Finite Group Databasebeta

← Group #341028

Character table — Group #341028

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888224
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1111111-1-1-1-11111-11-1-1111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-1111-1-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1111-11
χ11111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-11111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1111-111-1-1-1-1-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-11-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1111-1-1111-1-1
χ172222222222-22-2-2-22-2-2222200002200-2-20000000000000200-2-2000000000
χ182222222222-22-2-2-22-2-222220000-2-200-2-20000000000000-20022000000000
χ192222222222-22-2-2-22-2-2-2-2-2-200002200220000000000000-200-22000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000-2-2002200000000000002002-2000000000
χ2122222222-2-22-2222-2-2-2000022-2-2002200-2-22200000000-200000000000000
χ2222222222-2-22-2222-2-2-2000022-2-200-2-20022-2-200000000200000000000000
χ2322222222-2-22-2222-2-2-20000-2-22200220022-2-200000000-200000000000000
χ2422222222-2-22-2222-2-2-20000-2-22200-2-200-2-22200000000200000000000000
χ2522-22-2-22-222-2-22-22-2-220000000000000000002i2i−2i−2i0000002-2002i−2i0000000
χ2622-22-2-22-222-2-22-22-2-220000000000000000002i2i−2i−2i000000-2200−2i2i0000000
χ2722-22-2-22-222-2-22-22-2-22000000000000000000−2i−2i2i2i0000002-200−2i2i0000000
χ2822-22-2-22-222-2-22-22-2-22000000000000000000−2i−2i2i2i000000-22002i−2i0000000
χ292-22-22-22-200202-2-200022−2−2002i−2i002i−2i2−22-200i2−i2i2−i222−2−20000000000i2−i2000
χ302-22-22-22-200202-2-200022−2−2002i−2i00−2i2i2−2-2200i2−i2i2−i2−2−2220000000000−i2i2000
χ312-22-22-22-200202-2-200022−2−200−2i2i002i−2i2−2-2200−i2i2−i2i2−2−2220000000000i2−i2000
χ322-22-22-22-200202-2-200022−2−200−2i2i00−2i2i2−22-200−i2i2−i2i222−2−20000000000−i2i2000
χ332-22-22-22-200202-2-2000−2−222002i−2i002i−2i−222-200−i2i2−i2i2−2−2220000000000−i2i2000
χ342-22-22-22-200202-2-2000−2−222002i−2i00−2i2i−22-2200−i2i2−i2i222−2−20000000000i2−i2000
χ352-22-22-22-200202-2-2000−2−22200−2i2i002i−2i−22-2200i2−i2i2−i222−2−20000000000−i2i2000
χ362-22-22-22-200202-2-2000−2−22200−2i2i00−2i2i−222-200i2−i2i2−i2−2−2220000000000i2−i2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-4000000000022−2222−220000000000002i2−2i200002i−2i2i−2i000000000000000
χ39444-4-44-4-4000000000022−2222−22000000000000−2i22i20000−2i2i−2i2i000000000000000
χ40444-4-44-4-40000000000−2222−22220000000000002i2−2i20000−2i2i−2i2i000000000000000
χ41444-4-44-4-40000000000−2222−2222000000000000−2i22i200002i−2i2i−2i000000000000000
χ4244-44-4-44-4444-4-44-4-44-400000000000000000000000000000000000000000
χ4344-44-4-44-4-4-444-44-44-4400000000000000000000000000000000000000000
χ4444-44-4-44-4-4-4-444-4444-400000000000000000000000000000000000000000
χ454-444-4-4-444-404000-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ464-444-4-4-444-404000-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ474-444-4-4-44-440-40004004-4-440000000000000000000000000000000000000
χ484-444-4-4-44-440-4000400-444-40000000000000000000000000000000000000
χ494-44-44-44-400-40-4440002222−22−2200000000−2222000000000000000000000000000
χ504-44-44-44-400-40-444000−22−2222220000000022−22000000000000000000000000000
χ514-4-4444-4-44-40-4000400000000004-40000000000000000000000000000000
χ524-4-4444-4-44-40-400040000000000-440000000000000000000000000000000
χ534-4-4444-4-4-4404000-40000000000000000000000000000000000002i2−2i200000
χ544-4-4444-4-4-4404000-4000000000000000000000000000000000000−2i22i200000
χ554-4-4-4-44440040-4-4400000004-400000000000000000000000000000000000
χ564-4-4-4-44440040-4-440000000-4400000000000000000000000000000000000
χ574-4-4-4-444400-4044-400000000000000000000022−22−22220000000000000000000
χ584-4-4-4-444400-4044-4000000000000000000000−222222−220000000000000000000
χ5988-8-88-8-88000000000000000000000000000000000000000000000000000

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