Finite Group Databasebeta

← Group #72315618

Character table — Group #72315618

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169
size11112222222222444444444444448888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128
order1222222222222222222222222222222222222222222222222222222244444444222222222222222224444444444444444444444444444444424444444444444444444444444444444444444444444888888884488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111
χ91111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111
χ111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1
χ121111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ131111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-111
χ141111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1
χ151111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ161111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1
χ17111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-111-1-111-1-11-11-1
χ18111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-111-11-11
χ19111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-111-1-111-1-1111-11-1
χ20111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1-11111-1-111-1-1-11-11
χ21111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11111-111-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-1111-1-11
χ22111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11111-111-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1111111-1-1-1-111-1-11111-1-1-111-1
χ23111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-111-1-111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-111-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-111-1-1-1-11111-1-11-1-11
χ24111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-111-1-111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1111111-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1-111-111-1
χ25111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11111-1-111-1-111-1-111-11-11
χ26111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-11-11-1
χ27111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-111-1-111-1-1-11-11
χ28111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-111-1-11111-1-1-1-111-1-1111-11-1
χ29111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-111-1
χ30111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1111111-1-111-1-111-1-1-1-1111-1-11
χ31111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-111-1-1-1-11111-1-1-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1
χ32111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-11111-1-111-1-11111-1-11-1-11
χ3322222222222222222222222222222-2-22222-2-20000000022-2-22222-2-2222-2-2-2-2-2-2-200002-20000222222-2-22-200000000000022-2-222-2-2000000000000-2-2-2-200000000000022-2-200000000002-200000000000000000000
χ3422222222222222222222222222222-2-22222-2-20000000022-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-200002-20000-2-2-2-2-2-2-2-22-200000000000022-2-222-2-20000000000002222000000000000-2-2220000000000-2200000000000000000000
χ3522222222222222222222222222222-2-22222-2-200000000-2-2222222-2-22-2-222-2-2-2-2-20000-220000222222-2-2-22000000000000-2-222-2-222000000000000-2-2-2-2000000000000-2-2220000000000-2200000000000000000000
χ3622222222222222222222222222222-2-22222-2-200000000-2-222-2-2-2-2-2-22-2-222-2-2-2-2-20000-220000-2-2-2-2-2-2-2-2-22000000000000-2-222-2-222000000000000222200000000000022-2-200000000002-200000000000000000000
χ3722222222222222222222222-2-22-2-2-222-2-2-2-222222222220000000022-20000-2-2-2-222222000000000000-2-2000000-2-2-2-2-2-2-2-20000000000000000000000002i2i−2i−2i0000000000002i2i−2i−2i000000000000000000002i−2i2i−2i0000
χ3822222222222222222222222-2-22-2-2-222-2-2-2-222222222220000000022-20000-2-2-2-222222000000000000-2-2000000-2-2-2-2-2-2-2-2000000000000000000000000−2i−2i2i2i000000000000−2i−2i2i2i00000000000000000000−2i2i−2i2i0000
χ3922222222222222222222222-2-22-2-2-222-2-2-2-222-2-2-2-2-2-2-2-20000000022-20000-2-2-2-22-2-2-2-2000000000000-2-2000000222222220000000000000000000000002i2i−2i−2i0000000000002i2i−2i−2i00000000000000000000−2i2i−2i2i0000
χ4022222222222222222222222-2-22-2-2-222-2-2-2-222-2-2-2-2-2-2-2-20000000022-20000-2-2-2-22-2-2-2-2000000000000-2-200000022222222000000000000000000000000−2i−2i2i2i000000000000−2i−2i2i2i000000000000000000002i−2i2i−2i0000
χ4122222222222222-2-2-222-2-2-2-222-222-22222-2-2220000000022220000-2-2-22222-2-222-200002200000000002-222000000000000-2-2-2-2-2-2-2-200000000000000002-22-20000000000002-22-200002-200002-20000000000000000
χ4222222222222222-2-2-222-2-2-2-222-222-22222-2-2220000000022220000-2-2-22222-2-222-200002200000000002-222000000000000-2-2-2-2-2-2-2-20000000000000000-22-22000000000000-22-220000-220000-220000000000000000
