Finite Group Databasebeta

← Group #337990

Character table — Group #337990

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-111111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-111-11-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111111-1-1111-1-111-1-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1-1-1-111-1-1111-11
χ13111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-111-1-11-1-111-1-11-11
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11111-111-1-111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-111-1-11-1-1-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11111-11111-1-1-11-1
χ17222222222-22-22-22-2-2-222222200000000-2-20000000000-22-2000000000000
χ18222222222-22-22-22-2-2-22222-2-200000000-2-200000000002-22000000000000
χ19222222222-22-22-22-2-2-2-2-2-2-22200000000220000000000-2-22000000000000
χ20222222222-22-22-22-2-2-2-2-2-2-2-2-20000000022000000000022-2000000000000
χ2122222222-22-22-22-22-2-20000002222-2-222000000-2-2000000000-2000000000
χ2222222222-22-22-22-22-2-200000022-2-2-2-2-2-2000000220000000002000000000
χ2322222222-22-22-22-22-2-2000000-2-22222-2-200000022000000000-2000000000
χ2422222222-22-22-22-22-2-2000000-2-2-2-22222000000-2-20000000002000000000
χ252-222-2-2-2202020-20-20022−2−200002i−2i2-2002−222−2−22i−2ii2i2−i2−i2000000i2−i20000000
χ262-222-2-2-2202020-20-20022−2−200002i−2i-22002−2−2−222−2i2i−i2−i2i2i2000000i2−i20000000
χ272-222-2-2-2202020-20-20022−2−20000−2i2i2-2002−222−2−2−2i2i−i2−i2i2i2000000−i2i20000000
χ282-222-2-2-2202020-20-20022−2−20000−2i2i-22002−2−2−2222i−2ii2i2−i2−i2000000−i2i20000000
χ292-222-2-2-2202020-20-200−2−22200002i−2i2-200−22−2−2222i−2i−i2−i2i2i2000000−i2i20000000
χ302-222-2-2-2202020-20-200−2−22200002i−2i-2200−2222−2−2−2i2ii2i2−i2−i2000000−i2i20000000
χ312-222-2-2-2202020-20-200−2−2220000−2i2i2-200−22−2−222−2i2ii2i2−i2−i2000000i2−i20000000
χ322-222-2-2-2202020-20-200−2−2220000−2i2i-2200−2222−2−22i−2i−i2−i2i2i2000000i2−i20000000
χ332-2-2-2-222222-2-222-2-22-200000000000000002i−2i2i−2i0000000002i−2i0002-200000
χ342-2-2-2-222222-2-222-2-22-200000000000000002i−2i2i−2i000000000−2i2i000-2200000
χ352-2-2-2-222222-2-222-2-22-20000000000000000−2i2i−2i2i0000000002i−2i000-2200000
χ362-2-2-2-222222-2-222-2-22-20000000000000000−2i2i−2i2i000000000−2i2i0002-200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-4000000000022−2222−220000000022−22000000002-22-2000000000000000
χ39444-4-44-4-4000000000022−2222−2200000000−222200000000-22-22000000000000000
χ40444-4-44-4-40000000000−2222−22220000000022−2200000000-22-22000000000000000
χ41444-4-44-4-40000000000−2222−222200000000−2222000000002-22-2000000000000000
χ4244-44-4-44-440-40-40400000000000000000000000000000000000000022−22000
χ4344-44-4-44-440-40-404000000000000000000000000000000000000000−2222000
χ4444-44-4-44-4-404040-400000004-400000000000000000000000000000000000
χ4544-44-4-44-4-404040-40000000-4400000000000000000000000000000000000
χ4644-4-44-4-44040-40-4040000000000000000002i2−2i2−2i22i2000000000000000000000
χ4744-4-44-4-44040-40-404000000000000000000−2i22i22i2−2i2000000000000000000000
χ4844-4-44-4-440-404040-4000000004i−4i000000000000000000000000000000000
χ4944-4-44-4-440-404040-400000000−4i4i000000000000000000000000000000000
χ504-444-4-4-440-40-40404002222−22−220000000000−22220000000000000000000000000
χ514-444-4-4-440-40-4040400−22−222222000000000022−220000000000000000000000000
χ524-44-44-44-44040-40-40004-4-440000000000000000000000000000000000000
χ534-44-44-44-44040-40-4000-444-40000000000000000000000000000000000000
χ544-44-44-44-4-40-4040400000000000000000000000002i2−2i2−2i22i2000000000000000
χ554-44-44-44-4-40-404040000000000000000000000000−2i22i22i2−2i2000000000000000
χ564-4-4-4-44444-4-444-4-44-4400000000000000000000000000000000000000000
χ574-4-4-4-4444-444-4-444-4-4400000000000000000000000000000000000000000
χ584-4-4-4-4444-4-444-4-4444-400000000000000000000000000000000000000000
χ598-8-8888-8-8000000000000000000000000000000000000000000000000000

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