Finite Group Databasebeta

← Group #72252653

Character table — Group #72252653

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size111122222222222222222244444444448888888888888888888888888888881616161616161616161616161616161616161616323232323232323232323232
order1222222222444444448888222288888822444488888888161616161616161616161616161616164444444444881616161616161616224444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-111
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-111111-1-1
χ511111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-11-1-1-1111-1-1-1-1
χ611111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-1-11111
χ711111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ811111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111
χ91111111111111111111111-1-1-1-111111111-1-111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-11111-1-1
χ101111111111111111111111-1-1-1-111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-111
χ111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ121111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1111111
χ131111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111
χ141111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-1
χ151111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-11-1-1-11-1-11111
χ161111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11-1111-111-1-1-1-1
χ17222222222222222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000002200000000-2-200000000000000000000
χ18222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-2-2-222220000000000000000-2-2000000002200000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2222222-2-2-2-20000000000000000-2-2000000002200000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000002200000000-2-200000000000000000000
χ212222222222-2-2-2-2-2-2-2-2000022220000002-2-2-22-2000000002222−2−2−2−22222−2−2−2−22-2000000000022−2−222−2−2000000000000
χ222222222222-2-2-2-2-2-2-2-2000022220000002-2-2-22-200000000−2−2−2−22222−2−2−2−222222-20000000000−2−222−2−222000000000000
χ232222222222-2-2-2-2-2-2-2-200002222000000-22-2-2-22000000002222−2−2−2−2−2−2−2−22222-22000000000022−2−2−2−222000000000000
χ242222222222-2-2-2-2-2-2-2-200002222000000-22-2-2-2200000000−2−2−2−222222222−2−2−2−2-220000000000−2−22222−2−2000000000000
χ252222222222-2-2-2-2-2-2-2-20000-2-2-2-20000002-2222-2000000002222−2−2−2−22222−2−2−2−2-220000000000−2−222−2−222000000000000
χ262222222222-2-2-2-2-2-2-2-20000-2-2-2-20000002-2222-200000000−2−2−2−22222−2−2−2−22222-22000000000022−2−222−2−2000000000000
χ272222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000-2222-22000000002222−2−2−2−2−2−2−2−222222-20000000000−2−22222−2−2000000000000
χ282222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000-2222-2200000000−2−2−2−222222222−2−2−2−22-2000000000022−2−2−2−222000000000000
χ2922222-22-2-2-2222-2-2-2-22-2-2-2-20000222-22-200000000000000000000002i2i−2i−2i2i2i−2i−2i0000002i2i−2i−2i0000000000002-200000000
χ3022222-22-2-2-2222-2-2-2-22-2-2-2-20000222-22-200000000000000000000002i2i−2i−2i2i2i−2i−2i000000−2i−2i2i2i000000000000-2200000000
χ3122222-22-2-2-2222-2-2-2-22-2-2-2-20000222-22-20000000000000000000000−2i−2i2i2i−2i−2i2i2i0000002i2i−2i−2i000000000000-2200000000
χ3222222-22-2-2-2222-2-2-2-22-2-2-2-20000222-22-20000000000000000000000−2i−2i2i2i−2i−2i2i2i000000−2i−2i2i2i0000000000002-200000000
χ332222-22-22-2-22-2-222-2-22-2-2-2-2000022-22-22000000000000002i2i−2i−2i2i2i−2i−2i000000000000002i−2i2i−2i000000000002000-2000000
χ342222-22-22-2-22-2-222-2-22-2-2-2-2000022-22-22000000000000002i2i−2i−2i2i2i−2i−2i00000000000000−2i2i−2i2i00000000000-20002000000
χ352222-22-22-2-22-2-222-2-22-2-2-2-2000022-22-2200000000000000−2i−2i2i2i−2i−2i2i2i000000000000002i−2i2i−2i00000000000-20002000000
