Finite Group Databasebeta

← Group #341971

Character table — Group #341971

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-1-11-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111111111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1-1111-1-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-111
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111-11-111-1-1-1-1-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11-1-1-1-1-11111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11-111111-1-11-1-1
χ17222222222-22-22-22-2-2-2000022-2-2220022000000-2-200000000-20000000000
χ18222222222-22-22-22-2-2-2000022-2-2-2-200-2-2000000220000000020000000000
χ19222222222-22-22-22-2-2-20000-2-2222200-2-20000002200000000-20000000000
χ20222222222-22-22-22-2-2-20000-2-222-2-20022000000-2-20000000020000000000
χ2122222222-22-22-22-22-2-2222200000022000000-2-200000000-220-2000000000
χ2222222222-22-22-22-22-2-22222000000-2-2000000-2-2000000002-202000000000
χ2322222222-22-22-22-22-2-2-2-2-2-2000000220000002200000000-2-202000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2000000-2-20000002200000000220-2000000000
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
χ2922-2-222-2-2-20-2020200022−2−22i−2i002-2002i−2ii2−i2i2−i22−200i2i2−i2−i2000000002−200000
χ3022-2-222-2-2-20-2020200022−2−22i−2i00-2200−2i2ii2−i2i2−i22−200−i2−i2i2i200000000−2200000
χ3122-2-222-2-2-20-2020200022−2−2−2i2i002-200−2i2i−i2i2−i2i22−200−i2−i2i2i2000000002−200000
χ3222-2-222-2-2-20-2020200022−2−2−2i2i00-22002i−2i−i2i2−i2i22−200i2i2−i2−i200000000−2200000
χ3322-2-222-2-2-20-20202000−2−2222i−2i002-2002i−2i−i2i2−i2i2−2200−i2−i2i2i200000000−2200000
χ3422-2-222-2-2-20-20202000−2−2222i−2i00-2200−2i2i−i2i2−i2i2−2200i2i2−i2−i2000000002−200000
χ3522-2-222-2-2-20-20202000−2−222−2i2i002-200−2i2ii2−i2i2−i2−2200i2i2−i2−i200000000−2200000
χ3622-2-222-2-2-20-20202000−2−222−2i2i00-22002i−2ii2−i2i2−i2−2200−i2−i2i2i2000000002−200000
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
χ4144-4-444-4-44040-40-40002222−22−2200000000000000−2222000000000000000000000
χ4244-4-444-4-44040-40-4000−22−2222220000000000000022−22000000000000000000000
χ4344-4-4-4-44440-40-4040000000004i−4i000000000000000000000000000000000
χ4444-4-4-4-44440-40-404000000000−4i4i000000000000000000000000000000000
χ4544-4-4-4-444-404040-4000000000000000002i2−2i2−2i22i200000000000000000000000
χ4644-4-4-4-444-404040-400000000000000000−2i22i22i2−2i200000000000000000000000
χ474-44-44-4-4400000000002i2−2i22i2−2i200000000000000002i2−2i22-22-2000000000000000
χ484-44-44-4-4400000000002i2−2i22i2−2i20000000000000000−2i22i2-22-22000000000000000
χ494-44-44-4-440000000000−2i22i2−2i22i200000000000000002i2−2i2-22-22000000000000000
χ504-44-44-4-440000000000−2i22i2−2i22i20000000000000000−2i22i22-22-2000000000000000
χ514-4-444-44-4040-40-404004i−4i−4i4i0000000000000000000000000000000000000
χ524-4-444-44-4040-40-40400−4i4i4i−4i0000000000000000000000000000000000000
χ534-4-444-44-40-404040-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ544-4-444-44-40-404040-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ554-4-44-44-4404040-40-4000000000000000000000000000000000000002i2−2i2000
χ564-4-44-44-4404040-40-400000000000000000000000000000000000000−2i22i2000
χ574-4-44-44-440-40-404040000000000004-400000000000000000000000000000
χ584-4-44-44-440-40-40404000000000000-4400000000000000000000000000000
χ598-88-8-888-8000000000000000000000000000000000000000000000000000

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