| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| (C22×C4).1(C3⋊S3) = C12.12S4 | φ: C3⋊S3/C3 → S3 ⊆ Aut C22×C4 | 72 | 6 | (C2^2xC4).1(C3:S3) | 288,402 |
| (C22×C4).2(C3⋊S3) = A4⋊Dic6 | φ: C3⋊S3/C3 → S3 ⊆ Aut C22×C4 | 72 | 6- | (C2^2xC4).2(C3:S3) | 288,907 |
| (C22×C4).3(C3⋊S3) = C62⋊7C8 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C4 | 144 | | (C2^2xC4).3(C3:S3) | 288,305 |
| (C22×C4).4(C3⋊S3) = C62.15Q8 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C4 | 288 | | (C2^2xC4).4(C3:S3) | 288,306 |
| (C22×C4).5(C3⋊S3) = C2×C6.Dic6 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C4 | 288 | | (C2^2xC4).5(C3:S3) | 288,780 |
| (C22×C4).6(C3⋊S3) = C2×C12.58D6 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C4 | 144 | | (C2^2xC4).6(C3:S3) | 288,778 |
| (C22×C4).7(C3⋊S3) = C62⋊10Q8 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C4 | 144 | | (C2^2xC4).7(C3:S3) | 288,781 |
| (C22×C4).8(C3⋊S3) = C2×C12⋊Dic3 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C4 | 288 | | (C2^2xC4).8(C3:S3) | 288,782 |
| (C22×C4).9(C3⋊S3) = C62.247C23 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C4 | 144 | | (C2^2xC4).9(C3:S3) | 288,783 |
| (C22×C4).10(C3⋊S3) = C22×C32⋊4Q8 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C4 | 288 | | (C2^2xC4).10(C3:S3) | 288,1003 |
| (C22×C4).11(C3⋊S3) = C22×C32⋊4C8 | central extension (φ=1) | 288 | | (C2^2xC4).11(C3:S3) | 288,777 |
| (C22×C4).12(C3⋊S3) = C2×C4×C3⋊Dic3 | central extension (φ=1) | 288 | | (C2^2xC4).12(C3:S3) | 288,779 |