Finite Group Databasebeta

← Group #464196

Character table — Group #464196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111111111111122222222444444444444444444444444888888888888888816161616161616161616161616161616
order12222222222222224444444444444444888888888888888844444444888888882244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-222-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-222-2-222000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-2-2-222000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-22222-2-2000000000000000000000000
χ21222222-2-2-2-2-2-22-2-22222-22-2-2-2000000002222-2-2-2-2000000000000000000000000002i−2i002i−2i00000000
χ22222222-2-2-2-2-2-22-2-22222-22-2-2-2000000002222-2-2-2-200000000000000000000000000−2i2i00−2i2i00000000
χ23222222-2-2-2-2-2-22-2-22222-22-2-2-200000000-2-2-2-22222000000000000000000000000002i−2i00−2i2i00000000
χ24222222-2-2-2-2-2-22-2-22222-22-2-2-200000000-2-2-2-2222200000000000000000000000000−2i2i002i−2i00000000
χ25222-2-2-2-2222-2-2-2-2222-2-2-2222-200000000000000002222-2-2-2-20000000000000000000000002-200002-2
χ26222-2-2-2-2222-2-2-2-2222-2-2-2222-200000000000000002222-2-2-2-2000000000000000000000000-220000-22
χ27222-2-2-2-2222-2-2-2-2222-2-2-2222-20000000000000000-2-2-2-222220000000000000000000000002-20000-22
χ28222-2-2-2-2222-2-2-2-2222-2-2-2222-20000000000000000-2-2-2-22222000000000000000000000000-2200002-2
χ2922-22-2-2-22-2-22-2222-200000000000022-2-222−2−222−2−222−2−222−2−2002i−2i2i−2i00i2i2−i2−i2i2i2−i2−i20000000000000000
χ3022-22-2-2-22-2-22-2222-200000000000022-2-222−2−222−2−222−2−222−2−200−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i20000000000000000
χ3122-22-2-2-22-2-22-2222-200000000000022-2-2−2−222−2−222−2−222−2−222002i−2i2i−2i00−i2−i2i2i2−i2−i2i2i20000000000000000
χ3222-22-2-2-22-2-22-2222-200000000000022-2-2−2−222−2−222−2−222−2−22200−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i20000000000000000
χ3322-22-2-2-22-2-22-2222-2000000000000-2-22222−2−222−2−2−2−222−2−222002i−2i−2i2i00i2i2−i2−i2−i2−i2i2i20000000000000000
χ3422-22-2-2-22-2-22-2222-2000000000000-2-22222−2−222−2−2−2−222−2−22200−2i2i2i−2i00−i2−i2i2i2i2i2−i2−i20000000000000000
χ3522-22-2-2-22-2-22-2222-2000000000000-2-222−2−222−2−22222−2−222−2−2002i−2i−2i2i00−i2−i2i2i2i2i2−i2−i20000000000000000
χ3622-22-2-2-22-2-22-2222-2000000000000-2-222−2−222−2−22222−2−222−2−200−2i2i2i−2i00i2i2−i2−i2−i2−i2i2i20000000000000000
χ372-22-22-2-2-22-2-22222-20000000000002-22-22−22−22−22−22−22−22−22−22i−2i00002i−2ii2−i2i2−i2i2−i2i2−i20000000000000000
χ382-22-22-2-2-22-2-22222-20000000000002-22-22−22−22−22−22−22−22−22−2−2i2i0000−2i2i−i2i2−i2i2−i2i2−i2i20000000000000000
χ392-22-22-2-2-22-2-22222-20000000000002-22-2−22−22−22−22−22−22−22−222i−2i00002i−2i−i2i2−i2i2−i2i2−i2i20000000000000000
χ402-22-22-2-2-22-2-22222-20000000000002-22-2−22−22−22−22−22−22−22−22−2i2i0000−2i2ii2−i2i2−i2i2−i2i2−i20000000000000000
χ412-22-22-2-2-22-2-22222-2000000000000-22-222−22−22−22−2−22−22−22−222i−2i0000−2i2ii2−i2i2−i2−i2i2−i2i20000000000000000
χ422-22-22-2-2-22-2-22222-2000000000000-22-222−22−22−22−2−22−22−22−22−2i2i00002i−2i−i2i2−i2i2i2−i2i2−i20000000000000000
χ432-22-22-2-2-22-2-22222-2000000000000-22-22−22−22−22−222−22−22−22−22i−2i0000−2i2i−i2i2−i2i2i2−i2i2−i20000000000000000
χ442-22-22-2-2-22-2-22222-2000000000000-22-22−22−22−22−222−22−22−22−2−2i2i00002i−2ii2−i2i2−i2−i2i2−i2i20000000000000000
χ452-2-222-2-2-2-2222-2-222-22-2-222-2200000000000000002-2-22-222-2000000000000000000000000002-22-200
χ462-2-222-2-2-2-2222-2-222-22-2-222-2200000000000000002-2-22-222-200000000000000000000000000-22-2200
