Finite Group Databasebeta

← Group #417786

Character table — Group #417786

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222222244444444444444448888888888888888222244444444222244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111
χ1722222222-2-2-2-22-2222-2-2-200000000000000002222-2-2-2-2002200-2-200000000002-20000000000
χ1822222222-2-2-2-22-2222-2-2-200000000000000002222-2-2-2-200-2-200220000000000-220000000000
χ1922222222-2-2-2-22-2222-2-2-20000000000000000-2-2-2-22222002200-2-20000000000-220000000000
χ2022222222-2-2-2-22-2222-2-2-20000000000000000-2-2-2-2222200-2-2002200000000002-20000000000
χ2122222222-2-2-2-2-22-2-2-2222000000002222-2-2-2-2000000002200-2-200000000002-2000000000000
χ2222222222-2-2-2-2-22-2-2-2222000000002222-2-2-2-200000000-2-200220000000000-22000000000000
χ2322222222-2-2-2-2-22-2-2-222200000000-2-2-2-22222000000002200-2-20000000000-22000000000000
χ2422222222-2-2-2-2-22-2-2-222200000000-2-2-2-2222200000000-2-2002200000000002-2000000000000
χ25222-2-2-2-222-2-22-2-222-222-22222-2-2-2-200000000000000000000000022-2-22-20000000000000000
χ26222-2-2-2-222-2-22-2-222-222-22222-2-2-2-2000000000000000000000000-2-222-220000000000000000
χ27222-2-2-2-222-2-22-2-222-222-2-2-2-2-2222200000000000000000000000022-2-2-220000000000000000
χ28222-2-2-2-222-2-22-2-222-222-2-2-2-2-22222000000000000000000000000-2-2222-20000000000000000
χ292-2-222-2-2222-2-2-2-22-222-22000000000000000022-2-222-2-22-2002-20000000000000000002-20000
χ302-2-222-2-2222-2-2-2-22-222-22000000000000000022-2-222-2-2-2200-22000000000000000000-220000
χ312-2-222-2-2222-2-2-2-22-222-220000000000000000-2-222-2-2222-2002-2000000000000000000-220000
χ322-2-222-2-2222-2-2-2-22-222-220000000000000000-2-222-2-222-2200-220000000000000000002-20000
χ332-2-222-2-22-2-2222-2-22-22-2222-2-222-2-200000000000000002-200-2200000000000000002-2000000
χ342-2-222-2-22-2-2222-2-22-22-2222-2-222-2-20000000000000000-22002-20000000000000000-22000000
χ352-2-222-2-22-2-2222-2-22-22-22-2-222-2-22200000000000000002-200-220000000000000000-22000000
χ362-2-222-2-22-2-2222-2-22-22-22-2-222-2-2220000000000000000-22002-200000000000000002-2000000
χ372-2-222-2-22-2-222-222-22-22-2000000000000000022-2-2-2-222000000002-22-2000000002-200000000
χ382-2-222-2-22-2-222-222-22-22-2000000000000000022-2-2-2-22200000000-22-2200000000-2200000000
χ392-2-222-2-22-2-222-222-22-22-20000000000000000-2-22222-2-2000000002-22-200000000-2200000000
χ402-2-222-2-22-2-222-222-22-22-20000000000000000-2-22222-2-200000000-22-22000000002-200000000
χ412-2-2-2-22222-22-2-2-2-222-2220000000022-2-222-2-200000000002-2002-2000000000000000000002-2
χ422-2-2-2-22222-22-2-2-2-222-2220000000022-2-222-2-20000000000-2200-2200000000000000000000-22
χ432-2-2-2-22222-22-2-2-2-222-22200000000-2-222-2-22200000000002-2002-200000000000000000000-22
χ442-2-2-2-22222-22-2-2-2-222-22200000000-2-222-2-2220000000000-2200-22000000000000000000002-2
χ452-2-2-2-2222-22-222-22-2-2-2220000000022-2-2-2-22200000000000000002-2-22002-200000000000000
