Finite Group Databasebeta

← Group #270982

Character table — Group #270982

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444422444444448888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
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
χ711111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-111
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
χ91111111111-1-1-1-111-1-1-1-11111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-111-1-111-1-11-1
χ101111111111-1-1-1-111-1-1-1-11111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-111-11
χ111111111111-1-1-1-111-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111111-111-1-1-1-111-11
χ121111111111-1-1-1-111-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-11-1
χ131111111111-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-11
χ141111111111-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1111-1-1-1-1111-1
χ151111111111-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11-1-1-111-1-1111-1
χ161111111111-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1111-1-111-1-1-11
χ1722222222222222-2-2222222-2-2-2-2-2-2-20000-20000000000000000002200220000000000-2-20000000000
χ1822222222222222-2-2222222-2-2-2-2-2-2-20000-2000000000000000000-2-200-2-20000000000220000000000
χ192222222222-2-2-2-2-2-2-2-2-2-222-2-222-2220000-20000000000000000002200-2-20000000000-220000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-2-222-2220000-2000000000000000000-2-2002200000000002-20000000000
χ2122222222-2-2222222-2-2-2-2-2-222-2-2-2222222-200000000000000002200-2-200-2-200000000000000000000
χ2222222222-2-2222222-2-2-2-2-2-222-2-2-222-2-2-2-2-20000000000000000-2-20022002200000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-2222-2-2000020000000000000000000000000000000000002-22-2000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-2222-2-200002000000000000000000000000000000000000-22-22000000
χ2522222222-2-2-2-2-2-2222222-2-22222-2-2-22222-20000000000000000-2-2002200-2-200000000000000000000
χ2622222222-2-2-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-200000000000000002200-2-2002200000000000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222000020000000000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222200002000000000000000000000000000000000000-222-2000000
χ2922-2-2-2-2220000002222-2-200-2-22-20002i2i−2i−2i02222−2−2−2−22222−2−2−2−200002i−2i0000i2i2−i2−i2i2i2−i2−i2000000000000
χ3022-2-2-2-2220000002222-2-200-2-22-20002i2i−2i−2i0−2−2−2−22222−2−2−2−2222200002i−2i0000−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-2-2-2-2220000002222-2-200-2-22-2000−2i−2i2i2i02222−2−2−2−22222−2−2−2−20000−2i2i0000−i2−i2i2i2−i2−i2i2i2000000000000
χ3222-2-2-2-2220000002222-2-200-2-22-2000−2i−2i2i2i0−2−2−2−22222−2−2−2−222220000−2i2i0000i2i2−i2−i2i2i2−i2−i2000000000000
χ3322-2-2-2-22200000022-2-22200-2-2-220002i2i−2i−2i02222−2−2−2−2−2−2−2−222220000−2i2i0000i2i2−i2−i2−i2−i2i2i2000000000000
χ3422-2-2-2-22200000022-2-22200-2-2-220002i2i−2i−2i0−2−2−2−222222222−2−2−2−20000−2i2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ3522-2-2-2-22200000022-2-22200-2-2-22000−2i−2i2i2i02222−2−2−2−2−2−2−2−2222200002i−2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ3622-2-2-2-22200000022-2-22200-2-2-22000−2i−2i2i2i0−2−2−2−222222222−2−2−2−200002i−2i0000i2i2−i2−i2−i2−i2i2i2000000000000
χ372-222-2-2-22002i2i−2i−2i2-20000002-20002i−2i2i−2i2i−2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i22-200000000i2−i2i2−i22−22−2000000000000
χ382-222-2-2-22002i2i−2i−2i2-20000002-20002i−2i2i−2i2i−2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i22-200000000−i2i2−i2i2−22−22000000000000
χ392-222-2-2-22002i2i−2i−2i2-20000002-20002i−2i−2i2i−2i2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i2-2200000000−i2i2−i2i2−22−22000000000000
χ402-222-2-2-22002i2i−2i−2i2-20000002-20002i−2i−2i2i−2i2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i2-2200000000i2−i2i2−i22−22−2000000000000
χ412-222-2-2-2200−2i−2i2i2i2-20000002-2000−2i2i2i−2i2i−2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i2-2200000000i2−i2i2−i2−22−22000000000000
χ422-222-2-2-2200−2i−2i2i2i2-20000002-2000−2i2i2i−2i2i−2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i2-2200000000−i2i2−i2i22−22−2000000000000
