| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C6×C12 | 144 | C2xC6xC12 | 144,178 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C32⋊1(C22×C4) = C4×S32 | φ: C22×C4/C4 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:1(C2^2xC4) | 144,143 |
| C32⋊2(C22×C4) = C22×C32⋊C4 | φ: C22×C4/C22 → C4 ⊆ Aut C32 | 24 | C3^2:2(C2^2xC4) | 144,191 | |
| C32⋊3(C22×C4) = C2×S3×Dic3 | φ: C22×C4/C22 → C22 ⊆ Aut C32 | 48 | C3^2:3(C2^2xC4) | 144,146 | |
| C32⋊4(C22×C4) = C2×C6.D6 | φ: C22×C4/C22 → C22 ⊆ Aut C32 | 24 | C3^2:4(C2^2xC4) | 144,149 | |
| C32⋊5(C22×C4) = S3×C2×C12 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C32 | 48 | C3^2:5(C2^2xC4) | 144,159 | |
| C32⋊6(C22×C4) = C2×C4×C3⋊S3 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C32 | 72 | C3^2:6(C2^2xC4) | 144,169 | |
| C32⋊7(C22×C4) = Dic3×C2×C6 | φ: C22×C4/C23 → C2 ⊆ Aut C32 | 48 | C3^2:7(C2^2xC4) | 144,166 | |
| C32⋊8(C22×C4) = C22×C3⋊Dic3 | φ: C22×C4/C23 → C2 ⊆ Aut C32 | 144 | C3^2:8(C2^2xC4) | 144,176 |