Finite Group Databasebeta

← Group #311197

Character table — Group #311197

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-11-11111-11-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111-11-1-1-1-11-111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1111-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-11-1-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-11-1-11111-1-111-1-1-11
χ172222222222-2-22-2-222222-2-200000000-2-200220000-2-200000-200002000000000
χ182222222222-2-22-2-222222-2-200000000-2-200-2-20000220000020000-2000000000
χ192222222222-2-22-2-22-2-2-2-2-2-2000000002200220000-2-20000020000-2000000000
χ202222222222-2-22-2-22-2-2-2-2-2-2000000002200-2-200002200000-200002000000000
χ2122222222-2-222-222-20000-2-22222222200-2-2000000000000-2000000-200000000
χ2222222222-2-222-222-20000-2-22222-2-2-2-200-2-20000000000002000000200000000
χ2322222222-2-222-222-20000-2-2-2-2-2-222-2-20022000000000000-2000000200000000
χ2422222222-2-222-222-20000-2-2-2-2-2-2-2-22200220000000000002000000-200000000
χ2522-2-22-2-22002-202-2000000022-2-22i−2i2i−2i0000i2−i20000i2−i2i2i2−i2−i200000000002−22−200
χ2622-2-22-2-22002-202-2000000022-2-22i−2i2i−2i0000−i2i20000−i2i2−i2−i2i2i20000000000−22−2200
χ2722-2-22-2-22002-202-2000000022-2-2−2i2i−2i2i0000i2−i20000i2−i2i2i2−i2−i20000000000−22−2200
χ2822-2-22-2-22002-202-2000000022-2-2−2i2i−2i2i0000−i2i20000−i2i2−i2−i2i2i200000000002−22−200
χ2922-2-22-2-22002-202-20000000-2-2222i−2i−2i2i0000i2−i20000i2−i2−i2−i2i2i200000000002−2−2200
χ3022-2-22-2-22002-202-20000000-2-2222i−2i−2i2i0000−i2i20000−i2i2i2i2−i2−i20000000000−222−200
χ3122-2-22-2-22002-202-20000000-2-222−2i2i2i−2i0000i2−i20000i2−i2−i2−i2i2i20000000000−222−200
χ3222-2-22-2-22002-202-20000000-2-222−2i2i2i−2i0000−i2i20000−i2i2i2i2−i2−i200000000002−2−2200
χ332-22-222-2-22-2-2-2222-20000-222i−2i2i−2i0000002i−2i000000000000002-22i−2i0000000000
χ342-22-222-2-22-2-2-2222-20000-222i−2i2i−2i0000002i−2i00000000000000-22−2i2i0000000000
χ352-22-222-2-22-2-2-2222-20000-22−2i2i−2i2i000000−2i2i000000000000002-2−2i2i0000000000
χ362-22-222-2-22-2-2-2222-20000-22−2i2i−2i2i000000−2i2i00000000000000-222i−2i0000000000
χ372-22-222-2-2-2222-2-2-222i2i−2i−2i-22000000002i−2i00000000002-22-2000000002i−2i000000
χ382-22-222-2-2-2222-2-2-222i2i−2i−2i-22000000002i−2i0000000000-22-2200000000−2i2i000000
χ392-22-222-2-2-2222-2-2-22−2i−2i2i2i-2200000000−2i2i00000000002-22-200000000−2i2i000000
χ402-22-222-2-2-2222-2-2-22−2i−2i2i2i-2200000000−2i2i0000000000-22-22000000002i−2i000000
χ412-22-222-2-2-22-2-2-22222i2i−2i−2i2-22i−2i2i−2i0000−2i2i−2i2i0022-2-20000000000000000000000
χ422-22-222-2-2-22-2-2-22222i2i−2i−2i2-2−2i2i−2i2i0000−2i2i2i−2i00-2-2220000000000000000000000
χ432-22-222-2-2-22-2-2-2222−2i−2i2i2i2-22i−2i2i−2i00002i−2i−2i2i00-2-2220000000000000000000000
χ442-22-222-2-2-22-2-2-2222−2i−2i2i2i2-2−2i2i−2i2i00002i−2i2i−2i0022-2-20000000000000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-44-44400-400-44-44-4000000000000000000000000000000000000000000
χ47444-4-4-44-44400-400-4-44-44000000000000000000000000000000000000000000
χ48444-4-4-44-4-4-4004004000000000000000000002i2−2i22i2−2i20000000000000000000000
χ49444-4-4-44-4-4-400400400000000000000000000−2i22i2−2i22i20000000000000000000000
χ5044-4-44-4-4400-440-4400000000000000000002i2−2i20000−2i22i200000000000000000000
χ5144-4-44-4-4400-440-440000000000000000000−2i22i200002i2−2i200000000000000000000
χ524-444-4-4-444-400-4004000000000000000000002i2−2i2−2i22i20000000000000000000000
χ534-444-4-4-444-400-400400000000000000000000−2i22i22i2−2i20000000000000000000000
χ544-444-4-4-44-4400400-44i−4i−4i4i000000000000000000000000000000000000000000
χ554-444-4-4-44-4400400-4−4i4i4i−4i000000000000000000000000000000000000000000
χ564-44-444-4-44-4444-4-4-400004-40000000000000000000000000000000000000000
χ574-4-444-44-4004-40-440000000000000000000000000002i2−2i2−2i22i20000000000000000
χ584-4-444-44-4004-40-44000000000000000000000000000−2i22i22i2−2i20000000000000000
χ594-4-444-44-400-4404-400000004i−4i−4i4i000000000000000000000000000000000000
χ604-4-444-44-400-4404-40000000−4i4i4i−4i000000000000000000000000000000000000
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-8-8888000000000000000000000000000000000000000000000000000000

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