| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C62 | 72 | C2xC6^2 | 72,50 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C6⋊(C2×C6) = S3×C2×C6 | φ: C2×C6/C6 → C2 ⊆ Aut C6 | 24 | C6:(C2xC6) | 72,48 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C6.1(C2×C6) = C3×Dic6 | φ: C2×C6/C6 → C2 ⊆ Aut C6 | 24 | 2 | C6.1(C2xC6) | 72,26 |
| C6.2(C2×C6) = S3×C12 | φ: C2×C6/C6 → C2 ⊆ Aut C6 | 24 | 2 | C6.2(C2xC6) | 72,27 |
| C6.3(C2×C6) = C3×D12 | φ: C2×C6/C6 → C2 ⊆ Aut C6 | 24 | 2 | C6.3(C2xC6) | 72,28 |
| C6.4(C2×C6) = C6×Dic3 | φ: C2×C6/C6 → C2 ⊆ Aut C6 | 24 | C6.4(C2xC6) | 72,29 | |
| C6.5(C2×C6) = C3×C3⋊D4 | φ: C2×C6/C6 → C2 ⊆ Aut C6 | 12 | 2 | C6.5(C2xC6) | 72,30 |
| C6.6(C2×C6) = D4×C9 | central extension (φ=1) | 36 | 2 | C6.6(C2xC6) | 72,10 |
| C6.7(C2×C6) = Q8×C9 | central extension (φ=1) | 72 | 2 | C6.7(C2xC6) | 72,11 |
| C6.8(C2×C6) = D4×C32 | central extension (φ=1) | 36 | C6.8(C2xC6) | 72,37 | |
| C6.9(C2×C6) = Q8×C32 | central extension (φ=1) | 72 | C6.9(C2xC6) | 72,38 |