Many of the large flowered clematis have been a mix of crossing different species up to the point that they are no longer a species. They are broadly referred to as Hybrid Clematis or sometimes known as Jackmanii Hybrids.
From Wikipedia: Clematis ‘Jackmanii’ is a Clematis cultivar which, when it was introduced in 1862, was the first of the modern large-flowered hybrid clematises of gardens. It is a climber with large violet-purple blooms, still among the most familiar climbers seen in gardens. It was produced from crosses made by the prominent nurseryman George Jackman (1837–1887),[1] of Jackman & Sons, Woking, Surrey.
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Out of stockVelvet purple with red stripe flowers approximately 14-16.5cm in diameter produced on a moderate vine growing to 2.4-3mt in size. Flowers . Pruning group 2. deciduous and a climber. Gardini™ Evison™/Poulsen®
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Out of stockBluish purple, slightly pinker along midveins flowers 8-10cm in diameter are produced on a compact vine growing 90cm-1.2mt. The flower then matures to very pale lavender-blue. Flowers spring to autumn. Pruning group 2 (light prune). Deciduous and a climber.
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Out of stockInteresting single to double bluish-purple flowers approximately 15-17cm in diameter produced on a moderate vine growing to 1.8-2.4mt in size. Flowers Spring to Autumn. Pruning group 2. deciduous and a climber.
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Out of stockThe most vigorous of the compact patio range. Clematis Cezanne is suitable in a container or in the garden. Blue flowers with a yellow centre over a long flowering period. 100cm X 60cm. Prune to 30cm in spring