Finite Group Databasebeta

← Group #72262500

Character table — Group #72262500

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222224444444444444444888888888888888888888888888888888888888888888888888888888888161616161616161632323232323232323232
order1222222222222222222222222222224444222222222222222244444444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1111111-1-1111-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1111-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ7111111111111111111111111-1-1111111-1-1111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1111111-1-1111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91111111111111111111111-1-1111111-1-111-1-1-1111-1-111-1-111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-111-1-111-1-1
χ101111111111111111111111-1-1111111-1-111-1-1-1111-1-111-1-111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ111111111111111111111111-1-1111111-1-111-1-1-1111-1-1-1-111-1-111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-111
χ121111111111111111111111-1-1111111-1-111-1-1-1111-1-1-1-111-1-111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ131111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ141111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ151111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ161111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111
χ17111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-1111-11-11-11-111-111-1-1-1-1-111-1-111-1-111-1-111-1-1111-11-11-11-11111-1-1-1-111-1-111-1-11-11-11-11-11-1
χ18111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-1111-11-11-11-111-111-1-1-1-1-111-1-111-1-111-1-111-1-1111-11-11-11-1-1-1-1-11111-1-111-1-111-11-11-11-11-11
χ19111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-111-11-11-11-1111-111-1-1-1-1-1-1-111-1-111-1-111-1-11111-11-11-11-111111-1-1-1-111-1-111-1-11-1-11-11-11-11
χ20111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-111-11-11-11-1111-111-1-1-1-1-1-1-111-1-111-1-111-1-11111-11-11-11-11-1-1-1-11111-1-111-1-111-111-11-11-11-1
χ21111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111-1-1-111-1-11-11-1-11-1111-1-1-11111111-1-111-1-1-1-111-1-111-1-11-11-1-11-111111-1-1-1-111-1-1-1-111-111-11-1-11-11
χ22111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111-1-1-111-1-11-11-1-11-1111-1-1-11111111-1-111-1-1-1-111-1-111-1-11-11-1-11-11-1-1-1-11111-1-11111-1-11-1-11-111-11-1
χ23111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111-1-1-111-1-1-11-111-11-111-1-1-111111-1-111-1-11111-1-111-1-1-1-1-11-111-11-11111-1-1-1-111-1-1-1-111-11-11-111-11-1
χ24111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111-1-1-111-1-1-11-111-11-111-1-1-111111-1-111-1-11111-1-111-1-1-1-1-11-111-11-1-1-1-1-11111-1-11111-1-11-11-11-1-11-11
χ25111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1111-1-1-1-11-1-111-1-11-1-1111-1111111-1-1-1-11111-1-1-1-111-1-11-1-111-1-111111-1-1-1-1-1-11111-1-1-111-1-111-1-11
χ26111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1111-1-1-1-11-1-111-1-11-1-1111-1111111-1-1-1-11111-1-1-1-111-1-11-1-111-1-11-1-1-1-1111111-1-1-1-1111-1-111-1-111-1
χ27111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1111-1-1-1-1-111-1-111-1-1-1111-11111-1-11111-1-1-1-11111-1-1-1-1-111-1-111-11111-1-1-1-1-1-11111-1-1-11-111-1-111-1
χ28111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1111-1-1-1-1-111-1-111-1-1-1111-11111-1-11111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-1111-11-1-111-1-11
χ29111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-111111-1-11-111-1-1-11-1-11-1-1-1-111-1-1-1-111-1-11111-1-1111-1-11-111-11111-1-1-1-1-1-111-1-1111-11-1-11-111-1
