Finite Group Databasebeta

← Group #347313

Character table — Group #347313

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222224444444444444444488888888888888888888888881616161616161616323232
order12222244444422222222444444444222222444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ51111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111111-1-1-1-111111111-1-1-1-11-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111-1-1
χ9111111111111-1-1-1-111-1-111-1-1111111111-1-1-1-11-11-11-1-1-1-111-1-1111111-1-111-1-1-11-1
χ10111111111111-1-1-1-111-1-111-1-1111111111-1-1-1-11-11-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1111-11
χ11111111111111-1-1-1-111-1-111-1-1-1-1111-1-1-1-111-1-11-11-1-11111-1-1111111-1-1-1-111-1-11-11
χ12111111111111-1-1-1-111-1-111-1-1-1-1111-1-1-1-111-1-11-11-1-11111-1-111-1-1-1-11111-1-111-11-1
χ13111111111111-1-1-1-1-1-111-1-1111111111-1-111-1-1-11-111-1-1-1-1-1-111111111-1-1-1-111-1-11
χ14111111111111-1-1-1-1-1-111-1-1111111111-1-111-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1
χ15111111111111-1-1-1-1-1-111-1-111-1-1111-1-111-1-1-1-1-11-11-1111111-1-11111-1-1-1-1-1-11111-1
χ16111111111111-1-1-1-1-1-111-1-111-1-1111-1-111-1-1-1-1-11-11-1111111-1-1-1-1-1-1111111-1-1-1-11
χ172222222-2-22-2-222-2-200000000222-2-2-2-200002-20000222-2-20000000000000000000
χ182222222-2-22-2-222-2-200000000-2-22-2-22200002-20000-2-2-2220000000000000000000
χ192222222-2-22-2-2-2-22200000000222-2-2-2-20000-2200002-2-2220000000000000000000
χ202222222-2-22-2-2-2-22200000000-2-22-2-2220000-220000-222-2-20000000000000000000
χ21222222-222-22222222222222200-2-2-2000000-2-2-2-2-2-2000000000000000000000000
χ22222222-222-2222222-2-2-2-2-2-2-2-200-2-2-2000000-2-22222000000000000000000000000
χ23222222-222-222-2-2-2-222-2-222-2-200-2-2-200000022-22-22000000000000000000000000
χ24222222-222-222-2-2-2-2-2-222-2-22200-2-2-2000000222-22-2000000000000000000000000
χ25222222-2-2-2-2-2-222-2-20000000000-222002-22-2-220000000002-22-2000000000000000
χ26222222-2-2-2-2-2-222-2-20000000000-22200-22-22-22000000000-22-22000000000000000
χ27222222-2-2-2-2-2-2-2-2220000000000-222002-2-222-20000000002-2-22000000000000000
χ28222222-2-2-2-2-2-2-2-2220000000000-22200-222-22-2000000000-222-2000000000000000
χ292222-2-222-222-20000002200-2-222-22-22-200-2-200020-2-200000022000000000000000
χ302222-2-222-222-20000002200-2-2-2-2-22-2-22002200020-22000000-2-2000000000000000
χ312222-2-222-222-2000000-2-2002222-22-22-20022000-202-2000000-2-2000000000000000
χ322222-2-222-222-2000000-2-20022-2-2-22-2-2200-2-2000-202200000022000000000000000
χ332222-2-22-222-2200002200-2-20022-2-22-22-2-2000020-20-200002200000000000000000
χ342222-2-22-222-2200002200-2-200-2-2-2-222-222000020-2020000-2-200000000000000000
χ352222-2-22-222-220000-2-200220022-2-22-22220000-2020-20000-2-200000000000000000
χ362222-2-22-222-220000-2-2002200-2-2-2-222-2-2-20000-2020200002200000000000000000
χ372222-2-2-22-2-22-20000002200-2-2002-22002-200000-20202-22-2-2200000000000000000
χ382222-2-2-22-2-22-20000002200-2-2002-2200-2200000-2020-22-222-200000000000000000
χ392222-2-2-22-2-22-2000000-2-20022002-22002-20000020-20-22-22-2200000000000000000
χ402222-2-2-22-2-22-2000000-2-20022002-2200-220000020-202-22-22-200000000000000000
χ412222-2-2-2-22-2-2200002200-2-2000022-200002-200-202002-2-2200-22000000000000000
χ422222-2-2-2-22-2-2200002200-2-2000022-20000-2200-20200-222-2002-2000000000000000
χ432222-2-2-2-22-2-220000-2-20022000022-200002-20020-200-222-200-22000000000000000
χ442222-2-2-2-22-2-220000-2-20022000022-20000-220020-2002-2-22002-2000000000000000
χ452-2-222-20220-2-22-22-22-22-22-22-200000000000000000000000000i2i2−i2−i200i2−i2i2−i2i2−i2000
χ462-2-222-20220-2-22-22-22-22-22-22-200000000000000000000000000−i2−i2i2i200−i2i2−i2i2−i2i2000
χ472-2-222-20220-2-22-22-2-22-22-22-2200000000000000000000000000i2i2−i2−i200i2−i2−i2i2−i2i2000
χ482-2-222-20220-2-22-22-2-22-22-22-2200000000000000000000000000−i2−i2i2i200−i2i2i2−i2i2−i2000
χ492-2-222-20220-2-2-22-222-2-222-2-2200000000000000000000000000i2i2−i2−i200−i2i2i2−i2−i2i2000
χ502-2-222-20220-2-2-22-222-2-222-2-2200000000000000000000000000−i2−i2i2i200i2−i2−i2i2i2−i2000
χ512-2-222-20220-2-2-22-22-222-2-222-200000000000000000000000000i2i2−i2−i200−i2i2−i2i2i2−i2000
χ522-2-222-20220-2-2-22-22-222-2-222-200000000000000000000000000−i2−i2i2i200i2−i2i2−i2−i2i2000
χ5344-4-400-4004000000000000004i−4i0000000000000000000000002-22-22i−2i000000000
χ5444-4-400-4004000000000000004i−4i000000000000000000000000-22-22−2i2i000000000
χ5544-4-400-400400000000000000−4i4i0000000000000000000000002-22-2−2i2i000000000
χ5644-4-400-400400000000000000−4i4i000000000000000000000000-22-222i−2i000000000
χ574-4-444-40-4-40444-4-440000000000000000000000000000000000000000000000000
χ584-4-444-40-4-4044-444-40000000000000000000000000000000000000000000000000
χ594-4-44-4404-40-440000004-400-4400000000000000000000000000000000000000000
χ604-4-44-4404-40-44000000-44004-400000000000000000000000000000000000000000
χ614-4-44-440-4404-400004-400-440000000000000000000000000000000000000000000
χ624-4-44-440-4404-40000-44004-40000000000000000000000000000000000000000000
χ6388-8-800800-80000000000000000000000000000000000000000000000000000000
χ648-88-800000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ658-88-80000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000

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