| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C2×C62) = D8×C3×C6 | φ: C2×C62/C62 → C2 ⊆ Aut C4 | 144 | | C4.1(C2xC6^2) | 288,829 |
| C4.2(C2×C62) = SD16×C3×C6 | φ: C2×C62/C62 → C2 ⊆ Aut C4 | 144 | | C4.2(C2xC6^2) | 288,830 |
| C4.3(C2×C62) = Q16×C3×C6 | φ: C2×C62/C62 → C2 ⊆ Aut C4 | 288 | | C4.3(C2xC6^2) | 288,831 |
| C4.4(C2×C62) = C32×C4○D8 | φ: C2×C62/C62 → C2 ⊆ Aut C4 | 144 | | C4.4(C2xC6^2) | 288,832 |
| C4.5(C2×C62) = C32×C8⋊C22 | φ: C2×C62/C62 → C2 ⊆ Aut C4 | 72 | | C4.5(C2xC6^2) | 288,833 |
| C4.6(C2×C62) = C32×C8.C22 | φ: C2×C62/C62 → C2 ⊆ Aut C4 | 144 | | C4.6(C2xC6^2) | 288,834 |
| C4.7(C2×C62) = Q8×C62 | φ: C2×C62/C62 → C2 ⊆ Aut C4 | 288 | | C4.7(C2xC6^2) | 288,1020 |
| C4.8(C2×C62) = C4○D4×C3×C6 | φ: C2×C62/C62 → C2 ⊆ Aut C4 | 144 | | C4.8(C2xC6^2) | 288,1021 |
| C4.9(C2×C62) = C32×2+ 1+4 | φ: C2×C62/C62 → C2 ⊆ Aut C4 | 72 | | C4.9(C2xC6^2) | 288,1022 |
| C4.10(C2×C62) = C32×2- 1+4 | φ: C2×C62/C62 → C2 ⊆ Aut C4 | 144 | | C4.10(C2xC6^2) | 288,1023 |
| C4.11(C2×C62) = M4(2)×C3×C6 | central extension (φ=1) | 144 | | C4.11(C2xC6^2) | 288,827 |
| C4.12(C2×C62) = C32×C8○D4 | central extension (φ=1) | 144 | | C4.12(C2xC6^2) | 288,828 |