Finite Group Databasebeta

← Group #424188

Character table — Group #424188

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111111111111111222222224444444488888888888888888888888888888888888888881616161616161616
order12222222222222224444444444444444222244444444444444444444888888888888888822222244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111
χ9111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ10111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ11111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ12111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ172222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-222-2-2000000000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000022-2-2-2-222000000000000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000-2-222-2-222000000000000000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222222-2-2000000000000000000000000000000000000
χ2122222-2-2-22-222-2-2-2-2222-2-22-2-20000000022-2-2000000002i2i−2i−2i00000000000000002i2i−2i−2i000000000000
χ2222222-2-2-22-222-2-2-2-2222-2-22-2-20000000022-2-200000000−2i−2i2i2i0000000000000000−2i−2i2i2i000000000000
χ2322222-2-2-22-222-2-2-2-2222-2-22-2-200000000-2-222000000002i2i−2i−2i0000000000000000−2i−2i2i2i000000000000
χ2422222-2-2-22-222-2-2-2-2222-2-22-2-200000000-2-22200000000−2i−2i2i2i00000000000000002i2i−2i−2i000000000000
χ25222-2-222-22-2-2-222-2-222-22-2-22-20000000000000000000000002i2i−2i−2i2i2i−2i−2i000022-2-20000000000000000
χ26222-2-222-22-2-2-222-2-222-22-2-22-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000-2-2220000000000000000
χ27222-2-222-22-2-2-222-2-222-22-2-22-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000-2-2220000000000000000
χ28222-2-222-22-2-2-222-2-222-22-2-22-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i000022-2-20000000000000000
χ2922-22-2-2-2-2-2-22-222220000000022-2-222-2-2000000002-20000000000000022−2−22−22−22−22−222−2−200000000
χ3022-22-2-2-2-2-2-22-222220000000022-2-222-2-2000000002-200000000000000−2−222−22−22−22−22−2−22200000000
χ3122-22-2-2-2-2-2-22-222220000000022-2-2-2-22200000000-220000000000000022−2−22−22−2−22−22−2−22200000000
χ3222-22-2-2-2-2-2-22-222220000000022-2-2-2-22200000000-2200000000000000−2−222−22−222−22−222−2−200000000
χ3322-22-2-2-2-2-2-22-2222200000000-2-22222-2-200000000-220000000000000022−2−2−22−222−22−2−2−22200000000
χ3422-22-2-2-2-2-2-22-2222200000000-2-22222-2-200000000-2200000000000000−2−2222−22−2−22−2222−2−200000000
χ3522-22-2-2-2-2-2-22-2222200000000-2-222-2-222000000002-20000000000000022−2−2−22−22−22−2222−2−200000000
χ3622-22-2-2-2-2-2-22-2222200000000-2-222-2-222000000002-200000000000000−2−2222−22−22−22−2−2−22200000000
χ372-2-2222-222-2-2-22-22-22-2-2222-2-2000000000000000000002i−2i2i−2i00002i−2i2i−2i2-22-200000000000000000000
χ382-2-2222-222-2-2-22-22-22-2-2222-2-2000000000000000000002i−2i2i−2i0000−2i2i−2i2i-22-2200000000000000000000
χ392-2-2222-222-2-2-22-22-22-2-2222-2-200000000000000000000−2i2i−2i2i00002i−2i2i−2i-22-2200000000000000000000
χ402-2-2222-222-2-2-22-22-22-2-2222-2-200000000000000000000−2i2i−2i2i0000−2i2i−2i2i2-22-200000000000000000000
χ412-2-222-22-222-2-2-22-222-2-2-2-222200002-22-200002-20000002-2-2200000000000000000000000000002-200
χ422-2-222-22-222-2-2-22-222-2-2-2-222200002-22-200002-2000000-222-20000000000000000000000000000-2200
χ432-2-222-22-222-2-2-22-222-2-2-2-22220000-22-220000-220000002-2-220000000000000000000000000000-2200
χ442-2-222-22-222-2-2-22-222-2-2-2-22220000-22-220000-22000000-222-200000000000000000000000000002-200
