Finite Group Databasebeta

← Group #72343212

Character table — Group #72343212

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182
size1111222222222244444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883232323232323232646464646464646464646464
order124424444488882222222224444444444444444444448888888888888888222444444444444888888888888888888888888888888888888888888888888888888888888888888888888888888888888888248816161616444888161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-1
χ61111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111
χ71111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-11111
χ81111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-111-11111-1-1-1-1
χ911111111111111-1-111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111-11-1-11-1111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-11-1-1-111-1-1
χ1011111111111111-1-111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111-11-1-11-1111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-111
χ1111111111111111-1-111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111-11-1-11-1111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-11-1-11-111-1-111
χ1211111111111111-1-111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111-11-1-11-1111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-111-11-1-111-1-1
χ1311111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-11-1-11-1-1-1-111
χ1411111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-111-11111-1-1
χ1511111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1
χ1611111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-111
χ17111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1-1-1111111111iiii−i−i−i−i-1-1-1-1-1-1-1-11-1-11-1-1-11111-1-111-1-111-1-111-1-111111-1-111-1-111-1-1iiiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i11-1-1-11i−ii−ii−i
χ18111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1-1-1111111111iiii−i−i−i−i-1-1-1-1-1-1-1-11-1-11-1-1-11111-1-111-1-111-1-111-1-111111-1-111-1-111-1-1iiiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1111-1−ii−ii−ii
χ19111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1-1-1111111111−i−i−i−iiiii-1-1-1-1-1-1-1-11-1-11-1-1-11111-1-111-1-111-1-111-1-111111-1-111-1-111-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii11-1-1-11−ii−ii−ii
χ20111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1-1-1111111111−i−i−i−iiiii-1-1-1-1-1-1-1-11-1-11-1-1-11111-1-111-1-111-1-111-1-111111-1-111-1-111-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1111-1i−ii−ii−i
χ21111111-1-1-1-1-1-1-1-111-1-11111111-1-111-1-1-1-11111-1-1-1-111111iiii−i−i−i−i-1-1-1-1-1-1-11-1-11-1-1-1-111-1-11111-1-1-1-111-1-11111111-1-1-1-111-1-111iiiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i1-11-11-1i−i−ii−ii
χ22111111-1-1-1-1-1-1-1-111-1-11111111-1-111-1-1-1-11111-1-1-1-111111iiii−i−i−i−i-1-1-1-1-1-1-11-1-11-1-1-1-111-1-11111-1-1-1-111-1-11111111-1-1-1-111-1-111iiiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii-11-11-11−iii−ii−i
χ23111111-1-1-1-1-1-1-1-111-1-11111111-1-111-1-1-1-11111-1-1-1-111111−i−i−i−iiiii-1-1-1-1-1-1-11-1-11-1-1-1-111-1-11111-1-1-1-111-1-11111111-1-1-1-111-1-111−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii1-11-11-1−iii−ii−i
χ24111111-1-1-1-1-1-1-1-111-1-11111111-1-111-1-1-1-11111-1-1-1-111111−i−i−i−iiiii-1-1-1-1-1-1-11-1-11-1-1-1-111-1-11111-1-1-1-111-1-11111111-1-1-1-111-1-111−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i-11-11-11i−i−ii−ii
χ25111111-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-111111iiii−i−i−i−i-1-1-1-1-1-11-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-11111-1-1-1-111iiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-1111-1-1−iii−i−ii
χ26111111-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-111111iiii−i−i−i−i-1-1-1-1-1-11-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-11111-1-1-1-111iiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii1-1-1-111i−i−iii−i
χ27111111-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-111111−i−i−i−iiiii-1-1-1-1-1-11-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-11111-1-1-1-111−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-1111-1-1i−i−iii−i
χ28111111-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-111111−i−i−i−iiiii-1-1-1-1-1-11-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-11111-1-1-1-111−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i1-1-1-111−iii−i−ii
