Finite Group Databasebeta

← Group #339366

Character table — Group #339366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1111111-1-1-1-1-1
χ51111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1111-111-1-1-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111-11
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111111-1111-1-1-111-1-1-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-111-111
χ13111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1-111
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1111-1-111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1111-1-1-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111-11-1-111111-1-1
χ17222222222-2-22-2-222-2-222222200000000000000-2-200000200-2-2000000000
χ18222222222-2-22-2-222-2-22222-2-200000000000000-2-200000-20022000000000
χ19222222222-2-22-2-222-2-2-2-2-2-222000000000000002200000-200-22000000000
χ20222222222-2-22-2-222-2-2-2-2-2-2-2-20000000000000022000002002-2000000000
χ2122222222-222-222-2-2-2-200000022-2-22222-2-20000000000-200000000000000
χ2222222222-222-222-2-2-2-200000022-2-2-2-2-2-2220000000000200000000000000
χ2322222222-222-222-2-2-2-2000000-2-22222-2-2220000000000-200000000000000
χ2422222222-222-222-2-2-2-2000000-2-222-2-222-2-20000000000200000000000000
χ2522-22-2-22-2-2-2-2222-22-2200000000000000002i2i−2i−2i000000002i−2i00002-200000
χ2622-22-2-22-2-2-2-2222-22-2200000000000000002i2i−2i−2i00000000−2i2i0000-2200000
χ2722-22-2-22-2-2-2-2222-22-220000000000000000−2i−2i2i2i000000002i−2i0000-2200000
χ2822-22-2-22-2-2-2-2222-22-220000000000000000−2i−2i2i2i00000000−2i2i00002-200000
χ2922-2-22-2-2202-202-20000i2i2−i2−i2002-2002-22-200i2−i2i2−i2i2−i2i2i2−i2−i20000000000i2−i2000
χ3022-2-22-2-2202-202-20000i2i2−i2−i2002-200-22-2200i2−i2i2−i2i2−i2−i2−i2i2i20000000000−i2i2000
χ3122-2-22-2-2202-202-20000i2i2−i2−i200-22002-2-2200−i2i2−i2i2i2−i2−i2−i2i2i20000000000i2−i2000
χ3222-2-22-2-2202-202-20000i2i2−i2−i200-2200-222-200−i2i2−i2i2i2−i2i2i2−i2−i20000000000−i2i2000
χ3322-2-22-2-2202-202-20000−i2−i2i2i2002-2002-22-200−i2i2−i2i2−i2i2−i2−i2i2i20000000000−i2i2000
χ3422-2-22-2-2202-202-20000−i2−i2i2i2002-200-22-2200−i2i2−i2i2−i2i2i2i2−i2−i20000000000i2−i2000
χ3522-2-22-2-2202-202-20000−i2−i2i2i200-22002-2-2200i2−i2i2−i2−i2i2i2i2−i2−i20000000000−i2i2000
χ3622-2-22-2-2202-202-20000−i2−i2i2i200-2200-222-200i2−i2i2−i2−i2i2−i2−i2i2i20000000000i2−i2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-404-40-440000000000004-40000000000000000000000000000000
χ39444-4-44-4-404-40-44000000000000-440000000000000000000000000000000
χ40444-4-44-4-40-4404-40000000000000000000022−22−2222000000000000000000000
χ41444-4-44-4-40-4404-400000000000000000000−222222−22000000000000000000000
χ4244-44-4-44-4444-4-4-44-4-4400000000000000000000000000000000000000000
χ4344-44-4-44-44-4-4-4444-44-400000000000000000000000000000000000000000
χ4444-44-4-44-4-4444-4-4-444-400000000000000000000000000000000000000000
χ4544-4-44-4-440-440-4400002i22i2−2i2−2i20000000000000000−2i22i20000000000000000000
χ4644-4-44-4-440-440-440000−2i2−2i22i22i200000000000000002i2−2i20000000000000000000
χ474-4444-4-4-4000000000022−2222−22000000000022−220000002-22-2000000000000000
χ484-4444-4-4-4000000000022−2222−220000000000−2222000000-22-22000000000000000
χ494-4444-4-4-40000000000−2222−2222000000000022−22000000-22-22000000000000000
χ504-4444-4-4-40000000000−2222−22220000000000−22220000002-22-2000000000000000
χ514-44-4-4-444400400-4-40000004i−4i00000000000000000000000000000000000
χ524-44-4-4-444400400-4-4000000−4i4i00000000000000000000000000000000000
χ534-44-4-4-444-400-40044000000000000000000000000000000000022−220000000
χ544-44-4-4-444-400-400440000000000000000000000000000000000−22220000000
χ554-4-4-4444-4400-400-44004i−4i−4i4i0000000000000000000000000000000000000
χ564-4-4-4444-4400-400-4400−4i4i4i−4i0000000000000000000000000000000000000
χ574-4-4-4444-4-4004004-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ584-4-4-4444-4-4004004-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ598-8-88-88-88000000000000000000000000000000000000000000000000000

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