Finite Group Databasebeta

← Group #72312565

Character table — Group #72312565

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11111111222222224444444444444444448888888888888888888888888888888816161616161616161616161616161616161616161616161616163232323232323232
order1222444422444444222222444444444444222222444444444444444444444444442222444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-11-11-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-11-11-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ121111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-111-111-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ131111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-11-11-11-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111
χ141111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-11-11-11-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ161111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-11111-1-11111-1-1-1-111-1-1-1-111
χ171111-1-1-1-11111-1-1-1-11-1-1111111-1-1-11-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1111-11-11-11-11-111-1-111-1-11-11-11-11-1
χ181111-1-1-1-11111-1-1-1-11-1-1111111-1-1-11-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-11-1-11-11-11-1111-1-111-1-1-11-11-11-11
χ191111-1-1-1-11111-1-1-1-11-1-1111111-1-1-11-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-111-11-1-11-11-1-111-1-1111-11-1-11-11
χ201111-1-1-1-11111-1-1-1-11-1-1111111-1-1-11-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-11-11-111-11-1-1-111-1-111-11-111-11-1
χ211111-1-1-1-11111-1-1-1-11-1-1111111-1-1-11-1-1-1-11-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1111-11-11-11-11-1-1-111-1-111-11-11-11-11
χ221111-1-1-1-11111-1-1-1-11-1-1111111-1-1-11-1-1-1-11-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11-1-11-11-11-11-1-111-1-1111-11-11-11-1
χ231111-1-1-1-11111-1-1-1-11-1-1111111-1-1-11-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-1-111-11-1-11-1111-1-111-1-1-11-111-11-1
χ241111-1-1-1-11111-1-1-1-11-1-1111111-1-1-11-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-11111-11-11-111-11-111-1-111-1-11-11-1-11-11
χ251111-1-1-1-111-1-111-1-11-1-1111-1-1-11111-1-1-1-1111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11-1-11-111-1-111-1-111-1-1111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-111-1-111-1-11-1-1111-1-1-11111-1-1-1-1111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-111-11-1-11-11-111-1-111-111-1-1-1-111-111-1-111-1
χ271111-1-1-1-111-1-111-1-11-1-1111-1-1-11111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1111-11-1-11-111-11-1-11-111-1-1-11111-1-11-1-11-111-1
χ281111-1-1-1-111-1-111-1-11-1-1111-1-1-11111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-11-111-11-11-1-111-11-1-11-1-11111-1-1-111-11-1-11
χ291111-1-1-1-111-1-111-1-11-1-1111-1-1-11111-1-1-1-11-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11-1-11-111-1-111-1-111-1-11-1-11111-1-1-111-1-111-1
χ301111-1-1-1-111-1-111-1-11-1-1111-1-1-11111-1-1-1-11-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-111-11-1-11-11-111-1-111-1-1-11111-1-11-1-111-1-11
χ311111-1-1-1-111-1-111-1-11-1-1111-1-1-11111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1111-11-1-11-111-11-1-11-111-111-1-1-1-111-111-11-1-11
χ321111-1-1-1-111-1-111-1-11-1-1111-1-1-11111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-11-111-11-11-1-111-11-1-1111-1-1-1-1111-1-11-111-1
χ3322222222222222222-2-2-2-222-2-22-2-2-222-2-2-20000002-22-200000000000000000000002200220000-2-2-2-200000000000000000000
χ3422222222222222222-2-2-2-222-2-22-2-2-222-2-2-20000002-22-20000000000000000000000-2-200-2-20000222200000000000000000000
χ352222222222222222-222-2-2-22-2-22-2-22-2-2-2-22000000-22-22000000000000000000000000220022000000-2-2-2-20000000000000000
χ362222222222222222-222-2-2-22-2-22-2-22-2-2-2-22000000-22-22000000000000000000000000-2-200-2-200000022220000000000000000
χ372222222222222222-2-2-222-2222222-2-2-222-2000022-2-2-2-2000000002222000022-2-2-2-200000000-2-2000000000000000000000000