χ462-2-2-2-2222-22-222-22-2-2-2220000000022-2-2-2-2220000000000000000-222-200-2200000000000000
χ472-2-2-2-2222-22-222-22-2-2-22200000000-2-22222-2-200000000000000002-2-2200-2200000000000000
χ482-2-2-2-2222-22-222-22-2-2-22200000000-2-22222-2-20000000000000000-222-2002-200000000000000
χ492-2-2-2-2222-22-22-22-2222-2-222-2-2-2-2220000000000000000002-200-220000000000000000002-200
χ502-2-2-2-2222-22-22-22-2222-2-222-2-2-2-222000000000000000000-22002-2000000000000000000-2200
χ512-2-2-2-2222-22-22-22-2222-2-2-2-22222-2-20000000000000000002-200-22000000000000000000-2200
χ522-2-2-2-2222-22-22-22-2222-2-2-2-22222-2-2000000000000000000-22002-20000000000000000002-200
χ53444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000
χ54444-4-4-4-444-4-4444-4-44-4-44000000000000000000000000000000000000000000000000000000
χ55444-4-4-4-44-444-44-4-4-4444-4000000000000000000000000000000000000000000000000000000
χ56444-4-4-4-44-444-4-4444-4-4-44000000000000000000000000000000000000000000000000000000
χ5744-44-44-4-40000000000002i−2i2i−2i2i−2i2i−2i00002i2−2i22i2−2i2000022−2222−22000000000000000000000000000000
χ5844-44-44-4-40000000000002i−2i2i−2i2i−2i2i−2i0000−2i22i2−2i22i20000−2222−2222000000000000000000000000000000
χ5944-44-44-4-4000000000000−2i2i−2i2i−2i2i−2i2i00002i2−2i22i2−2i20000−2222−2222000000000000000000000000000000
χ6044-44-44-4-4000000000000−2i2i−2i2i−2i2i−2i2i0000−2i22i2−2i22i2000022−2222−22000000000000000000000000000000
χ6144-4-44-44-40000000000002i−2i2i−2i−2i2i−2i2i2i2−2i22i2−2i2000022−2222−220000000000000000000000000000000000
χ6244-4-44-44-40000000000002i−2i2i−2i−2i2i−2i2i−2i22i2−2i22i20000−2222−22220000000000000000000000000000000000
χ6344-4-44-44-4000000000000−2i2i−2i2i2i−2i2i−2i2i2−2i22i2−2i20000−2222−22220000000000000000000000000000000000
χ6444-4-44-44-4000000000000−2i2i−2i2i2i−2i2i−2i−2i22i2−2i22i2000022−2222−220000000000000000000000000000000000
χ654-444-4-44-40000000000002i−2i−2i2i2i−2i−2i2i2i2−2i2−2i22i20000000022−22−2222000000000000000000000000000000
χ664-444-4-44-40000000000002i−2i−2i2i2i−2i−2i2i−2i22i22i2−2i200000000−222222−22000000000000000000000000000000
χ674-444-4-44-4000000000000−2i2i2i−2i−2i2i2i−2i2i2−2i2−2i22i200000000−222222−22000000000000000000000000000000
χ684-444-4-44-4000000000000−2i2i2i−2i−2i2i2i−2i−2i22i22i2−2i20000000022−22−2222000000000000000000000000000000
χ694-44-444-4-40000000000002i−2i−2i2i−2i2i2i−2i00002i2−2i2−2i22i222−22−22220000000000000000000000000000000000
χ704-44-444-4-40000000000002i−2i−2i2i−2i2i2i−2i0000−2i22i22i2−2i2−222222−220000000000000000000000000000000000
χ714-44-444-4-4000000000000−2i2i2i−2i2i−2i−2i2i00002i2−2i2−2i22i2−222222−220000000000000000000000000000000000
χ724-44-444-4-4000000000000−2i2i2i−2i2i−2i−2i2i0000−2i22i22i2−2i222−22−22220000000000000000000000000000000000
χ734-4-444-4-4444-4-444-44-4-44-4000000000000000000000000000000000000000000000000000000
χ744-4-4-4-44444-44-4444-4-44-4-4000000000000000000000000000000000000000000000000000000

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