χ30111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-111111-1-11-111-1-1-11-1-11-1-1-1-111-1-1-1-111-1-11111-1-1111-1-11-111-1-1-1-1-1111111-1-111-1-1-11-111-11-1-11
χ31111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-11111-111-11-1-11-1-11-1-11-1-1-1-1-1-11111-1-111-1-1-1-11111-111-11-1-111111-1-1-1-1-1-111-1-1111-1-111-11-1-11
χ32111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-11111-111-11-1-11-1-11-1-11-1-1-1-1-1-11111-1-111-1-1-1-11111-111-11-1-11-1-1-1-1111111-1-111-1-1-111-1-11-111-1
χ332222222222-2-2-2-2222222-2-22222-2-2-2-222-2-22-2-22222200000000-2-22-2-2-222-2-20000000000000000-2-20000000000000000000000000000000000
χ342222222222-2-2-2-2222222-2-222-2-2-2-2-2-222222-2-2-2-2-2-2-200000000-2-22222-2-2220000000000000000220000000000000000000000000000000000
χ352222222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-2-222222-2-20000000022-2-2-2-2-2-2220000000000000000220000000000000000000000000000000000
χ362222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222-222-2-2-2220000000022-222222-2-20000000000000000-2-20000000000000000000000000000000000
χ37222222-2-2-2-222222222-2-2222222-2-2-2-2-2-2222222-2-22200000000-2-2-2-2-22-2-2220000000000000000-2-20000000000000000000000000000000000
χ38222222-2-2-2-222222222-2-22222-2-2-2-2-2-2-2-2-2-2222-222-2-200000000-2-2-222-222-2-20000000000000000220000000000000000000000000000000000
χ39222222-2-2-2-222222222-2-222-2-222-2-2-2-22222-2-2-22-2-2-2-200000000222-2-2222-2-20000000000000000220000000000000000000000000000000000
χ40222222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-2-2-222220000000022222-2-2-2220000000000000000-2-20000000000000000000000000000000000
χ4122222-2222222-2-2-2-22-2-2-22-2220022-2-22200-22-200000000022222-2-20000000000000002-22-22-22-2000000-2-2-2-200000000000000000000000000
χ4222222-2222222-2-2-2-22-2-2-22-2220022-2-22200-22-2000000000-2-2-2-22-2-2000000000000000-22-22-22-22000000222200000000000000000000000000
χ4322222-2222222-2-2-2-22-2-2-22-2-2-20022-2-2-2-2002-2200000000022-2-2-2220000000000000002-22-2-22-22000000-2-22200000000000000000000000000
χ4422222-2222222-2-2-2-22-2-2-22-2-2-20022-2-2-2-2002-22000000000-2-222-222000000000000000-22-222-22-200000022-2-200000000000000000000000000
χ4522222-22222-2-222-2-22-2-2-2-222200-2-2222200-2-220000022220000-22-200000002-22-22-22-20000000000-2-2-2-2000000000000000000000000000000
χ4622222-22222-2-222-2-22-2-2-2-222200-2-2222200-2-2200000-2-2-2-20000-22-20000000-22-22-22-2200000000002222000000000000000000000000000000
χ4722222-22222-2-222-2-22-2-2-2-22-2-200-2-222-2-20022-20000022-2-200002-2200000002-22-2-22-220000000000-2-222000000000000000000000000000000
χ4822222-22222-2-222-2-22-2-2-2-22-2-200-2-222-2-20022-200000-2-22200002-220000000-22-222-22-2000000000022-2-2000000000000000000000000000000
χ4922222-2-2-2-2-222-2-2-2-22-2222-22200-2-222-2-200-22-2000002-22-20000-22200000002-2-222-2-220000000000-22-22000000000000000000000000000000
χ5022222-2-2-2-2-222-2-2-2-22-2222-22200-2-222-2-200-22-200000-22-220000-2220000000-222-2-222-200000000002-22-2000000000000000000000000000000
χ5122222-2-2-2-2-222-2-2-2-22-2222-2-2-200-2-22222002-22000002-2-2200002-2-200000002-2-22-222-20000000000-222-2000000000000000000000000000000
χ5222222-2-2-2-2-222-2-2-2-22-2222-2-2-200-2-22222002-2200000-222-200002-2-20000000-222-22-2-2200000000002-2-22000000000000000000000000000000
χ5322222-2-2-2-2-2-2-222-2-22-222-22220022-2-2-2-200-2-220000000002-22-22-220000000000000002-2-222-2-22000000-22-2200000000000000000000000000
χ5422222-2-2-2-2-2-2-222-2-22-222-22220022-2-2-2-200-2-22000000000-22-222-22000000000000000-222-2-222-20000002-22-200000000000000000000000000
χ5522222-2-2-2-2-2-2-222-2-22-222-22-2-20022-2-2220022-20000000002-2-22-22-20000000000000002-2-22-222-2000000-222-200000000000000000000000000
