Finite Group Databasebeta

← Group #337183

Character table — Group #337183

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ4111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11111-1111-1-1-1-11111-1-1-1
χ51111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-1111-11
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-11-111-1-1-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1-11111-1-111-1
χ13111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-11111-1
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-11-1-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-111111-1-111-1-11
χ172222222222-2-2-222-2-2-22222220000000000-2-20000000002-2-200000000000
χ182222222222-2-2-222-2-2-22222-2-20000000000-2-2000000000-22200000000000
χ192222222222-2-2-222-2-2-2-2-2-2-222000000000022000000000-2-2200000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-2-200000000002200000000022-200000000000
χ2122222222-2-2222-2-22-2-200000022-2-22222-2-20000000000-200000000000000
χ2222222222-2-2222-2-22-2-200000022-2-2-2-2-2-2220000000000200000000000000
χ2322222222-2-2222-2-22-2-2000000-2-22222-2-2220000000000-200000000000000
χ2422222222-2-2222-2-22-2-2000000-2-222-2-222-2-20000000000200000000000000
χ252-22-22-22-2-2-2-22222-22-200000000000000000022-2-2000000002i−2i00002i−2i000
χ262-22-22-22-2-2-2-22222-22-200000000000000000022-2-200000000−2i2i0000−2i2i000
χ272-22-22-22-2-2-2-22222-22-2000000000000000000-2-222000000002i−2i0000−2i2i000
χ282-22-22-22-2-2-2-22222-22-2000000000000000000-2-22200000000−2i2i00002i−2i000
χ292-2-2-2-222200-22-20020022−2−200002-22-2002-22−22−22−222−2−20000002−20000000
χ302-2-2-2-222200-22-20020022−2−200002-2-2200-222−22−22−2−2−222000000−220000000
χ312-2-2-2-222200-22-20020022−2−20000-222-200-222−2−22−22−2−2220000002−20000000
χ322-2-2-2-222200-22-20020022−2−20000-22-22002-22−2−22−2222−2−2000000−220000000
χ332-2-2-2-222200-22-200200−2−22200002-22-2002-2−22−22−22−2−222000000−220000000
χ342-2-2-2-222200-22-200200−2−22200002-2-2200-22−22−22−2222−2−20000002−20000000
χ352-2-2-2-222200-22-200200−2−2220000-222-200-22−222−22−222−2−2000000−220000000
χ362-2-2-2-222200-22-200200−2−2220000-22-22002-2−222−22−2−2−2220000002−20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-44-40004-400000004-400000000000000000000000000000000000
χ39444-4-44-4-44-40004-40000000-4400000000000000000000000000000000000
χ40444-4-44-4-4-44000-44000000000000000000000000000000000000022−2200000
χ41444-4-44-4-4-44000-440000000000000000000000000000000000000−222200000
χ4244-44-4-44-40044-400-40000000000000000000022−22−22220000000000000000000
χ4344-44-4-44-40044-400-400000000000000000000−222222−220000000000000000000
χ4444-44-4-44-400-4-44004000000004i−4i000000000000000000000000000000000
χ4544-44-4-44-400-4-4400400000000−4i4i000000000000000000000000000000000
χ4644-4-44-4-4400000000002i2−2i22i2−2i20000000022−22000000002i−2i2i−2i000000000000000
χ4744-4-44-4-4400000000002i2−2i22i2−2i200000000−222200000000−2i2i−2i2i000000000000000
χ4844-4-44-4-440000000000−2i22i2−2i22i20000000022−2200000000−2i2i−2i2i000000000000000
χ4944-4-44-4-440000000000−2i22i2−2i22i200000000−2222000000002i−2i2i−2i000000000000000
χ504-444-4-4-444-4000-440004i−4i−4i4i0000000000000000000000000000000000000
χ514-444-4-4-444-4000-44000−4i4i4i−4i0000000000000000000000000000000000000
χ524-444-4-4-44-440004-400000000000000000000000002i2−2i2−2i22i2000000000000000
χ534-444-4-4-44-440004-40000000000000000000000000−2i22i22i2−2i2000000000000000
χ544-44-44-44-4444-4-4-4-444-400000000000000000000000000000000000000000
χ554-44-44-44-444-444-4-4-4-4400000000000000000000000000000000000000000
χ564-44-44-44-4-4-44-4-4444-4400000000000000000000000000000000000000000
χ574-4-4-4-4444004-4400-4002222−22−22000000000000−222200000000000000000000000
χ584-4-4-4-4444004-4400-400−22−22222200000000000022−2200000000000000000000000
χ598-8-8888-8-8000000000000000000000000000000000000000000000000000

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