Finite Group Databasebeta

← Group #146276

Character table — Group #146276

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111222222222222222222444444444444444444444488888888888888883232323232323232
order122222444444448888888844888888888888888888881616161616161616161616161616161644444488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ922222222222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ1022222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000
χ112222222-2-2-2-22222222-2-2-2-2-2-222-2-20000000000000000000000002222-2-2-2-200000000
χ122222222-2-2-2-22222222-2-2-2-2-2-222-2-2000000000000000000000000-2-2-2-2222200000000
χ132222222-2-2-2-2222-2-2-2-22222-2-2-2-22200000000000000002222-2-2-2-20000000000000000
χ142222222-2-2-2-2222-2-2-2-22222-2-2-2-2220000000000000000-2-2-2-222220000000000000000
χ152222-2-2222-2-2-2-22000000002-20000000000002222-2-2-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000
χ162222-2-2222-2-2-2-22000000002-20000000000002222-2-2-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000
χ172222-2-2222-2-2-2-22000000002-2000000000000-2-2-2-22222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ182222-2-2222-2-2-2-22000000002-2000000000000-2-2-2-22222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ192222-2-22-2-222-2-2200000000-2200002222-2-2-2-200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ202222-2-22-2-222-2-2200000000-2200002222-2-2-2-200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ212222-2-22-2-222-2-2200000000-220000-2-2-2-2222200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ222222-2-22-2-222-2-2200000000-220000-2-2-2-2222200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ232222-2-2-2222222-222222222-2-2-2-2-2-2000000000000000000000000000000000000002i−2i
χ242222-2-2-2222222-222222222-2-2-2-2-2-200000000000000000000000000000000000000−2i2i
χ252222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000002-2000000
χ262222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000-22000000
χ272222-2-2-2-2-2-2-222-22222-2-2-2-222-2-22200000000000000000000000000000000002i−2i0000
χ282222-2-2-2-2-2-2-222-22222-2-2-2-222-2-2220000000000000000000000000000000000−2i2i0000
χ292222-2-2-2-2-2-2-222-2-2-2-2-222222222-2-20000000000000000000000000000000000002i−2i00
χ302222-2-2-2-2-2-2-222-2-2-2-2-222222222-2-2000000000000000000000000000000000000−2i2i00
χ3122-2-22-2200002-2-2000022-2-200002-222−2−222−2−222−2−222−2−200002-22-22−22−22−22−200000000
χ3222-2-22-2200002-2-2000022-2-200002-222−2−222−2−222−2−222−2−20000-22-22−22−22−22−2200000000
χ3322-2-22-2200002-2-2000022-2-200002-2−2−222−2−222−2−222−2−22200002-22-2−22−22−22−2200000000
χ3422-2-22-2200002-2-2000022-2-200002-2−2−222−2−222−2−222−2−2220000-22-222−22−22−22−200000000
χ3522-2-22-2200002-2-20000-2-2220000-2222−2−222−2−2−2−222−2−2222-22-200002−22−2−22−2200000000
χ3622-2-22-2200002-2-20000-2-2220000-2222−2−222−2−2−2−222−2−222-22-220000−22−222−22−200000000
χ3722-2-22-2200002-2-20000-2-2220000-22−2−222−2−22222−2−222−2−22-22-20000−22−222−22−200000000
χ3822-2-22-2200002-2-20000-2-2220000-22−2−222−2−22222−2−222−2−2-22-2200002−22−2−22−2200000000
