| extension | φ:Q→Aut N | d | ρ | Label | ID | 
| C2.1(D4×C3⋊S3) = C22⋊C4×C3⋊S3 | central extension (φ=1) | 72 |  | C2.1(D4xC3:S3) | 288,737 | 
| C2.2(D4×C3⋊S3) = C62.225C23 | central extension (φ=1) | 144 |  | C2.2(D4xC3:S3) | 288,738 | 
| C2.3(D4×C3⋊S3) = C4⋊C4×C3⋊S3 | central extension (φ=1) | 144 |  | C2.3(D4xC3:S3) | 288,748 | 
| C2.4(D4×C3⋊S3) = C62.237C23 | central extension (φ=1) | 144 |  | C2.4(D4xC3:S3) | 288,750 | 
| C2.5(D4×C3⋊S3) = D4×C3⋊Dic3 | central extension (φ=1) | 144 |  | C2.5(D4xC3:S3) | 288,791 | 
| C2.6(D4×C3⋊S3) = C62⋊6Q8 | central stem extension (φ=1) | 144 |  | C2.6(D4xC3:S3) | 288,735 | 
| C2.7(D4×C3⋊S3) = C62⋊12D4 | central stem extension (φ=1) | 72 |  | C2.7(D4xC3:S3) | 288,739 | 
| C2.8(D4×C3⋊S3) = C62.227C23 | central stem extension (φ=1) | 144 |  | C2.8(D4xC3:S3) | 288,740 | 
| C2.9(D4×C3⋊S3) = C62.228C23 | central stem extension (φ=1) | 144 |  | C2.9(D4xC3:S3) | 288,741 | 
| C2.10(D4×C3⋊S3) = C62.229C23 | central stem extension (φ=1) | 144 |  | C2.10(D4xC3:S3) | 288,742 | 
| C2.11(D4×C3⋊S3) = C12⋊2Dic6 | central stem extension (φ=1) | 288 |  | C2.11(D4xC3:S3) | 288,745 | 
| C2.12(D4×C3⋊S3) = C62.238C23 | central stem extension (φ=1) | 144 |  | C2.12(D4xC3:S3) | 288,751 | 
| C2.13(D4×C3⋊S3) = C12⋊3D12 | central stem extension (φ=1) | 144 |  | C2.13(D4xC3:S3) | 288,752 | 
| C2.14(D4×C3⋊S3) = C62.240C23 | central stem extension (φ=1) | 144 |  | C2.14(D4xC3:S3) | 288,753 | 
| C2.15(D4×C3⋊S3) = D8×C3⋊S3 | central stem extension (φ=1) | 72 |  | C2.15(D4xC3:S3) | 288,767 | 
| C2.16(D4×C3⋊S3) = C24⋊8D6 | central stem extension (φ=1) | 72 |  | C2.16(D4xC3:S3) | 288,768 | 
| C2.17(D4×C3⋊S3) = C24.26D6 | central stem extension (φ=1) | 144 |  | C2.17(D4xC3:S3) | 288,769 | 
| C2.18(D4×C3⋊S3) = SD16×C3⋊S3 | central stem extension (φ=1) | 72 |  | C2.18(D4xC3:S3) | 288,770 | 
| C2.19(D4×C3⋊S3) = C24⋊7D6 | central stem extension (φ=1) | 72 |  | C2.19(D4xC3:S3) | 288,771 | 
| C2.20(D4×C3⋊S3) = C24.32D6 | central stem extension (φ=1) | 144 |  | C2.20(D4xC3:S3) | 288,772 | 
| C2.21(D4×C3⋊S3) = C24.40D6 | central stem extension (φ=1) | 144 |  | C2.21(D4xC3:S3) | 288,773 | 
| C2.22(D4×C3⋊S3) = Q16×C3⋊S3 | central stem extension (φ=1) | 144 |  | C2.22(D4xC3:S3) | 288,774 | 
| C2.23(D4×C3⋊S3) = C24.35D6 | central stem extension (φ=1) | 144 |  | C2.23(D4xC3:S3) | 288,775 | 
| C2.24(D4×C3⋊S3) = C24.28D6 | central stem extension (φ=1) | 144 |  | C2.24(D4xC3:S3) | 288,776 | 
| C2.25(D4×C3⋊S3) = C62⋊13D4 | central stem extension (φ=1) | 72 |  | C2.25(D4xC3:S3) | 288,794 | 
| C2.26(D4×C3⋊S3) = C62.256C23 | central stem extension (φ=1) | 144 |  | C2.26(D4xC3:S3) | 288,795 | 
| C2.27(D4×C3⋊S3) = C62⋊14D4 | central stem extension (φ=1) | 144 |  | C2.27(D4xC3:S3) | 288,796 | 
| C2.28(D4×C3⋊S3) = C62.258C23 | central stem extension (φ=1) | 144 |  | C2.28(D4xC3:S3) | 288,797 |