Finite Group Databasebeta

← Group #449749

Character table — Group #449749

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222222244448888888888888888888888161616161616161616161616161616161616
order12222222224444444444442244444444444444444444244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ51111111111111111111111-1-111-1-111-1-111-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ71111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ9111111111111111111-1-1-1-1111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ10111111111111111111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ11111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111
χ13111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ172222222222-2-2-2-2-2-2-2-22222002-200-2-2002-2000000000000002-2000000000000
χ182222222222-2-2-2-2-2-2-2-2222200-2200-2-200-2200000000000000-22000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2-2-2002-20022002-200000000000000-22000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-200-22002200-22000000000000002-2000000000000
χ2122222-22-2-2-222-2-2-22-220000000022000000-2-222-2-2000000000000000000002-2
χ2222222-22-2-2-222-2-2-22-220000000022000000-2-2-2-22200000000000000000000-22
χ2322222-22-2-2-222-2-2-22-2200000000-2-20000002222-2-200000000000000000000-22
χ2422222-22-2-2-222-2-2-22-2200000000-2-200000022-2-222000000000000000000002-2
χ252222-22-22-2-22-22-2-2-222000022000000-2-200002-22-20000000000000000002-200
χ262222-22-22-2-22-22-2-2-222000022000000-2-20000-22-22000000000000000000-2200
χ272222-22-22-2-22-22-2-2-2220000-2-20000002200002-22-2000000000000000000-2200
χ282222-22-22-2-22-22-2-2-2220000-2-2000000220000-22-220000000000000000002-200
χ292222-2-2-2-2222-2-222-2-220000002-2000000-22002-2-2200002-20000000000000000
χ302222-2-2-2-2222-2-222-2-220000002-2000000-2200-222-20000-220000000000000000
χ312222-2-2-2-2222-2-222-2-22000000-220000002-2002-2-220000-220000000000000000
χ322222-2-2-2-2222-2-222-2-22000000-220000002-200-222-200002-20000000000000000
χ332222-2-2-2-222-222-2-222-200000022000000-2-200000022-2-2000000002-200000000
χ342222-2-2-2-222-222-2-222-200000022000000-2-2000000-2-22200000000-2200000000
χ352222-2-2-2-222-222-2-222-2000000-2-20000002200000022-2-200000000-2200000000
χ362222-2-2-2-222-222-2-222-2000000-2-200000022000000-2-222000000002-200000000
χ372-22-222-2-22-2-2-222-22-2200002-20000002-2000000002i−2i2i−2i00000000002i−2i000000
χ382-22-222-2-22-2-2-222-22-2200002-20000002-200000000−2i2i−2i2i0000000000−2i2i000000
χ392-22-222-2-22-2-2-222-22-220000-22000000-22000000002i−2i2i−2i0000000000−2i2i000000
χ402-22-222-2-22-2-2-222-22-220000-22000000-2200000000−2i2i−2i2i00000000002i−2i000000
χ412-22-2-222-2-222-2-22-222-22i2i−2i−2i00002i−2i2i−2i00002i−2i000000000000002-20000000000
χ422-22-2-222-2-222-2-22-222-22i2i−2i−2i0000−2i2i2i−2i0000−2i2i00000000000000-220000000000
χ432-22-2-222-2-222-2-22-222-2−2i−2i2i2i00002i−2i−2i2i00002i−2i00000000000000-220000000000
χ442-22-2-222-2-222-2-22-222-2−2i−2i2i2i0000−2i2i−2i2i0000−2i2i000000000000002-20000000000
χ452-22-2-222-2-22-222-22-2-222i2i−2i−2i2-20000−2i2i-22000000000000002i−2i00000000000000
χ462-22-2-222-2-22-222-22-2-222i2i−2i−2i-220000−2i2i2-200000000000000−2i2i00000000000000
χ472-22-2-222-2-22-222-22-2-22−2i−2i2i2i2-200002i−2i-2200000000000000−2i2i00000000000000
χ482-22-2-222-2-22-222-22-2-22−2i−2i2i2i-2200002i−2i2-2000000000000002i−2i00000000000000
χ492-22-2-2-2222-22-22-222-2-2000000002i−2i000000−2i2i00002i−2i−2i2i0000000000002-20000
χ502-22-2-2-2222-22-22-222-2-2000000002i−2i000000−2i2i0000−2i2i2i−2i000000000000-220000
χ512-22-2-2-2222-22-22-222-2-200000000−2i2i0000002i−2i00002i−2i−2i2i000000000000-220000
χ522-22-2-2-2222-22-22-222-2-200000000−2i2i0000002i−2i0000−2i2i2i−2i0000000000002-20000
χ5344444-44-4-4-4-4-4444-44-400000000000000000000000000000000000000000000
χ544444-44-44-4-4-44-4444-4-400000000000000000000000000000000000000000000
χ554-44-444-4-44-444-4-44-44-400000000000000000000000000000000000000000000
χ564-44-44-4-44-444444-4-4-4-400000000000000000000000000000000000000000000
χ574-44-44-4-44-44-4-4-4-4444400000000000000000000000000000000000000000000
χ584-44-4-4-4444-4-44-44-4-44400000000000000000000000000000000000000000000
χ5988-8-8000000000000004-44-40000000000000000000000000000000000000000
χ6088-8-800000000000000-44-440000000000000000000000000000000000000000
χ618-8-88000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ628-8-8800000000000000−4i4i4i−4i0000000000000000000000000000000000000000

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