Finite Group Databasebeta

← Group #270992

Character table — Group #270992

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222222244444444444444444444448888888888888888444444444488888888222444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ711111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1111111-1-1
χ911111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-11-1
χ1011111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-1-111-11
χ1111111111-1-1-1-1111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-111-11
χ1211111111-1-1-1-1111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111111-1-1-111-1-11-1
χ1311111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1111-1-111-1-1-11
χ1411111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-111-1-1111-1
χ1511111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1111-1-1-1-1111-1
χ1611111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-11-1-1-11111-1-1-11
χ172222222222222222222-2-2-2-22-2-2-2-2-20000-20000000000000000220000002200000000-200-200000000
χ182222222222222222222-2-2-2-22-2-2-2-2-20000-20000000000000000-2-2000000-2-200000000200200000000
χ19222222222222-2-2-2-2-2-2-22222-2-2-2-2222222-2000000000000000000-2-2-2-2220000000000000000000000
χ20222222222222-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2-20000000000000000002222-2-20000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-200002000000000000000000000000000000000002-202-2000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-20000200000000000000000000000000000000000-220-22000000
χ2322222222-2-2-2-2222-2-2-2-2-2-2-2-22-222220000-2000000000000000022000000-2-200000000200-200000000
χ2422222222-2-2-2-2222-2-2-2-2-2-2-2-22-222220000-20000000000000000-2-20000002200000000-200200000000
χ2522222222-2-2-2-2-2-2-222222222-2-222-2-22222-2000000000000000000-2-222-2-20000000000000000000000
χ2622222222-2-2-2-2-2-2-222222222-2-222-2-2-2-2-2-2-200000000000000000022-2-2220000000000000000000000
χ2722222222-2-2-2-2-2-2-22222-2-2-2-2-22-2-22200002000000000000000000000000000000000002-20-22000000
χ2822222222-2-2-2-2-2-2-22222-2-2-2-2-22-2-2220000200000000000000000000000000000000000-2202-2000000
χ2922-22-2-2-2200000002i2i−2i−2i2-22-2002i−2i0022-2-20i2i2i2i2−i2−i2−i2−i22222−2−2−2−200002i−2i0000i2i2−i2−i222−2−2000000000000
χ3022-22-2-2-2200000002i2i−2i−2i2-22-2002i−2i0022-2-20−i2−i2−i2−i2i2i2i2i2−2−2−2−2222200002i−2i0000−i2−i2i2i2−2−222000000000000
χ3122-22-2-2-2200000002i2i−2i−2i2-22-2002i−2i00-2-2220i2i2i2i2−i2−i2−i2−i22222−2−2−2−20000−2i2i0000−i2−i2i2i2−2−222000000000000
χ3222-22-2-2-2200000002i2i−2i−2i2-22-2002i−2i00-2-2220−i2−i2−i2−i2i2i2i2i2−2−2−2−222220000−2i2i0000i2i2−i2−i222−2−2000000000000
χ3322-22-2-2-220000000−2i−2i2i2i2-22-200−2i2i0022-2-20i2i2i2i2−i2−i2−i2−i2−2−2−2−222220000−2i2i0000i2i2−i2−i2−2−222000000000000
χ3422-22-2-2-220000000−2i−2i2i2i2-22-200−2i2i0022-2-20−i2−i2−i2−i2i2i2i2i22222−2−2−2−20000−2i2i0000−i2−i2i2i222−2−2000000000000
χ3522-22-2-2-220000000−2i−2i2i2i2-22-200−2i2i00-2-2220i2i2i2i2−i2−i2−i2−i2−2−2−2−2222200002i−2i0000−i2−i2i2i222−2−2000000000000
χ3622-22-2-2-220000000−2i−2i2i2i2-22-200−2i2i00-2-2220−i2−i2−i2−i2i2i2i2i22222−2−2−2−200002i−2i0000i2i2−i2−i2−2−222000000000000
χ372-22-22-2-2222-2-2000000022-2-200002-22-22-20i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000002-200i2−i2i2−i2i2−i2i2−i2000000000000
χ382-22-22-2-2222-2-2000000022-2-200002-22-22-20−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000002-200−i2i2−i2i2−i2i2−i2i2000000000000
χ392-22-22-2-2222-2-2000000022-2-200002-2-22-220i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000-2200−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-22-2-2222-2-2000000022-2-200002-2-22-220−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000-2200i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-22-2-22-2-222000000022-2-20000-222-22-20i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000-2200i2−i2i2−i2−i2i2−i2i2000000000000
χ422-22-22-2-22-2-222000000022-2-20000-222-22-20−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000-2200−i2i2−i2i2i2−i2i2−i2000000000000
