Finite Group Databasebeta

← Group #311486

Character table — Group #311486

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-111-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-11111-1-11-1
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-11-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-111-11
χ91111111111111111-1-1-1-11111111111-1-11111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-11-1-111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-1111-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-111-1-1-11111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-1-111-111-1-1-1-1111-1
χ17222222222-2-22-2-2222222-2-200000000-2-200220000-2-200000000002-200000000
χ18222222222-2-22-2-2222222-2-200000000-2-200-2-20000220000000000-2200000000
χ19222222222-2-22-2-222-2-2-2-2-2-2000000002200220000-2-20000000000-2200000000
χ20222222222-2-22-2-222-2-2-2-2-2-2000000002200-2-200002200000000002-200000000
χ2122222222-222-222-2-20000-2-22222222200-2-2000000000000-20000-20000000000
χ2222222222-222-222-2-20000-2-22222-2-2-2-200-2-20000000000002000020000000000
χ2322222222-222-222-2-20000-2-2-2-2-2-222-2-2002200000000000020000-20000000000
χ2422222222-222-222-2-20000-2-2-2-2-2-2-2-2220022000000000000-2000020000000000
χ252-22-22-22-22-2-2-2222-20000-222i2i−2i−2i0000002i−2i00000000000002i−2i2-200000000000
χ262-22-22-22-22-2-2-2222-20000-222i2i−2i−2i0000002i−2i0000000000000−2i2i-2200000000000
χ272-22-22-22-22-2-2-2222-20000-22−2i−2i2i2i000000−2i2i00000000000002i−2i-2200000000000
χ282-22-22-22-22-2-2-2222-20000-22−2i−2i2i2i000000−2i2i0000000000000−2i2i2-200000000000
χ292-22-22-22-2-2222-2-2-222i2i−2i−2i-22000000002i−2i000000000022-2-2000000002i−2i000000
χ302-22-22-22-2-2222-2-2-222i2i−2i−2i-22000000002i−2i0000000000-2-22200000000−2i2i000000
χ312-22-22-22-2-2222-2-2-22−2i−2i2i2i-2200000000−2i2i000000000022-2-200000000−2i2i000000
χ322-22-22-22-2-2222-2-2-22−2i−2i2i2i-2200000000−2i2i0000000000-2-222000000002i−2i000000
χ332-22-22-22-2-2-2-2222-222i2i−2i−2i2-22i2i−2i−2i0000−2i2i−2i2i0022-2-20000000000000000000000
χ342-22-22-22-2-2-2-2222-222i2i−2i−2i2-2−2i−2i2i2i0000−2i2i2i−2i00-2-2220000000000000000000000
χ352-22-22-22-2-2-2-2222-22−2i−2i2i2i2-22i2i−2i−2i00002i−2i−2i2i00-2-2220000000000000000000000
χ362-22-22-22-2-2-2-2222-22−2i−2i2i2i2-2−2i−2i2i2i00002i−2i2i−2i0022-2-20000000000000000000000
χ3744444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ384444-4-4-4-404-404-40000000000000000000000000000000000000000000022−2200
χ394444-4-4-4-404-404-400000000000000000000000000000000000000000000−222200
χ404444-4-4-4-40-440-440000000000004-40000000000000000000000000000000000
χ414444-4-4-4-40-440-44000000000000-440000000000000000000000000000000000
χ4244-4-444-4-4400400-4-44-44-4000000000000000000000000000000000000000000
χ4344-4-444-4-4400400-4-4-44-44000000000000000000000000000000000000000000
χ4444-4-444-4-4-400-40044000000000000000000002i2−2i22i2−2i20000000000000000000000
χ4544-4-444-4-4-400-4004400000000000000000000−2i22i2−2i22i20000000000000000000000
χ4644-4-4-4-4440000000000000022−2222−22000000000000002i2−2i22i−2i2i−2i0000000000000000
χ4744-4-4-4-4440000000000000022−2222−2200000000000000−2i22i2−2i2i−2i2i0000000000000000
χ4844-4-4-4-44400000000000000−2222−2222000000000000002i2−2i2−2i2i−2i2i0000000000000000
χ4944-4-4-4-44400000000000000−2222−222200000000000000−2i22i22i−2i2i−2i0000000000000000
χ504-44-44-44-4444-4-4-44-400004-40000000000000000000000000000000000000000
χ514-44-4-44-4404-40-44000000000000004i−4i00000000000000000000000000000000
χ524-44-4-44-4404-40-4400000000000000−4i4i00000000000000000000000000000000
χ534-44-4-44-440-4404-40000000000000000000000000000000000000000002i2−2i20000
χ544-44-4-44-440-4404-4000000000000000000000000000000000000000000−2i22i20000
χ554-4-444-4-44400-400-44000000000000000000002i2−2i2−2i22i20000000000000000000000
χ564-4-444-4-44400-400-4400000000000000000000−2i22i22i2−2i20000000000000000000000
χ574-4-444-4-44-4004004-44i−4i−4i4i000000000000000000000000000000000000000000
χ584-4-444-4-44-4004004-4−4i4i4i−4i000000000000000000000000000000000000000000
χ594-4-44-444-4000000000000002i2−2i2−2i22i20000000022−220000002i−2i−2i2i0000000000000000
χ604-4-44-444-4000000000000002i2−2i2−2i22i200000000−2222000000−2i2i2i−2i0000000000000000
χ614-4-44-444-400000000000000−2i22i22i2−2i20000000022−22000000−2i2i2i−2i0000000000000000
χ624-4-44-444-400000000000000−2i22i22i2−2i200000000−22220000002i−2i−2i2i0000000000000000

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