| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C2×Dic10) = Dic3⋊5Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 480 | | C6.1(C2xDic10) | 480,400 |
| C6.2(C2×Dic10) = Dic15⋊1Q8 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 480 | | C6.2(C2xDic10) | 480,403 |
| C6.3(C2×Dic10) = Dic3⋊Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 480 | | C6.3(C2xDic10) | 480,404 |
| C6.4(C2×Dic10) = Dic3×Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 480 | | C6.4(C2xDic10) | 480,406 |
| C6.5(C2×Dic10) = Dic30⋊14C4 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 480 | | C6.5(C2xDic10) | 480,416 |
| C6.6(C2×Dic10) = Dic3.Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 480 | | C6.6(C2xDic10) | 480,419 |
| C6.7(C2×Dic10) = Dic3.2Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 480 | | C6.7(C2xDic10) | 480,422 |
| C6.8(C2×Dic10) = D6⋊Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 240 | | C6.8(C2xDic10) | 480,428 |
| C6.9(C2×Dic10) = C60.45D4 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 240 | | C6.9(C2xDic10) | 480,441 |
| C6.10(C2×Dic10) = C60.46D4 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 240 | | C6.10(C2xDic10) | 480,445 |
| C6.11(C2×Dic10) = Dic3.3Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 480 | | C6.11(C2xDic10) | 480,455 |
| C6.12(C2×Dic10) = C60.48D4 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 480 | | C6.12(C2xDic10) | 480,465 |
| C6.13(C2×Dic10) = S3×C10.D4 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 240 | | C6.13(C2xDic10) | 480,475 |
| C6.14(C2×Dic10) = D6⋊1Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 240 | | C6.14(C2xDic10) | 480,486 |
| C6.15(C2×Dic10) = D6⋊2Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 240 | | C6.15(C2xDic10) | 480,493 |
| C6.16(C2×Dic10) = S3×C4⋊Dic5 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 240 | | C6.16(C2xDic10) | 480,502 |
| C6.17(C2×Dic10) = D6⋊3Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 240 | | C6.17(C2xDic10) | 480,508 |
| C6.18(C2×Dic10) = D6⋊4Dic10 | φ: C2×Dic10/Dic10 → C2 ⊆ Aut C6 | 240 | | C6.18(C2xDic10) | 480,512 |
| C6.19(C2×Dic10) = C60.6Q8 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 480 | | C6.19(C2xDic10) | 480,457 |
| C6.20(C2×Dic10) = C12.Dic10 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 480 | | C6.20(C2xDic10) | 480,460 |
| C6.21(C2×Dic10) = C20.Dic6 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 480 | | C6.21(C2xDic10) | 480,464 |
| C6.22(C2×Dic10) = C4×C15⋊Q8 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 480 | | C6.22(C2xDic10) | 480,543 |
| C6.23(C2×Dic10) = C60⋊Q8 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 480 | | C6.23(C2xDic10) | 480,544 |
| C6.24(C2×Dic10) = C20⋊4Dic6 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 480 | | C6.24(C2xDic10) | 480,545 |
| C6.25(C2×Dic10) = C20⋊Dic6 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 480 | | C6.25(C2xDic10) | 480,546 |
| C6.26(C2×Dic10) = C2×C30.Q8 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 480 | | C6.26(C2xDic10) | 480,617 |
| C6.27(C2×Dic10) = C2×Dic15⋊5C4 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 480 | | C6.27(C2xDic10) | 480,620 |
| C6.28(C2×Dic10) = C2×C6.Dic10 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 480 | | C6.28(C2xDic10) | 480,621 |
| C6.29(C2×Dic10) = (C2×C30)⋊Q8 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 240 | | C6.29(C2xDic10) | 480,650 |
| C6.30(C2×Dic10) = (C2×C10)⋊8Dic6 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 240 | | C6.30(C2xDic10) | 480,651 |
| C6.31(C2×Dic10) = Dic15.48D4 | φ: C2×Dic10/C2×Dic5 → C2 ⊆ Aut C6 | 240 | | C6.31(C2xDic10) | 480,652 |
| C6.32(C2×Dic10) = C4×Dic30 | φ: C2×Dic10/C2×C20 → C2 ⊆ Aut C6 | 480 | | C6.32(C2xDic10) | 480,833 |
| C6.33(C2×Dic10) = C60⋊8Q8 | φ: C2×Dic10/C2×C20 → C2 ⊆ Aut C6 | 480 | | C6.33(C2xDic10) | 480,834 |
| C6.34(C2×Dic10) = C60.24Q8 | φ: C2×Dic10/C2×C20 → C2 ⊆ Aut C6 | 480 | | C6.34(C2xDic10) | 480,835 |
| C6.35(C2×Dic10) = C22⋊2Dic30 | φ: C2×Dic10/C2×C20 → C2 ⊆ Aut C6 | 240 | | C6.35(C2xDic10) | 480,843 |
| C6.36(C2×Dic10) = C4⋊Dic30 | φ: C2×Dic10/C2×C20 → C2 ⊆ Aut C6 | 480 | | C6.36(C2xDic10) | 480,853 |
| C6.37(C2×Dic10) = C4.Dic30 | φ: C2×Dic10/C2×C20 → C2 ⊆ Aut C6 | 480 | | C6.37(C2xDic10) | 480,855 |
| C6.38(C2×Dic10) = C2×C30.4Q8 | φ: C2×Dic10/C2×C20 → C2 ⊆ Aut C6 | 480 | | C6.38(C2xDic10) | 480,888 |
| C6.39(C2×Dic10) = C60.205D4 | φ: C2×Dic10/C2×C20 → C2 ⊆ Aut C6 | 240 | | C6.39(C2xDic10) | 480,889 |
| C6.40(C2×Dic10) = C2×C60⋊5C4 | φ: C2×Dic10/C2×C20 → C2 ⊆ Aut C6 | 480 | | C6.40(C2xDic10) | 480,890 |
| C6.41(C2×Dic10) = C12×Dic10 | central extension (φ=1) | 480 | | C6.41(C2xDic10) | 480,661 |
| C6.42(C2×Dic10) = C3×C20⋊2Q8 | central extension (φ=1) | 480 | | C6.42(C2xDic10) | 480,662 |
| C6.43(C2×Dic10) = C3×C20.6Q8 | central extension (φ=1) | 480 | | C6.43(C2xDic10) | 480,663 |
| C6.44(C2×Dic10) = C3×Dic5.14D4 | central extension (φ=1) | 240 | | C6.44(C2xDic10) | 480,671 |
| C6.45(C2×Dic10) = C3×C20⋊Q8 | central extension (φ=1) | 480 | | C6.45(C2xDic10) | 480,681 |
| C6.46(C2×Dic10) = C3×C4.Dic10 | central extension (φ=1) | 480 | | C6.46(C2xDic10) | 480,683 |
| C6.47(C2×Dic10) = C6×C10.D4 | central extension (φ=1) | 480 | | C6.47(C2xDic10) | 480,716 |
| C6.48(C2×Dic10) = C3×C20.48D4 | central extension (φ=1) | 240 | | C6.48(C2xDic10) | 480,717 |
| C6.49(C2×Dic10) = C6×C4⋊Dic5 | central extension (φ=1) | 480 | | C6.49(C2xDic10) | 480,718 |