χ4322222222222222-2-2-222-2-2-2-222-222-22222-2-22200000000-2-2-2-20000-2-2-2-2-2-2-2-2-222-20000-2-200000000002-2-2-20000000000002222222200000000000000002-22-20000000000002-22-20000-220000-220000000000000000
χ4422222222222222-2-2-222-2-2-2-222-222-22222-2-22200000000-2-2-2-20000-2-2-2-2-2-2-2-2-222-20000-2-200000000002-2-2-2000000000000222222220000000000000000-22-22000000000000-22-2200002-200002-20000000000000000
χ4522222222222222-2-2-222-2-2-2-222-222-2-2-222-2-2-2-20000000022-2-2000022-222-2-222-2-2200002-20000000000-222-2000000000000-2-222-2-222000000002222000000000000000000000000-2-22-200002-2000000000000000000
χ4622222222222222-2-2-222-2-2-2-222-222-2-2-222-2-2-2-20000000022-2-2000022-222-2-222-2-2200002-20000000000-222-2000000000000-2-222-2-22200000000-2-2-2-200000000000000000000000022-220000-22000000000000000000
χ4722222222222222-2-2-222-2-2-2-222-222-2-2-222-2-2-2-200000000-2-222000022-2-2-22222-2-220000-220000000000-22-2200000000000022-2-222-2-2000000002222000000000000000000000000-2-2-220000-22000000000000000000
χ4822222222222222-2-2-222-2-2-2-222-222-2-2-222-2-2-2-200000000-2-222000022-2-2-22222-2-220000-220000000000-22-2200000000000022-2-222-2-200000000-2-2-2-2000000000000000000000000222-200002-2000000000000000000
χ4922222222222222-2-2-222-2-2-2-2-2-2-2-2-2222-2-222220000000000000000-2-22000022-2-2-20000002222000000-220022220000000000000000-2-2-2-2-2-2-2-2000000002i−2i−2i2i0000000000002i−2i−2i2i00000000000000002i−2i2i−2i00000000
χ5022222222222222-2-2-222-2-2-2-2-2-2-2-2-2222-2-222220000000000000000-2-22000022-2-2-20000002222000000-220022220000000000000000-2-2-2-2-2-2-2-200000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000−2i2i−2i2i00000000
χ5122222222222222-2-2-222-2-2-2-2-2-2-2-2-2222-2-222220000000000000000-2-22000022-2-2-2000000-2-2-2-2000000-2200-2-2-2-2000000000000000022222222000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000000000−2i2i−2i2i00000000
χ5222222222222222-2-2-222-2-2-2-2-2-2-2-2-2222-2-222220000000000000000-2-22000022-2-2-2000000-2-2-2-2000000-2200-2-2-2-200000000000000002222222200000000−2i2i2i−2i000000000000−2i2i2i−2i00000000000000002i−2i2i−2i00000000
χ53222222-2-2-2-22222222-2-2-2-2-2-2222222-2-2-2-2-2-2220000000022-2-22222-2-2222-2-2-2-2-2-220000-22000022-2-2-2-222-2200000000000022-2-2-2-222000000000000-2-22200000000000022-2-20000000000-2200000000000000000000
χ54222222-2-2-2-22222222-2-2-2-2-2-2222222-2-2-2-2-2-2220000000022-2-2-2-2-2-2-2-2222-2-2-2-2-2-220000-220000-2-2222222-2200000000000022-2-2-2-22200000000000022-2-2000000000000-2-22200000000002-200000000000000000000
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χ1568-88-8008-8000000-4-44004-4-4400400000000000-444-4-444-40000-444-4000000000000000000000000-4400000000000000000000000000000000000000000000002-2-222-2-22000000000000000000000000000000000000
χ1578-88-800-88000000-4-4400-444-4004000000000004-4-44-444-400004-4-44000000000000000000000000-4400000000000000000000000000000000000000000000002-2-22-222-2000000000000000000000000000000000000
χ1588-88-800-88000000-4-4400-444-4004000000000004-4-44-444-40000-444-40000000000000000000000004-40000000000000000000000000000000000000000000000-222-22-2-22000000000000000000000000000000000000
χ1598-88-800-88000000-4-4400-444-400400000000000-444-44-4-4400004-4-44000000000000000000000000-440000000000000000000000000000000000000000000000-222-22-2-22000000000000000000000000000000000000
χ1608-88-800-88000000-4-4400-444-400400000000000-444-44-4-440000-444-40000000000000000000000004-400000000000000000000000000000000000000000000002-2-22-222-2000000000000000000000000000000000000
χ1618-8-888-80000-888-80000000000000000000008-800000000000044-4-40000000000000000000000-440000000000000000000000000000000000000000004-4000000000000000000000000000000000000000000000000
χ1628-8-888-80000-888-80000000000000000000008-8000000000000-4-44400000000000000000000004-4000000000000000000000000000000000000000000-44000000000000000000000000000000000000000000000000
χ1638-8-888-80000-888-8000000000000000000000-8800000000000044-4-40000000000000000000000-44000000000000000000000000000000000000000000-44000000000000000000000000000000000000000000000000
χ1648-8-888-80000-888-8000000000000000000000-88000000000000-4-44400000000000000000000004-40000000000000000000000000000000000000000004-4000000000000000000000000000000000000000000000000
χ1651616-16-16000016-1600008-8800-88-8800-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1661616-16-160000-161600008-88008-88-800-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16716-1616-160016-1600000088-800-888-800-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16816-1616-1600-161600000088-8008-8-8800-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16916-16-16161616000016-16-16-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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