Finite Group Databasebeta

← Group #272379

Character table — Group #272379

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444422444222244444888888882224488888888888848
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111-1-111-1-111-1-1111111-11-1-1111-1-1-1-1-1-1-1-11-1
χ411111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-111-1-11111-11
χ5111111111111111111-1-111111111-1-11111-1-11-11-11-1-111-1-1-1-111-1-1
χ6111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-111
χ7111111111111111111-1-1-1-111-1-111111111-1-1-1-1-111-1-1-1-11111-1-1-11
χ8111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-1111-1
χ9111111111111-1-1111-11111-1-1111111-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111
χ10111111111111-1-1111-11111-1-111-1-1111111-1-1-11-11-111-1-1-1-11111-1-1
χ11111111111111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-11111111-1
χ12111111111111-1-1111-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1111111-1-1-1-1-11
χ13111111111111-1-1111-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1
χ14111111111111-1-1111-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-11111
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-111111-1-1-1-1-1-111-11
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-111-1-111-1-11-1
χ172222222-22-2-2-2222-2-220000-2-200000000000000000002i−2i00002i−2i00
χ182222222-22-2-2-2222-2-220000-2-20000000000000000000−2i2i0000−2i2i00
χ192222222-22-2-2-2-2-22-2-2-200002200000000000000000002i−2i0000−2i2i00
χ202222222-22-2-2-2-2-22-2-2-20000220000000000000000000−2i2i00002i−2i00
χ21222222-22-222200-2-2-20222-2002-200220000000-20-20000000000000
χ22222222-22-222200-2-2-2022-2200-2200-2-20000000-2020000000000000
χ23222222-22-222200-2-2-20-2-22-2002-200-2-200000002020000000000000
χ24222222-22-222200-2-2-20-2-2-2200-220022000000020-20000000000000
χ252222-2-2222-2-2222-22-2-200222-2-2-2000000000020-200000000000000
χ262222-2-2222-2-2222-22-2-200-2-22-2220000000000-20200000000000000
χ272222-2-2222-2-22-2-2-22-220022-22-2-20000000000-20200000000000000
χ282222-2-2222-2-22-2-2-22-2200-2-2-2222000000000020-200000000000000
χ292222-2-22-2222-222-2-22-20000-2200220022-2-2000000-2000000000000
χ302222-2-22-2222-222-2-22-20000-2200-2-200-2-2220000002000000000000
χ312222-2-22-2222-2-2-2-2-22200002-2002200-2-222000000-2000000000000
χ322222-2-22-2222-2-2-2-2-22200002-200-2-20022-2-20000002000000000000
χ332222-2-2-22-2-2-22002-220002-200-22000000002-20000000002-2000000
χ342222-2-2-22-2-2-22002-220002-200-2200000000-22000000000-22000000
χ352222-2-2-22-2-2-22002-22000-22002-2000000002-2000000000-22000000
χ362222-2-2-22-2-2-22002-22000-22002-200000000-220000000002-2000000
χ37444444-4-4-4-4-4-400-444000000000000000000000000000000000000
χ384444-4-4-4-4-444-40044-4000000000000000000000000000000000000
χ3944-4-40040-40004-40000000000002i2−2i2002i2−2i2000000000000000000000
χ4044-4-40040-40004-4000000000000−2i22i200−2i22i2000000000000000000000
χ4144-4-40040-4000-440000000000002i2−2i200−2i22i2000000000000000000000
χ4244-4-40040-4000-44000000000000−2i22i2002i2−2i2000000000000000000000
χ434-44-44-40404-4-4000000000000000000000000000000000002i2−2i20000
χ444-44-44-40404-4-400000000000000000000000000000000000−2i22i20000
χ454-44-44-40-40-4440000004-4000000000000000000000000000000000
χ464-44-44-40-40-444000000-44000000000000000000000000000000000
χ474-44-4-44040-44-4000000000000000000000000000002i2−2i20000000000
χ484-44-4-44040-44-400000000000000000000000000000−2i22i20000000000
χ494-44-4-440-404-4400000000000000004-400000000000000000000000
χ504-44-4-440-404-440000000000000000-4400000000000000000000000
χ5188-8-800-80800000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000004-40000000000000000000
χ538-8-880000000000000000000000000000-440000000000000000000

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