Liquid-crystalline mixtures

Mixture comprising one or more compounds which conform to a formula (1) or a formula (2),

• where the following applies to the variables occurring:
• A11, A12, A21, A22, A23, A24 are selected from
• Z11, Z21, Z22, Z23 are selected from a single bond, —(C═O)—O—, —O—(C═O)—, —CF2—O—, —O—CF2—, —O—CH2—, —CH2—O— and —CH2—CH2—;
• R11, R12, R21, R22 are selected on each occurrence, identically or differently, from H, F, Cl, CN, NCS, alkyl groups having 1 to 10 C atoms, alkoxy groups having 1 to 10 C atoms, thioalkoxy groups having 1 to 10 C atoms, alkenyl groups having 2 to 10 C atoms and alkenyloxy groups having 2 to 10 C atoms, where one or more H atoms in the alkyl, alkoxy, thioalkoxy, alkenyl and alkenyloxy groups may be replaced by F, Cl or CN;
• T is selected from —CN, F, —N3, —NCS, NO2, —C≡C—R3, alkyl groups having 1 to 10 C atoms and alkoxy groups having 1 to 10 C atoms, where one or more H atoms in the alkyl and alkoxy groups may be replaced by F, Cl or CN;
• R3 is selected from H, CN, alkyl groups having 1 to 10 C atoms, where one or more C atoms in the alkyl groups may be replaced by F, Cl or CN, and —C≡C—R4;
• R4 is selected from H, CN, and alkyl groups having 1 to 10 C atoms, where one or more C atoms in the alkyl groups may be replaced by F, Cl or CN;
• i is on each occurrence, identically or differently, 0 or 1, where the sum of the indices i in a formula is at least equal to 1;
• k is on each occurrence, identically or differently, 0 or 1, where the sum of the indices k in a formula is at least equal to 1;
• p is equal to 0 or 1;
• and one or more compounds of the formula (3)
• where the following applies to the variables occurring:
• A31 is selected on each occurrence, identically or differently, from
• R31 and R32 are selected on each occurrence, identically or differently, from H, F, Cl, CN, NCS, alkyl groups having 1 to 10 C atoms, alkoxy groups having 1 to 10 C atoms, thioalkoxy groups having 1 to 10 C atoms, alkenyl groups having 2 to 10 C atoms and alkenyloxy groups having 2 to 10 C atoms, where one or more H atoms in the alkyl, alkoxy, thioalkoxy, alkenyl and alkenyloxy groups may be replaced by F, Cl or CN;
• Z31 is selected on each occurrence, identically or differently, from a single bond, —(C═O)—O—, —O—(C═O)—, —CF2—O—, —O—CF2—, —O—CH2—, —CH2—O— and —CH2—CH2—;
• m is equal to 0, 1, 2 or 3;
• where the sum of the proportions of the compounds of the formula (1), the compounds of the formula (2) and the compounds of the formula (3) in the mixture is at least 58%,
• and where one or both of the following conditions a) and b) are satisfied:
• a) the mixture comprises one or more compounds V which contain four or more rings,
• b) the mixture comprises a proportion of at least 25% of compounds of the formula (2).