Finite Group Databasebeta

← Group #340995

Character table — Group #340995

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-111
χ51111111111111111111111-1-1111111-1-1111111-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-111
χ61111111111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-111-111-1-1111-1-1
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1111111-111-1-1111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-111-1-1-1-1-111-11-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-11-1-1111-1-1-1-11-11
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111-111-111-1-1-1-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1-11-1-1-1-11111-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-111-1
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-1-1-1-1-111111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-11-1
χ172222222222-2-2-222-2-2-222220000220000-2-200000000000-2-2002000000000
χ182222222222-2-2-222-2-2-222220000-2-20000-2-2000000000002200-2000000000
χ192222222222-2-2-222-2-2-2-2-2-2-200002200002200000000000-2200-2000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-2000022000000000002-2002000000000
χ2122222222-2-2222-2-22-2-20000222200-2-222000000-2-20000-200000000000000
χ2222222222-2-2222-2-22-2-2000022-2-20022-2-2000000220000-200000000000000
χ2322222222-2-2222-2-22-2-20000-2-22200-2-2-2-2000000220000200000000000000
χ2422222222-2-2222-2-22-2-20000-2-2-2-2002222000000-2-20000200000000000000
χ252-22-2-22-2222-22-2-2-22-2200000000000000002i2i−2i−2i0000000002-202i−2i0000000
χ262-22-2-22-2222-22-2-2-22-2200000000000000002i2i−2i−2i000000000-220−2i2i0000000
χ272-22-2-22-2222-22-2-2-22-220000000000000000−2i−2i2i2i0000000002-20−2i2i0000000
χ282-22-2-22-2222-22-2-2-22-220000000000000000−2i−2i2i2i000000000-2202i−2i0000000
χ292-2-2-2222-20022-200-20022−2−22-200002i−2i002−2i2−i2i2−i22i−2ii2i2−i2−i2000000002−200000
χ302-2-2-2222-20022-200-20022−2−22-20000−2i2i002−2−i2i2−i2i2−2i2i−i2−i2i2i2000000002−200000
χ312-2-2-2222-20022-200-20022−2−2-2200002i−2i002−2i2−i2i2−i2−2i2i−i2−i2i2i200000000−2200000
χ322-2-2-2222-20022-200-20022−2−2-220000−2i2i002−2−i2i2−i2i22i−2ii2i2−i2−i200000000−2200000
χ332-2-2-2222-20022-200-200−2−2222-200002i−2i00−22−i2i2−i2i22i−2i−i2−i2i2i200000000−2200000
χ342-2-2-2222-20022-200-200−2−2222-20000−2i2i00−22i2−i2i2−i2−2i2ii2i2−i2−i200000000−2200000
χ352-2-2-2222-20022-200-200−2−222-2200002i−2i00−22−i2i2−i2i2−2i2ii2i2−i2−i2000000002−200000
χ362-2-2-2222-20022-200-200−2−222-220000−2i2i00−22i2−i2i2−i22i−2i−i2−i2i2i2000000002−200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-44-40004-4000000000004-40000000000000000000000000000000
χ39444-4-4-44-44-40004-400000000000-440000000000000000000000000000000
χ40444-4-4-44-4-44000-4400000000000000000000000000000000000000022−22000
χ41444-4-4-44-4-44000-44000000000000000000000000000000000000000−2222000
χ4244-44-44-4-4004-4-4004000000004-4000000000000000000000000000000000
χ4344-44-44-4-4004-4-400400000000-44000000000000000000000000000000000
χ4444-44-44-4-400-44400-400000000000000000022−22−2222000000000000000000000
χ4544-44-44-4-400-44400-4000000000000000000−222222−22000000000000000000000
χ4644-4-44-4-44000000000022−2222−22000000002i2−2i2000000002i−2i2i−2i000000000000000
χ4744-4-44-4-44000000000022−2222−2200000000−2i22i200000000−2i2i−2i2i000000000000000
χ4844-4-44-4-440000000000−2222−2222000000002i2−2i200000000−2i2i−2i2i000000000000000
χ4944-4-44-4-440000000000−2222−222200000000−2i22i2000000002i−2i2i−2i000000000000000
χ504-4444-4-4-44-4000-44000000000000000000000000022−22−2222000000000000000
χ514-4444-4-4-44-4000-440000000000000000000000000−222222−22000000000000000
χ524-4444-4-4-4-440004-40004-4-440000000000000000000000000000000000000
χ534-4444-4-4-4-440004-4000-444-40000000000000000000000000000000000000
χ544-44-4-44-44444-44-4-4-44-400000000000000000000000000000000000000000
χ554-44-4-44-44-4-44-4444-4-4400000000000000000000000000000000000000000
χ564-44-4-44-44-4-4-44-44444-400000000000000000000000000000000000000000
χ574-4-4-4444-400-4-44004002222−22−220000000000−22220000000000000000000000000
χ584-4-4-4444-400-4-4400400−22−222222000000000022−220000000000000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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