χ362222-22-22-2-22-2-222-2-22-2-2-2-2000022-22-2200000000000000−2i−2i2i2i−2i−2i2i2i00000000000000−2i2i−2i2i000000000002000-2000000
χ372222-2-2-2-2222-2-2-2-22222222000022-2-2-2-22-200-22000022-2-200000000000000000000002-2-22000000000000000000002-2
χ382222-2-2-2-2222-2-2-2-22222222000022-2-2-2-22-200-22000022-2-20000000000000000000000-222-200000000000000000000-22
χ392222-2-2-2-2222-2-2-2-22222222000022-2-2-2-2-22002-20000-2-22200000000000000000000002-2-2200000000000000000000-22
χ402222-2-2-2-2222-2-2-2-22222222000022-2-2-2-2-22002-20000-2-2220000000000000000000000-222-2000000000000000000002-2
χ412222-2-2-2-2222-2-2-2-2222-2-2-2-20000-2-222222-200-220000-2-22200000000000000000022-2-2000000000000002000-20000000
χ422222-2-2-2-2222-2-2-2-2222-2-2-2-20000-2-222222-200-220000-2-222000000000000000000-2-22200000000000000-200020000000
χ432222-2-2-2-2222-2-2-2-2222-2-2-2-20000-2-22222-22002-2000022-2-200000000000000000022-2-200000000000000-200020000000
χ442222-2-2-2-2222-2-2-2-2222-2-2-2-20000-2-22222-22002-2000022-2-2000000000000000000-2-222000000000000002000-20000000
χ452-2-2222-2-2-22-22-22-22-2222-2-200002-2-222-200000000000000000000002i−2i2i−2i2i−2i2i−2i002-22-200000000000000000000002i−2i00
χ462-2-2222-2-2-22-22-22-22-2222-2-200002-2-222-200000000000000000000002i−2i2i−2i2i−2i2i−2i00-22-220000000000000000000000−2i2i00
χ472-2-2222-2-2-22-22-22-22-2222-2-200002-2-222-20000000000000000000000−2i2i−2i2i−2i2i−2i2i002-22-20000000000000000000000−2i2i00
χ482-2-2222-2-2-22-22-22-22-2222-2-200002-2-222-20000000000000000000000−2i2i−2i2i−2i2i−2i2i00-22-2200000000000000000000002i−2i00
χ492-2-222-2-222-22-222-22-2-2000022-2-2000000002-20000002i−2i2i−2ii2−i2i2−i2i2−i2i2−i22−2−22−222−200000000002i−2ii2−i2i2−i22−22−2000000000000
χ502-2-222-2-222-22-222-22-2-2000022-2-2000000002-20000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−222−22−2−2200000000002i−2i−i2i2−i2i2−22−22000000000000
χ512-2-222-2-222-22-222-22-2-2000022-2-2000000002-2000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2−222−22−2−220000000000−2i2ii2−i2i2−i2−22−22000000000000
χ522-2-222-2-222-22-222-22-2-2000022-2-2000000002-2000000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i22−2−22−222−20000000000−2i2i−i2i2−i2i22−22−2000000000000
χ532-2-222-2-222-22-222-22-2-20000-2-22200000000-220000002i−2i2i−2ii2−i2i2−i2i2−i2i2−i22−2−22−222−20000000000−2i2i−i2i2−i2i2−22−22000000000000
χ542-2-222-2-222-22-222-22-2-20000-2-22200000000-220000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−222−22−2−220000000000−2i2ii2−i2i2−i22−22−2000000000000
χ552-2-222-2-222-22-222-22-2-20000-2-22200000000-22000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2−222−22−2−2200000000002i−2i−i2i2−i2i22−22−2000000000000
χ562-2-222-2-222-22-222-22-2-20000-2-22200000000-22000000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i22−2−22−222−200000000002i−2ii2−i2i2−i2−22−22000000000000
χ572-2-222-2-222-2-22-2-22-22222-2-222-2-2-2222-2-200-220022-2-200002i−2i2i−2i−2i2i−2i2i000000000000000000002i−2i−2i2i0000000000000000
χ582-2-222-2-222-2-22-2-22-22222-2-222-2-2-2222-2-200-220022-2-20000−2i2i−2i2i2i−2i2i−2i00000000000000000000−2i2i2i−2i0000000000000000
χ592-2-222-2-222-2-22-2-22-22222-2-2-2-222-2222-2-2002-200-2-22200002i−2i2i−2i−2i2i−2i2i00000000000000000000−2i2i2i−2i0000000000000000
χ602-2-222-2-222-2-22-2-22-22222-2-2-2-222-2222-2-2002-200-2-2220000−2i2i−2i2i2i−2i2i−2i000000000000000000002i−2i−2i2i0000000000000000
χ612-2-222-2-222-2-22-2-22-222-2-22222-2-22-2-2-22200-2200-2-2220000000000002-2-222-2-2200000000000000002-2-22000000000000
χ622-2-222-2-222-2-22-2-22-222-2-22222-2-22-2-2-22200-2200-2-222000000000000-222-2-222-20000000000000000-222-2000000000000
