Finite Group Databasebeta

← Group #341949

Character table — Group #341949

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888224444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ51111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111111111-1
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-111111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-1-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-11111-1-11-11
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-11-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11-111-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-11111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-11-1-1
χ17222222222-22-22-22-2-2-20000222200-2-222000000-2-2000000-2000000000000
χ18222222222-22-22-22-2-2-2000022-2-200-2-2-2-2000000220000002000000000000
χ19222222222-22-22-22-2-2-20000-2-2220022-2-200000022000000-2000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-2002222000000-2-20000002000000000000
χ2122222222-22-22-22-22-2-2222200002200000000-2-2000000000-22-2000000000
χ2222222222-22-22-22-22-2-222220000-2-200000000-2-20000000002-22000000000
χ2322222222-22-22-22-22-2-2-2-2-2-20000220000000022000000000-2-22000000000
χ2422222222-22-22-22-22-2-2-2-2-2-20000-2-2000000002200000000022-2000000000
χ252222-2-2-2-222-2-222-2-22-20000000000000022-2-2000000002-200002-20000000
χ262222-2-2-2-222-2-222-2-22-20000000000000022-2-200000000-220000-220000000
χ272222-2-2-2-222-2-222-2-22-200000000000000-2-222000000002-20000-220000000
χ282222-2-2-2-222-2-222-2-22-200000000000000-2-22200000000-2200002-20000000
χ2922-2-22-2-222020-20-200022−2−22i−2i2i−2i00002-2i2−i2i2−i22−20022−2−200000000i2−i200000
χ3022-2-22-2-222020-20-200022−2−22i−2i−2i2i0000-22i2−i2i2−i22−200−2−22200000000−i2i200000
χ3122-2-22-2-222020-20-200022−2−2−2i2i2i−2i0000-22−i2i2−i2i22−200−2−22200000000i2−i200000
χ3222-2-22-2-222020-20-200022−2−2−2i2i−2i2i00002-2−i2i2−i2i22−20022−2−200000000−i2i200000
χ3322-2-22-2-222020-20-2000−2−2222i−2i2i−2i00002-2−i2i2−i2i2−2200−2−22200000000−i2i200000
χ3422-2-22-2-222020-20-2000−2−2222i−2i−2i2i0000-22−i2i2−i2i2−220022−2−200000000i2−i200000
χ3522-2-22-2-222020-20-2000−2−222−2i2i2i−2i0000-22i2−i2i2−i2−220022−2−200000000−i2i200000
χ3622-2-22-2-222020-20-2000−2−222−2i2i−2i2i00002-2i2−i2i2−i2−2200−2−22200000000i2−i200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-44-4-444-4-44-4400000000000000000000000000000000000000000
χ394444-4-4-4-4-444-4-444-4-4400000000000000000000000000000000000000000
χ404444-4-4-4-4-4-444-4-4444-400000000000000000000000000000000000000000
χ4144-4-44-4-44-40-404040002222−22−2200000000000000−2222000000000000000000000
χ4244-4-44-4-44-40-40404000−22−2222220000000000000022−22000000000000000000000
χ4344-4-4-444-440-40-404000000000000000002i2−2i2−2i22i200000000000000000000000
χ4444-4-4-444-440-40-40400000000000000000−2i22i22i2−2i200000000000000000000000
χ4544-4-4-444-4-404040-400000000000004i−4i00000000000000000000000000000
χ4644-4-4-444-4-404040-40000000000000−4i4i00000000000000000000000000000
χ474-44-444-4-404040-40-400000000004-40000000000000000000000000000000
χ484-44-444-4-404040-40-40000000000-440000000000000000000000000000000
χ494-44-444-4-40-40-40404000000000000000000000000000000000000002i2−2i2000
χ504-44-444-4-40-40-4040400000000000000000000000000000000000000−2i22i2000
χ514-44-4-4-444040-40-40400000000000000000000000022−2222−22000000000000000
χ524-44-4-4-444040-40-404000000000000000000000000−2222−2222000000000000000
χ534-44-4-4-4440-404040-4004-44-40000000000000000000000000000000000000
χ544-44-4-4-4440-404040-400-44-440000000000000000000000000000000000000
χ554-4-44-44-44000000000022−22−2222000000000000000022−222-2-22000000000000000
χ564-4-44-44-44000000000022−22−22220000000000000000−2222-222-2000000000000000
χ574-4-44-44-440000000000−222222−22000000000000000022−22-222-2000000000000000
χ584-4-44-44-440000000000−222222−220000000000000000−22222-2-22000000000000000
χ598-8-888-88-8000000000000000000000000000000000000000000000000000

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