χ452-2-222-22-222-2-2-22-22-22222-2-2-200002-22-20000-2200000000002i−2i2i−2i000000000000000000000000002i−2i
χ462-2-222-22-222-2-2-22-22-22222-2-2-200002-22-20000-220000000000−2i2i−2i2i00000000000000000000000000−2i2i
χ472-2-222-22-222-2-2-22-22-22222-2-2-20000-22-2200002-200000000002i−2i2i−2i00000000000000000000000000−2i2i
χ482-2-222-22-222-2-2-22-22-22222-2-2-20000-22-2200002-20000000000−2i2i−2i2i000000000000000000000000002i−2i
χ492-2-2-2-22-2-222222-2-222-222-2-2-222-22-200000000002-20000000000002-2-220000000000000000002-20000
χ502-2-2-2-22-2-222222-2-222-222-2-2-222-22-200000000002-2000000000000-222-2000000000000000000-220000
χ512-2-2-2-22-2-222222-2-222-222-2-2-22-22-220000000000-220000000000002-2-22000000000000000000-220000
χ522-2-2-2-22-2-222222-2-222-222-2-2-22-22-220000000000-22000000000000-222-20000000000000000002-20000
χ532-2-2-2-22-2-222222-2-22-22-2-2222-22-22-200002-22-200-22000000000000000000000000000000002-2000000
χ542-2-2-2-22-2-222222-2-22-22-2-2222-22-22-20000-22-2200-2200000000000000000000000000000000-22000000
χ552-2-2-2-22-2-222222-2-22-22-2-2222-2-22-2200002-22-2002-200000000000000000000000000000000-22000000
χ562-2-2-2-22-2-222222-2-22-22-2-2222-2-22-220000-22-22002-2000000000000000000000000000000002-2000000
χ572-2-2-2-2-2222-222-222-2-22-22-22-22000000002-2-220000000000002-2-2200000000000000002-22-200000000
χ582-2-2-2-2-2222-222-222-2-22-22-22-22000000002-2-22000000000000-222-20000000000000000-22-2200000000
χ592-2-2-2-2-2222-222-222-2-22-22-22-2200000000-222-20000000000002-2-220000000000000000-22-2200000000
χ602-2-2-2-2-2222-222-222-2-22-22-22-2200000000-222-2000000000000-222-200000000000000002-22-200000000
χ6144444-4-4-44-444-4-4-4-4-4-4-444-44400000000000000000000000000000000000000000000000000000000
χ62444-4-444-44-4-4-444-4-4-4-44-444-4400000000000000000000000000000000000000000000000000000000
χ63444-4-4-4-4444-4-4-4-44444-4-44-4-4400000000000000000000000000000000000000000000000000000000
χ64444-4-4-4-4444-4-4-4-444-4-444-444-400000000000000000000000000000000000000000000000000000000
χ6544-44-4444-444-4-4-4-4-40000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ6644-44-4444-444-4-4-4-4-4000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ6744-4-4444-4-4-4-44-4-444000000000000000000000000004-4000000000000000000000000000000000000
χ6844-4-4444-4-4-4-44-4-44400000000000000000000000000-44000000000000000000000000000000000000
χ6944-4-44-4-44-44-4444-4-40000000000000000000000000000000000000000000022−22−22220000000000000000
χ7044-4-44-4-44-44-4444-4-400000000000000000000000000000000000000000000−222222−220000000000000000
χ714-444-44-44-4-4-44-44-440000000000004-4-44000000000000000000000000000000000000000000000000
χ724-444-44-44-4-4-44-44-44000000000000-444-4000000000000000000000000000000000000000000000000
χ734-444-4-44-4-44-444-44-4000000000000000000000000000000000000000022−22−222200000000000000000000
χ744-444-4-44-4-44-444-44-40000000000000000000000000000000000000000−222222−2200000000000000000000
χ754-44-444-4-4-444-4-444-4000000000000000000000000000000000000000000000000000022−22−222200000000
χ764-44-444-4-4-444-4-444-40000000000000000000000000000000000000000000000000000−222222−2200000000
χ774-44-44-444-4-44-44-4-44000000004-4-440000000000000000000000000000000000000000000000000000
χ784-44-44-444-4-44-44-4-4400000000-444-40000000000000000000000000000000000000000000000000000
χ794-4-4444-444-4-4-44-44-4-444-4-4-44400000000000000000000000000000000000000000000000000000000
χ804-4-4-4-4-4444-444-444-44-44-44-44-400000000000000000000000000000000000000000000000000000000

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