χ382222222222222222-2-2-222-2222222-2-2-222-20000-2-2-2-2-2-200000000-2-2-2-20000-2-222220000000022000000000000000000000000
χ392222222222-2-2-2-2222-2-2-2-22-222-222-222-2-2-2000000-22-2200000000000000000000002-2002-20000-2-22200000000000000000000
χ402222222222-2-2-2-2222-2-2-2-22-222-222-222-2-2-2000000-22-220000000000000000000000-2200-22000022-2-200000000000000000000
χ412222222222-2-2-2-222-222-2-2-2-222-2222-2-2-2-220000002-22-20000000000000000000000002-2002-2000000-2-2220000000000000000
χ422222222222-2-2-2-222-222-2-2-2-222-2222-2-2-2-220000002-22-2000000000000000000000000-2200-2200000022-2-20000000000000000
χ432222222222-2-2-2-222-2-2-222-2-2-2-2-2-2-2-2-2-222-2000022222200000000-2-2-2-2000022-2-2-2-20000000022000000000000000000000000
χ442222222222-2-2-2-222-2-2-222-2-2-2-2-2-2-2-2-2-222-20000-2-222220000000022220000-2-2222200000000-2-2000000000000000000000000
χ452222-2-2-2-22222-2-2-2-2222-2-222-2-2-222-2-2-222-20000002-2-2200000000000000000000002200-2-20000-22-2200000000000000000000
χ462222-2-2-2-22222-2-2-2-2222-2-222-2-2-222-2-2-222-20000002-2-220000000000000000000000-2-2002200002-22-200000000000000000000
χ472222-2-2-2-22222-2-2-2-2-22222-2222-2-2-2-222-2-2-2000022-2-2220000000022-2-20000-2-2-2-22200000000-22000000000000000000000000
χ482222-2-2-2-22222-2-2-2-2-22222-2222-2-2-2-222-2-2-20000-2-2-2-22200000000-2-22200002222-2-2000000002-2000000000000000000000000
χ492222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22-2-2-222222222000000-222-20000000000000000000000002200-2-20000002-22-20000000000000000
χ502222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22-2-2-222222222000000-222-2000000000000000000000000-2-20022000000-22-220000000000000000
χ512222-2-2-2-222-2-222-2-2222-2-22-2222-2-2-2-2-222-2000000-222-200000000000000000000002-200-220000-222-200000000000000000000
χ522222-2-2-2-222-2-222-2-2222-2-22-2222-2-2-2-2-222-2000000-222-20000000000000000000000-22002-200002-2-2200000000000000000000
χ532222-2-2-2-222-2-222-2-2-22222-2-2-2-2222-222-2-2-200002222-2-200000000-2-2220000-2-2-2-222000000002-2000000000000000000000000
χ542222-2-2-2-222-2-222-2-2-22222-2-2-2-2222-222-2-2-20000-2-222-2-20000000022-2-200002222-2-200000000-22000000000000000000000000
χ552222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2222-2-22222220000002-2-220000000000000000000000002-200-220000002-2-220000000000000000
χ562222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2222-2-22222220000002-2-22000000000000000000000000-22002-2000000-222-20000000000000000
χ572-2-2222-2-2-2200002-222-22-2-200000022-22-2-200002-200002i2i−2i−2i2i2i−2i−2i000000002-22-22-200000000000000000000002i−2i2i−2i00000000
χ582-2-2222-2-2-2200002-222-22-2-200000022-22-2-200002-20000−2i−2i2i2i−2i−2i2i2i000000002-22-22-20000000000000000000000−2i2i−2i2i00000000
χ592-2-2222-2-2-2200002-222-22-2-200000022-22-2-20000-2200002i2i−2i−2i2i2i−2i−2i00000000-22-22-220000000000000000000000−2i2i−2i2i00000000
χ602-2-2222-2-2-2200002-222-22-2-200000022-22-2-20000-220000−2i−2i2i2i−2i−2i2i2i00000000-22-22-2200000000000000000000002i−2i2i−2i00000000
χ612-2-2222-2-2-2200002-2-2-222-22000000-2-222-222-22-22-200000000000000002-22-22-2-22-220000000000000000002-22-2000000000000
χ622-2-2222-2-2-2200002-2-2-222-22000000-2-222-222-22-2-2200000000000000002-22-2-222-22-2000000000000000000-22-22000000000000
χ632-2-2222-2-2-2200002-2-2-222-22000000-2-222-22-22-222-20000000000000000-22-222-2-22-22000000000000000000-22-22000000000000
χ642-2-2222-2-2-2200002-2-2-222-22000000-2-222-22-22-22-220000000000000000-22-22-222-22-20000000000000000002-22-2000000000000
χ652-2-22-2-222-220000-222-222-2-20000002-22-22-200002-200002i2i−2i−2i−2i−2i2i2i00000000-222-2-2200000000000000000000002i−2i−2i2i00000000
χ662-2-22-2-222-220000-222-222-2-20000002-22-22-200002-20000−2i−2i2i2i2i2i−2i−2i00000000-222-2-220000000000000000000000−2i2i2i−2i00000000
χ672-2-22-2-222-220000-222-222-2-20000002-22-22-20000-2200002i2i−2i−2i−2i−2i2i2i000000002-2-222-20000000000000000000000−2i2i2i−2i00000000
