| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| (C22×C4)⋊1(C3×S3) = C12×S4 | φ: C3×S3/C3 → S3 ⊆ Aut C22×C4 | 36 | 3 | (C2^2xC4):1(C3xS3) | 288,897 |
| (C22×C4)⋊2(C3×S3) = C3×C4⋊S4 | φ: C3×S3/C3 → S3 ⊆ Aut C22×C4 | 36 | 6 | (C2^2xC4):2(C3xS3) | 288,898 |
| (C22×C4)⋊3(C3×S3) = A4×D12 | φ: C3×S3/C3 → C6 ⊆ Aut C22×C4 | 36 | 6+ | (C2^2xC4):3(C3xS3) | 288,920 |
| (C22×C4)⋊4(C3×S3) = C4×S3×A4 | φ: C3×S3/S3 → C3 ⊆ Aut C22×C4 | 36 | 6 | (C2^2xC4):4(C3xS3) | 288,919 |
| (C22×C4)⋊5(C3×S3) = C6×D6⋊C4 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 96 | | (C2^2xC4):5(C3xS3) | 288,698 |
| (C22×C4)⋊6(C3×S3) = C12×C3⋊D4 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 48 | | (C2^2xC4):6(C3xS3) | 288,699 |
| (C22×C4)⋊7(C3×S3) = C3×C23.28D6 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 48 | | (C2^2xC4):7(C3xS3) | 288,700 |
| (C22×C4)⋊8(C3×S3) = C3×C12⋊7D4 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 48 | | (C2^2xC4):8(C3xS3) | 288,701 |
| (C22×C4)⋊9(C3×S3) = C2×C6×D12 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 96 | | (C2^2xC4):9(C3xS3) | 288,990 |
| (C22×C4)⋊10(C3×S3) = C6×C4○D12 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 48 | | (C2^2xC4):10(C3xS3) | 288,991 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| (C22×C4).1(C3×S3) = C3×A4⋊C8 | φ: C3×S3/C3 → S3 ⊆ Aut C22×C4 | 72 | 3 | (C2^2xC4).1(C3xS3) | 288,398 |
| (C22×C4).2(C3×S3) = C3×A4⋊Q8 | φ: C3×S3/C3 → S3 ⊆ Aut C22×C4 | 72 | 6 | (C2^2xC4).2(C3xS3) | 288,896 |
| (C22×C4).3(C3×S3) = A4×Dic6 | φ: C3×S3/C3 → C6 ⊆ Aut C22×C4 | 72 | 6- | (C2^2xC4).3(C3xS3) | 288,918 |
| (C22×C4).4(C3×S3) = A4×C3⋊C8 | φ: C3×S3/S3 → C3 ⊆ Aut C22×C4 | 72 | 6 | (C2^2xC4).4(C3xS3) | 288,408 |
| (C22×C4).5(C3×S3) = C3×C12.55D4 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 48 | | (C2^2xC4).5(C3xS3) | 288,264 |
| (C22×C4).6(C3×S3) = C3×C6.C42 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 96 | | (C2^2xC4).6(C3xS3) | 288,265 |
| (C22×C4).7(C3×S3) = C6×Dic3⋊C4 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 96 | | (C2^2xC4).7(C3xS3) | 288,694 |
| (C22×C4).8(C3×S3) = C6×C4.Dic3 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 48 | | (C2^2xC4).8(C3xS3) | 288,692 |
| (C22×C4).9(C3×S3) = C3×C12.48D4 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 48 | | (C2^2xC4).9(C3xS3) | 288,695 |
| (C22×C4).10(C3×S3) = C6×C4⋊Dic3 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 96 | | (C2^2xC4).10(C3xS3) | 288,696 |
| (C22×C4).11(C3×S3) = C3×C23.26D6 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 48 | | (C2^2xC4).11(C3xS3) | 288,697 |
| (C22×C4).12(C3×S3) = C2×C6×Dic6 | φ: C3×S3/C32 → C2 ⊆ Aut C22×C4 | 96 | | (C2^2xC4).12(C3xS3) | 288,988 |
| (C22×C4).13(C3×S3) = C2×C6×C3⋊C8 | central extension (φ=1) | 96 | | (C2^2xC4).13(C3xS3) | 288,691 |
| (C22×C4).14(C3×S3) = Dic3×C2×C12 | central extension (φ=1) | 96 | | (C2^2xC4).14(C3xS3) | 288,693 |