Finite Group Databasebeta

← Group #340994

Character table — Group #340994

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-11-11-1-11-1-1-1-1-1-11-11
χ4111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111-111-1-111-11-1
χ51111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-11
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111-11-1-1111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-111-1-1-1-1-1111-1-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1-1-1-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-111-111-1-1-1-1-1-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-11-1-1-1-11111-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11-1-1-1-1-1-1-11111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-11-1-1
χ17222222222-2-2222-2-2-2-20000222200-2-2-2-20000002200000-20000000000000
χ18222222222-2-2222-2-2-2-2000022-2-200-2-222000000-2-20000020000000000000
χ19222222222-2-2222-2-2-2-20000-2-222002222000000-2-200000-20000000000000
χ20222222222-2-2222-2-2-2-20000-2-2-2-20022-2-2000000220000020000000000000
χ2122222222-222-2-2-222-2-222220000220000-2-20000000000-20-2002000000000
χ2222222222-222-2-2-222-2-222220000-2-20000-2-2000000000020200-2000000000
χ2322222222-222-2-2-222-2-2-2-2-2-20000220000220000000000-20200-2000000000
χ2422222222-222-2-2-222-2-2-2-2-2-20000-2-2000022000000000020-2002000000000
χ252-222-2-22-2200-2-220000i2i2−i2−i2002-2002i−2i2i−2ii2−i222−2−20022−2−200000000i2−i200000
χ262-222-2-22-2200-2-220000i2i2−i2−i2002-200−2i2i−2i2ii2−i2−2−22200−2−22200000000i2−i200000
χ272-222-2-22-2200-2-220000i2i2−i2−i200-22002i−2i−2i2ii2−i222−2−200−2−22200000000−i2i200000
χ282-222-2-22-2200-2-220000i2i2−i2−i200-2200−2i2i2i−2ii2−i2−2−2220022−2−200000000−i2i200000
χ292-222-2-22-2200-2-220000−i2−i2i2i2002-2002i−2i2i−2i−i2i2−2−22200−2−22200000000−i2i200000
χ302-222-2-22-2200-2-220000−i2−i2i2i2002-200−2i2i−2i2i−i2i222−2−20022−2−200000000−i2i200000
χ312-222-2-22-2200-2-220000−i2−i2i2i200-22002i−2i−2i2i−i2i2−2−2220022−2−200000000i2−i200000
χ322-222-2-22-2200-2-220000−i2−i2i2i200-2200−2i2i2i−2i−i2i222−2−200−2−22200000000i2−i200000
χ332-22-2-22-22-2222-22-2-2-2200000000000000002i−2i2i−2i0000000002-202i−2i0000000
χ342-22-2-22-22-2222-22-2-2-2200000000000000002i−2i2i−2i000000000-220−2i2i0000000
χ352-22-2-22-22-2222-22-2-2-220000000000000000−2i2i−2i2i0000000002-20−2i2i0000000
χ362-22-2-22-22-2222-22-2-2-220000000000000000−2i2i−2i2i000000000-2202i−2i0000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-44004-4-4000000004-400000000000000000000000000000000000
χ39444-44-4-4-44004-4-400000000-4400000000000000000000000000000000000
χ40444-44-4-4-4-400-444000000000000000000002i2−2i2−2i22i2000000000000000000000
χ41444-44-4-4-4-400-44400000000000000000000−2i22i22i2−2i2000000000000000000000
χ4244-44-4-4-44000000000022−2222−2200000000000000002i2−2i22i−2i2i−2i000000000000000
χ4344-44-4-4-44000000000022−2222−220000000000000000−2i22i2−2i2i−2i2i000000000000000
χ4444-44-4-4-440000000000−2222−222200000000000000002i2−2i2−2i2i−2i2i000000000000000
χ4544-44-4-4-440000000000−2222−22220000000000000000−2i22i22i−2i2i−2i000000000000000
χ4644-4-4-444-404-40004-4000000000000000000000000000000000000002i2−2i2000
χ4744-4-4-444-404-40004-400000000000000000000000000000000000000−2i22i2000
χ4844-4-4-444-40-44000-4400000000004i−4i0000000000000000000000000000000
χ4944-4-4-444-40-44000-440000000000−4i4i0000000000000000000000000000000
χ504-444-4-44-4-40044-400002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ514-444-4-44-4-40044-40000−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ524-44-4-44-44444-44-4-4-44-400000000000000000000000000000000000000000
χ534-44-4-44-444-4-4-44-444-4400000000000000000000000000000000000000000
χ544-44-4-44-44-4-4-44-44444-400000000000000000000000000000000000000000
χ554-4-4444-4-404-4000-44004i−4i−4i4i0000000000000000000000000000000000000
χ564-4-4444-4-404-4000-4400−4i4i4i−4i0000000000000000000000000000000000000
χ574-4-4444-4-40-440004-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ584-4-4444-4-40-440004-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ598-8-8-88-888000000000000000000000000000000000000000000000000000

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