| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C2×C9⋊S3) = C36.17D6 | φ: C2×C9⋊S3/C9⋊S3 → C2 ⊆ Aut C4 | 216 | | C4.1(C2xC9:S3) | 432,190 |
| C4.2(C2×C9⋊S3) = C36.18D6 | φ: C2×C9⋊S3/C9⋊S3 → C2 ⊆ Aut C4 | 216 | | C4.2(C2xC9:S3) | 432,191 |
| C4.3(C2×C9⋊S3) = C36.19D6 | φ: C2×C9⋊S3/C9⋊S3 → C2 ⊆ Aut C4 | 432 | | C4.3(C2xC9:S3) | 432,194 |
| C4.4(C2×C9⋊S3) = C36.20D6 | φ: C2×C9⋊S3/C9⋊S3 → C2 ⊆ Aut C4 | 216 | | C4.4(C2xC9:S3) | 432,195 |
| C4.5(C2×C9⋊S3) = C36.27D6 | φ: C2×C9⋊S3/C9⋊S3 → C2 ⊆ Aut C4 | 216 | | C4.5(C2xC9:S3) | 432,389 |
| C4.6(C2×C9⋊S3) = Q8×C9⋊S3 | φ: C2×C9⋊S3/C9⋊S3 → C2 ⊆ Aut C4 | 216 | | C4.6(C2xC9:S3) | 432,392 |
| C4.7(C2×C9⋊S3) = C36.29D6 | φ: C2×C9⋊S3/C9⋊S3 → C2 ⊆ Aut C4 | 216 | | C4.7(C2xC9:S3) | 432,393 |
| C4.8(C2×C9⋊S3) = C24.D9 | φ: C2×C9⋊S3/C3×C18 → C2 ⊆ Aut C4 | 432 | | C4.8(C2xC9:S3) | 432,168 |
| C4.9(C2×C9⋊S3) = C24⋊D9 | φ: C2×C9⋊S3/C3×C18 → C2 ⊆ Aut C4 | 216 | | C4.9(C2xC9:S3) | 432,171 |
| C4.10(C2×C9⋊S3) = C72⋊1S3 | φ: C2×C9⋊S3/C3×C18 → C2 ⊆ Aut C4 | 216 | | C4.10(C2xC9:S3) | 432,172 |
| C4.11(C2×C9⋊S3) = C2×C12.D9 | φ: C2×C9⋊S3/C3×C18 → C2 ⊆ Aut C4 | 432 | | C4.11(C2xC9:S3) | 432,380 |
| C4.12(C2×C9⋊S3) = C8×C9⋊S3 | central extension (φ=1) | 216 | | C4.12(C2xC9:S3) | 432,169 |
| C4.13(C2×C9⋊S3) = C72⋊S3 | central extension (φ=1) | 216 | | C4.13(C2xC9:S3) | 432,170 |
| C4.14(C2×C9⋊S3) = C2×C36.S3 | central extension (φ=1) | 432 | | C4.14(C2xC9:S3) | 432,178 |
| C4.15(C2×C9⋊S3) = C36.69D6 | central extension (φ=1) | 216 | | C4.15(C2xC9:S3) | 432,179 |
| C4.16(C2×C9⋊S3) = C36.70D6 | central extension (φ=1) | 216 | | C4.16(C2xC9:S3) | 432,383 |