Finite Group Databasebeta

← Group #349232

Character table — Group #349232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222244444444444444888888888888888888888816161616161616161616161616161616
order12222222222244442222444444444422224444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222222-2-2222222-2-20000-2-200000000-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-222-2-2-2-2-2-200002200000000-2-22200000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000-2-200000000222200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000220000000022-2-200000000000000000000
χ2122222222-2-2-2-2222200002-2-2-200002-20022000000-2-2-2-22-20000220000000000000000
χ2222222222-2-2-2-2222200002-2-2-200002-200-2-200000022222-20000-2-20000000000000000
χ2322222222-2-2-2-222220000-22-2-20000-22220000-2-2-2-20000-220022000000000000000000
χ2422222222-2-2-2-222220000-22-2-20000-22-2-2000022220000-2200-2-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-200002-22200002-20022000000-2-222-220000-2-20000000000000000
χ2622222222-2-2-2-2-2-2-2-200002-22200002-200-2-200000022-2-2-220000220000000000000000
χ2722222222-2-2-2-2-2-2-2-20000-22220000-22220000-2-22200002-200-2-2000000000000000000
χ2822222222-2-2-2-2-2-2-2-20000-22220000-22-2-2000022-2-200002-20022000000000000000000
χ292222-2-2-2-222-2-2000022-2-222000000-2-22-22-22-22-2002-200000000000000000000000000
χ302222-2-2-2-222-2-2000022-2-222000000-2-2-22-222-2-2200-2200000000000000000000000000
χ312222-2-2-2-222-2-2000022-2-2-2-2000000220000-22002i−2i002i−2i00002i−2i2i−2i0000000000000000
χ322222-2-2-2-222-2-2000022-2-2-2-2000000220000-2200−2i2i00−2i2i0000−2i2i−2i2i0000000000000000
χ332222-2-2-2-222-2-20000-2-22222000000-2-22-2-22-222-200-2200000000000000000000000000
χ342222-2-2-2-222-2-20000-2-22222000000-2-2-222-2-22-22002-200000000000000000000000000
χ352222-2-2-2-222-2-20000-2-222-2-20000002200002-2002i−2i00−2i2i00002i−2i−2i2i0000000000000000
χ362222-2-2-2-222-2-20000-2-222-2-20000002200002-200−2i2i002i−2i0000−2i2i2i−2i0000000000000000
χ372222-2-2-2-2-2-222000000002-2002i2i−2i−2i-22002-200002i−2i-2200002i−2i−2i2i000000000000000000
χ382222-2-2-2-2-2-222000000002-2002i2i−2i−2i-2200-220000−2i2i2-200002i−2i2i−2i000000000000000000
χ392222-2-2-2-2-2-222000000002-200−2i−2i2i2i-22002-20000−2i2i-220000−2i2i2i−2i000000000000000000
χ402222-2-2-2-2-2-222000000002-200−2i−2i2i2i-2200-2200002i−2i2-20000−2i2i−2i2i000000000000000000
χ412222-2-2-2-2-2-22200000000-22002i2i−2i−2i2-22-20000-2200002i−2i00−2i2i00−2i2i0000000000000000
χ422222-2-2-2-2-2-22200000000-22002i2i−2i−2i2-2-2200002-20000−2i2i00−2i2i002i−2i0000000000000000
χ432222-2-2-2-2-2-22200000000-2200−2i−2i2i2i2-22-20000-220000−2i2i002i−2i002i−2i0000000000000000
χ442222-2-2-2-2-2-22200000000-2200−2i−2i2i2i2-2-2200002-200002i−2i002i−2i00−2i2i0000000000000000
χ452-2-222-2-222-22-222-2-22-22-2002-22-22-200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ462-2-222-2-222-22-222-2-22-22-2002-22-22-200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ472-2-222-2-222-22-222-2-2-22-22002-2-22-2200000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ482-2-222-2-222-22-222-2-2-22-22002-2-22-2200000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ492-2-222-2-222-22-2-2-2222-22-200-22-22-2200000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ502-2-222-2-222-22-2-2-2222-22-200-22-22-2200000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ512-2-222-2-222-22-2-2-222-22-2200-222-22-200000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ522-2-222-2-222-22-2-2-222-22-2200-222-22-200000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ5344-4-444-4-400004i−4i4i−4i0000000000000000000000000000000000002-22i−2i000000000000
χ5444-4-444-4-400004i−4i4i−4i000000000000000000000000000000000000-22−2i2i000000000000
χ5544-4-444-4-40000−4i4i−4i4i0000000000000000000000000000000000002-2−2i2i000000000000
χ5644-4-444-4-40000−4i4i−4i4i000000000000000000000000000000000000-222i−2i000000000000
χ574-44-44-44-400004i−4i−4i4i00000000000000000000000000000000000000002i−2i2-200000000
χ584-44-44-44-400004i−4i−4i4i0000000000000000000000000000000000000000−2i2i-2200000000
χ594-44-44-44-40000−4i4i4i−4i00000000000000000000000000000000000000002i−2i-2200000000
χ604-44-44-44-40000−4i4i4i−4i0000000000000000000000000000000000000000−2i2i2-200000000
χ614-4-444-4-44-44-4444-4-4000000-4400000000000000000000000000000000000000000000
χ624-4-444-4-44-44-44-4-4440000004-400000000000000000000000000000000000000000000
χ634-4-44-444-44-4-4400004-4-44000000000000000000000000000000000000000000000000
χ644-4-44-444-44-4-440000-444-4000000000000000000000000000000000000000000000000
χ654-4-44-444-4-444-40000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ664-4-44-444-4-444-4000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ6788-8-8-8-888000000000000000000000000000000000000000000000000000000000000
χ688-88-8-88-88000000000000000000000000000000000000000000000000000000000000

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