Finite Group Databasebeta

← Group #270974

Character table — Group #270974

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444422444444448888888888888888222244444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ9111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-11111-1-11-1
χ10111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-1-1-111-11
χ11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-11-1-111-1-111-11
χ12111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111111-111-1-111-1-11-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1111-1-111-1-1-11
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1-1-111-1-1111-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1111-1-1-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-11-1-1-11111-1-1-11
χ172222222222-2-22222222222-2-2-2-2-2-2-20000-20000000000000000002222000000000000-2-20000000000
χ182222222222-2-22222222222-2-2-2-2-2-2-20000-2000000000000000000-2-2-2-2000000000000220000000000
χ192222222222-2-2-2-2-2-2-2-2-2-222-2-22222-20000-200000000000000000022-2-20000000000002-20000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-2-22222-20000-2000000000000000000-2-222000000000000-220000000000
χ2122222222-2-2222222-2-2-2-2-2-22222-2-2-22222-20000000000000000-2-2000022-2-200000000000000000000
χ2222222222-2-2222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000220000-2-22200000000000000000000
χ2322222222-2-222-2-2-2-22222-2-222-2-222-22222-20000000000000000220000-2-2-2-200000000000000000000
χ2422222222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2-2-20000000000000000-2-20000222200000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222000020000000000000000000000000000000000002-22-2000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222200002000000000000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-22000020000000000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2200002000000000000000000000000000000000000-222-2000000
χ2922-2-2-222-2002-200002i2i−2i−2i002-2002i−2i02i2i−2i−2i0i2i2i2i2−i2−i2−i2−i22222−2−2−2−22-20000000022−2−2i2i2−i2−i2000000000000
χ3022-2-2-222-2002-200002i2i−2i−2i002-2002i−2i02i2i−2i−2i0−i2−i2−i2−i2i2i2i2i2−2−2−2−222222-200000000−2−222−i2−i2i2i2000000000000
χ3122-2-2-222-2002-200002i2i−2i−2i002-2002i−2i0−2i−2i2i2i0i2i2i2i2−i2−i2−i2−i22222−2−2−2−2-2200000000−2−222−i2−i2i2i2000000000000
χ3222-2-2-222-2002-200002i2i−2i−2i002-2002i−2i0−2i−2i2i2i0−i2−i2−i2−i2i2i2i2i2−2−2−2−22222-220000000022−2−2i2i2−i2−i2000000000000
χ3322-2-2-222-2002-20000−2i−2i2i2i002-200−2i2i02i2i−2i−2i0i2i2i2i2−i2−i2−i2−i2−2−2−2−22222-220000000022−2−2−i2−i2i2i2000000000000
χ3422-2-2-222-2002-20000−2i−2i2i2i002-200−2i2i02i2i−2i−2i0−i2−i2−i2−i2i2i2i2i22222−2−2−2−2-2200000000−2−222i2i2−i2−i2000000000000
χ3522-2-2-222-2002-20000−2i−2i2i2i002-200−2i2i0−2i−2i2i2i0i2i2i2i2−i2−i2−i2−i2−2−2−2−222222-200000000−2−222i2i2−i2−i2000000000000
χ3622-2-2-222-2002-20000−2i−2i2i2i002-200−2i2i0−2i−2i2i2i0−i2−i2−i2−i2i2i2i2i22222−2−2−2−22-20000000022−2−2−i2−i2i2i2000000000000
χ372-222-22-2-200-2-222-2-2000000222-20002i−2i2i−2i022−2−222−2−222−2−222−2−20000002i−2i00i2−i2i2−i2i2−i2i2−i2000000000000
χ382-222-22-2-200-2-222-2-2000000222-20002i−2i2i−2i0−2−222−2−222−2−222−2−2220000002i−2i00−i2i2−i2i2−i2i2−i2i2000000000000
χ392-222-22-2-200-2-222-2-2000000222-2000−2i2i−2i2i022−2−222−2−222−2−222−2−2000000−2i2i00−i2i2−i2i2−i2i2−i2i2000000000000
χ402-222-22-2-200-2-222-2-2000000222-2000−2i2i−2i2i0−2−222−2−222−2−222−2−222000000−2i2i00i2−i2i2−i2i2−i2i2−i2000000000000
χ412-222-22-2-200-2-2-2-22200000022-220002i−2i2i−2i022−2−222−2−2−2−222−2−222000000−2i2i00i2−i2i2−i2−i2i2−i2i2000000000000
χ422-222-22-2-200-2-2-2-22200000022-220002i−2i2i−2i0−2−222−2−22222−2−222−2−2000000−2i2i00−i2i2−i2i2i2−i2i2−i2000000000000
χ432-222-22-2-200-2-2-2-22200000022-22000−2i2i−2i2i022−2−222−2−2−2−222−2−2220000002i−2i00−i2i2−i2i2i2−i2i2−i2000000000000
χ442-222-22-2-200-2-2-2-22200000022-22000−2i2i−2i2i0−2−222−2−22222−2−222−2−20000002i−2i00i2−i2i2−i2−i2i2−i2i2000000000000
