-22-22-22-2002200-2-22-202-200000002-22-20000i2i2−i2−i2i2i2−i2−i200000000000000i2−i2i2−i2
χ302-22-22-22-2002200-2-22-202-200000002-22-20000−i2−i2i2i2−i2−i2i2i200000000000000−i2i2−i2i2
χ312-22-22-22-2002200-2-22-202-20000000-22-220000i2i2−i2−i2i2i2−i2−i200000000000000−i2i2−i2i2
χ322-22-22-22-2002200-2-22-202-20000000-22-220000−i2−i2i2i2−i2−i2i2i200000000000000i2−i2i2−i2
χ332-22-22-22-2002200-2-2-220-2200000002-2-220000i2i2−i2−i2−i2−i2i2i200000000000000i2−i2−i2i2
χ342-22-22-22-2002200-2-2-220-2200000002-2-220000−i2−i2i2i2i2i2−i2−i200000000000000−i2i2i2−i2
χ352-22-22-22-2002200-2-2-220-220000000-222-20000i2i2−i2−i2−i2−i2i2i200000000000000−i2i2i2−i2
χ362-22-22-22-2002200-2-2-220-220000000-222-20000−i2−i2i2i2i2i2−i2−i200000000000000i2−i2−i2i2
χ372-2-22-222-22-22-22-22-200200-200000000002-22-200002i−2i2i−2i0000002i−2i0000000000
χ382-2-22-222-22-22-22-22-200200-200000000002-22-20000−2i2i−2i2i000000−2i2i0000000000
χ392-2-22-222-22-22-22-22-200200-20000000000-22-2200002i−2i2i−2i000000−2i2i0000000000
χ402-2-22-222-22-22-22-22-200200-20000000000-22-220000−2i2i−2i2i0000002i−2i0000000000
χ412-2-22-222-2-22-22-22-2200200-200000000002-2-222i−2i2i−2i0000000000002i−2i00000000
χ422-2-22-222-2-22-22-22-2200200-200000000002-2-22−2i2i−2i2i000000000000−2i2i00000000
χ432-2-22-222-2-22-22-22-2200200-20000000000-222-22i−2i2i−2i000000000000−2i2i00000000
χ442-2-22-222-2-22-22-22-2200200-20000000000-222-2−2i2i−2i2i0000000000002i−2i00000000
χ454444-4-4-4-44-400-44000000000000000000000000000000000000000022−22000000
χ464444-4-4-4-44-400-440000000000000000000000000000000000000000−2222000000
χ474444-4-4-4-4-44004-400000000000000000000000000000000000000000022−220000
χ484444-4-4-4-4-44004-4000000000000000000000000000000000000000000−22220000
χ4944-4-4-4-444004-400-4400000000000000000000000022−22−2222000000000000000000
χ5044-4-4-4-444004-400-44000000000000000000000000−222222−22000000000000000000
χ5144-4-4-4-44400-44004-40000000000000000000022−22−22220000000000000000000000
χ5244-4-4-4-44400-44004-400000000000000000000−222222−220000000000000000000000
χ534-44-44-44-400-4-400444-40-4400000000000000000000000000000000000000000
χ544-44-44-44-400-4-40044-4404-400000000000000000000000000000000000000000
χ554-4-444-4-444400-4-4000000000004i−4i00000000000000000000000000000000000
χ564-4-444-4-444400-4-400000000000−4i4i00000000000000000000000000000000000
χ574-4-444-4-44-4-40044000000004-400000000000000000000000000000000000000
χ584-4-444-4-44-4-4004400000000-4400000000000000000000000000000000000000
χ594-4-44-444-44-4-444-4-4400-40040000000000000000000000000000000000000000
χ604-4-44-444-4-444-4-444-400-40040000000000000000000000000000000000000000
χ6188-8-888-8-8000000000000000000000000000000000000000000000000000000
χ628-88-8-88-88000000000000000000000000000000000000000000000000000000

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