Finite Group Databasebeta

← Group #338721

Character table — Group #338721

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888824448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1111111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ61111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-11111-1-11-1-1
χ9111111111111111111-1-1-1-111111111-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-111-11-1
χ11111111111111111111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1
χ17222222222-22-2-222-2-2-2000022220022002200-2-200-2-2000000000000-20000000000
χ18222222222-22-2-222-2-2-20000222200-2-200-2-2002200-2-200000000000020000000000
χ19222222222-22-2-222-2-2-20000-2-2-2-2002200-2-200220022000000000000-20000000000
χ20222222222-22-2-222-2-2-20000-2-2-2-200-2-2002200-2-2002200000000000020000000000
χ2122222222-22-222-2-22-2-2222200002200-2-200-2-200-2-20000000000000002000000000
χ2222222222-22-222-2-22-2-222220000-2-20022002200-2-2000000000000000-2000000000
χ2322222222-22-222-2-22-2-2-2-2-2-2000022002200-2-20022000000000000000-2000000000
χ2422222222-22-222-2-22-2-2-2-2-2-20000-2-200-2-2002200220000000000000002000000000
χ25222-2-22-2-2-222-2-2-222-220000000000000000000000002i2i−2i−2i22-2-20000002i−2i0000000
χ26222-2-22-2-2-222-2-2-222-220000000000000000000000002i2i−2i−2i-2-222000000−2i2i0000000
χ27222-2-22-2-2-222-2-2-222-22000000000000000000000000−2i−2i2i2i22-2-2000000−2i2i0000000
χ28222-2-22-2-2-222-2-2-222-22000000000000000000000000−2i−2i2i2i-2-2220000002i−2i0000000
χ2922-22-2-22-2-202002-2000i2i2−i2−i22i2i−2i−2i002i−2i002-20000i2−i2000000i2−i2i2−i222−2−20000002−2000
χ3022-22-2-22-2-202002-2000i2i2−i2−i22i2i−2i−2i00−2i2i00-220000i2−i2000000−i2i2−i2i222−2−2000000−22000
χ3122-22-2-22-2-202002-2000i2i2−i2−i2−2i−2i2i2i002i−2i00-220000i2−i2000000−i2i2−i2i2−2−2220000002−2000
χ3222-22-2-22-2-202002-2000i2i2−i2−i2−2i−2i2i2i00−2i2i002-20000i2−i2000000i2−i2i2−i2−2−222000000−22000
χ3322-22-2-22-2-202002-2000−i2−i2i2i22i2i−2i−2i002i−2i002-20000−i2i2000000−i2i2−i2i2−2−222000000−22000
χ3422-22-2-22-2-202002-2000−i2−i2i2i22i2i−2i−2i00−2i2i00-220000−i2i2000000i2−i2i2−i2−2−2220000002−2000
χ3522-22-2-22-2-202002-2000−i2−i2i2i2−2i−2i2i2i002i−2i00-220000−i2i2000000i2−i2i2−i222−2−2000000−22000
χ3622-22-2-22-2-202002-2000−i2−i2i2i2−2i−2i2i2i00−2i2i002-20000−i2i2000000−i2i2−i2i222−2−20000002−2000
χ372-2-2-2-22220-202-2002002-22-22−22−200002-2002-200002−22−22−200002−22−200002−200000
χ382-2-2-2-22220-202-2002002-22-22−22−20000-2200-2200002−2−22−2200002−22−20000−2200000
χ392-2-2-2-22220-202-2002002-22-2−22−2200002-2002-20000−22−22−220000−22−220000−2200000
χ402-2-2-2-22220-202-2002002-22-2−22−220000-2200-220000−222−22−20000−22−2200002−200000
χ412-2-2-2-22220-202-200200-22-222−22−200002-200-2200002−2−22−220000−22−2200002−200000
χ422-2-2-2-22220-202-200200-22-222−22−20000-22002-200002−22−22−20000−22−220000−2200000
χ432-2-2-2-22220-202-200200-22-22−22−2200002-200-220000−222−22−200002−22−20000−2200000
χ442-2-2-2-22220-202-200200-22-22−22−220000-22002-20000−22−22−2200002−22−200002−200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-444-4-4-44-444-400000000000000000000000000000000000000000000000
χ47444-4-44-4-44-4-4444-4-4-4400000000000000000000000000000000000000000000000
χ48444-4-44-4-4-4-4444-44-44-400000000000000000000000000000000000000000000000
χ4944-44-4-44-440-400-440002i22i2−2i2−2i20000000000000000−2i22i20000000000000000000000000
χ5044-44-4-44-440-400-44000−2i2−2i22i22i200000000000000002i2−2i20000000000000000000000000
χ5144-4-44-4-4440400-4-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5244-4-44-4-4440400-4-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5344-4-44-4-44-40-400440000000000000000000004-4000000000000000000000000000
χ5444-4-44-4-44-40-40044000000000000000000000-44000000000000000000000000000
χ554-44-44-44-400000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ564-44-44-44-400000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ574-44-44-44-40000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ584-44-44-44-40000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ594-4-4444-4-40404-400-400000000004-40000000000000000000000000000000000000
χ604-4-4444-4-40404-400-40000000000-440000000000000000000000000000000000000
χ614-4-4444-4-40-40-44004000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ624-4-4444-4-40-40-4400400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ634-4-4-4-4444040-4400-400000022−2222−2200000000000000−222200000000000000000000000
χ644-4-4-4-4444040-4400-4000000−2222−22220000000000000022−2200000000000000000000000
χ658-888-8-8-88000000000000000000000000000000000000000000000000000000000

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