| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C22×A4) = A4×Dic6 | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 72 | 6- | C6.1(C2^2xA4) | 288,918 |
| C6.2(C22×A4) = C4×S3×A4 | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 36 | 6 | C6.2(C2^2xA4) | 288,919 |
| C6.3(C22×A4) = A4×D12 | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 36 | 6+ | C6.3(C2^2xA4) | 288,920 |
| C6.4(C22×A4) = C2×Dic3.A4 | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 96 | | C6.4(C2^2xA4) | 288,921 |
| C6.5(C22×A4) = C2×S3×SL2(𝔽3) | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 48 | | C6.5(C2^2xA4) | 288,922 |
| C6.6(C22×A4) = SL2(𝔽3).11D6 | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 48 | 4 | C6.6(C2^2xA4) | 288,923 |
| C6.7(C22×A4) = Dic6.A4 | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 72 | 4+ | C6.7(C2^2xA4) | 288,924 |
| C6.8(C22×A4) = S3×C4.A4 | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 48 | 4 | C6.8(C2^2xA4) | 288,925 |
| C6.9(C22×A4) = D12.A4 | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 48 | 4- | C6.9(C2^2xA4) | 288,926 |
| C6.10(C22×A4) = C2×Dic3×A4 | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 72 | | C6.10(C2^2xA4) | 288,927 |
| C6.11(C22×A4) = A4×C3⋊D4 | φ: C22×A4/C2×A4 → C2 ⊆ Aut C6 | 36 | 6 | C6.11(C2^2xA4) | 288,928 |
| C6.12(C22×A4) = C2×C4×C3.A4 | central extension (φ=1) | 72 | | C6.12(C2^2xA4) | 288,343 |
| C6.13(C22×A4) = D4×C3.A4 | central extension (φ=1) | 36 | 6 | C6.13(C2^2xA4) | 288,344 |
| C6.14(C22×A4) = C22×Q8⋊C9 | central extension (φ=1) | 288 | | C6.14(C2^2xA4) | 288,345 |
| C6.15(C22×A4) = Q8×C3.A4 | central extension (φ=1) | 72 | 6 | C6.15(C2^2xA4) | 288,346 |
| C6.16(C22×A4) = C2×Q8.C18 | central extension (φ=1) | 144 | | C6.16(C2^2xA4) | 288,347 |
| C6.17(C22×A4) = 2+ 1+4⋊C9 | central extension (φ=1) | 72 | 4 | C6.17(C2^2xA4) | 288,348 |
| C6.18(C22×A4) = 2- 1+4⋊C9 | central extension (φ=1) | 144 | 4 | C6.18(C2^2xA4) | 288,349 |
| C6.19(C22×A4) = C23×C3.A4 | central extension (φ=1) | 72 | | C6.19(C2^2xA4) | 288,837 |
| C6.20(C22×A4) = A4×C2×C12 | central extension (φ=1) | 72 | | C6.20(C2^2xA4) | 288,979 |
| C6.21(C22×A4) = C3×D4×A4 | central extension (φ=1) | 36 | 6 | C6.21(C2^2xA4) | 288,980 |
| C6.22(C22×A4) = C2×C6×SL2(𝔽3) | central extension (φ=1) | 96 | | C6.22(C2^2xA4) | 288,981 |
| C6.23(C22×A4) = C3×Q8×A4 | central extension (φ=1) | 72 | 6 | C6.23(C2^2xA4) | 288,982 |
| C6.24(C22×A4) = C6×C4.A4 | central extension (φ=1) | 96 | | C6.24(C2^2xA4) | 288,983 |
| C6.25(C22×A4) = C3×Q8.A4 | central extension (φ=1) | 72 | 4 | C6.25(C2^2xA4) | 288,984 |
| C6.26(C22×A4) = C3×D4.A4 | central extension (φ=1) | 48 | 4 | C6.26(C2^2xA4) | 288,985 |