Finite Group Databasebeta

← Group #295482

Character table — Group #295482

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444444444444448888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ91111111111-1-1-1-1-1-1-1-1111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-11-1
χ101111111111-1-1-1-1-1-1-1-1111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-111-1-111-11
χ111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111111-111-1-1-1-111-11
χ121111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-11-1-11111-1-11-1
χ131111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-11
χ141111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1111-1-1-1-1111-1
χ151111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-11-1-1-111-1-1111-1
χ161111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-1-1111-1-111-1-1-11
χ17222222222222222222-2-2-222-2-2-20000-2-2-2-20000000000000000000000222200000000-2-20000000000
χ18222222222222222222-2-2-222-2-2-20000-2-2-2-20000000000000000000000-2-2-2-200000000220000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2-222-222000022-2-2000000000000000000000022-2-200000000-220000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-222-222000022-2-20000000000000000000000-2-222000000002-20000000000
χ2122222222-2-22222-2-2-2-2222-2-22222222-2-2-2-20000000000000000-2-2-2-222000000000000000000000000
χ2222222222-2-22222-2-2-2-2222-2-2222-2-2-2-2-2-2-2-200000000000000002222-2-2000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000002-22-2000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000-22-22000000
χ2522222222-2-2-2-2-2-22222222-2-22-2-2222222-2-2000000000000000022-2-2-2-2000000000000000000000000
χ2622222222-2-2-2-2-2-22222222-2-22-2-2-2-2-2-222-2-20000000000000000-2-22222000000000000000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-2220000-2-2220000000000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-2220000-2-222000000000000000000000000000000000000-222-2000000
χ2922-22-2-22-20022-2-200002-2-20022-22i2i−2i−2i0000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200002i−2i000022−2−222−2−2000000000000
χ3022-22-2-22-20022-2-200002-2-20022-22i2i−2i−2i0000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200002i−2i0000−2−222−2−222000000000000
χ3122-22-2-22-20022-2-200002-2-20022-2−2i−2i2i2i0000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i0000−2−222−2−222000000000000
χ3222-22-2-22-20022-2-200002-2-20022-2−2i−2i2i2i0000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i000022−2−222−2−2000000000000
χ3322-22-2-22-200-2-22200002-2-2002-222i2i−2i−2i0000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000−2i2i000022−2−2−2−222000000000000
χ3422-22-2-22-200-2-22200002-2-2002-222i2i−2i−2i0000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000−2i2i0000−2−22222−2−2000000000000
χ3522-22-2-22-200-2-22200002-2-2002-22−2i−2i2i2i0000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200002i−2i0000−2−22222−2−2000000000000
χ3622-22-2-22-200-2-22200002-2-2002-22−2i−2i2i2i0000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200002i−2i000022−2−2−2−222000000000000
χ372-22-22-22-22-200000000-22-22-22002i−2i2i−2i002-2000000002i2i−2i−2i2i2i−2i−2i002i−2i00000000002-22-2000000000000
χ382-22-22-22-22-200000000-22-22-22002i−2i2i−2i002-200000000−2i−2i2i2i−2i−2i2i2i002i−2i0000000000-22-22000000000000
χ392-22-22-22-22-200000000-22-22-2200−2i2i−2i2i002-2000000002i2i−2i−2i2i2i−2i−2i00−2i2i0000000000-22-22000000000000
χ402-22-22-22-22-200000000-22-22-2200−2i2i−2i2i002-200000000−2i−2i2i2i−2i−2i2i2i00−2i2i00000000002-22-2000000000000
χ412-22-22-22-2-2200000000-22-2-222002i−2i2i−2i00-222i2i−2i−2i2i2i−2i−2i0000000000−2i2i0000002-22-20000000000000000
χ422-22-22-22-2-2200000000-22-2-222002i−2i2i−2i00-22−2i−2i2i2i−2i−2i2i2i0000000000−2i2i000000-22-220000000000000000
