| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C3.1(C32×C3⋊S3) = C32×C9⋊S3 | φ: C32×C3⋊S3/C34 → C2 ⊆ Aut C3 | 54 | | C3.1(C3^2xC3:S3) | 486,227 |
| C3.2(C32×C3⋊S3) = C3×He3⋊4S3 | φ: C32×C3⋊S3/C34 → C2 ⊆ Aut C3 | 54 | | C3.2(C3^2xC3:S3) | 486,229 |
| C3.3(C32×C3⋊S3) = C3×C33.S3 | φ: C32×C3⋊S3/C34 → C2 ⊆ Aut C3 | 54 | | C3.3(C3^2xC3:S3) | 486,232 |
| C3.4(C32×C3⋊S3) = C3×He3.4S3 | φ: C32×C3⋊S3/C34 → C2 ⊆ Aut C3 | 54 | 6 | C3.4(C3^2xC3:S3) | 486,234 |
| C3.5(C32×C3⋊S3) = 3+ 1+4⋊C2 | φ: C32×C3⋊S3/C34 → C2 ⊆ Aut C3 | 27 | 18+ | C3.5(C3^2xC3:S3) | 486,236 |
| C3.6(C32×C3⋊S3) = 3- 1+4⋊C2 | φ: C32×C3⋊S3/C34 → C2 ⊆ Aut C3 | 27 | 18+ | C3.6(C3^2xC3:S3) | 486,238 |
| C3.7(C32×C3⋊S3) = C3⋊S3×C3×C9 | central extension (φ=1) | 54 | | C3.7(C3^2xC3:S3) | 486,228 |
| C3.8(C32×C3⋊S3) = C32×He3⋊C2 | central stem extension (φ=1) | 81 | | C3.8(C3^2xC3:S3) | 486,230 |
| C3.9(C32×C3⋊S3) = C3⋊S3×He3 | central stem extension (φ=1) | 54 | | C3.9(C3^2xC3:S3) | 486,231 |
| C3.10(C32×C3⋊S3) = C3⋊S3×3- 1+2 | central stem extension (φ=1) | 54 | | C3.10(C3^2xC3:S3) | 486,233 |
| C3.11(C32×C3⋊S3) = C3×He3.4C6 | central stem extension (φ=1) | 81 | | C3.11(C3^2xC3:S3) | 486,235 |
| C3.12(C32×C3⋊S3) = 3+ 1+4⋊2C2 | central stem extension (φ=1) | 27 | 9 | C3.12(C3^2xC3:S3) | 486,237 |
| C3.13(C32×C3⋊S3) = 3- 1+4⋊2C2 | central stem extension (φ=1) | 27 | 9 | C3.13(C3^2xC3:S3) | 486,239 |