Finite Group Databasebeta

← Group #309129

Character table — Group #309129

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-1-1-1-1-11-1111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-11-1-111-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-111-1-1111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1111-1-1-1-1111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-11111-1-1-11
χ911111111111111111-1-1-1-11111111-1-1111111-1-1-1-1111111-1-1-1-11-11-1-1-11111-1-1
χ1011111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-11111-1-11-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-11-1-1-1-111-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-11-111-1-111-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1111-1-111-1-11-1
χ172222222222-2-22-2-22-22222-2000000-2-20000220000-2-200000000020-200000000
χ182222222222-2-22-2-22-22222-2000000-2-20000-2-2000022000000000-20200000000
χ192222222222-2-22-2-22-2-2-2-2-2-2000000220000220000-2-2000000000-20200000000
χ202222222222-2-22-2-22-2-2-2-2-2-2000000220000-2-200002200000000020-200000000
χ2122222222-2-222-222-2-20000-22222220022-2-20000000000000000-20-2000000000
χ2222222222-2-222-222-2-20000-22222-2-200-2-2-2-20000000000000000202000000000
χ2322222222-2-222-222-2-20000-2-2-2-2-22200-2-2220000000000000000-202000000000
χ2422222222-2-222-222-2-20000-2-2-2-2-2-2-2002222000000000000000020-2000000000
χ2522-222-2-2-22222-2-2-2-220000-222-2-20000002-20000000000002-22-2000000000000
χ2622-222-2-2-22222-2-2-2-220000-222-2-20000002-2000000000000-22-22000000000000
χ2722-222-2-2-22222-2-2-2-220000-2-2-222000000-220000000000002-2-22000000000000
χ2822-222-2-2-22222-2-2-2-220000-2-2-222000000-22000000000000-222-2000000000000
χ2922-222-2-2-2-2-2222-2-22-22i2i−2i−2i222-2-2002i−2i00-22002i2i−2i−2i0000000000000000000000
χ3022-222-2-2-2-2-2222-2-22-22i2i−2i−2i2-2-222002i−2i002-200−2i−2i2i2i0000000000000000000000
χ3122-222-2-2-2-2-2222-2-22-2−2i−2i2i2i222-2-200−2i2i00-2200−2i−2i2i2i0000000000000000000000
χ3222-222-2-2-2-2-2222-2-22-2−2i−2i2i2i2-2-22200−2i2i002-2002i2i−2i−2i0000000000000000000000
χ3322-222-2-2-2-2-2-2-2222222i2i−2i−2i-2000000−2i2i0000000000002i2i−2i−2i000000002-2000000
χ3422-222-2-2-2-2-2-2-2222222i2i−2i−2i-2000000−2i2i000000000000−2i−2i2i2i00000000-22000000
χ3522-222-2-2-2-2-2-2-222222−2i−2i2i2i-20000002i−2i0000000000002i2i−2i−2i00000000-22000000
χ3622-222-2-2-2-2-2-2-222222−2i−2i2i2i-20000002i−2i000000000000−2i−2i2i2i000000002-2000000
χ3744444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ38444-4-44-4-4004-404-4000000000004-40000000000000000000000000000000000
χ39444-4-44-4-4004-404-400000000000-440000000000000000000000000000000000
χ40444-4-44-4-400-440-440000000000000000000000000000000000000000022−220000
χ41444-4-44-4-400-440-4400000000000000000000000000000000000000000−22220000
χ4244-444-4-4-444-4-4-444-4-4000040000000000000000000000000000000000000000
χ4344-4-4-4-444004-40-440000000000000004i−4i000000000000000000000000000000
χ4444-4-4-4-444004-40-44000000000000000−4i4i000000000000000000000000000000
χ4544-4-4-4-44400-4404-400000000000000000000000000000000000000000002i2−2i200
χ4644-4-4-4-44400-4404-40000000000000000000000000000000000000000000−2i22i200
χ474-444-4-44-44-400400-40000000000000000000022−2222−220000000000000000000000
χ484-444-4-44-44-400400-400000000000000000000−2222−22220000000000000000000000
χ494-444-4-44-4-4400-400404i−4i4i−4i00000000000000000000000000000000000000000
χ504-444-4-44-4-4400-40040−4i4i−4i4i00000000000000000000000000000000000000000
χ514-44-44-4-44000000000000002i2−2i22i2−2i20000000000000022−222i−2i2i−2i0000000000000000
χ524-44-44-4-44000000000000002i2−2i22i2−2i200000000000000−2222−2i2i−2i2i0000000000000000
χ534-44-44-4-4400000000000000−2i22i2−2i22i20000000000000022−22−2i2i−2i2i0000000000000000
χ544-44-44-4-4400000000000000−2i22i2−2i22i200000000000000−22222i−2i2i−2i0000000000000000
χ554-4-44-44-444-400-400404-4-4400000000000000000000000000000000000000000
χ564-4-44-44-444-400-40040-444-400000000000000000000000000000000000000000
χ574-4-44-44-44-4400400-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ584-4-44-44-44-4400400-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ594-4-4-4444-4000000000000002i2−2i2−2i22i2000000002i2−2i20000002-2-220000000000000000
χ604-4-4-4444-4000000000000002i2−2i2−2i22i200000000−2i22i2000000-222-20000000000000000
χ614-4-4-4444-400000000000000−2i22i22i2−2i2000000002i2−2i2000000-222-20000000000000000
χ624-4-4-4444-400000000000000−2i22i22i2−2i200000000−2i22i20000002-2-220000000000000000

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