| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(C4×S3) = C6.S32 | φ: C4×S3/C2 → D6 ⊆ Aut C32 | 36 | 6 | C3^2:1(C4xS3) | 216,34 |
| C32⋊2(C4×S3) = He3⋊(C2×C4) | φ: C4×S3/C2 → D6 ⊆ Aut C32 | 36 | 6- | C3^2:2(C4xS3) | 216,36 |
| C32⋊3(C4×S3) = C4×C32⋊C6 | φ: C4×S3/C4 → S3 ⊆ Aut C32 | 36 | 6 | C3^2:3(C4xS3) | 216,50 |
| C32⋊4(C4×S3) = C4×He3⋊C2 | φ: C4×S3/C4 → S3 ⊆ Aut C32 | 36 | 3 | C3^2:4(C4xS3) | 216,67 |
| C32⋊5(C4×S3) = S3×C32⋊C4 | φ: C4×S3/S3 → C4 ⊆ Aut C32 | 12 | 8+ | C3^2:5(C4xS3) | 216,156 |
| C32⋊6(C4×S3) = Dic3×C3⋊S3 | φ: C4×S3/C6 → C22 ⊆ Aut C32 | 72 | | C3^2:6(C4xS3) | 216,125 |
| C32⋊7(C4×S3) = C33⋊8(C2×C4) | φ: C4×S3/C6 → C22 ⊆ Aut C32 | 36 | | C3^2:7(C4xS3) | 216,126 |
| C32⋊8(C4×S3) = C33⋊9(C2×C4) | φ: C4×S3/C6 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:8(C4xS3) | 216,131 |
| C32⋊9(C4×S3) = C3×C6.D6 | φ: C4×S3/Dic3 → C2 ⊆ Aut C32 | 24 | 4 | C3^2:9(C4xS3) | 216,120 |
| C32⋊10(C4×S3) = C12×C3⋊S3 | φ: C4×S3/C12 → C2 ⊆ Aut C32 | 72 | | C3^2:10(C4xS3) | 216,141 |
| C32⋊11(C4×S3) = C4×C33⋊C2 | φ: C4×S3/C12 → C2 ⊆ Aut C32 | 108 | | C3^2:11(C4xS3) | 216,146 |
| C32⋊12(C4×S3) = C3×S3×Dic3 | φ: C4×S3/D6 → C2 ⊆ Aut C32 | 24 | 4 | C3^2:12(C4xS3) | 216,119 |
| C32⋊13(C4×S3) = S3×C3⋊Dic3 | φ: C4×S3/D6 → C2 ⊆ Aut C32 | 72 | | C3^2:13(C4xS3) | 216,124 |