χ3922-2-2-2220000-22-222-2-20000002-20022−2−2−2−22222−2−2−2−222i2−i2−i2i2i2−i2−i2i200002i−2i−2i2i00000000
χ4022-2-2-2220000-22-222-2-20000002-20022−2−2−2−22222−2−2−2−222−i2i2i2−i2−i2i2i2−i20000−2i2i2i−2i00000000
χ4122-2-2-2220000-22-222-2-20000002-200−2−22222−2−2−2−22222−2−2i2−i2−i2i2i2−i2−i2i20000−2i2i2i−2i00000000
χ4222-2-2-2220000-22-222-2-20000002-200−2−22222−2−2−2−22222−2−2−i2i2i2−i2−i2i2i2−i200002i−2i−2i2i00000000
χ4322-2-2-2220000-22-2-2-222000000-220022−2−2−2−222−2−22222−2−2i2−i2−i2i2−i2i2i2−i22i−2i−2i2i000000000000
χ4422-2-2-2220000-22-2-2-222000000-220022−2−2−2−222−2−22222−2−2−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i000000000000
χ4522-2-2-2220000-22-2-2-222000000-2200−2−22222−2−222−2−2−2−222i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i000000000000
χ4622-2-2-2220000-22-2-2-222000000-2200−2−22222−2−222−2−2−2−222−i2i2i2−i2i2−i2−i2i22i−2i−2i2i000000000000
χ47444444-444-4-4-4-4-400000000-4400000000000000000000000000000000000000000000
χ48444444-4-4-444-4-4-4000000004-400000000000000000000000000000000000000000000
χ4944-4-44-4-40000-44444-4-4000000-44000000000000000000000000000000000000000000
χ5044-4-44-4-40000-444-4-4440000004-4000000000000000000000000000000000000000000
χ5144-4-4-44-400004-44000044-4-40000-440000000000000000000000000000000000000000
χ5244-4-4-44-400004-440000-4-44400004-40000000000000000000000000000000000000000
χ534-44-4000004-40002i2−2i22i2−2i22i2−2i22i2−2i200000000002i2−2i22i2−2i22-22-22-22-2000000000000000000000000
χ544-44-4000004-40002i2−2i22i2−2i22i2−2i22i2−2i20000000000−2i22i2−2i22i2-22-22-22-22000000000000000000000000
χ554-44-4000004-4000−2i22i2−2i22i2−2i22i2−2i22i200000000002i2−2i22i2−2i2-22-22-22-22000000000000000000000000
χ564-44-4000004-4000−2i22i2−2i22i2−2i22i2−2i22i20000000000−2i22i2−2i22i22-22-22-22-2000000000000000000000000
χ574-44-400000-440002i2−2i22i2−2i2−2i22i2−2i22i20000002i2−2i22i2−2i200002-22-2-22-22000000000000000000000000
χ584-44-400000-440002i2−2i22i2−2i2−2i22i2−2i22i2000000−2i22i2−2i22i20000-22-222-22-2000000000000000000000000
χ594-44-400000-44000−2i22i2−2i22i22i2−2i22i2−2i20000002i2−2i22i2−2i20000-22-222-22-2000000000000000000000000
χ604-44-400000-44000−2i22i2−2i22i22i2−2i22i2−2i2000000−2i22i2−2i22i200002-22-2-22-22000000000000000000000000
χ614-4-440004-4000002i2−2i2−2i22i22i2−2i2−2i22i20000002i−2i−2i2i2i−2i−2i2i000022−22−2222000000000000000000000000
χ624-4-440004-4000002i2−2i2−2i22i22i2−2i2−2i22i2000000−2i2i2i−2i−2i2i2i−2i0000−222222−22000000000000000000000000
χ634-4-440004-400000−2i22i22i2−2i2−2i22i22i2−2i20000002i−2i−2i2i2i−2i−2i2i0000−222222−22000000000000000000000000
χ644-4-440004-400000−2i22i22i2−2i2−2i22i22i2−2i2000000−2i2i2i−2i−2i2i2i−2i000022−22−2222000000000000000000000000
χ654-4-44000-44000002i2−2i2−2i22i2−2i22i22i2−2i20000002i−2i−2i2i−2i2i2i−2i22−22−22220000000000000000000000000000
χ664-4-44000-44000002i2−2i2−2i22i2−2i22i22i2−2i2000000−2i2i2i−2i2i−2i−2i2i−222222−220000000000000000000000000000
χ674-4-44000-4400000−2i22i22i2−2i22i2−2i2−2i22i20000002i−2i−2i2i−2i2i2i−2i−222222−220000000000000000000000000000
χ684-4-44000-4400000−2i22i22i2−2i22i2−2i2−2i22i2000000−2i2i2i−2i2i−2i−2i2i22−22−22220000000000000000000000000000

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