Finite Group Databasebeta

← Group #340171

Character table — Group #340171

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-11111-1-1-1-11111111-111-1-1-1-11111-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-111-1-111-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111-111
χ11111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1111-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-111-111-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-11111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-11-1-1-1-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-111111-1-111-11-1
χ172222222222-2-2-222-2-2-222220022000000-2-2000000000020-2-200000000000
χ182222222222-2-2-222-2-2-2222200-2-2000000-2-20000000000-202200000000000
χ192222222222-2-2-222-2-2-2-2-2-2-20022000000220000000000-20-2200000000000
χ202222222222-2-2-222-2-2-2-2-2-2-200-2-2000000220000000000202-200000000000
χ2122222222-2-2222-2-22-2-200002200-2-222-2-20000002200000-20000000000000
χ2222222222-2-2222-2-22-2-200002200-2-2-2-222000000-2-20000020000000000000
χ2322222222-2-2222-2-22-2-20000-2-200222222000000-2-200000-20000000000000
χ2422222222-2-2222-2-22-2-20000-2-20022-2-2-2-2000000220000020000000000000
χ252-22-2-22-22-2-2-2-222222-2000000000000000022-2-200000000002-200002-2000
χ262-22-2-22-22-2-2-2-222222-2000000000000000022-2-20000000000-220000-22000
χ272-22-2-22-22-2-2-2-222222-20000000000000000-2-22200000000002-20000-22000
χ282-22-2-22-22-2-2-2-222222-20000000000000000-2-2220000000000-2200002-2000
χ292-2-22-2-222002-2-20020022−2−22-200002-2002−22−22−22-222−2−20000002−20000000
χ302-2-22-2-222002-2-20020022−2−22-20000-22002−22−22−2-22−2−222000000−220000000
χ312-2-22-2-222002-2-20020022−2−2-2200002-2002−2−22−22-22−2−2220000002−20000000
χ322-2-22-2-222002-2-20020022−2−2-220000-22002−2−22−222-222−2−2000000−220000000
χ332-2-22-2-222002-2-200200−2−2222-200002-200−22−22−222-2−2−222000000−220000000
χ342-2-22-2-222002-2-200200−2−2222-20000-2200−22−22−22-2222−2−20000002−20000000
χ352-2-22-2-222002-2-200200−2−222-2200002-200−222−22−2-2222−2−2000000−220000000
χ362-2-22-2-222002-2-200200−2−222-220000-2200−222−22−22-2−2−2220000002−20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-44-44-4-44-40004-4000000000000000000000000022−2222−22000000000000000
χ3944-44-44-4-44-40004-40000000000000000000000000−2222−2222000000000000000
χ4044-44-44-4-4-44000-440004-44-40000000000000000000000000000000000000
χ4144-44-44-4-4-44000-44000-44-440000000000000000000000000000000000000
χ4244-4-44-4-44004-4400-400000000004i−4i0000000000000000000000000000000
χ4344-4-44-4-44004-4400-40000000000−4i4i0000000000000000000000000000000
χ4444-4-44-4-4400-44-400400000000000000000022−22−2222000000000000000000000
χ4544-4-44-4-4400-44-4004000000000000000000−222222−22000000000000000000000
χ464-4444-4-4-4000000000022−22−22220000000022−22000000002-2-22000000000000000
χ474-4444-4-4-4000000000022−22−222200000000−222200000000-222-2000000000000000
χ484-4444-4-4-40000000000−222222−220000000022−2200000000-222-2000000000000000
χ494-4444-4-4-40000000000−222222−2200000000−2222000000002-2-22000000000000000
χ504-44-4-44-444444-4-4-4-44-400000000000000000000000000000000000000000
χ514-44-4-44-4444-4-44-4-44-4400000000000000000000000000000000000000000
χ524-44-4-44-44-4-444-444-4-4400000000000000000000000000000000000000000
χ534-4-44-4-44400-44400-4002222−22−220000000000−22220000000000000000000000000
χ544-4-44-4-44400-44400-400−22−222222000000000022−220000000000000000000000000
χ554-4-4-4444-44-4000-4400000000000000000000000000000000000002i2−2i200000
χ564-4-4-4444-44-4000-440000000000000000000000000000000000000−2i22i200000
χ574-4-4-4444-4-440004-40000000004i−4i000000000000000000000000000000000
χ584-4-4-4444-4-440004-4000000000−4i4i000000000000000000000000000000000
χ59888-8-8-88-8000000000000000000000000000000000000000000000000000

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