Finite Group Databasebeta

← Group #456795

Character table — Group #456795

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111111111111122222222444444444444444444444444888888888888888816161616161616161616161616161616
order12222222222222224444444422224444888888888888888844444444888888882244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111
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
χ2122222-2-22-2-2-2-2-22-220000000000002i2i−2i−2i2222−2−2−2−2i2i2i2i2−i2−i2−i2−i2002-22i−2i0022−2−2i2i2−i2−i20000000000000000
χ2222222-2-22-2-2-2-2-22-220000000000002i2i−2i−2i2222−2−2−2−2i2i2i2i2−i2−i2−i2−i200-22−2i2i00−2−222−i2−i2i2i20000000000000000
χ2322222-2-22-2-2-2-2-22-220000000000002i2i−2i−2i−2−2−2−22222−i2−i2−i2−i2i2i2i2i2002-22i−2i00−2−222−i2−i2i2i20000000000000000
χ2422222-2-22-2-2-2-2-22-220000000000002i2i−2i−2i−2−2−2−22222−i2−i2−i2−i2i2i2i2i200-22−2i2i0022−2−2i2i2−i2−i20000000000000000
χ2522222-2-22-2-2-2-2-22-22000000000000−2i−2i2i2i2222−2−2−2−2−i2−i2−i2−i2i2i2i2i2002-2−2i2i0022−2−2−i2−i2i2i20000000000000000
χ2622222-2-22-2-2-2-2-22-22000000000000−2i−2i2i2i2222−2−2−2−2−i2−i2−i2−i2i2i2i2i200-222i−2i00−2−222i2i2−i2−i20000000000000000
χ2722222-2-22-2-2-2-2-22-22000000000000−2i−2i2i2i−2−2−2−22222i2i2i2i2−i2−i2−i2−i2002-2−2i2i00−2−222i2i2−i2−i20000000000000000
χ2822222-2-22-2-2-2-2-22-22000000000000−2i−2i2i2i−2−2−2−22222i2i2i2i2−i2−i2−i2−i200-222i−2i0022−2−2−i2−i2i2i20000000000000000
χ29222-2-22-22222-2-2-2-2-2222-2-2-2-22000000000000000022-2-222-2-2000000000000000000002i−2i00002i−2i0000
χ30222-2-22-22222-2-2-2-2-2222-2-2-2-22000000000000000022-2-222-2-200000000000000000000−2i2i0000−2i2i0000
χ31222-2-22-22222-2-2-2-2-2222-2-2-2-220000000000000000-2-222-2-222000000000000000000002i−2i0000−2i2i0000
χ32222-2-22-22222-2-2-2-2-2222-2-2-2-220000000000000000-2-222-2-22200000000000000000000−2i2i00002i−2i0000
χ3322-22-22-2-2-22-22-222-222-22-2-22-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-200000000002i−2i00
χ3422-22-22-2-2-22-22-222-222-22-2-22-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000-220000000000−2i2i00
χ3522-22-22-2-2-22-22-222-222-22-2-22-200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-20000000000−2i2i00
χ3622-22-22-2-2-22-22-222-222-22-2-22-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000-2200000000002i−2i00
χ372-22-2-2-22-2-222-2-22222-2-222-2-22000000002-22-22-22-2000000000000000000000000002-200002-2000000
χ382-22-2-2-22-2-222-2-22222-2-222-2-22000000002-22-22-22-200000000000000000000000000-220000-22000000
χ392-22-2-2-22-2-222-2-22222-2-222-2-2200000000-22-22-22-22000000000000000000000000002-20000-22000000
χ402-22-2-2-22-2-222-2-22222-2-222-2-2200000000-22-22-22-2200000000000000000000000000-2200002-2000000
χ412-2-22-2-22222-22-2-2-222-22-22-22-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000002i−2i0000002-2
χ422-2-22-2-22222-22-2-2-222-22-22-22-200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000−2i2i000000-22
χ432-2-22-2-22222-22-2-2-222-22-22-22-20000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000002i−2i000000-22
χ442-2-22-2-22222-22-2-2-222-22-22-22-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000−2i2i0000002-2
χ452-2-2-22222-2-222-22-2-20000000000002i−2i2i−2ii2−i2−i2i2−i2i2i2−i22−2−22−222−22i−2i00002-22−22−2i2−i2i2−i20000000000000000
χ462-2-2-22222-2-222-22-2-20000000000002i−2i2i−2ii2−i2−i2i2−i2i2i2−i22−2−22−222−2−2i2i0000-22−22−22−i2i2−i2i20000000000000000
χ472-2-2-22222-2-222-22-2-20000000000002i−2i2i−2i−i2i2i2−i2i2−i2−i2i2−222−22−2−222i−2i00002-2−22−22−i2i2−i2i20000000000000000
