| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C2×C62) = C3×C6×Dic6 | φ: C2×C62/C62 → C2 ⊆ Aut C6 | 144 | | C6.1(C2xC6^2) | 432,700 |
| C6.2(C2×C62) = S3×C6×C12 | φ: C2×C62/C62 → C2 ⊆ Aut C6 | 144 | | C6.2(C2xC6^2) | 432,701 |
| C6.3(C2×C62) = C3×C6×D12 | φ: C2×C62/C62 → C2 ⊆ Aut C6 | 144 | | C6.3(C2xC6^2) | 432,702 |
| C6.4(C2×C62) = C32×C4○D12 | φ: C2×C62/C62 → C2 ⊆ Aut C6 | 72 | | C6.4(C2xC6^2) | 432,703 |
| C6.5(C2×C62) = S3×D4×C32 | φ: C2×C62/C62 → C2 ⊆ Aut C6 | 72 | | C6.5(C2xC6^2) | 432,704 |
| C6.6(C2×C62) = C32×D4⋊2S3 | φ: C2×C62/C62 → C2 ⊆ Aut C6 | 72 | | C6.6(C2xC6^2) | 432,705 |
| C6.7(C2×C62) = S3×Q8×C32 | φ: C2×C62/C62 → C2 ⊆ Aut C6 | 144 | | C6.7(C2xC6^2) | 432,706 |
| C6.8(C2×C62) = C32×Q8⋊3S3 | φ: C2×C62/C62 → C2 ⊆ Aut C6 | 144 | | C6.8(C2xC6^2) | 432,707 |
| C6.9(C2×C62) = Dic3×C62 | φ: C2×C62/C62 → C2 ⊆ Aut C6 | 144 | | C6.9(C2xC6^2) | 432,708 |
| C6.10(C2×C62) = C3×C6×C3⋊D4 | φ: C2×C62/C62 → C2 ⊆ Aut C6 | 72 | | C6.10(C2xC6^2) | 432,709 |
| C6.11(C2×C62) = C22×C4×He3 | central extension (φ=1) | 144 | | C6.11(C2xC6^2) | 432,401 |
| C6.12(C2×C62) = C22×C4×3- 1+2 | central extension (φ=1) | 144 | | C6.12(C2xC6^2) | 432,402 |
| C6.13(C2×C62) = D4×C3×C18 | central extension (φ=1) | 216 | | C6.13(C2xC6^2) | 432,403 |
| C6.14(C2×C62) = Q8×C3×C18 | central extension (φ=1) | 432 | | C6.14(C2xC6^2) | 432,406 |
| C6.15(C2×C62) = C4○D4×C3×C9 | central extension (φ=1) | 216 | | C6.15(C2xC6^2) | 432,409 |
| C6.16(C2×C62) = C24×He3 | central extension (φ=1) | 144 | | C6.16(C2xC6^2) | 432,563 |
| C6.17(C2×C62) = C24×3- 1+2 | central extension (φ=1) | 144 | | C6.17(C2xC6^2) | 432,564 |
| C6.18(C2×C62) = D4×C32×C6 | central extension (φ=1) | 216 | | C6.18(C2xC6^2) | 432,731 |
| C6.19(C2×C62) = Q8×C32×C6 | central extension (φ=1) | 432 | | C6.19(C2xC6^2) | 432,732 |
| C6.20(C2×C62) = C4○D4×C33 | central extension (φ=1) | 216 | | C6.20(C2xC6^2) | 432,733 |
| C6.21(C2×C62) = C2×D4×He3 | central stem extension (φ=1) | 72 | | C6.21(C2xC6^2) | 432,404 |
| C6.22(C2×C62) = C2×D4×3- 1+2 | central stem extension (φ=1) | 72 | | C6.22(C2xC6^2) | 432,405 |
| C6.23(C2×C62) = C2×Q8×He3 | central stem extension (φ=1) | 144 | | C6.23(C2xC6^2) | 432,407 |
| C6.24(C2×C62) = C2×Q8×3- 1+2 | central stem extension (φ=1) | 144 | | C6.24(C2xC6^2) | 432,408 |
| C6.25(C2×C62) = C4○D4×He3 | central stem extension (φ=1) | 72 | 6 | C6.25(C2xC6^2) | 432,410 |
| C6.26(C2×C62) = C4○D4×3- 1+2 | central stem extension (φ=1) | 72 | 6 | C6.26(C2xC6^2) | 432,411 |