Finite Group Databasebeta

← Group #339206

Character table — Group #339206

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11-1-1
χ51111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-1
χ61111111111111111111111-1-111-1-1-1-11111-1-1-1-11111111-1-1-1111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1
χ11111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-11
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-111-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-11-1-11111-1-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-11-1
χ17222222222-2-22-2-222-2-222220022000000000000-2-20000-2000-22000000000
χ18222222222-2-22-2-222-2-2222200-2-2000000000000-2-2000020002-2000000000
χ19222222222-2-22-2-222-2-2-2-2-2-20022000000000000220000-20002-2000000000
χ20222222222-2-22-2-222-2-2-2-2-2-200-2-20000000000002200002000-22000000000
χ2122222222-222-222-2-2-2-200002200-2-22222-2-200000000000-20000000000000
χ2222222222-222-222-2-2-2-200002200-2-2-2-2-2-2220000000000020000000000000
χ2322222222-222-222-2-2-2-20000-2-2002222-2-22200000000000-20000000000000
χ2422222222-222-222-2-2-2-20000-2-20022-2-222-2-20000000000020000000000000
χ25222-2-2-22-2-2-2-2222-22-2200000000000000002i2i−2i−2i000000002i−2i00002-200000
χ26222-2-2-22-2-2-2-2222-22-2200000000000000002i2i−2i−2i00000000−2i2i0000-2200000
χ27222-2-2-22-2-2-2-2222-22-220000000000000000−2i−2i2i2i000000002i−2i0000-2200000
χ28222-2-2-22-2-2-2-2222-22-220000000000000000−2i−2i2i2i00000000−2i2i00002-200000
χ2922-2-2-22-2202-202-20000i2i2−i2−i200002-22-2002-2i2−i2i2−i2i2−i2i2i2−i2−i20000000000i2−i2000
χ3022-2-2-22-2202-202-20000i2i2−i2−i200002-2-2200-22i2−i2i2−i2i2−i2−i2−i2i2i20000000000−i2i2000
χ3122-2-2-22-2202-202-20000i2i2−i2−i20000-222-200-22−i2i2−i2i2i2−i2−i2−i2i2i20000000000i2−i2000
χ3222-2-2-22-2202-202-20000i2i2−i2−i20000-22-22002-2−i2i2−i2i2i2−i2i2i2−i2−i20000000000−i2i2000
χ3322-2-2-22-2202-202-20000−i2−i2i2i200002-22-2002-2−i2i2−i2i2−i2i2−i2−i2i2i20000000000−i2i2000
χ3422-2-2-22-2202-202-20000−i2−i2i2i200002-2-2200-22−i2i2−i2i2−i2i2i2i2−i2−i20000000000i2−i2000
χ3522-2-2-22-2202-202-20000−i2−i2i2i20000-222-200-22i2−i2i2−i2−i2i2i2i2−i2−i20000000000−i2i2000
χ3622-2-2-22-2202-202-20000−i2−i2i2i20000-22-22002-2i2−i2i2−i2−i2i2−i2−i2i2i20000000000i2−i2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-4444-4-4-44-4-4400000000000000000000000000000000000000000
χ39444-4-4-44-44-4-4-4444-44-400000000000000000000000000000000000000000
χ40444-4-4-44-4-4444-4-4-444-400000000000000000000000000000000000000000
χ4144-444-4-4-404-40-44000000004-400000000000000000000000000000000000
χ4244-444-4-4-404-40-4400000000-4400000000000000000000000000000000000
χ4344-444-4-4-40-4404-40000000000000000000022−22−2222000000000000000000000
χ4444-444-4-4-40-4404-400000000000000000000−222222−22000000000000000000000
χ4544-4-4-44-440-440-4400002i22i2−2i2−2i20000000000000000−2i22i20000000000000000000
χ4644-4-4-44-440-440-440000−2i2−2i22i22i200000000000000002i2−2i20000000000000000000
χ474-444-44-4-4400400-4-4004-44-40000000000000000000000000000000000000
χ484-444-44-4-4400400-4-400-44-440000000000000000000000000000000000000
χ494-444-44-4-4-400-400440000000000000000000000002i2−2i22i2−2i2000000000000000
χ504-444-44-4-4-400-40044000000000000000000000000−2i22i2−2i22i2000000000000000
χ514-44-44-4-44400-400-44000000004i−4i000000000000000000000000000000000
χ524-44-44-4-44400-400-4400000000−4i4i000000000000000000000000000000000
χ534-44-44-4-44-4004004-400000000000000000000000000000000002i2−2i20000000
χ544-44-44-4-44-4004004-40000000000000000000000000000000000−2i22i20000000
χ554-4-4-4444-400000000002i2−2i2−2i22i2000000002i2−2i2000000002-2-22000000000000000
χ564-4-4-4444-400000000002i2−2i2−2i22i200000000−2i22i200000000-222-2000000000000000
χ574-4-4-4444-40000000000−2i22i22i2−2i2000000002i2−2i200000000-222-2000000000000000
χ584-4-4-4444-40000000000−2i22i22i2−2i200000000−2i22i2000000002-2-22000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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