χ29111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111111111iiii−i−i−i−i-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-111-1-11111-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i-1-1-1111−ii−iii−i
χ30111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111111111iiii−i−i−i−i-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-111-1-11111-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii111-1-1-1i−ii−i−ii
χ31111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111111111−i−i−i−iiiii-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-111-1-11111-1-1−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii-1-1-1111i−ii−i−ii
χ32111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111111111−i−i−i−iiiii-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-111-1-11111-1-1−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i111-1-1-1−ii−iii−i
χ33222222222222220000222-2-20000220000000022222-2-2222222222222-2-2-2-200-200-22-2-20000-2-20000000022-2-22-2-200000000-2-22222-2-2-2-222-2-2-2-2000000000000000000000000000000002222-2-2-2-22222-2-2-2-200000000000000000000
χ34222222222222220000222-2-20000220000000022222-2-222-2-2-2-2-2-2-2-222-2-2-2-200-200-22-2-20000-2-20000000022-2-22-2-200000000-2-222-2-22222-2-2222200000000000000000000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000
χ35222222222222220000-2-22-2-20000-2-200000000-2-2-2-22-2-2222222222222-2-2-2-20020022-2-200002200000000-2-2222-2-20000000022-2-222-2-2-2-222-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000
χ36222222222222220000-2-22-2-20000-2-200000000-2-2-2-22-2-222-2-2-2-2-2-2-2-222-2-2-2-20020022-2-200002200000000-2-2222-2-20000000022-2-2-2-22222-2-22222000000000000000000000000000000002222-2-2-2-22222-2-2-2-200000000000000000000
χ3722222222222222002200-22-2002200000022220000-22-22222222222-2-222-2-20-200-20-22-200-2-2000000-2-2220000-22-2000022-2-20000-2-222-2-2-2-222-2-200000000000000002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ3822222222222222002200-22-2002200000022220000-22-222-2-2-2-2-2-2-2-2-2-222-2-20-200-20-22-200-2-2000000-2-2220000-22-2000022-2-2000022-2-22222-2-2220000000000000000-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ392222222222222200-2-200-22-200-2-2000000-2-2-2-20000-22-22222222222-2-222-2-2020020-22-2002200000022-2-20000-22-20000-2-2220000-2-222-2-2-2-222-2-20000000000000000-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ402222222222222200-2-200-22-200-2-2000000-2-2-2-20000-22-222-2-2-2-2-2-2-2-2-2-222-2-2020020-22-2002200000022-2-20000-22-20000-2-222000022-2-22222-2-22200000000000000002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ4122222222222222220000-2-22220000222200000000-2-222222222222-2-2-2-222-200-200-2-22-2-20000-2-22200000000-2-2222-2-200000000-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ4222222222222222220000-2-22220000222200000000-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-200-200-2-22-2-20000-2-22200000000-2-2222-2-2000000002222-2-22222-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ4322222222222222-2-20000-2-22-2-20000-2-2-2-200000000-2-222222222222-2-2-2-222200200-2-2222000022-2-200000000-2-22-2-22200000000-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ4422222222222222-2-20000-2-22-2-20000-2-2-2-200000000-2-2222-2-2-2-2-2-2-2-2-2-2-2-222200200-2-2222000022-2-200000000-2-22-2-222000000002222-2-22222-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ452222222222-2-2-2-20000222-2-20000220000000022222-2-2-2-200000000-2-2222200-200-22-2-20000-2-200000000-2-222-2220000000022-2-200000000000022-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-2000000000000000000000000000000000000
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χ1638888-8-80000-8-8880000000000000000000000000000000042−42−4242−424242−4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1788-8−8i8i004−4i−4+4i4+4i−4−4i0000-44-444-40004i−4i4i−4i−4i4i4i−4i-444i−4i-444-4−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1798-8−8i8i00−4+4i4−4i−4−4i4+4i00004-44-4-44000−4i4i−4i4i4i−4i4i−4i-444i−4i-444-4−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1818-8−8i8i00−4+4i4−4i−4−4i4+4i0000-444-44-40004i−4i−4i4i−4i4i−4i4i4-44i−4i-44-444i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1828-8−8i8i00−4+4i4−4i−4−4i4+4i0000-44-44-440004i−4i4i−4i4i−4i−4i4i4-4−4i4i4-44-4−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.