χ472-2-222-2-2-2-2222-2-222-22-2-222-220000000000000000-222-22-2-22000000000000000000000000002-2-2200
χ482-2-222-2-2-2-2222-2-222-22-2-222-220000000000000000-222-22-2-2200000000000000000000000000-222-200
χ492-2-2-2-222-2-22-2-2222222-2-2-2-22222-2-22-2-220000000000000000000000002-2-222-2-220000000000000000
χ502-2-2-2-222-2-22-2-2222222-2-2-2-22222-2-22-2-22000000000000000000000000-222-2-222-20000000000000000
χ512-2-2-2-222-2-22-2-2222222-2-2-2-222-2-222-222-20000000000000000000000002-2-22-222-20000000000000000
χ522-2-2-2-222-2-22-2-2222222-2-2-2-222-2-222-222-2000000000000000000000000-222-22-2-220000000000000000
χ532-2-2-2-222-2-22-2-22222-2-22222-2-222-2-2-222-22-2-222-2-22-222-2-222-200000000000000000000000000000000
χ542-2-2-2-222-2-22-2-22222-2-22222-2-222-2-2-222-2-222-2-222-22-2-222-2-2200000000000000000000000000000000
χ552-2-2-2-222-2-22-2-22222-2-22222-2-2-2-2222-2-222-2-222-2-222-2-222-2-2200000000000000000000000000000000
χ562-2-2-2-222-2-22-2-22222-2-22222-2-2-2-2222-2-22-222-2-222-2-222-2-222-200000000000000000000000000000000
χ572-2-2-2-22-222-2222-2-22-2-22-22-222000000002-2-22-222-20000000000000000000000002-2002-20000000000
χ582-2-2-2-22-222-2222-2-22-2-22-22-222000000002-2-22-222-2000000000000000000000000-2200-220000000000
χ592-2-2-2-22-222-2222-2-22-2-22-22-22200000000-222-22-2-220000000000000000000000002-200-220000000000
χ602-2-2-2-22-222-2222-2-22-2-22-22-22200000000-222-22-2-22000000000000000000000000-22002-20000000000
χ61444444-4-4-4-4-4-44-4-44-4-4-44-444400000000000000000000000000000000000000000000000000000000
χ62444-4-4-44-4-4-444-44-444-4-444-4-4400000000000000000000000000000000000000000000000000000000
χ63444-4-4-44-4-4-444-44-44-444-4-444-400000000000000000000000000000000000000000000000000000000
χ64444-4-4-4-4444-4-4-4-444-4444-4-4-4400000000000000000000000000000000000000000000000000000000
χ6544-44-4-44-444-444-4-4-400000000000000002222−22−22−22−2222220000000000000000000000000000000000000000
χ6644-44-4-44-444-444-4-4-40000000000000000−22−2222222222−22−220000000000000000000000000000000000000000
χ6744-4-44444-4-4-44-4-44-40000000000000000000000002222−22−22−22−22222200000000000000000000000000000000
χ6844-4-44444-4-4-44-4-44-4000000000000000000000000−22−2222222222−22−2200000000000000000000000000000000
χ6944-4-444-4-4444-4-44-4-4000000004-44-40000000000000000000000000000000000000000000000000000
χ7044-4-444-4-4444-4-44-4-400000000-44-440000000000000000000000000000000000000000000000000000
χ714-444-444-44-44-4-4-44-400000000000000000000000022−2222−22−2222−222200000000000000000000000000000000
χ724-444-444-44-44-4-4-44-4000000000000000000000000−2222−222222−2222−2200000000000000000000000000000000
χ734-444-44-44-44-44-44-4-4000000004-4-440000000000000000000000000000000000000000000000000000
χ744-444-44-44-44-44-44-4-400000000-444-40000000000000000000000000000000000000000000000000000
χ754-44-44-444-444-44-4-4-4000000000000000022−2222−22−2222−22220000000000000000000000000000000000000000
χ764-44-44-444-444-44-4-4-40000000000000000−2222−222222−2222−220000000000000000000000000000000000000000
χ774-4-444-4444-4-4-4-44-444-44-4-44-4400000000000000000000000000000000000000000000000000000000
χ784-4-444-4444-4-4-4-44-44-44-444-44-400000000000000000000000000000000000000000000000000000000
χ794-4-444-4-4-4-4444-4-4444-444-4-44-400000000000000000000000000000000000000000000000000000000
χ804-4-4-4-44-444-4444-4-4444-44-44-4-400000000000000000000000000000000000000000000000000000000

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