χ432-22-22-2-22-2-222000000022-2-20000-22-22-220i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000002-200−i2i2−i2i2i2−i2i2−i2000000000000
χ442-22-22-2-22-2-222000000022-2-20000-22-22-220−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000002-200i2−i2i2−i2−i2i2−i2i2000000000000
χ452-2-2222-2-22-22-222-22-22-20000-200000000002−22−22−22−22−22−22−22−22i−2i0000002i−2i00000000000000i2−i2i2−i200
χ462-2-2222-2-22-22-222-22-22-20000-200000000002−22−22−22−22−22−22−22−2−2i2i000000−2i2i00000000000000−i2i2−i2i200
χ472-2-2222-2-22-22-222-22-22-20000-20000000000−22−22−22−22−22−22−22−222i−2i0000002i−2i00000000000000−i2i2−i2i200
χ482-2-2222-2-22-22-222-22-22-20000-20000000000−22−22−22−22−22−22−22−22−2i2i000000−2i2i00000000000000i2−i2i2−i200
χ492-2-2222-2-2-22-2222-2-22-220000-200000000002−22−22−22−2−22−22−22−222i−2i000000−2i2i00000000000000i2−i2−i2i200
χ502-2-2222-2-2-22-2222-2-22-220000-200000000002−22−22−22−2−22−22−22−22−2i2i0000002i−2i00000000000000−i2i2i2−i200
χ512-2-2222-2-2-22-2222-2-22-220000-20000000000−22−22−22−222−22−22−22−22i−2i000000−2i2i00000000000000−i2i2i2−i200
χ522-2-2222-2-2-22-2222-2-22-220000-20000000000−22−22−22−222−22−22−22−2−2i2i0000002i−2i00000000000000i2−i2−i2i200
χ532-2-2-2-222200002-2200002-2-22-2200002-2-22-2000000002i2i−2i−2i−2i−2i2i2i002-200000000002i−2i−2i2i000000000000
χ542-2-2-2-222200002-2200002-2-22-2200002-2-22-200000000−2i−2i2i2i2i2i−2i−2i002-20000000000−2i2i2i−2i000000000000
χ552-2-2-2-222200002-2200002-2-22-220000-222-2-2000000002i2i−2i−2i−2i−2i2i2i00-220000000000−2i2i2i−2i000000000000
χ562-2-2-2-222200002-2200002-2-22-220000-222-2-200000000−2i−2i2i2i2i2i−2i−2i00-2200000000002i−2i−2i2i000000000000
χ572-2-2-2-22220000-22-200002-2-222-200002-2-22222-2-2-2-2220000000000-220000002-2-220000000000000000
χ582-2-2-2-22220000-22-200002-2-222-200002-2-222-2-22222-2-20000000000-22000000-222-20000000000000000
χ592-2-2-2-22220000-22-200002-2-222-20000-222-2222-2-2-2-22200000000002-2000000-222-20000000000000000
χ602-2-2-2-22220000-22-200002-2-222-20000-222-22-2-22222-2-200000000002-20000002-2-220000000000000000
χ61444-4-44-4-400004-4-40000000040000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ62444-4-44-4-400004-4-4000000004000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ63444-4-44-4-40000-44400000000-4000000000022−22−2222−222222−2200000000000000000000000000000000000000
χ64444-4-44-4-40000-44400000000-40000000000−222222−2222−22−222200000000000000000000000000000000000000
χ6544-44-4-4-4400000004i4i−4i−4i-44-4400−4i4i00000000000000000000000000000000000000000000000000000
χ6644-44-4-4-440000000−4i−4i4i4i-44-44004i−4i00000000000000000000000000000000000000000000000000000
χ6744-4-44-44-44-4-4400000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6844-4-44-44-44-4-440000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ6944-4-44-44-4-444-400000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ7044-4-44-44-4-444-40000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ714-444-4-44-400000004i−4i−4i4i0000000000000002i−2i2i−2i−2i2i−2i2i2-22-2-22-22000000000000000000000000000000
χ724-444-4-44-400000004i−4i−4i4i000000000000000−2i2i−2i2i2i−2i2i−2i-22-222-22-2000000000000000000000000000000
χ734-444-4-44-40000000−4i4i4i−4i0000000000000002i−2i2i−2i−2i2i−2i2i-22-222-22-2000000000000000000000000000000
χ744-444-4-44-40000000−4i4i4i−4i000000000000000−2i2i−2i2i2i−2i2i−2i2-22-2-22-22000000000000000000000000000000
χ754-44-44-4-4444-4-40000000-4-4440000-44000000000000000000000000000000000000000000000000000
χ764-44-44-4-44-4-4440000000-4-44400004-4000000000000000000000000000000000000000000000000000
χ774-4-4444-4-44-44-4-4-44-44-440000400000000000000000000000000000000000000000000000000000000
χ784-4-4444-4-4-44-44-4-444-44-40000400000000000000000000000000000000000000000000000000000000
χ794-4-4-4-444400004-440000-444-4-4-40000000040000000000000000000000000000000000000000000000
χ804-4-4-4-44440000-44-40000-444-44400000000-40000000000000000000000000000000000000000000000

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