| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| Q8×C3×C6 | 144 | Q8xC3xC6 | 144,180 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C32⋊(C2×Q8) = C2×PSU3(𝔽2) | φ: C2×Q8/C2 → Q8 ⊆ Aut C32 | 18 | 8+ | C3^2:(C2xQ8) | 144,187 |
| C32⋊2(C2×Q8) = S3×Dic6 | φ: C2×Q8/C4 → C22 ⊆ Aut C32 | 48 | 4- | C3^2:2(C2xQ8) | 144,137 |
| C32⋊3(C2×Q8) = Dic3.D6 | φ: C2×Q8/C4 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:3(C2xQ8) | 144,140 |
| C32⋊4(C2×Q8) = C2×C32⋊2Q8 | φ: C2×Q8/C22 → C22 ⊆ Aut C32 | 48 | C3^2:4(C2xQ8) | 144,152 | |
| C32⋊5(C2×Q8) = C6×Dic6 | φ: C2×Q8/C2×C4 → C2 ⊆ Aut C32 | 48 | C3^2:5(C2xQ8) | 144,158 | |
| C32⋊6(C2×Q8) = C2×C32⋊4Q8 | φ: C2×Q8/C2×C4 → C2 ⊆ Aut C32 | 144 | C3^2:6(C2xQ8) | 144,168 | |
| C32⋊7(C2×Q8) = C3×S3×Q8 | φ: C2×Q8/Q8 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:7(C2xQ8) | 144,164 |
| C32⋊8(C2×Q8) = Q8×C3⋊S3 | φ: C2×Q8/Q8 → C2 ⊆ Aut C32 | 72 | C3^2:8(C2xQ8) | 144,174 |