This enemy is one of the foes found in Scorn of the Surging Menance
Throughout all 5 waves, you will have to prepare the means to counter various attacks, such as attacks that deal a set amount of damage, elemental attacks, attacks that inflict ailments, critical attacks, and more.
The greater demon that appears in WAVE 5 will use powerful magic, such as tornado, quake, flood, flare, and more. It will even attack your party's weakest elemental resistance with its mystical sword, so it is absolutely necessary that you prepare multiple means to boost your elemental resistance.
When its HP dips to a certain point, it will use demon's cackle to inflict berserk onto your party, so be sure you dispel that with fingersnap, which you can learn from the esper Odin, or through other means.