Finite Group Databasebeta

← Group #457608

Character table — Group #457608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12442222222444444422222244444488884444444444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111
χ511111111111111111111-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111
χ9111111111111111111-1-111-1-1-1-111-1-111111111-1-111-1-111-1-1-1-1-1-111-1-1
χ10111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ11111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111
χ12111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1
χ13111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ14111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ15111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111
χ16111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1722222-2-222-2-222-2-2-22-200002-200002-2000000002i−2i2i−2i00000000000000
χ1822222-2-222-2-222-2-2-22-200002-200002-200000000−2i2i−2i2i00000000000000
χ1922222-2-222-2-222-2-2-22-20000-220000-22000000002i−2i−2i2i00000000000000
χ2022222-2-222-2-222-2-2-22-20000-220000-2200000000−2i2i2i−2i00000000000000
χ212222-22-22-22-22-22-22-2-2002-200002-20000002i−2i00000000000000002i−2i00
χ222222-22-22-22-22-22-22-2-2002-200002-2000000−2i2i0000000000000000−2i2i00
χ232222-22-22-22-22-22-22-2-200-220000-220000002i−2i0000000000000000−2i2i00
χ242222-22-22-22-22-22-22-2-200-220000-22000000−2i2i00000000000000002i−2i00
χ252222-22-2-22-22-22-222-2-22-200002-200000000002i−2i00000000000000002i−2i
χ262222-22-2-22-22-22-222-2-22-200002-20000000000−2i2i0000000000000000−2i2i
χ272222-22-2-22-22-22-222-2-2-220000-2200000000002i−2i0000000000000000−2i2i
χ282222-22-2-22-22-22-222-2-2-220000-220000000000−2i2i00000000000000002i−2i
χ2922-2-2222-2-2-2-22222-2-2-22-22-222-22-22-2-200000000000000000000000000
χ3022-2-2222-2-2-2-22222-2-2-22-2-22-2-2-222-22200000000000000000000000000
χ3122-2-2222-2-2-2-22222-2-2-2-222-2-2-22-2-222200000000000000000000000000
χ3222-2-2222-2-2-2-22222-2-2-2-22-22222-22-2-2-200000000000000000000000000
χ3322-2-22-2-2-2-22222-2-22-2200002-20000-2222-2-20000000000002-200000000
χ3422-2-22-2-2-2-22222-2-22-2200002-20000-22-2-222000000000000-2200000000
χ3522-2-22-2-2-2-22222-2-22-220000-2200002-222-2-2000000000000-2200000000
χ3622-2-22-2-2-2-22222-2-22-220000-2200002-2-2-2220000000000002-200000000
χ3722-2-2-22-22-22-2-22-22-222220000-2-20000000000000000002-200002-20000
χ3822-2-2-22-22-22-2-22-22-222220000-2-2000000000000000000-220000-220000
χ3922-2-2-22-22-22-2-22-22-222-2-20000220000000000000000002-20000-220000
χ4022-2-2-22-22-22-2-22-22-222-2-2000022000000000000000000-2200002-20000
χ4122-2-2-22-2-22-222-22-2-22200220000-2-2000000000000002-200002-2000000
χ4222-2-2-22-2-22-222-22-2-22200220000-2-200000000000000-220000-22000000
χ4322-2-2-22-2-22-222-22-2-22200-2-2000022000000000000002-20000-22000000
χ4422-2-2-22-2-22-222-22-2-22200-2-200002200000000000000-2200002-2000000
χ454444444-4-4-4-4-4-4-4-444400000000000000000000000000000000000000
χ4644444-4-4-4-444-4-444-44-400000000000000000000000000000000000000
χ474444-4-444-4-444-4-44-4-4400000000000000000000000000000000000000
χ484444-4-44-444-4-444-4-4-4400000000000000000000000000000000000000
χ4944-4-44444444-4-4-4-4-4-4-400000000000000000000000000000000000000
χ5044-4-44-4-444-4-4-4-4444-4400000000000000000000000000000000000000
χ5144-4-4-4-444-4-44-444-444-400000000000000000000000000000000000000
χ5244-4-4-4-44-444-44-4-4444-400000000000000000000000000000000000000
χ538-88i−8i000000000000000000000000002i2−2i222−220000000000000000000000
χ548-88i−8i00000000000000000000000000−2i22i2−22220000000000000000000000
χ558-8−8i8i000000000000000000000000002i2−2i2−22220000000000000000000000
χ568-8−8i8i00000000000000000000000000−2i22i222−220000000000000000000000

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