Finite Group Databasebeta

← Group #339019

Character table — Group #339019

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-111
χ51111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-111
χ61111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11-1-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111-11-1-1111111-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11-11
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-1111-111-1-1-1-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-1-111-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11111-1
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-11111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-111111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1111-1-111-11-1
χ17222222222-22-2-222-2-2-200002222-2-2000022-2-200000000-200000000000000
χ18222222222-22-2-222-2-2-2000022-2-2220000-2-22200000000-200000000000000
χ19222222222-22-2-222-2-2-20000-2-222-2-20000-2-22200000000200000000000000
χ20222222222-22-2-222-2-2-20000-2-2-2-222000022-2-200000000200000000000000
χ2122222222-22-222-2-22-2-2222200000022-2-20000000000000200-2-2000000000
χ2222222222-22-222-2-22-2-22222000000-2-2-2-20000000000000-20022000000000
χ2322222222-22-222-2-22-2-2-2-2-2-200000022220000000000000-200-22000000000
χ2422222222-22-222-2-22-2-2-2-2-2-2000000-2-22200000000000002002-2000000000
χ252-222-22-2-2-222-2-2-222-2200000000000000000022-2-20000002i−2i002i−2i0000000
χ262-222-22-2-2-222-2-2-222-2200000000000000000022-2-2000000−2i2i00−2i2i0000000
χ272-222-22-2-2-222-2-2-222-22000000000000000000-2-2220000002i−2i00−2i2i0000000
χ282-222-22-2-2-222-2-2-222-22000000000000000000-2-222000000−2i2i002i−2i0000000
χ292-22-2-2-222-20-2002200022−2−22-2002-2002−2002-22−22−222−2−200000000002−2000
χ302-22-2-2-222-20-2002200022−2−22-200-22002−200-22−22−22−2−22200000000002−2000
χ312-22-2-2-222-20-2002200022−2−2-22002-2002−200-222−22−2−2−2220000000000−22000
χ322-22-2-2-222-20-2002200022−2−2-2200-22002−2002-2−22−2222−2−20000000000−22000
χ332-22-2-2-222-20-20022000−2−2222-2002-200−22002-2−22−22−2−2220000000000−22000
χ342-22-2-2-222-20-20022000−2−2222-200-2200−2200-222−22−222−2−20000000000−22000
χ352-22-2-2-222-20-20022000−2−222-22002-200−2200-22−22−2222−2−200000000002−2000
χ362-22-2-2-222-20-20022000−2−222-2200-2200−22002-22−22−2−2−22200000000002−2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-440-400-4400000000000000000000022−22−22220000000000000000000
χ39444-44-4-4-440-400-44000000000000000000000−222222−220000000000000000000
χ40444-44-4-4-4-404004-40000000004-4000000000000000000000000000000000
χ41444-44-4-4-4-404004-4000000000-44000000000000000000000000000000000
χ4244-44-4-44-4000000000022−2222−2200000000002i2−2i20000002i−2i2i−2i000000000000000
χ4344-44-4-44-4000000000022−2222−220000000000−2i22i2000000−2i2i−2i2i000000000000000
χ4444-44-4-44-40000000000−2222−222200000000002i2−2i2000000−2i2i−2i2i000000000000000
χ4544-44-4-44-40000000000−2222−22220000000000−2i22i20000002i−2i2i−2i000000000000000
χ4644-4-4-44-440404-400-40000000000004i−4i00000000000000000000000000000
χ4744-4-4-44-440404-400-4000000000000−4i4i00000000000000000000000000000
χ4844-4-4-44-440-40-4400400000000000000000000000000000000000022−2200000
χ4944-4-4-44-440-40-44004000000000000000000000000000000000000−222200000
χ504-444-44-4-444-4-4-44-444-400000000000000000000000000000000000000000
χ514-444-44-4-44-4-4444-4-4-4400000000000000000000000000000000000000000
χ524-444-44-4-4-4-4444-44-44-400000000000000000000000000000000000000000
χ534-44-4-4-44440400-4-40002222−22−2200000000−2222000000000000000000000000000
χ544-44-4-4-44440400-4-4000−22−2222220000000022−22000000000000000000000000000
χ554-4-4-4444-4040-4400-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ564-4-4-4444-4040-4400-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ574-4-4-4444-40-404-4004004-4-440000000000000000000000000000000000000
χ584-4-4-4444-40-404-400400-444-40000000000000000000000000000000000000
χ598-8-888-8-88000000000000000000000000000000000000000000000000000

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