Finite Group Databasebeta

← Group #338252

Character table — Group #338252

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888224
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11
χ51111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111111111-1
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1111111111-1-1-11111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-11111-111-1-1-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-111-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111-11
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-111-111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-11-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-111-11-1-111111-1-1
χ17222222222-22-22-22-2-2-20000222200-2-2-2-20000002200000-20000000000000
χ18222222222-22-22-22-2-2-2000022-2-200-2-222000000-2-20000020000000000000
χ19222222222-22-22-22-2-2-20000-2-222002222000000-2-200000-20000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-20022-2-2000000220000020000000000000
χ2122222222-22-22-22-22-2-2222200002200000000-2-20000002000-2-2000000000
χ2222222222-22-22-22-22-2-222220000-2-200000000-2-2000000-200022000000000
χ2322222222-22-22-22-22-2-2-2-2-2-20000220000000022000000-2000-22000000000
χ2422222222-22-22-22-22-2-2-2-2-2-20000-2-2000000002200000020002-2000000000
χ2522-222-2-2-2-20-2020200022−2−2002-2002i−2i2i−2ii2i2−i2−i22−200i2i2−i2−i2000000002−200000
χ2622-222-2-2-2-20-2020200022−2−2002-200−2i2i−2i2i−i2−i2i2i22−200−i2−i2i2i2000000002−200000
χ2722-222-2-2-2-20-2020200022−2−200-22002i−2i−2i2ii2i2−i2−i22−200−i2−i2i2i200000000−2200000
χ2822-222-2-2-2-20-2020200022−2−200-2200−2i2i2i−2i−i2−i2i2i22−200i2i2−i2−i200000000−2200000
χ2922-222-2-2-2-20-20202000−2−222002-2002i−2i2i−2i−i2−i2i2i2−2200−i2−i2i2i200000000−2200000
χ3022-222-2-2-2-20-20202000−2−222002-200−2i2i−2i2ii2i2−i2−i2−2200i2i2−i2−i200000000−2200000
χ3122-222-2-2-2-20-20202000−2−22200-22002i−2i−2i2i−i2−i2i2i2−2200i2i2−i2−i2000000002−200000
χ3222-222-2-2-2-20-20202000−2−22200-2200−2i2i2i−2ii2i2−i2−i2−2200−i2−i2i2i2000000002−200000
χ332-2-22-22-2222-2-222-2-22-2000000000000002-22-200000000002i−2i0000002i−2i000
χ342-2-22-22-2222-2-222-2-22-2000000000000002-22-20000000000−2i2i000000−2i2i000
χ352-2-22-22-2222-2-222-2-22-200000000000000-22-2200000000002i−2i000000−2i2i000
χ362-2-22-22-2222-2-222-2-22-200000000000000-22-220000000000−2i2i0000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-404040-40-4004-44-40000000000000000000000000000000000000
χ39444-4-44-4-404040-40-400-44-440000000000000000000000000000000000000
χ40444-4-44-4-40-40-404040000000000000000000000002i2−2i22i2−2i2000000000000000
χ41444-4-44-4-40-40-40404000000000000000000000000−2i22i2−2i22i2000000000000000
χ4244-444-4-4-44040-40-40002222−22−2200000000000000−2222000000000000000000000
χ4344-444-4-4-44040-40-4000−22−2222220000000000000022−22000000000000000000000
χ4444-4-4-4-444000000000022−22−2222000000000000000022−222-2-22000000000000000
χ4544-4-4-4-444000000000022−22−22220000000000000000−2222-222-2000000000000000
χ4644-4-4-4-4440000000000−222222−22000000000000000022−22-222-2000000000000000
χ4744-4-4-4-4440000000000−222222−220000000000000000−22222-2-22000000000000000
χ484-444-4-44-440-40-40400000004i−4i00000000000000000000000000000000000
χ494-444-4-44-440-40-4040000000−4i4i00000000000000000000000000000000000
χ504-444-4-44-4-404040-4000000000000000002i2−2i2−2i22i200000000000000000000000
χ514-444-4-44-4-404040-400000000000000000−2i22i22i2−2i200000000000000000000000
χ524-4-44-44-444-4-444-4-44-4400000000000000000000000000000000000000000
χ534-4-44-44-44-444-4-444-4-4400000000000000000000000000000000000000000
χ544-4-44-44-44-4-444-4-4444-400000000000000000000000000000000000000000
χ554-4-4-4444-4040-40-404000000000000000000000000000000000022−220000000
χ564-4-4-4444-4040-40-4040000000000000000000000000000000000−22220000000
χ574-4-4-4444-40-404040-400000000004-40000000000000000000000000000000
χ584-4-4-4444-40-404040-40000000000-440000000000000000000000000000000
χ598-88-88-8-88000000000000000000000000000000000000000000000000000

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