χ632-2-222-2-222-2-22-2-22-222-2-222-2-2222-2-2-222002-20022-2-20000000000002-2-222-2-220000000000000000-222-2000000000000
χ642-2-222-2-222-2-22-2-22-222-2-222-2-2222-2-2-222002-20022-2-2000000000000-222-2-222-200000000000000002-2-22000000000000
χ652-2-22-2-222-22-2-22-222-22-2-2220000-22-222-2000000000000002-2-22-222-200000000002-2-22000000000000000000002-20000
χ662-2-22-2-222-22-2-22-222-22-2-2220000-22-222-2000000000000002-2-22-222-20000000000-222-200000000000000000000-220000
χ672-2-22-2-222-22-2-22-222-22-2-2220000-22-222-200000000000000-222-22-2-2200000000002-2-2200000000000000000000-220000
χ682-2-22-2-222-22-2-22-222-22-2-2220000-22-222-200000000000000-222-22-2-220000000000-222-2000000000000000000002-20000
χ6944444-44-4-4-4444-4-4-4-4444440000-4-4-44-4400000000000000000000000000000000000000000000000000000000000000
χ7044444-44-4-4-4-4-4-44444-40000000000000000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000
χ7144444-44-4-4-4-4-4-44444-4000000000000000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000
χ724444-44-44-4-44-4-444-4-4444440000-4-44-44-400000000000000000000000000000000000000000000000000000000000000
χ734444-44-44-4-4-444-4-444-400000000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000000000
χ744444-44-44-4-4-444-4-444-40000000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000000000
χ754444-4-4-4-444-44444-4-4-4000000000000004400-4-400000000000000000000000000000000000000000000000000000000
χ764444-4-4-4-444-44444-4-4-400000000000000-4-4004400000000000000000000000000000000000000000000000000000000
χ774-4-4444-4-4-444-44-44-44-40000000000000000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000
χ784-4-4444-4-4-444-44-44-44-4000000000000000000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000
χ794-4-4444-4-4-44-44-44-44-44-4-4440000-444-4-4400000000000000000000000000000000000000000000000000000000000000
χ804-4-44-444-44-444-4-444-4-40000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ814-4-44-444-44-444-4-444-4-4000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ824-4-44-444-44-4-4-444-4-44444-4-40000-44-4-44400000000000000000000000000000000000000000000000000000000000000
χ834-4-44-444-44-4-4-444-4-444-4-44400004-444-4-400000000000000000000000000000000000000000000000000000000000000
χ844-4-44-4-444-4444-44-4-44-4000000000000000000000000000022−22−222222−22−22220000000000000000000000000000000000000000
χ854-4-44-4-444-4444-44-4-44-40000000000000000000000000000−222222−22−222222−220000000000000000000000000000000000000000
χ864-4-44-4-444-44-4-44-444-4444-4-400004-44-4-4400000000000000000000000000000000000000000000000000000000000000
χ8788-8-8000000000000004i2−4i24i2−4i24-44-40000000000002i2−2i22i2−2i20000000000000000000000000000000000000000000000000000
χ8888-8-8000000000000004i2−4i24i2−4i2-44-44000000000000−2i22i2−2i22i20000000000000000000000000000000000000000000000000000
χ8988-8-800000000000000−4i24i2−4i24i24-44-4000000000000−2i22i2−2i22i20000000000000000000000000000000000000000000000000000
χ9088-8-800000000000000−4i24i2−4i24i2-44-440000000000002i2−2i22i2−2i20000000000000000000000000000000000000000000000000000
χ918-88-8000000000000004i2−4i2−4i24i24-4-440000000000002i2−2i2−2i22i20000000000000000000000000000000000000000000000000000
χ928-88-8000000000000004i2−4i2−4i24i2-444-4000000000000−2i22i22i2−2i20000000000000000000000000000000000000000000000000000
χ938-88-800000000000000−4i24i24i2−4i24-4-44000000000000−2i22i22i2−2i20000000000000000000000000000000000000000000000000000
χ948-88-800000000000000−4i24i24i2−4i2-444-40000000000002i2−2i2−2i22i20000000000000000000000000000000000000000000000000000

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