Finite Group Databasebeta

← Group #299266

Character table — Group #299266

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222222222222222224444444444444444444444444488888888888888161616161616161632323232
order12222244444444888888884444448888888888888888888824888888888888222244444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ911111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-11-11
χ1211111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-111-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-11111-1-11-1-11
χ172222222-2-2-2-22222222-2-2-2-22222-2-222-2-20000000000000000-2-20000000022-2-2000000000000
χ182222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-200000000000000002200000000-2-222000000000000
χ192222222-2-2-2-2222-2-2-2-222222222-2-2-2-2220000000000000000-2-200000000-2-222000000000000
χ202222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-2-2-2220000000000000000220000000022-2-2000000000000
χ212222-2-2222-2-2-2-220000000022-2-22-20000000000002222-2-2-2-22-2000022-2-20000000000000000
χ222222-2-2222-2-2-2-220000000022-2-22-2000000000000-2-2-2-222222-20000-2-2220000000000000000
χ232222-2-2222-2-2-2-2200000000-2-2222-20000000000002222-2-2-2-2-220000-2-2220000000000000000
χ242222-2-2222-2-2-2-2200000000-2-2222-2000000000000-2-2-2-22222-22000022-2-20000000000000000
χ252222-2-22-2-222-2-220000000022-2-2-2200002222-2-2-2-200000000-2222-2-200000000000000000000
χ262222-2-22-2-222-2-220000000022-2-2-220000-2-2-2-2222200000000-22-2-22200000000000000000000
χ272222-2-22-2-222-2-2200000000-2-222-2200002222-2-2-2-2000000002-2-2-22200000000000000000000
χ282222-2-22-2-222-2-2200000000-2-222-220000-2-2-2-22222000000002-222-2-200000000000000000000
χ292222-2-2-2222222-2222222220000-2-2-2-2-2-200000000000000000000000000000000002-22-20000
χ302222-2-2-2222222-2222222220000-2-2-2-2-2-20000000000000000000000000000000000-22-220000
χ312222-2-2-2222222-2-2-2-2-2-2-2-2-20000-2-2222200000000000000000000000000000000002-2-220000
χ322222-2-2-2222222-2-2-2-2-2-2-2-2-20000-2-222220000000000000000000000000000000000-222-20000
χ332222-2-2-2-2-2-2-222-22222-2-2-2-2000022-2-2220000000000000000000000000000002-22-200000000
χ342222-2-2-2-2-2-2-222-22222-2-2-2-2000022-2-222000000000000000000000000000000-22-2200000000
χ352222-2-2-2-2-2-2-222-2-2-2-2-2222200002222-2-20000000000000000000000000000002-2-2200000000
χ362222-2-2-2-2-2-2-222-2-2-2-2-2222200002222-2-2000000000000000000000000000000-222-200000000
χ372-2-222-2200002-2-2000022-2-22i−2i2i−2i00002-222−2−222−2−222−2−222−2−200i2−i2i2−i2i2−i2i2−i2002i−2i000000000000
χ382-2-222-2200002-2-2000022-2-22i−2i2i−2i00002-2−2−222−2−222−2−222−2−22200−i2i2−i2i2−i2i2−i2i2002i−2i000000000000
χ392-2-222-2200002-2-2000022-2-2−2i2i−2i2i00002-222−2−222−2−222−2−222−2−200−i2i2−i2i2−i2i2−i2i200−2i2i000000000000
χ402-2-222-2200002-2-2000022-2-2−2i2i−2i2i00002-2−2−222−2−222−2−222−2−22200i2−i2i2−i2i2−i2i2−i200−2i2i000000000000
χ412-2-222-2200002-2-20000-2-2222i−2i2i−2i0000-2222−2−222−2−2−2−222−2−22200i2−i2i2−i2−i2i2−i2i200−2i2i000000000000
χ422-2-222-2200002-2-20000-2-2222i−2i2i−2i0000-22−2−222−2−22222−2−222−2−200−i2i2−i2i2i2−i2i2−i200−2i2i000000000000
χ432-2-222-2200002-2-20000-2-222−2i2i−2i2i0000-2222−2−222−2−2−2−222−2−22200−i2i2−i2i2i2−i2i2−i2002i−2i000000000000
χ442-2-222-2200002-2-20000-2-222−2i2i−2i2i0000-22−2−222−2−22222−2−222−2−200i2−i2i2−i2−i2i2−i2i2002i−2i000000000000
