Finite Group Databasebeta

← Group #72255607

Character table — Group #72255607

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size111122222222222222222222222222222244444444444444448888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616
order1222222222222222224444444444444444444444444444444422222222222244444444444444444444888888888888888844444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ91111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ101111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ121111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ131111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ141111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ151111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ161111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ17111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ18111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ19111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ20111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ21111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ22111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ23111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ24111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ25111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−i
χ26111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii
χ27111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iii
χ28111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i
χ29111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i
χ30111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii
χ31111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iii
χ32111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i
χ33222222-2-2-2222-2-22-2-2-2222-2-2-222-2-2-22-22-222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000022-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ34222222-2-2-2222-2-22-2-2-2222-2-2-222-2-2-22-22-222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ35222222-2-2-2222-2-22-2-2-2222-2-2-222-2-2-22-22-22−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000022-2-222-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ36222222-2-2-2222-2-22-2-2-2222-2-2-222-2-2-22-22-22−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000-2-222-2-222000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ37222222-2-2-2-2-2-222-222-2222-2-2-2-2-22222-2-22-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000022-2-2-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ38222222-2-2-2-2-2-222-222-2222-2-2-2-2-22222-2-22-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000-2-22222-2-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ39222222-2-2-2-2-2-222-222-2222-2-2-2-2-22222-2-22-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000022-2-2-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ40222222-2-2-2-2-2-222-222-2222-2-2-2-2-22222-2-22-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000-2-22222-2-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ412222-2-222-222-22-2-22-2-22-2-222-22-22-2-22-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i22-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ422222-2-222-222-22-2-22-2-22-2-222-22-22-2-22-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ432222-2-222-222-22-2-22-2-22-2-222-22-22-2-22-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i22-2-222-2-200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ442222-2-222-222-22-2-22-2-22-2-222-22-22-2-22-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i-2-222-2-222000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ452222-2-222-2-2-22-222-22-22-2-222-2-22-2222-22-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i22-2-2-2-222000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ462222-2-222-2-2-22-222-22-22-2-222-2-22-2222-22-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-22222-2-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ472222-2-222-2-2-22-222-22-22-2-222-2-22-2222-22-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i22-2-2-2-22200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ482222-2-222-2-2-22-222-22-22-2-222-2-22-2222-22-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-22222-2-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ492222-2-2-2-2222-2-22-2-2222-2-2-2-222-2-22222-2-2222-2-2-2-22222-2-2-2-2220000000000000000000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000
χ502222-2-2-2-2222-2-22-2-2222-2-2-2-222-2-22222-2-2222-2-2-2-22222-2-2-2-22200000000000000000000000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ512222-2-2-2-2222-2-22-2-2222-2-2-2-222-2-22222-2-22-2-22222-2-2-2-22222-2-20000000000000000000000000000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ522222-2-2-2-2222-2-22-2-2222-2-2-2-222-2-22222-2-22-2-22222-2-2-2-22222-2-200000000000000000000000000000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ532222-2-2-2-22-2-222-222-222-2-2-2-22-222-2-22222-222-2-2-2-222-2-22222-2-20000000000000000000000000000000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ542222-2-2-2-22-2-222-222-222-2-2-2-22-222-2-22222-222-2-2-2-222-2-22222-2-200000000000000000000000000000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ552222-2-2-2-22-2-222-222-222-2-2-2-22-222-2-22222-2-2-22222-2-222-2-2-2-2220000000000000000000000000000000022-2-2-2-222-2-22222-2-200000000000000000000000000000000
χ562222-2-2-2-22-2-222-222-222-2-2-2-22-222-2-22222-2-2-22222-2-222-2-2-2-22200000000000000000000000000000000-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ572-2-222-22-222-2222-2-2-2-222-22-2-2-2-2-22-2-222222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002-22-20000
χ582-2-222-22-222-2222-2-2-2-222-22-2-2-2-2-22-2-222222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000-22-220000
χ592-2-222-22-222-2222-2-2-2-222-22-2-2-2-2-22-2-22222−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000000000-22-220000
χ602-2-222-22-222-2222-2-2-2-222-22-2-2-2-2-22-2-22222−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000000000002-22-20000
χ612-2-222-22-222-2222-2-2-2-2-2-22-222222-222-2-2-2-200000000000000002-22-22-22-22-22-22-22-200000000000000002-22-22-22-20000000000000000000000000000000000000000
χ622-2-222-22-222-2222-2-2-2-2-2-22-222222-222-2-2-2-200000000000000002-22-22-22-2-22-22-22-220000000000000000-22-22-22-220000000000000000000000000000000000000000
χ632-2-222-22-222-2222-2-2-2-2-2-22-222222-222-2-2-2-20000000000000000-22-22-22-222-22-22-22-20000000000000000-22-22-22-220000000000000000000000000000000000000000
χ642-2-222-22-222-2222-2-2-2-2-2-22-222222-222-2-2-2-20000000000000000-22-22-22-22-22-22-22-2200000000000000002-22-22-22-20000000000000000000000000000000000000000
χ652-2-222-22-22-22-2-2-2222-222-22-2-2222-22-22-2-2-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000002-2-22000000000000−2i2i2i−2i0000
χ662-2-222-22-22-22-2-2-2222-222-22-2-2222-22-22-2-2-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000-222-20000000000002i−2i−2i2i0000
χ672-2-222-22-22-22-2-2-2222-222-22-2-2222-22-22-2-2-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000002-2-220000000000002i−2i−2i2i0000
χ682-2-222-22-22-22-2-2-2222-222-22-2-2222-22-22-2-2-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000-222-2000000000000−2i2i2i−2i0000
χ692-2-222-22-22-22-2-2-2222-2-2-22-222-2-2-22-22-222200000000000000002-22-2-22-222-22-2-22-2200000000000000002-22-2-22-220000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).