Hybrid drive of a motor vehicle and method for operating same

A hybrid drive of a motor vehicle comprising an internal combustion engine, an electric machine, and a transmission, wherein the transmission is a multi-stage shifting transmission comprising:

• a first subtransmission comprising a first input shaft;
• and
• a second subtransmission comprising a second input shaft, said first and second subtransmissions sharing a common output shaft,
• wherein the first input shaft (7) of the first subtransmission is releaseably coupled to the internal combustion engine,
• wherein the second input shaft of the second subtransmission is rigidly coupled to the electric machine,
• wherein the first and second input shafts are selectively coupled to the common output shaft,
• wherein the first input shaft of the first subtransmission is attached to first and second clutches in such a way that when the first clutch and the second clutch, which is connected in series between the first clutch and the first subtransmission, are both engaged, the internal combustion engine is coupled to the first input shaft and to the first subtransmission, whereas when at least one of the first or second clutches is disengaged, the internal combustion engine is decoupled from the first input shaft and from the first subtransmission, and
• wherein the second input shaft of the second subtransmission is attached to a form-locking shift element in such a way that when the form-locking shift element is engaged, the electric machine is coupled to a shaft portion that extends between the first and second clutches.