χ432-222-2-2-2200−2i−2i2i2i2-20000002-2000−2i2i−2i2i−2i2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i22-200000000−i2i2−i2i22−22−2000000000000
χ442-222-2-2-2200−2i−2i2i2i2-20000002-2000−2i2i−2i2i−2i2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i22-200000000i2−i2i2−i2−22−22000000000000
χ452-22-22-22-22-22i−2i2i−2i002i−2i2i−2i2-20000000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i2002i−2i002-20000000000000000i2−i22−200
χ462-22-22-22-22-22i−2i2i−2i002i−2i2i−2i2-20000000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200−2i2i00-220000000000000000−i2i2−2200
χ472-22-22-22-22-22i−2i2i−2i002i−2i2i−2i2-2000000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i2002i−2i002-20000000000000000−i2i2−2200
χ482-22-22-22-22-22i−2i2i−2i002i−2i2i−2i2-2000000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i200−2i2i00-220000000000000000i2−i22−200
χ492-22-22-22-22-2−2i2i−2i2i00−2i2i−2i2i2-20000000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i2002i−2i00-220000000000000000i2−i2−2200
χ502-22-22-22-22-2−2i2i−2i2i00−2i2i−2i2i2-20000000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i200−2i2i002-20000000000000000−i2i22−200
χ512-22-22-22-22-2−2i2i−2i2i00−2i2i−2i2i2-2000000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i2002i−2i00-220000000000000000−i2i22−200
χ522-22-22-22-22-2−2i2i−2i2i00−2i2i−2i2i2-2000000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i200−2i2i002-20000000000000000i2−i2−2200
χ532-2-2-222-222200002-20000-2-2-22002002-2-22-2000000002i2i−2i−2i−2i−2i2i2i000000002-20000−2i2i2i−2i000000000000
χ542-2-2-222-222200002-20000-2-2-22002002-2-22-200000000−2i−2i2i2i2i2i−2i−2i000000002-200002i−2i−2i2i000000000000
χ552-2-2-222-222200002-20000-2-2-2200200-222-2-2000000002i2i−2i−2i−2i−2i2i2i00000000-2200002i−2i−2i2i000000000000
χ562-2-2-222-222200002-20000-2-2-2200200-222-2-200000000−2i−2i2i2i2i2i−2i−2i00000000-220000−2i2i2i−2i000000000000
χ572-2-2-222-22-2-200002-2000022-2200-2002-2-22222-2-2-2-2220000000000000000-222-2-220000000000000000
χ582-2-2-222-22-2-200002-2000022-2200-2002-2-222-2-22222-2-20000000000000000-22-222-20000000000000000
χ592-2-2-222-22-2-200002-2000022-2200-200-222-2222-2-2-2-22200000000000000002-2-222-20000000000000000
χ602-2-2-222-22-2-200002-2000022-2200-200-222-22-2-22222-2-200000000000000002-22-2-220000000000000000
χ61444-4-44-4-4004-4-44000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ62444-4-44-4-4004-4-4400000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000
χ63444-4-44-4-400-444-4000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000
χ64444-4-44-4-400-444-400000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000
χ6544-444-4-4-44-40000000000-440000000000000000000022−22−2222−222222−22000000000000000000000000000000
χ6644-444-4-4-44-40000000000-4400000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ6744-444-4-4-4-4400000000004-400000000000022−22−2222−222222−2200000000000000000000000000000000000000
χ6844-444-4-4-4-4400000000004-4000000000000−222222−2222−22−222200000000000000000000000000000000000000
χ6944-4-4-4-444000000-4-444-4-40044-44000000000000000000000000000000000000000000000000000000
χ7044-4-4-4-444000000-4-4-4-44400444-4000000000000000000000000000000000000000000000000000000
χ714-444-4-4-44004i4i−4i−4i-44000000-44000−4i4i000000000000000000000000000000000000000000000000000
χ724-444-4-4-4400−4i−4i4i4i-44000000-440004i−4i000000000000000000000000000000000000000000000000000
χ734-44-44-44-4-444i−4i4i−4i00−4i4i−4i4i-440000000000000000000000000000000000000000000000000000000000
χ744-44-44-44-4-44−4i4i−4i4i004i−4i4i−4i-440000000000000000000000000000000000000000000000000000000000
χ754-4-44-444-4000000004i−4i−4i4i000000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ764-4-44-444-4000000004i−4i−4i4i00000000000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ774-4-44-444-400000000−4i4i4i−4i000000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ784-4-44-444-400000000−4i4i4i−4i00000000000000-22-222-22-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ794-4-4-444-44440000-440000-4-44-400-400000040000000000000000000000000000000000000000000000
χ804-4-4-444-44-4-40000-440000444-4004000000-40000000000000000000000000000000000000000000000

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