Finite Group Databasebeta

← Group #311479

Character table — Group #311479

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882224444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-1-11-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11-111-1-1111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-111111-1-1-1-1-11-11111-1-1-1-1
χ1011111111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-111-111-1-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-1-111-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-11-1-111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11111111-1-1-1-1-11
χ17222222222-22-2-222-2-22222-20000-2-200000022-2-2000000000002000-200000000
χ18222222222-22-2-222-2-22222-20000-2-2000000-2-22200000000000-2000200000000
χ19222222222-22-2-222-2-2-2-2-2-2-200002200000022-2-200000000000-2000200000000
χ20222222222-22-2-222-2-2-2-2-2-2-2000022000000-2-222000000000002000-200000000
χ2122222222-22-222-2-22-20000-22222002222-2-2000000000000-200000-2000000000
χ2222222222-22-222-2-22-20000-2222200-2-2-2-2-2-20000000000002000002000000000
χ2322222222-22-222-2-22-20000-2-2-2-2-20022-2-222000000000000-2000002000000000
χ2422222222-22-222-2-22-20000-2-2-2-2-200-2-22222000000000000200000-2000000000
χ2522-2-222-2-222-2-2-22-22-2000022i2i−2i−2i0000002i−2i00000000000002-202i−2i0000000000
χ2622-2-222-2-222-2-2-22-22-2000022i2i−2i−2i0000002i−2i0000000000000-220−2i2i0000000000
χ2722-2-222-2-222-2-2-22-22-200002−2i−2i2i2i000000−2i2i00000000000002-20−2i2i0000000000
χ2822-2-222-2-222-2-2-22-22-200002−2i−2i2i2i000000−2i2i0000000000000-2202i−2i0000000000
χ2922-2-222-2-2-222-2-2-22222i2i−2i−2i-22i2i−2i−2i2i−2i0000−2i2i000022-2-200000000000000000000
χ3022-2-222-2-2-222-2-2-22222i2i−2i−2i-2−2i−2i2i2i2i−2i00002i−2i0000-2-22200000000000000000000
χ3122-2-222-2-2-222-2-2-2222−2i−2i2i2i-22i2i−2i−2i−2i2i0000−2i2i0000-2-22200000000000000000000
χ3222-2-222-2-2-222-2-2-2222−2i−2i2i2i-2−2i−2i2i2i−2i2i00002i−2i000022-2-200000000000000000000
χ3322-2-222-2-2-2-2222-22-2-22i2i−2i−2i20000−2i2i0000000000000022-2-20000000000002i−2i00
χ3422-2-222-2-2-2-2222-22-2-22i2i−2i−2i20000−2i2i00000000000000-2-222000000000000−2i2i00
χ3522-2-222-2-2-2-2222-22-2-2−2i−2i2i2i200002i−2i0000000000000022-2-2000000000000−2i2i00
χ3622-2-222-2-2-2-2222-22-2-2−2i−2i2i2i200002i−2i00000000000000-2-2220000000000002i−2i00
χ3744444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ38444-4-4-44-4000000000000002i2−2i22i2−2i20000000022−220000002i−2i2i−2i0000000000000000
χ39444-4-4-44-4000000000000002i2−2i22i2−2i200000000−2222000000−2i2i−2i2i0000000000000000
χ40444-4-4-44-400000000000000−2i22i2−2i22i20000000022−22000000−2i2i−2i2i0000000000000000
χ41444-4-4-44-400000000000000−2i22i2−2i22i200000000−22220000002i−2i2i−2i0000000000000000
χ4244-44-4-4-440000000000000022−22−222200000000002i2−2i200002i−2i−2i2i0000000000000000
χ4344-44-4-4-440000000000000022−22−22220000000000−2i22i20000−2i2i2i−2i0000000000000000
χ4444-44-4-4-4400000000000000−222222−2200000000002i2−2i20000−2i2i2i−2i0000000000000000
χ4544-44-4-4-4400000000000000−222222−220000000000−2i22i200002i−2i−2i2i0000000000000000
χ4644-4-444-4-44-4-4444-4-440000-40000000000000000000000000000000000000000
χ474-4444-4-4-440400-4-40000000000000000000000022−2222−2200000000000000000000
χ484-4444-4-4-440400-4-400000000000000000000000−2222−222200000000000000000000
χ494-4444-4-4-4-40-40044004i−4i4i−4i00000000000000000000000000000000000000000
χ504-4444-4-4-4-40-4004400−4i4i−4i4i00000000000000000000000000000000000000000
χ514-44-4-44-440404-400-4000000000000004i−4i000000000000000000000000000000
χ524-44-4-44-440404-400-400000000000000−4i4i000000000000000000000000000000
χ534-44-4-44-440-40-44004000000000000000000000000000000000000000022−220000
χ544-44-4-44-440-40-440040000000000000000000000000000000000000000−22220000
χ554-4-44-444-4040-4400-40000000000004i−4i00000000000000000000000000000000
χ564-4-44-444-4040-4400-4000000000000−4i4i00000000000000000000000000000000
χ574-4-44-444-40-404-40040000000000000000000000000000000000000022−22000000
χ584-4-44-444-40-404-400400000000000000000000000000000000000000−2222000000
χ594-4-4-44-44440-400-44004-4-4400000000000000000000000000000000000000000
χ604-4-4-44-44440-400-4400-444-400000000000000000000000000000000000000000
χ614-4-4-44-444-404004-40000000000000000000000022−22−222200000000000000000000
χ624-4-4-44-444-404004-400000000000000000000000−222222−2200000000000000000000

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