χ682-2-22-2-222-220000-222-222-2-20000002-22-22-20000-220000−2i−2i2i2i2i2i−2i−2i000000002-2-222-200000000000000000000002i−2i−2i2i00000000
χ692-2-22-2-222-220000-22-22-22-22000000-22-2-2222-2-222-200000000000000002-2-22-22-222-20000000000000000002-2-22000000000000
χ702-2-22-2-222-220000-22-22-22-22000000-22-2-2222-2-22-2200000000000000002-2-222-22-2-22000000000000000000-222-2000000000000
χ712-2-22-2-222-220000-22-22-22-22000000-22-2-222-222-22-20000000000000000-222-2-22-222-2000000000000000000-222-2000000000000
χ722-2-22-2-222-220000-22-22-22-22000000-22-2-222-222-2-220000000000000000-222-22-22-2-220000000000000000002-2-22000000000000
χ7344444444-4-44444-4-4000000-400-40000000022-2-20000002-22-22-22-20000-2-2220000000000000000000000000000000000000000
χ7444444444-4-44444-4-4000000-400-400000000-2-222000000-22-22-22-22000022-2-20000000000000000000000000000000000000000
χ7544444444-4-4-4-4-4-4-4-400000040040000000022-2-2000000-22-22-22-220000-2-2220000000000000000000000000000000000000000
χ7644444444-4-4-4-4-4-4-4-4000000400400000000-2-2220000002-22-22-22-2000022-2-20000000000000000000000000000000000000000
χ774444-4-4-4-4-4-444-4-444000000-40040000000022220000002-22-2-22-220000-2-2-2-20000000000000000000000000000000000000000
χ784444-4-4-4-4-4-444-4-444000000-400400000000-2-2-2-2000000-22-222-22-2000022220000000000000000000000000000000000000000
χ794444-4-4-4-4-4-4-4-44444000000400-4000000002222000000-22-222-22-20000-2-2-2-20000000000000000000000000000000000000000
χ804444-4-4-4-4-4-4-4-44444000000400-400000000-2-2-2-20000002-22-2-22-22000022220000000000000000000000000000000000000000
χ814-4-4444-4-44-40000-4400000004i−4i04i−4i0000002-2-220000002i−2i−2i2i2i−2i−2i2i0000-222-20000000000000000000000000000000000000000
χ824-4-4444-4-44-40000-4400000004i−4i04i−4i000000-222-2000000−2i2i2i−2i−2i2i2i−2i00002-2-220000000000000000000000000000000000000000
χ834-4-4444-4-44-40000-440000000−4i4i0−4i4i0000002-2-22000000−2i2i2i−2i−2i2i2i−2i0000-222-20000000000000000000000000000000000000000
χ844-4-4444-4-44-40000-440000000−4i4i0−4i4i000000-222-20000002i−2i−2i2i2i−2i−2i2i00002-2-220000000000000000000000000000000000000000
χ854-4-4444-4-4-4400004-44-44-44-4000000-44-4-444000000000000000000000000000000000000000000000000000000000000000000
χ864-4-4444-4-4-4400004-4-44-4-4440000004-44-44-4000000000000000000000000000000000000000000000000000000000000000000
χ874-4-44-4-4444-400004-400000004i−4i0−4i4i0000002-22-20000002i−2i−2i2i−2i2i2i−2i0000-22-220000000000000000000000000000000000000000
χ884-4-44-4-4444-400004-400000004i−4i0−4i4i000000-22-22000000−2i2i2i−2i2i−2i−2i2i00002-22-20000000000000000000000000000000000000000
χ894-4-44-4-4444-400004-40000000−4i4i04i−4i0000002-22-2000000−2i2i2i−2i2i−2i−2i2i0000-22-220000000000000000000000000000000000000000
χ904-4-44-4-4444-400004-40000000−4i4i04i−4i000000-22-220000002i−2i−2i2i−2i2i2i−2i00002-22-20000000000000000000000000000000000000000
χ914-4-44-4-444-440000-4444-4-44-4000000-4-444-44000000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-4-444-440000-44-4-44-44400000044-44-4-4000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-88i−8i8i−8i000000000000000000000000000000000000000000004i−4i4-400000000000000000000000000000000000000000000
χ9488-8-88i−8i8i−8i00000000000000000000000000000000000000000000−4i4i-4400000000000000000000000000000000000000000000
χ9588-8-8−8i8i−8i8i000000000000000000000000000000000000000000004i−4i-4400000000000000000000000000000000000000000000
χ9688-8-8−8i8i−8i8i00000000000000000000000000000000000000000000−4i4i4-400000000000000000000000000000000000000000000
χ978-88-88i−8i−8i8i008-88i−8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-88i−8i−8i8i00-88−8i8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8−8i8i8i−8i008-8−8i8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8−8i8i8i−8i00-888i−8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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