Finite Group Databasebeta

← Group #72316516

Character table — Group #72316516

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size111111112222444444444444444444448888888888888888888888888888888888881616161616161616161616161616161616161616161616163232323232323232
order1222444422442222224444444444444422222222222244444444444444444444444424444444444444448888888844444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111111111111111-1-111-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111111-1-1111111-1-1-1-11111-1-111-1-111-1-11111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ11111111111111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ12111111111111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ13111111111111-1-1111111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111
χ14111111111111-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1
χ15111111111111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-11111-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ16111111111111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-111
χ171111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-111-11-11-11-11-111-1-111-1-11-11-11-11-1
χ181111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-11-1-11-11-11-1111-1-111-1-1-11-11-11-11
χ191111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-111-111-11-1-11-11-1-111-1-1111-11-1-11-11
χ201111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-11-11-111-11-1-1-111-1-111-11-111-11-1
χ211111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-11-11-111-11-11-11-11-1-1-111-1-111-11-11-11-11
χ221111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1111111-1-111-1-11-11-1-11-11-11-11-1-111-1-1111-11-11-11-1
χ231111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-111-1-111-1-11-111-111-11-1-11-1111-1-111-1-1-11-111-11-1
χ241111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1111-111-1-1-11-11-111-11-111-1-111-1-11-11-1-11-11
χ251111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-11-11-1-111-1-111-1-1111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-111-11-11-111-1-111-111-1-1-1-111-111-1-111-1
χ271111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-11111-11-1-11-11-1-11-111-1-1-11111-1-11-1-11-111-1
χ281111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-11-1-1111-1-111-11-1-11-1-11111-1-1-111-11-1-11
χ291111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-11-11-11-1-111-1-111-1-11-1-11111-1-1-111-1-111-1
χ301111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-11-11-111-1-111-1-1-11111-1-11-1-111-1-11
χ311111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-111-1-11111-11-1-11-11-1-11-111-111-1-1-1-111-111-11-1-11
χ321111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-11111-1-1-1-111-11-1-1111-1-111-11-1-1111-1-1-1-1111-1-11-111-1
χ332222222222222222-2-2-2-2-2-2-2-222-2-222-2-22-20000000022000000002-200000000220000000220000000-2-2-2-20000000000000000
χ342222222222222222-2-2-2-2-2-2-2-222-2-222-2-22-200000000-2-2000000002-200000000-2-20000000-2-2000000022220000000000000000
χ3522222222222222-2-222-2-2-2-2-2-2-2-22222-2-2-22000000220000000000-220000002200000020000200-2-2-2-200000000000000000000
χ3622222222222222-2-222-2-2-2-2-2-2-2-22222-2-2-22000000-2-20000000000-22000000-2-2000000-20000-200222200000000000000000000
χ3722222222222222-2-2-2-2222222-2-2-2-22222-2-2000022000000000000-2-20000220000-2-2-2-2022000-2-2000000000000000000000000
χ3822222222222222-2-2-2-2222222-2-2-2-22222-2-20000-2-2000000000000-2-20000-2-2000022220-2-200022000000000000000000000000
χ39222222222222-2-222-2-2-2-2222222-2-2-2-2-2-2-22000000002200000000-2200000000220000000-2-20000000-2-2220000000000000000
χ40222222222222-2-222-2-2-2-2222222-2-2-2-2-2-2-2200000000-2-200000000-2200000000-2-2000000022000000022-2-20000000000000000
χ41222222222222-2-2-2-222-2-22222-2-222-2-2-2-22-20000002200000000002-200000022000000-20000-200-2-22200000000000000000000
