  How higher-order interactions influence the dynamics of second order phase
oscillators? We address this question using three coupled Kuramoto phase
oscillators with inertia under both pairwise and higher order interactions,
finding collective states, which are absent for pair-wise interactions. Chimera
states appear in an expanded parameter region of the 3-node network by
comparison to the network's response in the absence of the higher-order
interactions. %That attempt enables us to understand the emergence of chimera
states. This small network of three nodes is investigated for different sets of
phase lags and over a range of negative to positive coupling strength of
pairwise as well as higher order or group interactions. It demonstrates how
important are the choices of the phase lag and the sign of the coupling for the
emergent dynamics of the system.
