By expanding the coverage area and reducing the transmit power, cooperative communication, namely the multihop communication, has arrived at a higher demand. The ASER of the triangular type quadrature amplitude modulation (TQAM) is investigated for a multihop wireless link through decode and forward (DF) type intermediary relays. The channels of the wireless transmission system are influenced by the α-Lomax fading distribution. The α-Lomax distribution provides higher flexibility for wireless fading channels modelling. The propagation of noise to the next link is suppressed in the DF relaying strategy. The TQAM technique produces high efficiency due to its compact geometry. The end-to-end (e2e) outage probability (OP) in the multihop transmission model is acquired. The moment generating function (MGF) supported method is utilized to obtain the system’s ASER. The Chernoff approximation for the Gaussian Q-function is employed to simplify the ASER statement. The evaluated data of the OP and ASER with the TQAM scheme are reflected in the figures for various values of the non-linearity in the transmission medium and shape parameter in the fading environment. The performance of the system boosts with the enhancement in the shape parameter that determines the channel fading severity status. Whenever the shape parameter boosts, the severity of the channel fading turns into reduced. Moreover, the OP and ASER with TQAM status upgrades whenever the non-linearity of the transmitting surroundings enhances. Enhancing the number of hops, the status of the transmission model deteriorates, although the energy efficiency is increased. It is realised that the status of the transmission model is almost the same for less variation in the numeral of hops, with the specific amount of channel parameters.