χ42222222222222-2-2-2-222-2-22222-2-222-2-2-2-22-2000000-2-200000000002-2000000-2-20000002000020022-2-200000000000000000000
χ43222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-22222000022000000000000220000220000-2-2-2-20-2-200022000000000000000000000000
χ44222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-222220000-2-2000000000000220000-2-200002222022000-2-2000000000000000000000000
χ452222-2-2-2-222-2-22222-2-222-2-222-2-222-2-2-2-22-2000000002200000000-2200000000-2-200000002-20000000-22-220000000000000000
χ462222-2-2-2-222-2-22222-2-222-2-222-2-222-2-2-2-22-200000000-2-200000000-2200000000220000000-2200000002-22-20000000000000000
χ472222-2-2-2-222-2-222-2-22222-2-22222-2-2-2-2-2-2-220000002200000000002-2000000-2-2000000-20000200-22-2200000000000000000000
χ482222-2-2-2-222-2-222-2-22222-2-22222-2-2-2-2-2-2-22000000-2-200000000002-20000002200000020000-2002-22-200000000000000000000
χ492222-2-2-2-222-2-222-2-2-2-2-2-222-2-22222-2-222-2-2000022000000000000220000-2-20000-2-22202-2000-22000000000000000000000000
χ502222-2-2-2-222-2-222-2-2-2-2-2-222-2-22222-2-222-2-20000-2-200000000000022000022000022-2-20-220002-2000000000000000000000000
χ512222-2-2-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-220000000022000000002-200000000-2-20000000-220000000-222-20000000000000000
χ522222-2-2-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-2200000000-2-2000000002-2000000002200000002-200000002-2-220000000000000000
χ532222-2-2-2-222-2-2-2-2-2-2222222-2-222-2-222-2-22-2000000220000000000-22000000-2-200000020000-200-222-200000000000000000000
χ542222-2-2-2-222-2-2-2-2-2-2222222-2-222-2-222-2-22-2000000-2-20000000000-2200000022000000-200002002-2-2200000000000000000000
χ552222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222222222000022000000000000-2-20000-2-20000-2-2220-220002-2000000000000000000000000
χ562222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222222222220000-2-2000000000000-2-2000022000022-2-202-2000-22000000000000000000000000
χ5722-2-22i2i−2i−2i2-22i−2i002-22-22i−2i00002i−2i2i−2i002-200002-22-2000000002-22i−2i00002i−2i2i−2i00002-22i−2i000000000000000000002-22i−2i00000000
χ5822-2-22i2i−2i−2i2-22i−2i002-22-22i−2i00002i−2i2i−2i002-200002-2-22000000002-22i−2i00002i−2i−2i2i0000-22−2i2i00000000000000000000-22−2i2i00000000
χ5922-2-22i2i−2i−2i2-22i−2i002-22-22i−2i00002i−2i2i−2i002-20000-222-200000000-22−2i2i0000−2i2i2i−2i00002-22i−2i00000000000000000000-22−2i2i00000000
χ6022-2-22i2i−2i−2i2-22i−2i002-22-22i−2i00002i−2i2i−2i002-20000-22-2200000000-22−2i2i0000−2i2i−2i2i0000-22−2i2i000000000000000000002-22i−2i00000000
χ6122-2-22i2i−2i−2i2-22i−2i00-22-222i−2i0000−2i2i−2i2i002-2002-2002-200002-22i−2i0000002i−2i002i−2i0000-22−2i2i00000000000000002-22i−2i000000000000
χ6222-2-22i2i−2i−2i2-22i−2i00-22-222i−2i0000−2i2i−2i2i002-2002-200-2200002-22i−2i0000002i−2i00−2i2i00002-22i−2i0000000000000000-22−2i2i000000000000
χ6322-2-22i2i−2i−2i2-22i−2i00-22-222i−2i0000−2i2i−2i2i002-200-22002-20000-22−2i2i000000−2i2i002i−2i0000-22−2i2i0000000000000000-22−2i2i000000000000
χ6422-2-22i2i−2i−2i2-22i−2i00-22-222i−2i0000−2i2i−2i2i002-200-2200-220000-22−2i2i000000−2i2i00−2i2i00002-22i−2i00000000000000002-22i−2i000000000000
χ6522-2-2−2i−2i2i2i2-2−2i2i002-22-2−2i2i0000−2i2i−2i2i002-200002-22-2000000002-2−2i2i0000−2i2i−2i2i00002-2−2i2i000000000000000000002-2−2i2i00000000
χ6622-2-2−2i−2i2i2i2-2−2i2i002-22-2−2i2i0000−2i2i−2i2i002-200002-2-22000000002-2−2i2i0000−2i2i2i−2i0000-222i−2i00000000000000000000-222i−2i00000000
χ6722-2-2−2i−2i2i2i2-2−2i2i002-22-2−2i2i0000−2i2i−2i2i002-20000-222-200000000-222i−2i00002i−2i−2i2i00002-2−2i2i00000000000000000000-222i−2i00000000
χ6822-2-2−2i−2i2i2i2-2−2i2i002-22-2−2i2i0000−2i2i−2i2i002-20000-22-2200000000-222i−2i00002i−2i2i−2i0000-222i−2i000000000000000000002-2−2i2i00000000
χ6922-2-2−2i−2i2i2i2-2−2i2i00-22-22−2i2i00002i−2i2i−2i002-2002-2002-200002-2−2i2i000000−2i2i00−2i2i0000-222i−2i00000000000000002-2−2i2i000000000000
