Finite Group Databasebeta

← Group #72226961

Character table — Group #72226961

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208
size1111222222222222224444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128
order124422244488888888444488888888888888888888888816161616161616161616161616161616444488161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616222244448888888888881616161616161616161616161616161616161616444488881616161616161616161616161616161622448888323232323232323232323232323232322488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ7111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ91111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ121111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ131111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ141111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ151111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1711-1-11-1-111-11111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−i1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1ii−i−iii−i−iii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−i1-11-111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ1811-1-11-1-111-11111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−i1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11ii−i−i−i−iiiii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−ii−i−ii1-1-1111-1-1ii−i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i-1-111−i−iii-11−ii
χ1911-1-11-1-111-11111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−i1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1−i−iiiii−i−iii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i−iii−i-111-1-1-111−i−iii11-1-1ii−i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i-11−ii
χ2011-1-11-1-111-11111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−i1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11−i−iii−i−iiiii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii-11-11-1-111−i−iii-1-111−i−iii11-1-1ii−i−i-1-111−i−iii-1-111−i−iii1-1i−i
χ2111-1-11-1-111-11111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-11-11-1ii−i−iii−i−iii−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiiii−ii−i1-11-111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii-1-111−i−iii-11−ii
χ2211-1-11-1-111-11111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-11ii−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−ii1-1-1111-1-1ii−i−i-1-111−i−iii-1-111−i−iii-1-111−i−iii11-1-1ii−i−i1-1i−i
χ2311-1-11-1-111-11111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111-1−i−iiiii−i−iii−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i-111-1-1-111−i−iii11-1-1ii−i−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii1-1i−i
χ2411-1-11-1-111-11111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-11-11−i−iii−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiii−ii−ii-11-11-1-111−i−iii-1-111−i−iii11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i-11−ii
χ2511-1-11-1-111-11111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1−i−iii−i−iii−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii1-11-111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii
χ2611-1-11-1-111-11111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11−i−iiiii−i−i−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii−iii−i1-1-1111-1-1−i−iii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i-11i−i
χ2711-1-11-1-111-11111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1ii−i−i−i−iii−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiiii−i−ii-111-1-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii-11i−i
χ2811-1-11-1-111-11111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11ii−i−iii−i−i−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiiii−ii−i-11-11-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i1-1−ii
χ2911-1-11-1-111-11111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-11-11-1−i−iii−i−iii−i−iii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−ii−ii1-11-111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-11i−i
χ3011-1-11-1-111-11111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-11−i−iiiii−i−i−i−iii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i1-1-1111-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii1-1−ii
χ3111-1-11-1-111-11111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111-1ii−i−i−i−iii−i−iii−i−iiiiiiiiiii−i−i−i−i−i−i−i−ii−i−ii-111-1-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i1-1−ii
χ3211-1-11-1-111-11111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-11-11ii−i−iii−i−i−i−iii−i−iiiiiiiiiii−i−i−i−i−i−i−i−ii−ii−i-11-11-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii-11i−i
χ332222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002222-2-2-2-200000000000000000000000000000000000000002-22-22-22-200000000000000000000
χ342222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002222-2-2-2-20000000000000000000000000000000000000000-22-22-22-2200000000000000000000
χ35222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-222222222-2-222-2-222-2-222-2-2000000000000000000000000000000000022002200002222-2-2-2-22-22-200000000000000000022002200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ36222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-222222222-2-222-2-222-2-222-2-20000000000000000000000000000000000-2-200-2-20000-2-2-2-2-2-2-2-22-22-2000000000000000000-2-200-2-200000000222222220000000000000000000000000000
χ37222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222222222-2-222-2-222-2-222-2-222000000000000000000000000000000002200220022220000-2-2-2-2-22-22000000000000000022002200-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ38222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222222222-2-222-2-222-2-222-2-22200000000000000000000000000000000-2-200-2-200-2-2-2-20000-2-2-2-2-22-220000000000000000-2-200-2-20022222222000000000000000000000000000000000000
χ392222222222222222222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-2222200000000000000000000000000000000000000002-22-2-22-2200000000000000000000
χ402222222222222222222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-222220000000000000000000000000000000000000000-22-222-22-200000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.