Finite Group Databasebeta

← Group #333859

Character table — Group #333859

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888224444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-11-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11-1-1
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-111
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-11111111-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11-11
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1111111-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-11111-1-1-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-1-111-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-11-1
χ17222222222-22-2-222-2-2-2000022-2-222000022-2-20000000000-2000000000000
χ18222222222-22-2-222-2-2-2000022-2-2-2-20000-2-22200000000002000000000000
χ19222222222-22-2-222-2-2-20000-2-222220000-2-2220000000000-2000000000000
χ20222222222-22-2-222-2-2-20000-2-222-2-2000022-2-200000000002000000000000
χ2122222222-22-222-2-22-2-2222200000022-2-2000000000000000-2-22000000000
χ2222222222-22-222-2-22-2-22222000000-2-2-2-200000000000000022-2000000000
χ2322222222-22-222-2-22-2-2-2-2-2-20000002222000000000000000-22-2000000000
χ2422222222-22-222-2-22-2-2-2-2-2-2000000-2-2220000000000000002-22000000000
χ252-22-222-2-2-20-2002200022−2−22-2002i−2i002−22i−2i0022−2−2i2i2−i2−i20000000000i2−i2000
χ262-22-222-2-2-20-2002200022−2−22-200−2i2i002−2−2i2i0022−2−2−i2−i2i2i20000000000−i2i2000
χ272-22-222-2-2-20-2002200022−2−2-22002i−2i002−2−2i2i00−2−222−i2−i2i2i20000000000i2−i2000
χ282-22-222-2-2-20-2002200022−2−2-2200−2i2i002−22i−2i00−2−222i2i2−i2−i20000000000−i2i2000
χ292-22-222-2-2-20-20022000−2−2222-2002i−2i00−222i−2i00−2−222−i2−i2i2i20000000000−i2i2000
χ302-22-222-2-2-20-20022000−2−2222-200−2i2i00−22−2i2i00−2−222i2i2−i2−i20000000000i2−i2000
χ312-22-222-2-2-20-20022000−2−222-22002i−2i00−22−2i2i0022−2−2i2i2−i2−i20000000000−i2i2000
χ322-22-222-2-2-20-20022000−2−222-2200−2i2i00−222i−2i0022−2−2−i2−i2i2i20000000000i2−i2000
χ332-2-2-22-222-222-2-2-222-220000000000000000002-22-200002-20000002-200000
χ342-2-2-22-222-222-2-2-222-220000000000000000002-22-20000-22000000-2200000
χ352-2-2-22-222-222-2-2-222-22000000000000000000-22-2200002-2000000-2200000
χ362-2-2-22-222-222-2-2-222-22000000000000000000-22-220000-220000002-200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-444-4-4-440-400-4400000000000000000000022−22−22220000000000000000000
χ3944-444-4-4-440-400-44000000000000000000000−222222−220000000000000000000
χ4044-444-4-4-4-404004-40000000004-4000000000000000000000000000000000
χ4144-444-4-4-4-404004-4000000000-44000000000000000000000000000000000
χ4244-4-4-444-40404-400-4004-44-40000000000000000000000000000000000000
χ4344-4-4-444-40404-400-400-44-440000000000000000000000000000000000000
χ4444-4-4-444-40-40-440040000000000000000000000002i2−2i22i2−2i2000000000000000
χ4544-4-4-444-40-40-44004000000000000000000000000−2i22i2−2i22i2000000000000000
χ464-444-4-44-4040-4400-4000000000000000000000000000000000022−220000000
χ474-444-4-44-4040-4400-40000000000000000000000000000000000−22220000000
χ484-444-4-44-40-404-40040000000000004i−4i00000000000000000000000000000
χ494-444-4-44-40-404-4004000000000000−4i4i00000000000000000000000000000
χ504-44-444-4-440400-4-40002222−22−2200000000−2222000000000000000000000000000
χ514-44-444-4-440400-4-4000−22−2222220000000022−22000000000000000000000000000
χ524-4-44-44-44000000000022−22−222200000000000022−2200002-2-22000000000000000
χ534-4-44-44-44000000000022−22−2222000000000000−22220000-222-2000000000000000
χ544-4-44-44-440000000000−222222−2200000000000022−220000-222-2000000000000000
χ554-4-44-44-440000000000−222222−22000000000000−222200002-2-22000000000000000
χ564-4-4-44-44444-4-4-44-444-400000000000000000000000000000000000000000
χ574-4-4-44-4444-4-4444-4-4-4400000000000000000000000000000000000000000
χ584-4-4-44-444-4-4444-44-44-400000000000000000000000000000000000000000
χ59888-8-8-8-88000000000000000000000000000000000000000000000000000

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