χ5622222-2-2-2-2-2-2-222-2-22-222-22-2-20022-2-2220022-2000000000-222-2-22-2000000000000000-222-22-2-220000002-2-2200000000000000000000000000
χ572222-2222-2-22222-2-2-222-2-2-200222-22-20022000-22-200002200220002-2-200000000-22-220000-22-220000-2-200-2-200000000000000000000000000
χ582222-2222-2-22222-2-2-222-2-2-200222-22-20022000-22-20000-2-200-2-20002-2-2000000002-22-200002-22-2000022002200000000000000000000000000
χ592222-2222-2-22222-2-2-222-2-2-200-2-22-22-200-2-20002-2200002200-2-2000-22200000000-22-2200002-22-20000-2-2002200000000000000000000000000
χ602222-2222-2-22222-2-2-222-2-2-200-2-22-22-200-2-20002-220000-2-20022000-222000000002-22-20000-22-2200002200-2-200000000000000000000000000
χ612222-2222-2-2-2-2-2-2-2-2-222-2220022-22-2200-2-2000-22-2002-2002-200000-2220000-222-20000-222-2000000-2200-220000000000000000000000000000
χ622222-2222-2-2-2-2-2-2-2-2-222-2220022-22-2200-2-2000-22-200-2200-2200000-22200002-2-2200002-2-220000002-2002-20000000000000000000000000000
χ632222-2222-2-2-2-2-2-2-2-2-222-22200-2-2-22-2200220002-22002-200-22000002-2-20000-222-200002-2-22000000-22002-20000000000000000000000000000
χ642222-2222-2-2-2-2-2-2-2-2-222-22200-2-2-22-2200220002-2200-22002-2000002-2-200002-2-220000-222-20000002-200-220000000000000000000000000000
χ652222-22-2-2222222-2-2-22-22-2-20022-22-220022000-2-220022002200000-22-20000-22-220000-22-22000000-2-200-2-20000000000000000000000000000
χ662222-22-2-2222222-2-2-22-22-2-20022-22-220022000-2-2200-2-200-2-200000-22-200002-22-200002-22-20000002200220000000000000000000000000000
χ672222-22-2-2222222-2-2-22-22-2-200-2-2-22-2200-2-200022-2002200-2-2000002-220000-22-2200002-22-2000000-2-200220000000000000000000000000000
χ682222-22-2-2222222-2-2-22-22-2-200-2-2-22-2200-2-200022-200-2-20022000002-2200002-22-20000-22-220000002200-2-20000000000000000000000000000
χ692222-22-2-222-2-2-2-2-2-2-22-222200222-22-200-2-2000-2-2200002-2002-20002-2200000000-222-20000-222-20000-2200-2200000000000000000000000000
χ702222-22-2-222-2-2-2-2-2-2-22-222200222-22-200-2-2000-2-220000-2200-220002-22000000002-2-2200002-2-2200002-2002-200000000000000000000000000
χ712222-22-2-222-2-2-2-2-2-2-22-222200-2-22-22-2002200022-200002-200-22000-22-200000000-222-200002-2-220000-22002-200000000000000000000000000
χ722222-22-2-222-2-2-2-2-2-2-22-222200-2-22-22-2002200022-20000-22002-2000-22-2000000002-2-220000-222-200002-200-2200000000000000000000000000
χ732222-2-222-2-222-2-222-2-2-22-2200002-2-2200000000002-22-20000220000002-22-2-2-22200000000-2-2-2-22-22-200002200000000000000000000000000
χ742222-2-222-2-222-2-222-2-2-22-2200002-2-2200000000002-2-220000-2-20000002-22-222-2-20000000022222-2-220000-2-200000000000000000000000000
χ752222-2-222-2-222-2-222-2-2-22-2200002-2-220000000000-222-20000-2-2000000-22-22-2-222000000002222-222-20000-2-200000000000000000000000000
χ762222-2-222-2-222-2-222-2-2-22-2200002-2-220000000000-22-22000022000000-22-2222-2-200000000-2-2-2-2-22-2200002200000000000000000000000000
χ772222-2-222-2-2-2-22222-2-2-222-20000-222-200000000002-200222-2000000002-2-220000-2-2-2-2-2-2220000-2200222-20000000000000000000000000000
χ782222-2-222-2-2-2-22222-2-2-222-20000-222-200000000002-200-2-2-22000000002-2-220000222222-2-20000-2200-2-2-220000000000000000000000000000
χ792222-2-222-2-2-2-22222-2-2-222-20000-222-20000000000-220022-2200000000-222-20000-2-2-2-222-2-200002-20022-220000000000000000000000000000
χ802222-2-222-2-2-2-22222-2-2-222-20000-222-20000000000-2200-2-22-200000000-222-200002222-2-22200002-200-2-22-20000000000000000000000000000
χ812222-2-2-2-22222-2-222-2-22-2-220000-222-200000000002-2002-22200000000-222-20000-2-222-2-2-2-20000-22002-2220000000000000000000000000000
