Finite Group Databasebeta

← Group #348543

Character table — Group #348543

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244444444488888888888822444444444488888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-111-1-1-1-1-1-11-11-1-11-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111-111-1-1-1-1-1-11-11-1-11-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111-1-11111-1-1-11-1-111-1-1-1-1-11-1-1-1-11111-1-111-1-11-11-11-1
χ61111111111111111111-1-11111-1-1-11-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-111-11-11-11
χ71111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-11111-1-1-111-1-11
χ81111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111-1-1111-1-111-1
χ9111111111111111-1-1-1-111-1-1-1-111-11-1-111-1-1-1-1-111111-1-1-1-1111111-1-1-1-111
χ10111111111111111-1-1-1-111-1-1-1-111-11-1-111-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1
χ11111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11-1-111111-1-1111111-1-1-1-1
χ12111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-11111
χ13111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1
χ14111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11-1-111-111111111-1-11-1-11-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11-1-111-1111111-1-111-111-11-1
χ17222222222-22-2-2-2-2000000000000222-22-222-2-2-2-200000000000000000000
χ18222222222-22-2-2-2-20000000000002-22-2-22-2-222-2200000000000000000000
χ19222222222-22-2-2-2-2000000000000-22-222-2-2-2222-200000000000000000000
χ20222222222-22-2-2-2-2000000000000-2-2-22-2222-2-22200000000000000000000
χ21222222-2-2-22-22-2-220000220000-2-20000002-22-200200-222-2-2000000000000
χ22222222-2-2-22-22-2-220000220000-2-2000000-22-2200200-2-2-222000000000000
χ23222222-2-2-22-22-2-220000-2-20000220000002-22-200-2002-2-222000000000000
χ24222222-2-2-22-22-2-220000-2-2000022000000-22-2200-200222-2-2000000000000
χ25222222-2-2-2-2-2-222-22i2i−2i−2i002i2i−2i−2i000000002-2-220002i−2i000002i−2i0000000000
χ26222222-2-2-2-2-2-222-22i2i−2i−2i002i2i−2i−2i00000000-222-2000−2i2i00000−2i2i0000000000
χ27222222-2-2-2-2-2-222-2−2i−2i2i2i00−2i−2i2i2i000000002-2-22000−2i2i00000−2i2i0000000000
χ28222222-2-2-2-2-2-222-2−2i−2i2i2i00−2i−2i2i2i00000000-222-20002i−2i000002i−2i0000000000
χ292222-2-22-2-22222-2-2222222-2-2-2-2-2-220-2-200000020-20020000000000000000
χ302222-2-22-2-22222-2-22222-2-2-2-2-2-222-2022000000-20200-20000000000000000
χ312222-2-22-2-22222-2-2-2-2-2-2222222-2-2-2022000000-20-20020000000000000000
χ322222-2-22-2-22222-2-2-2-2-2-2-2-222222220-2-200000020200-20000000000000000
χ332222-2-22-2-2-22-2-22200000000000020-22000000-2002i−2i02i−2i2i−2i−2i2i0000000000
χ342222-2-22-2-2-22-2-22200000000000020-22000000-200−2i2i0−2i2i−2i2i2i−2i0000000000
χ352222-2-22-2-2-22-2-222000000000000-202-20000002002i−2i0−2i2i−2i2i−2i2i0000000000
χ362222-2-22-2-2-22-2-222000000000000-202-2000000200−2i2i02i−2i2i−2i2i−2i0000000000
χ372222-2-2-2222-22-22-20000220000220200-2-2000002-222-20000-2-20000000000
χ382222-2-2-2222-22-22-20000220000220-2002200000-2-2-2-2-20000220000000000
χ392222-2-2-2222-22-22-20000-2-20000-2-20200-2-20000022-2-220000220000000000
χ402222-2-2-2222-22-22-20000-2-20000-2-20-2002200000-222220000-2-20000000000
χ412222-2-2-222-2-2-22-222i2i−2i−2i00−2i−2i2i2i000200-2200000-200002i−2i−2i2i000000000000
χ422222-2-2-222-2-2-22-222i2i−2i−2i00−2i−2i2i2i000-2002-20000020000−2i2i2i−2i000000000000
χ432222-2-2-222-2-2-22-22−2i−2i2i2i002i2i−2i−2i000200-2200000-20000−2i2i2i−2i000000000000
χ442222-2-2-222-2-2-22-22−2i−2i2i2i002i2i−2i−2i000-2002-200000200002i−2i−2i2i000000000000
χ4544-4-44-444-40-4000022−2222−220022−2222−220000000000000000000000000000000000
χ4644-4-44-444-40-40000−2222−222200−2222−22220000000000000000000000000000000000
χ4744-4-44-4-4-440400002i2−2i2−2i22i2002i2−2i2−2i22i20000000000000000000000000000000000
χ4844-4-44-4-4-44040000−2i22i22i2−2i200−2i22i22i2−2i20000000000000000000000000000000000
χ4944-4-4-444-440-4000022−2222−2200−2222−22220000000000000000000000000000000000
χ5044-4-4-444-440-40000−2222−22220022−2222−220000000000000000000000000000000000
χ5144-4-4-44-44-40400002i2−2i2−2i22i200−2i22i22i2−2i20000000000000000000000000000000000
χ5244-4-4-44-44-4040000−2i22i22i2−2i2002i2−2i2−2i22i20000000000000000000000000000000000
χ534-4-440000040-400000004-400000000000000000000000000002i−2i2i−2i000000
χ544-4-440000040-400000004-40000000000000000000000000000−2i2i−2i2i000000
χ554-4-440000040-40000000-4400000000000000000000000000002i−2i−2i2i000000
χ564-4-440000040-40000000-440000000000000000000000000000−2i2i2i−2i000000
χ578-88-800000000000000000000042−4200000000000000000000000000000000
χ588-88-8000000000000000000000−424200000000000000000000000000000000
χ598-8-8800000-80800000000000000000000000000000000000000000000000

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