| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C6×C32⋊4Q8 | 144 | C6xC3^2:4Q8 | 432,710 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C2×C32⋊4Q8) = S3×C32⋊4Q8 | φ: C2×C32⋊4Q8/C32⋊4Q8 → C2 ⊆ Aut C3 | 144 | C3:1(C2xC3^2:4Q8) | 432,660 | |
| C3⋊2(C2×C32⋊4Q8) = C2×C33⋊4Q8 | φ: C2×C32⋊4Q8/C2×C3⋊Dic3 → C2 ⊆ Aut C3 | 144 | C3:2(C2xC3^2:4Q8) | 432,683 | |
| C3⋊3(C2×C32⋊4Q8) = C2×C33⋊8Q8 | φ: C2×C32⋊4Q8/C6×C12 → C2 ⊆ Aut C3 | 432 | C3:3(C2xC3^2:4Q8) | 432,720 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(C2×C32⋊4Q8) = C2×C12.D9 | φ: C2×C32⋊4Q8/C6×C12 → C2 ⊆ Aut C3 | 432 | C3.(C2xC3^2:4Q8) | 432,380 | |
| C3.2(C2×C32⋊4Q8) = C2×He3⋊4Q8 | central stem extension (φ=1) | 144 | C3.2(C2xC3^2:4Q8) | 432,384 |