χ432-22-22-22-2-2200000000-22-2-22200−2i2i−2i2i00-222i2i−2i−2i2i2i−2i−2i00000000002i−2i000000-22-220000000000000000
χ442-22-22-22-2-2200000000-22-2-22200−2i2i−2i2i00-22−2i−2i2i2i−2i−2i2i2i00000000002i−2i0000002-22-20000000000000000
χ452-2-2222-2-2-2-22-22-222-2-200022000000000002−22−22−22−22−22−22−22−20000002i−2i2i−2i00000000000000i2−i2i2−i200
χ462-2-2222-2-2-2-22-22-222-2-200022000000000002−22−22−22−22−22−22−22−2000000−2i2i−2i2i00000000000000−i2i2−i2i200
χ472-2-2222-2-2-2-22-22-222-2-20002200000000000−22−22−22−22−22−22−22−220000002i−2i2i−2i00000000000000−i2i2−i2i200
χ482-2-2222-2-2-2-22-22-222-2-20002200000000000−22−22−22−22−22−22−22−22000000−2i2i−2i2i00000000000000i2−i2i2−i200
χ492-2-2222-2-2-2-2-22-22-2-22200022000000000002−22−22−22−2−22−22−22−220000002i−2i−2i2i00000000000000i2−i2−i2i200
χ502-2-2222-2-2-2-2-22-22-2-22200022000000000002−22−22−22−2−22−22−22−22000000−2i2i2i−2i00000000000000−i2i2i2−i200
χ512-2-2222-2-2-2-2-22-22-2-2220002200000000000−22−22−22−222−22−22−22−20000002i−2i−2i2i00000000000000−i2i2i2−i200
χ522-2-2222-2-2-2-2-22-22-2-2220002200000000000−22−22−22−222−22−22−22−2000000−2i2i2i−2i00000000000000i2−i2−i2i200
χ532-2-2-2-22220000002-22-2-2-22002002-2-222-20022−2−2−2−22222−2−2−2−2222-2000000002−2−222−2−22000000000000
χ542-2-2-2-22220000002-22-2-2-22002002-2-222-200−2−22222−2−2−2−22222−2−22-200000000−222−2−222−2000000000000
χ552-2-2-2-22220000002-22-2-2-2200200-222-22-20022−2−2−2−22222−2−2−2−222-2200000000−222−2−222−2000000000000
χ562-2-2-2-22220000002-22-2-2-2200200-222-22-200−2−22222−2−2−2−22222−2−2-22000000002−2−222−2−22000000000000
χ572-2-2-2-2222000000-22-22-2-22002002-2-22-220022−2−2−2−222−2−22222−2−2-22000000002−2−22−222−2000000000000
χ582-2-2-2-2222000000-22-22-2-22002002-2-22-2200−2−22222−2−222−2−2−2−222-2200000000−222−22−2−22000000000000
χ592-2-2-2-2222000000-22-22-2-2200200-222-2-220022−2−2−2−222−2−22222−2−22-200000000−222−22−2−22000000000000
χ602-2-2-2-2222000000-22-22-2-2200200-222-2-2200−2−22222−2−222−2−2−2−2222-2000000002−2−22−222−2000000000000
χ61444-4-44-4-40000004-4-4400000000000000002-2-22-222-22-2-22-222-2000000000000000000000000000000
χ62444-4-44-4-40000004-4-440000000000000000-222-22-2-22-222-22-2-22000000000000000000000000000000
χ63444-4-44-4-4000000-444-400000000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000
χ64444-4-44-4-4000000-444-40000000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000
χ6544-44-4-44-40044-4-40000-44400-4-44000000000000000000000000000000000000000000000000000000
χ6644-44-4-44-400-4-4440000-44400-44-4000000000000000000000000000000000000000000000000000000
χ6744-4-44-4-444-400000000000-44000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ6844-4-44-4-444-400000000000-4400000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ6944-4-44-4-44-44000000000004-400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ7044-4-44-4-44-44000000000004-40000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ714-444-4-4-44004-4-44000000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ724-444-4-4-44004-4-4400000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ734-444-4-4-4400-444-4000000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ744-444-4-4-4400-444-400000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ754-44-44-44-44-4000000004-444-4-400000000-440000000000000000000000000000000000000000000000
χ764-44-44-44-4-44000000004-44-44-4000000004-40000000000000000000000000000000000000000000000
χ774-4-4444-4-4444-44-4-4-444000-4-4000000000000000000000000000000000000000000000000000000000
χ784-4-4444-4-444-44-4444-4-4000-4-4000000000000000000000000000000000000000000000000000000000
χ794-4-4-4-44440000004-44-444-400-4000000-44000000000000000000000000000000000000000000000000
χ804-4-4-4-4444000000-44-4444-400-40000004-4000000000000000000000000000000000000000000000000

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