Finite Group Databasebeta

← Group #284385

Character table — Group #284385

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-1-1-11-1-11-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-11-1-1-1-1111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1111111-1-1-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-111111-1
χ91111111111111111-1-1-1-1111111-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-111-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-1-111-1-1-11111-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-11-1-1111111-1-1-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-111-1-1-1-11111-1-11-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1111-1-11-1-1-1-111-11
χ172222222222-2-2-222-20000-2-2222200222200-2-20000000000-2-200000000000000
χ182222222222-2-2-222-20000-2-2222200-2-2-2-200-2-200000000002200000000000000
χ192222222222-2-2-222-20000-2-2-2-2-2-20022-2-2002200000000002-200000000000000
χ202222222222-2-2-222-20000-2-2-2-2-2-200-2-22200220000000000-2200000000000000
χ2122222222-2-2222-2-222222-2-20000-2-2000022000000-2-200000000-200200000000
χ2222222222-2-2222-2-222222-2-20000-2-20000-2-20000002200000000200-200000000
χ2322222222-2-2222-2-22-2-2-2-2-2-2000022000022000000-2-200000000200-200000000
χ2422222222-2-2222-2-22-2-2-2-2-2-20000220000-2-20000002200000000-200200000000
χ2522-222-2-2-22-20002-2000000022-2-2002i−2i2i−2ii2−i2000000i2−i2i2i2−i2−i2000000002−2002−200
χ2622-222-2-2-22-20002-2000000022-2-2002i−2i2i−2i−i2i2000000−i2i2−i2−i2i2i200000000−2200−2200
χ2722-222-2-2-22-20002-2000000022-2-200−2i2i−2i2ii2−i2000000i2−i2i2i2−i2−i200000000−2200−2200
χ2822-222-2-2-22-20002-2000000022-2-200−2i2i−2i2i−i2i2000000−i2i2−i2−i2i2i2000000002−2002−200
χ2922-222-2-2-22-20002-20000000-2-222002i−2i−2i2ii2−i2000000i2−i2−i2−i2i2i200000000−22002−200
χ3022-222-2-2-22-20002-20000000-2-222002i−2i−2i2i−i2i2000000−i2i2i2i2−i2−i2000000002−200−2200
χ3122-222-2-2-22-20002-20000000-2-22200−2i2i2i−2ii2−i2000000i2−i2−i2−i2i2i2000000002−200−2200
χ3222-222-2-2-22-20002-20000000-2-22200−2i2i2i−2i−i2i2000000−i2i2i2i2−i2−i200000000−22002−200
χ332-2-22-2-222222-22-2-2-20000-222i−2i2i−2i000000002i−2i0000000000002i−2i02-2000000000
χ342-2-22-2-222222-22-2-2-20000-222i−2i2i−2i000000002i−2i000000000000−2i2i0-22000000000
χ352-2-22-2-222222-22-2-2-20000-22−2i2i−2i2i00000000−2i2i0000000000002i−2i0-22000000000
χ362-2-22-2-222222-22-2-2-20000-22−2i2i−2i2i00000000−2i2i000000000000−2i2i02-2000000000
χ372-2-22-2-22222-22-2-2-2222-2-22-22i−2i2i−2i2-2000000−2i2i2i2i−2i−2i0000000000000000000000
χ382-2-22-2-22222-22-2-2-2222-2-22-2−2i2i−2i2i2-20000002i−2i−2i−2i2i2i0000000000000000000000
χ392-2-22-2-22222-22-2-2-22-2-2222-22i−2i2i−2i-22000000−2i2i−2i−2i2i2i0000000000000000000000
χ402-2-22-2-22222-22-2-2-22-2-2222-2−2i2i−2i2i-220000002i−2i2i2i−2i−2i0000000000000000000000
χ412-2-22-2-222-2-2-22-222222-2-2-220000-22000000000000002-22-200000000002-20000
χ422-2-22-2-222-2-2-22-222222-2-2-220000-2200000000000000-22-220000000000-220000
χ432-2-22-2-222-2-2-22-2222-2-222-2200002-2000000000000002-22-20000000000-220000
χ442-2-22-2-222-2-2-22-2222-2-222-2200002-200000000000000-22-2200000000002-20000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-44-4004-4-4004000000000000000000002i2−2i22i2−2i20000000000000000000000
χ47444-4-4-44-4004-4-400400000000000000000000−2i22i2−2i22i20000000000000000000000
χ48444-4-4-44-400-44400-44i−4i4i−4i000000000000000000000000000000000000000000
χ49444-4-4-44-400-44400-4−4i4i−4i4i000000000000000000000000000000000000000000
χ5044-444-4-4-4-44000-44000000000000000002i2−2i2000000−2i22i200000000000000000000
χ5144-444-4-4-4-44000-4400000000000000000−2i22i20000002i2−2i200000000000000000000
χ524-444-44-4-44-4000-4400000004i−4i−4i4i000000000000000000000000000000000000
χ534-444-44-4-44-4000-440000000−4i4i4i−4i000000000000000000000000000000000000
χ544-444-44-4-4-440004-40000000000000000000000000002i2−2i2−2i22i20000000000000000
χ554-444-44-4-4-440004-4000000000000000000000000000−2i22i22i2−2i20000000000000000
χ564-4-44-4-444-4-44-4444-400004-40000000000000000000000000000000000000000
χ574-4-4-4444-40044-400-44i−4i−4i4i000000000000000000000000000000000000000000
χ584-4-4-4444-40044-400-4−4i4i4i−4i000000000000000000000000000000000000000000
χ594-4-4-4444-400-4-440040000000000000000000022−22−22220000000000000000000000
χ604-4-4-4444-400-4-4400400000000000000000000−222222−220000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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