| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C12.1(C3⋊S3) = C12.D9 | φ: C3⋊S3/C32 → C2 ⊆ Aut C12 | 216 | | C12.1(C3:S3) | 216,63 |
| C12.2(C3⋊S3) = C36⋊S3 | φ: C3⋊S3/C32 → C2 ⊆ Aut C12 | 108 | | C12.2(C3:S3) | 216,65 |
| C12.3(C3⋊S3) = C33⋊8Q8 | φ: C3⋊S3/C32 → C2 ⊆ Aut C12 | 216 | | C12.3(C3:S3) | 216,145 |
| C12.4(C3⋊S3) = C36.S3 | φ: C3⋊S3/C32 → C2 ⊆ Aut C12 | 216 | | C12.4(C3:S3) | 216,16 |
| C12.5(C3⋊S3) = C4×C9⋊S3 | φ: C3⋊S3/C32 → C2 ⊆ Aut C12 | 108 | | C12.5(C3:S3) | 216,64 |
| C12.6(C3⋊S3) = C33⋊7C8 | φ: C3⋊S3/C32 → C2 ⊆ Aut C12 | 216 | | C12.6(C3:S3) | 216,84 |
| C12.7(C3⋊S3) = He3⋊4Q8 | φ: C3⋊S3/C32 → C2 ⊆ Aut C12 | 72 | 6 | C12.7(C3:S3) | 216,66 |
| C12.8(C3⋊S3) = He3⋊5D4 | φ: C3⋊S3/C32 → C2 ⊆ Aut C12 | 36 | 6 | C12.8(C3:S3) | 216,68 |
| C12.9(C3⋊S3) = C3×C32⋊4Q8 | φ: C3⋊S3/C32 → C2 ⊆ Aut C12 | 72 | | C12.9(C3:S3) | 216,140 |
| C12.10(C3⋊S3) = He3⋊4C8 | central extension (φ=1) | 72 | 3 | C12.10(C3:S3) | 216,17 |
| C12.11(C3⋊S3) = C4×He3⋊C2 | central extension (φ=1) | 36 | 3 | C12.11(C3:S3) | 216,67 |
| C12.12(C3⋊S3) = C3×C32⋊4C8 | central extension (φ=1) | 72 | | C12.12(C3:S3) | 216,83 |