χ822222-2-2-2-22222-2-222-2-22-2-220000-222-200000000002-200-22-2-200000000-222-2000022-2-222220000-2200-22-2-20000000000000000000000000000
χ832222-2-2-2-22222-2-222-2-22-2-220000-222-20000000000-22002-2-2-2000000002-2-220000-2-222222200002-2002-2-2-20000000000000000000000000000
χ842222-2-2-2-22222-2-222-2-22-2-220000-222-20000000000-2200-2222000000002-2-22000022-2-2-2-2-2-200002-200-22220000000000000000000000000000
χ852222-2-2-2-222-2-22222-2-22-22-200002-2-2200000000002-22200002-2000000-22-22-2-2-2-200000000-2-2222-22200002-200000000000000000000000000
χ862222-2-2-2-222-2-22222-2-22-22-200002-2-2200000000002-2-2-20000-22000000-22-2222220000000022-2-22-2-2-20000-2200000000000000000000000000
χ872222-2-2-2-222-2-22222-2-22-22-200002-2-220000000000-22220000-220000002-22-2-2-2-2-20000000022-2-2-22220000-2200000000000000000000000000
χ882222-2-2-2-222-2-22222-2-22-22-200002-2-220000000000-22-2-200002-20000002-22-2222200000000-2-222-22-2-200002-200000000000000000000000000
χ8944-4-40400004-44-4000-40000004-40000004-400000000000000000000000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i00002i−2i2i−2i0000000000
χ9044-4-40400004-44-4000-40000004-40000004-40000000000000000000000000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000−2i2i−2i2i0000000000
χ9144-4-40400004-44-4000-4000000-44000000-4400000000000000000000000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i0000−2i2i−2i2i0000000000
χ9244-4-40400004-44-4000-4000000-44000000-440000000000000000000000000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i00002i−2i2i−2i0000000000
χ9344-4-4040000-44-44000-40000004-4000000-4400000000000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i0000000000
χ9444-4-4040000-44-44000-40000004-4000000-440000000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000−2i2i2i−2i0000000000
χ9544-4-4040000-44-44000-4000000-440000004-400000000000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i0000000000
χ9644-4-4040000-44-44000-4000000-440000004-40000000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i0000000000
χ974-44-4404-44-4000000-4000004-40000004-40000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000
χ984-44-4404-44-4000000-4000004-40000004-4000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000
χ994-44-4404-44-4000000-400000-44000000-440000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i00000000000000
χ1004-44-4404-44-4000000-400000-44000000-44000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000
χ1014-44-440-44-44000000-4000004-4000000-440000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i−2i2i00000000000000
χ1024-44-440-44-44000000-4000004-4000000-44000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i2i−2i00000000000000
χ1034-44-440-44-44000000-400000-440000004-40000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i2i−2i00000000000000
χ1044-44-440-44-44000000-400000-440000004-4000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i00000000000000
χ10588-8-80-800008-8-8800080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-80-80000-888-800080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-808-8-88000000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-80-888-8000000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-8800000000008-8000000000000000000000000000000000000000000000000000000000000000000000000004-4-44000000000000000000
χ1108-8-8800000000008-800000000000000000000000000000000000000000000000000000000000000000000000000-444-4000000000000000000
χ1118-8-880000000000-8800000000000000000000000000000000000000000000000000000000000000000000004-4-440000000000000000000000
χ1128-8-880000000000-880000000000000000000000000000000000000000000000000000000000000000000000-444-40000000000000000000000

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