χ7022-2-2−2i−2i2i2i2-2−2i2i00-22-22−2i2i00002i−2i2i−2i002-2002-200-2200002-2−2i2i000000−2i2i002i−2i00002-2−2i2i0000000000000000-222i−2i000000000000
χ7122-2-2−2i−2i2i2i2-2−2i2i00-22-22−2i2i00002i−2i2i−2i002-200-22002-20000-222i−2i0000002i−2i00−2i2i0000-222i−2i0000000000000000-222i−2i000000000000
χ7222-2-2−2i−2i2i2i2-2−2i2i00-22-22−2i2i00002i−2i2i−2i002-200-2200-220000-222i−2i0000002i−2i002i−2i00002-2−2i2i00000000000000002-2−2i2i000000000000
χ7344444444-4-4-4-44-4000000000000004-400002222000000-2-2-2-2-2-2-2-2002222000000000000000000000000000000000000000000
χ7444444444-4-4-4-44-4000000000000004-40000-2-2-2-20000002222222200-2-2-2-2000000000000000000000000000000000000000000
χ7544444444-4-4-4-4-4400000000000000-44000022-2-2000000-2-2-2-222220022-2-2000000000000000000000000000000000000000000
χ7644444444-4-4-4-4-4400000000000000-440000-2-2220000002222-2-2-2-200-2-222000000000000000000000000000000000000000000
χ774444-4-4-4-4-4-4444-400000000000000-4400002222000000-2-222-2-22200-2-2-2-2000000000000000000000000000000000000000000
χ784444-4-4-4-4-4-4444-400000000000000-440000-2-2-2-200000022-2-222-2-2002222000000000000000000000000000000000000000000
χ794444-4-4-4-4-4-444-44000000000000004-4000022-2-2000000-2-22222-2-200-2-222000000000000000000000000000000000000000000
χ804444-4-4-4-4-4-444-44000000000000004-40000-2-22200000022-2-2-2-2220022-2-2000000000000000000000000000000000000000000
χ8144-4-44i4i−4i−4i4-44i−4i004-4-44−4i4i00004i−4i−4i4i00-4400000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-44i4i−4i−4i4-44i−4i00-444-4−4i4i0000−4i4i4i−4i00-4400000000000000000000000000000000000000000000000000000000000000000000
χ8344-4-44i4i−4i−4i-44−4i4i000000004-44i−4i00000000002-22-2000000-22−2i2i-22−2i2i002i−2i2i−2i000000000000000000000000000000000000000000
χ8444-4-44i4i−4i−4i-44−4i4i000000004-44i−4i0000000000-22-220000002-22i−2i2-22i−2i00−2i2i−2i2i000000000000000000000000000000000000000000
χ8544-4-44i4i−4i−4i-44−4i4i00000000-44−4i4i00000000002-2-22000000-22−2i2i2-22i−2i002i−2i−2i2i000000000000000000000000000000000000000000
χ8644-4-44i4i−4i−4i-44−4i4i00000000-44−4i4i0000000000-222-20000002-22i−2i-22−2i2i00−2i2i2i−2i000000000000000000000000000000000000000000
χ8744-4-4−4i−4i4i4i4-4−4i4i004-4-444i−4i0000−4i4i4i−4i00-4400000000000000000000000000000000000000000000000000000000000000000000
χ8844-4-4−4i−4i4i4i4-4−4i4i00-444-44i−4i00004i−4i−4i4i00-4400000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4−4i−4i4i4i-444i−4i000000004-4−4i4i00000000002-22-2000000-222i−2i-222i−2i00−2i2i−2i2i000000000000000000000000000000000000000000
χ9044-4-4−4i−4i4i4i-444i−4i000000004-4−4i4i0000000000-22-220000002-2−2i2i2-2−2i2i002i−2i2i−2i000000000000000000000000000000000000000000
χ9144-4-4−4i−4i4i4i-444i−4i00000000-444i−4i00000000002-2-22000000-222i−2i2-2−2i2i00−2i2i2i−2i000000000000000000000000000000000000000000
χ9244-4-4−4i−4i4i4i-444i−4i00000000-444i−4i0000000000-222-20000002-2−2i2i-222i−2i002i−2i−2i2i000000000000000000000000000000000000000000
χ938-88-88i−8i8i−8i00000000000000000000000000000000004-40000000000000000004i−4i000000000000000000000000000000000000
χ948-88-88i−8i8i−8i0000000000000000000000000000000000-44000000000000000000−4i4i000000000000000000000000000000000000
χ958-88-8−8i8i−8i8i00000000000000000000000000000000004-4000000000000000000−4i4i000000000000000000000000000000000000
χ968-88-8−8i8i−8i8i0000000000000000000000000000000000-440000000000000000004i−4i000000000000000000000000000000000000
χ978-8-888-8-88000000000000000000000000000000004-40000000000000000004-400000000000000000000000000000000000000
χ988-8-888-8-8800000000000000000000000000000000-44000000000000000000-4400000000000000000000000000000000000000
χ998-8-88-888-8000000000000000000000000000000004-4000000000000000000-4400000000000000000000000000000000000000
χ1008-8-88-888-800000000000000000000000000000000-440000000000000000004-400000000000000000000000000000000000000

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