Finite Group Databasebeta

← Group #72240417

Character table — Group #72240417

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size11111111222222222222444444444444444444444444888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232
order12222222222222222222222222222222444444444444222222222244444444444444222222222222444444444444444444444444444444444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ91111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ101111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ121111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ131111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ141111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ151111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ161111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ17111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ18111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111
χ19111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ20111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ21111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ22111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ23111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ24111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ25111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ26111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ27111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ28111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ29111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ30111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ31111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ32111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-222222200000000-2-2-2-2-2-222-2-2-2-2-2-20000000022220000-2-2-2-222-2-222-2-200000000000000000000000000000000000000000000
χ3422222222222222222222222222222222-2-2-2-2-2-2-2-222222200000000-2-2-2-2-2-222-2-2-2-2-2-200000000-2-2-2-200002222-2-222-2-22200000000000000000000000000000000000000000000
χ352222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-222-2-22222220000000022220000-2-2-2-2-2-222-2-22200000000000000000000000000000000000000000000
χ362222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-222-2-222222200000000-2-2-2-20000222222-2-222-2-200000000000000000000000000000000000000000000
χ3722222222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-22222222222-2-2-2-22-2-2-222-2-22-2-2-2-2-222220000-2-2-2-200000000000000000000000000000000000000000000000000000000
χ3822222222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-222-2-22-22222-2-2-2-20000222200000000000000000000000000000000000000000000000000000000
χ3922222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222000000002222-22-2-2-2-222-22000000000000000000000000000022-2-222-2-22-22-200000000000000000000000000000000
χ4022222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222000000002222-22-2-2-2-222-220000000000000000000000000000-2-222-2-222-22-2200000000000000000000000000000000
χ4122222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-222222222-2-2-2-2-2222-2-222-22-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000000000000000000000
χ4222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-2-222-22222222220000-2-2-2-200000000000000000000000000000000000000000000000000000000
χ4322222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000022222-22222-2-22-2000000000000000000000000000022-2-222-2-2-22-2200000000000000000000000000000000
χ4422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000022222-22222-2-22-20000000000000000000000000000-2-222-2-2222-22-200000000000000000000000000000000
χ45222222222-2-2-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-222222222-2-200000000-2-222-2-2-2-22222-2-20000000022-2-20000-2-22222-2-2-2-22200000000000000000000000000000000000000000000
χ46222222222-2-2-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-222222222-2-200000000-2-222-2-2-2-22222-2-200000000-2-222000022-2-2-2-22222-2-200000000000000000000000000000000000000000000
χ47222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22200000000-2-2222222-2-2-2-2220000000022-2-20000-2-222-2-22222-2-200000000000000000000000000000000000000000000
χ48222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22200000000-2-2222222-2-2-2-22200000000-2-222000022-2-222-2-2-2-22200000000000000000000000000000000000000000000
χ49222222222-2-2-2-2-2-2-2-2222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222-222-2-2222-2-2-22222-2-20000-2-22200000000000000000000000000000000000000000000000000000000
χ50222222222-2-2-2-2-2-2-2-2222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222-222-2-2222-222-2-2-2-222000022-2-200000000000000000000000000000000000000000000000000000000
χ51222222222-2-2-2-2-2-2-2-2222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-20000000022-2-2-222222-2-2-22000000000000000000000000000022-2-2-2-2222-2-2200000000000000000000000000000000
χ52222222222-2-2-2-2-2-2-2-2222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-20000000022-2-2-222222-2-2-220000000000000000000000000000-2-22222-2-2-222-200000000000000000000000000000000
χ53222222222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-222-22-2-222-2-2-22-2-222-2-222000022-2-200000000000000000000000000000000000000000000000000000000
χ54222222222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-2-2-22222-2-222-22-2-222-2-2-2222-2-222-2-20000-2-22200000000000000000000000000000000000000000000000000000000
χ55222222222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-2-2-2-2-222222222220000000022-2-22-2-2-2-2-2222-2000000000000000000000000000022-2-2-2-222-222-200000000000000000000000000000000
χ56222222222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-2-2-2-2-222222222220000000022-2-22-2-2-2-2-2222-20000000000000000000000000000-2-22222-2-22-2-2200000000000000000000000000000000
χ572-2-2-2-2222-22222-2-2-2-222-222-2-222-2-222-2-222-2-222-2-222-2-22-2000000002-22-22-22-22-22-2-2200000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ582-2-2-2-2222-22222-2-2-2-222-222-2-222-2-222-2-222-2-222-2-222-2-22-2000000002-22-22-22-22-22-2-220000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ592-2-2-2-2222-22222-2-2-2-222-222-2-222-2-222-2-2-2-222-2-22222-2-22-200000000-22-22-222-2-22-222-20000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ602-2-2-2-2222-22222-2-2-2-222-222-2-222-2-222-2-2-2-222-2-22222-2-22-200000000-22-22-222-2-22-222-2000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ612-2-2-2-2222-22222-2-2-2-222-222-2-222-2-2-2-22222-2-222-2-2-2-222-22000000002-22-2-22-22-22-222-200000000000000000000000000000000000000002-22-2-22-22000000000000000000000000
χ622-2-2-2-2222-22222-2-2-2-222-222-2-222-2-2-2-22222-2-222-2-2-2-222-22000000002-22-2-22-22-22-222-20000000000000000000000000000000000000000-22-222-22-2000000000000000000000000
χ632-2-2-2-2222-22222-2-2-2-222-222-2-222-2-2-2-222-2-222-2-222-2-222-2200000000-22-222-2-222-22-2-220000000000000000000000000000000000000000000000002-22-2-22-220000000000000000
χ642-2-2-2-2222-22222-2-2-2-222-222-2-222-2-2-2-222-2-222-2-222-2-222-2200000000-22-222-2-222-22-2-22000000000000000000000000000000000000000000000000-22-222-22-20000000000000000
χ652-2-2-2-2222-22222-2-2-2-222-2-2-222-2-22222-2-222-2-222-2-2-2-2222-200000000-22-2222-222-2-22-2-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ662-2-2-2-2222-22222-2-2-2-222-2-2-222-2-22222-2-222-2-222-2-2-2-2222-200000000-22-2222-222-2-22-2-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ672-2-2-2-2222-22222-2-2-2-222-2-2-222-2-22222-2-2-2-222-2-222-2-2222-2000000002-22-2-2-2-22-222-22200000000000000000000000000000000000000000000000000000000000000002-22-22-22-2
χ682-2-2-2-2222-22222-2-2-2-222-2-2-222-2-22222-2-2-2-222-2-222-2-2222-2000000002-22-2-2-2-22-222-2220000000000000000000000000000000000000000000000000000000000000000-22-22-22-22
χ692-2-2-2-2222-22222-2-2-2-222-2-2-222-2-222-2-22222-2-222-2-222-2-2-2200000000-22-22-2-22-2-222-222000000000000000000000000000000000000000000000000000000002-22-2-22-2200000000
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Here i is the imaginary unit (i² = −1).