Finite Group Databasebeta

← Group #341764

Character table — Group #341764

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ51111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-111111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1111-11-1-1-1-1-1111-1-1
χ10111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1111-1-1-1-1-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-11-11
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11111-11-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111-11-111-1-1-1-1-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-11-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-11-111111-1-11-1-1
χ17222222222-22-22-22-2-2-20000222200-2-200220000-2-2000000-2000000000000
χ18222222222-22-22-22-2-2-2000022-2-200-2-200-2-20000220000002000000000000
χ19222222222-22-22-22-2-2-20000-2-222002200-2-2000022000000-2000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-2002200220000-2-20000002000000000000
χ2122222222-22-22-22-22-2-2222200002200-2-2000000000000000-2-22000000000
χ2222222222-22-22-22-22-2-222220000-2-200-2-200000000000000022-2000000000
χ2322222222-22-22-22-22-2-2-2-2-2-200002200220000000000000002-2-2000000000
χ2422222222-22-22-22-22-2-2-2-2-2-20000-2-20022000000000000000-222000000000
χ25222-2-22-2-222-2-222-2-22-2000000000000000022-2-20000002-200002-20000000
χ26222-2-22-2-222-2-222-2-22-2000000000000000022-2-2000000-220000-220000000
χ27222-2-22-2-222-2-222-2-22-20000000000000000-2-2220000002-20000-220000000
χ28222-2-22-2-222-2-222-2-22-20000000000000000-2-222000000-2200002-20000000
χ2922-222-2-2-22020-20-200022−2−22-22-200002−22-22−22−20022−2−2000000002−200000
χ3022-222-2-2-22020-20-200022−2−22-2-2200002−2-222−22−200−2−22200000000−2200000
χ3122-222-2-2-22020-20-200022−2−2-222-200002−2-22−22−2200−2−222000000002−200000
χ3222-222-2-2-22020-20-200022−2−2-22-2200002−22-2−22−220022−2−200000000−2200000
χ3322-222-2-2-22020-20-2000−2−2222-22-20000−222-2−22−2200−2−22200000000−2200000
χ3422-222-2-2-22020-20-2000−2−2222-2-220000−22-22−22−220022−2−2000000002−200000
χ3522-222-2-2-22020-20-2000−2−222-222-20000−22-222−22−20022−2−200000000−2200000
χ3622-222-2-2-22020-20-2000−2−222-22-220000−222-22−22−200−2−222000000002−200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-44-4-444-4-44-4400000000000000000000000000000000000000000
χ39444-4-44-4-4-444-4-444-4-4400000000000000000000000000000000000000000
χ40444-4-44-4-4-4-444-4-4444-400000000000000000000000000000000000000000
χ4144-444-4-4-4-40-404040002222−22−2200000000−2222000000000000000000000000000
χ4244-444-4-4-4-40-40404000−22−2222220000000022−22000000000000000000000000000
χ4344-4-4-4-44440-40-404000000000000000000022−22−2222000000000000000000000
χ4444-4-4-4-44440-40-4040000000000000000000−222222−22000000000000000000000
χ4544-4-4-4-444-404040-400000000000004-400000000000000000000000000000
χ4644-4-4-4-444-404040-40000000000000-4400000000000000000000000000000
χ474-444-4-4-4400000000002i2−2i22i2−2i2000000000000000022−222i−2i2i−2i000000000000000
χ484-444-4-4-4400000000002i2−2i22i2−2i20000000000000000−2222−2i2i−2i2i000000000000000
χ494-444-4-4-440000000000−2i22i2−2i22i2000000000000000022−22−2i2i−2i2i000000000000000
χ504-444-4-4-440000000000−2i22i2−2i22i20000000000000000−22222i−2i2i−2i000000000000000
χ514-4-44-444-4040-40-4040000000000000000000000002i2−2i2−2i22i2000000000000000
χ524-4-44-444-4040-40-404000000000000000000000000−2i22i22i2−2i2000000000000000
χ534-4-44-444-40-404040-4004i−4i−4i4i0000000000000000000000000000000000000
χ544-4-44-444-40-404040-400−4i4i4i−4i0000000000000000000000000000000000000
χ554-4-4-444-4404040-40-400000000004i−4i0000000000000000000000000000000
χ564-4-4-444-4404040-40-40000000000−4i4i0000000000000000000000000000000
χ574-4-4-444-440-40-404040000000000000000000000000000000000000022−22000
χ584-4-4-444-440-40-4040400000000000000000000000000000000000000−2222000
χ598-88-88-88-8000000000000000000000000000000000000000000000000000

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