Finite Group Databasebeta

← Group #340697

Character table — Group #340697

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-11-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111111111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111-11-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1111-11
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-111-111
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1-11111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-11-1
χ17222222222-2-22-222-2-2-2222200000022000000-2-20000002-20-200000000000
χ18222222222-2-22-222-2-2-22222000000-2-2000000-2-2000000-220200000000000
χ19222222222-2-22-222-2-2-2-2-2-2-20000002200000022000000-220-200000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2000000-2-2000000220000002-20200000000000
χ2122222222-222-22-2-22-2-200002222-2-20022000000-2-2000000-2000000000000
χ2222222222-222-22-2-22-2-2000022-2-2-2-200-2-2000000220000002000000000000
χ2322222222-222-22-2-22-2-20000-2-2222200-2-200000022000000-2000000000000
χ2422222222-222-22-2-22-2-20000-2-2-2-2220022000000-2-20000002000000000000
χ252-222-2-2-22-2222-2-22-2-22000000000000002i2i−2i−2i0000000000002-200002i−2i000
χ262-222-2-2-22-2222-2-22-2-22000000000000002i2i−2i−2i000000000000-220000−2i2i000
χ272-222-2-2-22-2222-2-22-2-2200000000000000−2i−2i2i2i0000000000002-20000−2i2i000
χ282-222-2-2-22-2222-2-22-2-2200000000000000−2i−2i2i2i000000000000-2200002i−2i000
χ292-2-22-222-202-20200-20022−2−2002i−2i2-200002−22−22−22i−2ii2i2−i2−i2000000i2−i20000000
χ302-2-22-222-202-20200-20022−2−2002i−2i-220000−22−222−2−2i2i−i2−i2i2i2000000i2−i20000000
χ312-2-22-222-202-20200-20022−2−200−2i2i2-200002−22−22−2−2i2i−i2−i2i2i2000000−i2i20000000
χ322-2-22-222-202-20200-20022−2−200−2i2i-220000−22−222−22i−2ii2i2−i2−i2000000−i2i20000000
χ332-2-22-222-202-20200-200−2−222002i−2i2-20000−22−22−222i−2i−i2−i2i2i2000000−i2i20000000
χ342-2-22-222-202-20200-200−2−222002i−2i-2200002−22−2−22−2i2ii2i2−i2−i2000000−i2i20000000
χ352-2-22-222-202-20200-200−2−22200−2i2i2-20000−22−22−22−2i2ii2i2−i2−i2000000i2−i20000000
χ362-2-22-222-202-20200-200−2−22200−2i2i-2200002−22−2−222i−2i−i2−i2i2i2000000i2−i20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-440040-4-40004-44-40000000000000000000000000000000000000
χ39444-4-44-4-440040-4-4000-44-440000000000000000000000000000000000000
χ40444-4-44-4-4-400-404400000000000000000000000002i2−2i22i2−2i2000000000000000
χ41444-4-44-4-4-400-40440000000000000000000000000−2i22i2−2i22i2000000000000000
χ4244-444-4-4-404-40-400400000000000000002i2−2i2−2i22i200000000000000000000000
χ4344-444-4-4-404-40-40040000000000000000−2i22i22i2−2i200000000000000000000000
χ4444-444-4-4-40-440400-40000004-400000000000000000000000000000000000
χ4544-444-4-4-40-440400-4000000-4400000000000000000000000000000000000
χ464-444-4-4-44444-4-44-4-44-400000000000000000000000000000000000000000
χ474-444-4-4-444-4-4-444-44-4400000000000000000000000000000000000000000
χ484-444-4-4-44-4-4-444-4444-400000000000000000000000000000000000000000
χ494-44-44-44-4400-40-4400000000000004i−4i00000000000000000000000000000
χ504-44-44-44-4400-40-440000000000000−4i4i00000000000000000000000000000
χ514-44-44-44-4-400404-400000000000000000000000000000000000002i2−2i200000
χ524-44-44-44-4-400404-40000000000000000000000000000000000000−2i22i200000
χ534-4-44-444-40-440-4004002222−22−2200000000000000−2222000000000000000000000
χ544-4-44-444-40-440-400400−22−2222220000000000000022−22000000000000000000000
χ554-4-4-444-44000000000022−22−22220000000022−22000000002-2-22000000000000000
χ564-4-4-444-44000000000022−22−222200000000−222200000000-222-2000000000000000
χ574-4-4-444-440000000000−222222−220000000022−2200000000-222-2000000000000000
χ584-4-4-444-440000000000−222222−2200000000−2222000000002-2-22000000000000000
χ5988-8-8-8-888000000000000000000000000000000000000000000000000000

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