χ452-22-22-22-22-2002i−2i2i−2i2i−2i2i−2i2-2000000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−2002-22i−2i000000000000000000i2−i22−200
χ462-22-22-22-22-2002i−2i2i−2i2i−2i2i−2i2-2000000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−200-22−2i2i000000000000000000−i2i2−2200
χ472-22-22-22-22-2002i−2i2i−2i2i−2i2i−2i2-2000000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−22002-22i−2i000000000000000000−i2i2−2200
χ482-22-22-22-22-2002i−2i2i−2i2i−2i2i−2i2-2000000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200-22−2i2i000000000000000000i2−i22−200
χ492-22-22-22-22-200−2i2i−2i2i−2i2i−2i2i2-2000000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−22002-2−2i2i000000000000000000i2−i2−2200
χ502-22-22-22-22-200−2i2i−2i2i−2i2i−2i2i2-2000000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200-222i−2i000000000000000000−i2i22−200
χ512-22-22-22-22-200−2i2i−2i2i−2i2i−2i2i2-2000000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−2002-2−2i2i000000000000000000−i2i22−200
χ522-22-22-22-22-200−2i2i−2i2i−2i2i−2i2i2-2000000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−200-222i−2i000000000000000000i2−i2−2200
χ532-2-2-222-2222-2200000000-2-22-2000022-2-22-22i2i−2i−2i−2i−2i2i2i00000000000000002-2−2i2i2i−2i0000000000000000
χ542-2-2-222-2222-2200000000-2-22-2000022-2-22-2−2i−2i2i2i2i2i−2i−2i00000000000000002-22i−2i−2i2i0000000000000000
χ552-2-2-222-2222-2200000000-2-22-200002-222-2-22i2i−2i−2i−2i−2i2i2i0000000000000000-222i−2i−2i2i0000000000000000
χ562-2-2-222-2222-2200000000-2-22-200002-222-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000-22−2i2i2i−2i0000000000000000
χ572-2-2-222-22-2-2-2200000000222-20000-22-2-2220000000022-2-2-2-22200000000-2200002-2-22000000000000
χ582-2-2-222-22-2-2-2200000000222-20000-22-2-22200000000-2-22222-2-200000000-220000-222-2000000000000
χ592-2-2-222-22-2-2-2200000000222-20000-2-222-220000000022-2-2-2-222000000002-20000-222-2000000000000
χ602-2-2-222-22-2-2-2200000000222-20000-2-222-2200000000-2-22222-2-2000000002-200002-2-22000000000000
χ61444-4-4-4-4400004i−4i−4i4i0000000000000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-22000000000000000000000000000000
χ62444-4-4-4-4400004i−4i−4i4i000000000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-2000000000000000000000000000000
χ63444-4-4-4-440000−4i4i4i−4i0000000000000000002i−2i−2i2i2i−2i−2i2i-222-2-222-2000000000000000000000000000000
χ64444-4-4-4-440000−4i4i4i−4i000000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-22000000000000000000000000000000
χ6544-444-4-4-44-40000000000-4400000000000022−22−2222−222222−2200000000000000000000000000000000000000
χ6644-444-4-4-44-40000000000-44000000000000−222222−2222−22−222200000000000000000000000000000000000000
χ6744-444-4-4-4-4400000000004-40000000000000000000022−22−2222−222222−22000000000000000000000000000000
χ6844-444-4-4-4-4400000000004-400000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ6944-4-4-444-400-4400004i4i−4i−4i00-4400−4i4i0000000000000000000000000000000000000000000000000000
χ7044-4-4-444-400-440000−4i−4i4i4i00-44004i−4i0000000000000000000000000000000000000000000000000000
χ714-444-44-4-4004444-4-4000000-4-4-44000000000000000000000000000000000000000000000000000000
χ724-444-44-4-40044-4-444000000-4-44-4000000000000000000000000000000000000000000000000000000
χ734-44-44-44-4-44004i−4i4i−4i−4i4i−4i4i-440000000000000000000000000000000000000000000000000000000000
χ744-44-44-44-4-4400−4i4i−4i4i4i−4i4i−4i-440000000000000000000000000000000000000000000000000000000000
χ754-4-44-4-444000000004-4-44000000000000002-22-2-22-222-22-2-22-22000000000000000000000000000000
χ764-4-44-4-444000000004-4-4400000000000000-22-222-22-2-22-222-22-2000000000000000000000000000000
χ774-4-44-4-44400000000-444-4000000000000002-22-2-22-22-22-222-22-2000000000000000000000000000000
χ784-4-44-4-44400000000-444-400000000000000-22-222-22-22-22-2-22-22000000000000000000000000000000
χ794-4-4-444-44444-400000000-4-4-440000-4000040000000000000000000000000000000000000000000000
χ804-4-4-444-44-4-44-40000000044-44000040000-40000000000000000000000000000000000000000000000

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