χ452-2-22-2220000-22-222-2-200002i−2i−2i2i002-20022−2−2−2−22222−2−2−2−22200i2−i2−i2i2i2−i2−i2i22i−2i00000000000000
χ462-2-22-2220000-22-222-2-200002i−2i−2i2i002-200−2−22222−2−2−2−22222−2−200−i2i2i2−i2−i2i2i2−i22i−2i00000000000000
χ472-2-22-2220000-22-222-2-20000−2i2i2i−2i002-20022−2−2−2−22222−2−2−2−22200−i2i2i2−i2−i2i2i2−i2−2i2i00000000000000
χ482-2-22-2220000-22-222-2-20000−2i2i2i−2i002-200−2−22222−2−2−2−22222−2−200i2−i2−i2i2i2−i2−i2i2−2i2i00000000000000
χ492-2-22-2220000-22-2-2-22200002i−2i−2i2i00-220022−2−2−2−222−2−22222−2−200i2−i2−i2i2−i2i2i2−i2−2i2i00000000000000
χ502-2-22-2220000-22-2-2-22200002i−2i−2i2i00-2200−2−22222−2−222−2−2−2−22200−i2i2i2−i2i2−i2−i2i2−2i2i00000000000000
χ512-2-22-2220000-22-2-2-2220000−2i2i2i−2i00-220022−2−2−2−222−2−22222−2−200−i2i2i2−i2i2−i2−i2i22i−2i00000000000000
χ522-2-22-2220000-22-2-2-2220000−2i2i2i−2i00-2200−2−22222−2−222−2−2−2−22200i2−i2−i2i2−i2i2i2−i22i−2i00000000000000
χ53444444-444-4-4-4-4-4000000000000-440000000000000000000000000000000000000000000000
χ54444444-4-4-444-4-4-40000000000004-40000000000000000000000000000000000000000000000
χ5544-4-4000004-400022−2222−2222−2222−22000000000000002i2−2i22i2−2i22i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ5644-4-4000004-400022−2222−2222−2222−2200000000000000−2i22i2−2i22i2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ5744-4-4000004-4000−2222−2222−2222−2222000000000000002i2−2i22i2−2i2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ5844-4-4000004-4000−2222−2222−2222−222200000000000000−2i22i2−2i22i22i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ5944-4-400000-4400022−2222−22−2222−222200000000002i2−2i22i2−2i200002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ6044-4-400000-4400022−2222−22−2222−22220000000000−2i22i2−2i22i20000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ6144-4-400000-44000−2222−222222−2222−2200000000002i2−2i22i2−2i20000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ6244-4-400000-44000−2222−222222−2222−220000000000−2i22i2−2i22i200002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ634-44-40004-40000022−22−222222−22−222200000000002i−2i−2i2i2i−2i−2i2i00002i2−2i2−2i22i200000000000000000000000000
χ644-44-40004-40000022−22−222222−22−22220000000000−2i2i2i−2i−2i2i2i−2i0000−2i22i22i2−2i200000000000000000000000000
χ654-44-40004-400000−222222−22−222222−2200000000002i−2i−2i2i2i−2i−2i2i0000−2i22i22i2−2i200000000000000000000000000
χ664-44-40004-400000−222222−22−222222−220000000000−2i2i2i−2i−2i2i2i−2i00002i2−2i2−2i22i200000000000000000000000000
χ674-44-4000-440000022−22−2222−222222−2200000000002i−2i−2i2i−2i2i2i−2i2i2−2i2−2i22i2000000000000000000000000000000
χ684-44-4000-440000022−22−2222−222222−220000000000−2i2i2i−2i2i−2i−2i2i−2i22i22i2−2i2000000000000000000000000000000
χ694-44-4000-4400000−222222−2222−22−222200000000002i−2i−2i2i−2i2i2i−2i−2i22i22i2−2i2000000000000000000000000000000
χ704-44-4000-4400000−222222−2222−22−22220000000000−2i2i2i−2i2i−2i−2i2i2i2−2i2−2i22i2000000000000000000000000000000
χ714-4-444-4-40000-44444-4-40000000000-4400000000000000000000000000000000000000000000
χ724-4-444-4-40000-444-4-44400000000004-400000000000000000000000000000000000000000000
χ734-4-44-44-400004-44000044-4-400000000-44000000000000000000000000000000000000000000
χ744-4-44-44-400004-440000-4-444000000004-4000000000000000000000000000000000000000000

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