Aniline:
Aniline is an aromatic amine with the chemical formula C6H5NH2. It contains a benzene ring directly bonded to an amino group (-NH2). Aniline can undergo a carbylamine reaction.

Diethylamine:
Diethylamine is a secondary amine with the chemical formula C4H11N. It contains two ethyl groups (-C2H5) bonded to a nitrogen atom. Diethylamine can undergo a carbylamine reaction.

Triethylamine:
Triethylamine is a tertiary amine with the chemical formula C6H15N. It contains three ethyl groups (-C2H5) bonded to a nitrogen atom. Triethylamine can undergo a carbylamine reaction.

None:
There is no compound stated in the options that would not show a carbylamine reaction.

Explanation:
The carbylamine reaction, also known as the isocyanide test, is a chemical test used to distinguish primary amines from secondary and tertiary amines. In this reaction, when a primary amine is treated with chloroform (CHCl3) and alcoholic potassium hydroxide (KOH), it forms an isocyanide compound. This reaction is specific to primary amines and does not occur with secondary or tertiary amines.

In the carbylamine reaction, the amine reacts with chloroform to form an isocyanide compound. The reaction proceeds as follows:

1. The amine donates a lone pair of electrons from the nitrogen atom to the chloroform molecule, forming a positively charged nitrogen intermediate.
2. The intermediate then undergoes an elimination reaction, where a chloride ion is expelled and an isocyanide compound is formed.

Aniline, diethylamine, and triethylamine all contain primary, secondary, and tertiary amine groups, respectively. Therefore, all three compounds can undergo the carbylamine reaction.

To summarize:
- Aniline, diethylamine, and triethylamine can all show the carbylamine reaction.
- The carbylamine reaction is specific to primary amines and does not occur with secondary or tertiary amines.
- The reaction involves the formation of an isocyanide compound by treating the amine with chloroform and alcoholic potassium hydroxide.