| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C6×A4) = C3×Dic3.A4 | φ: C6×A4/C3×A4 → C2 ⊆ Aut C6 | 48 | 4 | C6.1(C6xA4) | 432,622 |
| C6.2(C6×A4) = C3×S3×SL2(𝔽3) | φ: C6×A4/C3×A4 → C2 ⊆ Aut C6 | 48 | 4 | C6.2(C6xA4) | 432,623 |
| C6.3(C6×A4) = C3×Dic3×A4 | φ: C6×A4/C3×A4 → C2 ⊆ Aut C6 | 36 | 6 | C6.3(C6xA4) | 432,624 |
| C6.4(C6×A4) = A4×C36 | central extension (φ=1) | 108 | 3 | C6.4(C6xA4) | 432,325 |
| C6.5(C6×A4) = C4×C9⋊A4 | central extension (φ=1) | 108 | 3 | C6.5(C6xA4) | 432,326 |
| C6.6(C6×A4) = C18×SL2(𝔽3) | central extension (φ=1) | 144 | | C6.6(C6xA4) | 432,327 |
| C6.7(C6×A4) = C9×C4.A4 | central extension (φ=1) | 144 | 2 | C6.7(C6xA4) | 432,329 |
| C6.8(C6×A4) = C12×C3.A4 | central extension (φ=1) | 108 | | C6.8(C6xA4) | 432,331 |
| C6.9(C6×A4) = C4×C32.A4 | central extension (φ=1) | 36 | 3 | C6.9(C6xA4) | 432,332 |
| C6.10(C6×A4) = C4×C32⋊A4 | central extension (φ=1) | 36 | 3 | C6.10(C6xA4) | 432,333 |
| C6.11(C6×A4) = C6×Q8⋊C9 | central extension (φ=1) | 432 | | C6.11(C6xA4) | 432,334 |
| C6.12(C6×A4) = C3×Q8.C18 | central extension (φ=1) | 216 | | C6.12(C6xA4) | 432,337 |
| C6.13(C6×A4) = A4×C2×C18 | central extension (φ=1) | 108 | | C6.13(C6xA4) | 432,546 |
| C6.14(C6×A4) = C22×C9⋊A4 | central extension (φ=1) | 108 | | C6.14(C6xA4) | 432,547 |
| C6.15(C6×A4) = C2×C6×C3.A4 | central extension (φ=1) | 108 | | C6.15(C6xA4) | 432,548 |
| C6.16(C6×A4) = C22×C32.A4 | central extension (φ=1) | 36 | | C6.16(C6xA4) | 432,549 |
| C6.17(C6×A4) = C22×C32⋊A4 | central extension (φ=1) | 36 | | C6.17(C6xA4) | 432,550 |
| C6.18(C6×A4) = A4×C3×C12 | central extension (φ=1) | 108 | | C6.18(C6xA4) | 432,697 |
| C6.19(C6×A4) = C3×C6×SL2(𝔽3) | central extension (φ=1) | 144 | | C6.19(C6xA4) | 432,698 |
| C6.20(C6×A4) = C32×C4.A4 | central extension (φ=1) | 144 | | C6.20(C6xA4) | 432,699 |
| C6.21(C6×A4) = C2×C18.A4 | central stem extension (φ=1) | 144 | | C6.21(C6xA4) | 432,328 |
| C6.22(C6×A4) = C36.A4 | central stem extension (φ=1) | 144 | 6 | C6.22(C6xA4) | 432,330 |
| C6.23(C6×A4) = C2×Q8⋊3- 1+2 | central stem extension (φ=1) | 144 | | C6.23(C6xA4) | 432,335 |
| C6.24(C6×A4) = C2×Q8⋊He3 | central stem extension (φ=1) | 144 | | C6.24(C6xA4) | 432,336 |
| C6.25(C6×A4) = Q8⋊C9⋊4C6 | central stem extension (φ=1) | 72 | 6 | C6.25(C6xA4) | 432,338 |
| C6.26(C6×A4) = C4○D4⋊He3 | central stem extension (φ=1) | 72 | 6 | C6.26(C6xA4) | 432,339 |