Is there a notation for the group of dilations, as related to the conformal group?

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I am interested in defining a connection on a principle G bundle, where G is the conformal group of orthogonal transformations and dilations. I have not found a good way of talking about this, because many times the conformal group refers to orthogonal transformations, dilations and translations and special conformal transformations, where I only want the first two. Is there a standard notation for the group of dilations, and for the conformal group that I am referring to?