Śrī Gaja Vāhanar
The Kumāra Tantram refers to this form of Murukan with one face and four hands. They are with the weapons śakti and cock in two hands while the others are in the abhaya and varada poses. As per another reference, he is holding the Vel and the sword in his two right hands and the cock-flag in both the left hands.
The gateway of the eastern gopuram at Chidambaram bears a beautiful image of this Gajārudhar and Arunagirinathar refers to this deity in appropriate words.
From "In the Footsteps of Saint Arunagirinathar: Pilgrimage to the sacred places in the Tiruppukal" by Vallayapettai Ra. Krishnan