χ482-2-2-22222-2-222-22-2-20000000000002i−2i2i−2i−i2i2i2−i2i2−i2−i2i2−222−22−2−22−2i2i0000-222−22−2i2−i2i2−i20000000000000000
χ492-2-2-22222-2-222-22-2-2000000000000−2i2i−2i2ii2−i2−i2i2−i2i2i2−i2−222−22−2−222i−2i0000-222−22−2−i2i2−i2i20000000000000000
χ502-2-2-22222-2-222-22-2-2000000000000−2i2i−2i2ii2−i2−i2i2−i2i2i2−i2−222−22−2−22−2i2i00002-2−22−22i2−i2i2−i20000000000000000
χ512-2-2-22222-2-222-22-2-2000000000000−2i2i−2i2i−i2i2i2−i2i2−i2−i2i22−2−22−222−22i−2i0000-22−22−22i2−i2i2−i20000000000000000
χ522-2-2-22222-2-222-22-2-2000000000000−2i2i−2i2i−i2i2i2−i2i2−i2−i2i22−2−22−222−2−2i2i00002-22−22−2−i2i2−i2i20000000000000000
χ532-2-2-22-2-2222-2-2222-22-222-22-2-222-2-22-2-222i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ542-2-2-22-2-2222-2-2222-22-222-22-2-222-2-22-2-22−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ552-2-2-22-2-2222-2-2222-22-222-22-2-2-2-222-222-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ562-2-2-22-2-2222-2-2222-22-222-22-2-2-2-222-222-2−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ572-2-2-22-2-2222-2-2222-2-22-2-22-22222-2-2-222-20000000000000000000000002-2-22-222-20000000000000000
χ582-2-2-22-2-2222-2-2222-2-22-2-22-22222-2-2-222-2000000000000000000000000-222-22-2-220000000000000000
χ592-2-2-22-2-2222-2-2222-2-22-2-22-222-2-2222-2-220000000000000000000000002-2-222-2-220000000000000000
χ602-2-2-22-2-2222-2-2222-2-22-2-22-222-2-2222-2-22000000000000000000000000-222-2-222-20000000000000000
χ61444-4-44-44444-4-4-4-4-4-4-4-44444-400000000000000000000000000000000000000000000000000000000
χ62444-4-4-444-4-4-444-44-40000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000
χ63444-4-4-444-4-4-444-44-4000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000
χ6444-44-44-4-4-44-44-444-4-4-44-444-4400000000000000000000000000000000000000000000000000000000
χ6544-44-4-44-44-44-444-4-400000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000000000
χ6644-44-4-44-44-44-444-4-40000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000000000
χ6744-4-4444-4-44-4-44-4-4444-4-444-4-400000000000000000000000000000000000000000000000000000000
χ6844-4-4444-4-44-4-44-4-44-4-444-4-44400000000000000000000000000000000000000000000000000000000
χ6944-4-44-4-4-44-444-4-444000000004-44-40000000000000000000000000000000000000000000000000000
χ7044-4-44-4-4-44-444-4-44400000000-44-440000000000000000000000000000000000000000000000000000
χ714-444444-44-4-4-4-4-44-4000000004-4-440000000000000000000000000000000000000000000000000000
χ724-444444-44-4-4-4-4-44-400000000-444-40000000000000000000000000000000000000000000000000000
χ734-4444-4-4-4-44444-4-4-44-4-4-4-444400000000000000000000000000000000000000000000000000000000
χ744-4444-4-4-4-44444-4-4-4-44444-4-4-400000000000000000000000000000000000000000000000000000000
χ754-44-4-44-4-44-4-4444-44000000000000000022−2222−22−2222−22220000000000000000000000000000000000000000
χ764-44-4-44-4-44-4-4444-440000000000000000−2222−222222−2222−220000000000000000000000000000000000000000
χ774-44-4-4-44-4-444-4-4444-444-4-444-400000000000000000000000000000000000000000000000000000000
χ784-4-44-44-44-4-44-44-44400000000000000000000000022−2222−22−2222−222200000000000000000000000000000000
χ794-4-44-44-44-4-44-44-444000000000000000000000000−2222−222222−2222−2200000000000000000000000000000000
χ804-4-44-4-44444-44-4-4-44-44-44-44-4400000000000000000000000000000000000000000000000000000000

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