| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C6×Dic3) = C3×S3×C3⋊C8 | φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C6 | 48 | 4 | C6.1(C6xDic3) | 432,414 |
| C6.2(C6×Dic3) = C3×D6.Dic3 | φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C6 | 48 | 4 | C6.2(C6xDic3) | 432,416 |
| C6.3(C6×Dic3) = C3×Dic32 | φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C6 | 48 | | C6.3(C6xDic3) | 432,425 |
| C6.4(C6×Dic3) = C3×D6⋊Dic3 | φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C6 | 48 | | C6.4(C6xDic3) | 432,426 |
| C6.5(C6×Dic3) = C3×Dic3⋊Dic3 | φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C6 | 48 | | C6.5(C6xDic3) | 432,428 |
| C6.6(C6×Dic3) = C6×C9⋊C8 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.6(C6xDic3) | 432,124 |
| C6.7(C6×Dic3) = C3×C4.Dic9 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 72 | 2 | C6.7(C6xDic3) | 432,125 |
| C6.8(C6×Dic3) = C12×Dic9 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.8(C6xDic3) | 432,128 |
| C6.9(C6×Dic3) = C3×C4⋊Dic9 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.9(C6xDic3) | 432,130 |
| C6.10(C6×Dic3) = C2×He3⋊3C8 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.10(C6xDic3) | 432,136 |
| C6.11(C6×Dic3) = He3⋊7M4(2) | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 72 | 6 | C6.11(C6xDic3) | 432,137 |
| C6.12(C6×Dic3) = C4×C32⋊C12 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.12(C6xDic3) | 432,138 |
| C6.13(C6×Dic3) = C62.20D6 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.13(C6xDic3) | 432,140 |
| C6.14(C6×Dic3) = C2×C9⋊C24 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.14(C6xDic3) | 432,142 |
| C6.15(C6×Dic3) = C36.C12 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 72 | 6 | C6.15(C6xDic3) | 432,143 |
| C6.16(C6×Dic3) = C4×C9⋊C12 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.16(C6xDic3) | 432,144 |
| C6.17(C6×Dic3) = C36⋊C12 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.17(C6xDic3) | 432,146 |
| C6.18(C6×Dic3) = C3×C18.D4 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 72 | | C6.18(C6xDic3) | 432,164 |
| C6.19(C6×Dic3) = C62⋊3C12 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 72 | | C6.19(C6xDic3) | 432,166 |
| C6.20(C6×Dic3) = C62.27D6 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 72 | | C6.20(C6xDic3) | 432,167 |
| C6.21(C6×Dic3) = C2×C6×Dic9 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.21(C6xDic3) | 432,372 |
| C6.22(C6×Dic3) = C22×C32⋊C12 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.22(C6xDic3) | 432,376 |
| C6.23(C6×Dic3) = C22×C9⋊C12 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.23(C6xDic3) | 432,378 |
| C6.24(C6×Dic3) = C6×C32⋊4C8 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.24(C6xDic3) | 432,485 |
| C6.25(C6×Dic3) = C3×C12.58D6 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 72 | | C6.25(C6xDic3) | 432,486 |
| C6.26(C6×Dic3) = C12×C3⋊Dic3 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.26(C6xDic3) | 432,487 |
| C6.27(C6×Dic3) = C3×C12⋊Dic3 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 144 | | C6.27(C6xDic3) | 432,489 |
| C6.28(C6×Dic3) = C3×C62⋊5C4 | φ: C6×Dic3/C62 → C2 ⊆ Aut C6 | 72 | | C6.28(C6xDic3) | 432,495 |
| C6.29(C6×Dic3) = C18×C3⋊C8 | central extension (φ=1) | 144 | | C6.29(C6xDic3) | 432,126 |
| C6.30(C6×Dic3) = C9×C4.Dic3 | central extension (φ=1) | 72 | 2 | C6.30(C6xDic3) | 432,127 |
| C6.31(C6×Dic3) = Dic3×C36 | central extension (φ=1) | 144 | | C6.31(C6xDic3) | 432,131 |
| C6.32(C6×Dic3) = C9×C4⋊Dic3 | central extension (φ=1) | 144 | | C6.32(C6xDic3) | 432,133 |
| C6.33(C6×Dic3) = C9×C6.D4 | central extension (φ=1) | 72 | | C6.33(C6xDic3) | 432,165 |
| C6.34(C6×Dic3) = Dic3×C2×C18 | central extension (φ=1) | 144 | | C6.34(C6xDic3) | 432,373 |
| C6.35(C6×Dic3) = C3×C6×C3⋊C8 | central extension (φ=1) | 144 | | C6.35(C6xDic3) | 432,469 |
| C6.36(C6×Dic3) = C32×C4.Dic3 | central extension (φ=1) | 72 | | C6.36(C6xDic3) | 432,470 |
| C6.37(C6×Dic3) = Dic3×C3×C12 | central extension (φ=1) | 144 | | C6.37(C6xDic3) | 432,471 |
| C6.38(C6×Dic3) = C32×C4⋊Dic3 | central extension (φ=1) | 144 | | C6.38(C6xDic3) | 432,473 |
| C6.39(C6×Dic3) = C32×C6.D4 | central extension (φ=1) | 72 | | C6.39(C6xDic3) | 432,479 |