| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C10.1(C22×S3) = D5×Dic6 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4- | C10.1(C2^2xS3) | 240,125 |
| C10.2(C22×S3) = D20⋊5S3 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4- | C10.2(C2^2xS3) | 240,126 |
| C10.3(C22×S3) = D20⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4 | C10.3(C2^2xS3) | 240,127 |
| C10.4(C22×S3) = S3×Dic10 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4- | C10.4(C2^2xS3) | 240,128 |
| C10.5(C22×S3) = D12⋊D5 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4 | C10.5(C2^2xS3) | 240,129 |
| C10.6(C22×S3) = D60⋊C2 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4+ | C10.6(C2^2xS3) | 240,130 |
| C10.7(C22×S3) = D15⋊Q8 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4 | C10.7(C2^2xS3) | 240,131 |
| C10.8(C22×S3) = D6.D10 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4 | C10.8(C2^2xS3) | 240,132 |
| C10.9(C22×S3) = D12⋊5D5 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4- | C10.9(C2^2xS3) | 240,133 |
| C10.10(C22×S3) = C12.28D10 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4+ | C10.10(C2^2xS3) | 240,134 |
| C10.11(C22×S3) = C4×S3×D5 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 60 | 4 | C10.11(C2^2xS3) | 240,135 |
| C10.12(C22×S3) = D5×D12 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 60 | 4+ | C10.12(C2^2xS3) | 240,136 |
| C10.13(C22×S3) = S3×D20 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 60 | 4+ | C10.13(C2^2xS3) | 240,137 |
| C10.14(C22×S3) = C20⋊D6 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 60 | 4 | C10.14(C2^2xS3) | 240,138 |
| C10.15(C22×S3) = C2×D5×Dic3 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | | C10.15(C2^2xS3) | 240,139 |
| C10.16(C22×S3) = Dic5.D6 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4 | C10.16(C2^2xS3) | 240,140 |
| C10.17(C22×S3) = C30.C23 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4- | C10.17(C2^2xS3) | 240,141 |
| C10.18(C22×S3) = C2×S3×Dic5 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | | C10.18(C2^2xS3) | 240,142 |
| C10.19(C22×S3) = Dic3.D10 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | 4 | C10.19(C2^2xS3) | 240,143 |
| C10.20(C22×S3) = C2×D30.C2 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | | C10.20(C2^2xS3) | 240,144 |
| C10.21(C22×S3) = C2×C15⋊D4 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | | C10.21(C2^2xS3) | 240,145 |
| C10.22(C22×S3) = C2×C3⋊D20 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | | C10.22(C2^2xS3) | 240,146 |
| C10.23(C22×S3) = C2×C5⋊D12 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 120 | | C10.23(C2^2xS3) | 240,147 |
| C10.24(C22×S3) = C2×C15⋊Q8 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 240 | | C10.24(C2^2xS3) | 240,148 |
| C10.25(C22×S3) = D5×C3⋊D4 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 60 | 4 | C10.25(C2^2xS3) | 240,149 |
| C10.26(C22×S3) = S3×C5⋊D4 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 60 | 4 | C10.26(C2^2xS3) | 240,150 |
| C10.27(C22×S3) = D10⋊D6 | φ: C22×S3/D6 → C2 ⊆ Aut C10 | 60 | 4+ | C10.27(C2^2xS3) | 240,151 |
| C10.28(C22×S3) = C2×Dic30 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C10 | 240 | | C10.28(C2^2xS3) | 240,175 |
| C10.29(C22×S3) = C2×C4×D15 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C10 | 120 | | C10.29(C2^2xS3) | 240,176 |
| C10.30(C22×S3) = C2×D60 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C10 | 120 | | C10.30(C2^2xS3) | 240,177 |
| C10.31(C22×S3) = D60⋊11C2 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C10 | 120 | 2 | C10.31(C2^2xS3) | 240,178 |
| C10.32(C22×S3) = D4×D15 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C10 | 60 | 4+ | C10.32(C2^2xS3) | 240,179 |
| C10.33(C22×S3) = D4⋊2D15 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C10 | 120 | 4- | C10.33(C2^2xS3) | 240,180 |
| C10.34(C22×S3) = Q8×D15 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C10 | 120 | 4- | C10.34(C2^2xS3) | 240,181 |
| C10.35(C22×S3) = Q8⋊3D15 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C10 | 120 | 4+ | C10.35(C2^2xS3) | 240,182 |
| C10.36(C22×S3) = C22×Dic15 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C10 | 240 | | C10.36(C2^2xS3) | 240,183 |
| C10.37(C22×S3) = C2×C15⋊7D4 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C10 | 120 | | C10.37(C2^2xS3) | 240,184 |
| C10.38(C22×S3) = C10×Dic6 | central extension (φ=1) | 240 | | C10.38(C2^2xS3) | 240,165 |
| C10.39(C22×S3) = S3×C2×C20 | central extension (φ=1) | 120 | | C10.39(C2^2xS3) | 240,166 |
| C10.40(C22×S3) = C10×D12 | central extension (φ=1) | 120 | | C10.40(C2^2xS3) | 240,167 |
| C10.41(C22×S3) = C5×C4○D12 | central extension (φ=1) | 120 | 2 | C10.41(C2^2xS3) | 240,168 |
| C10.42(C22×S3) = C5×S3×D4 | central extension (φ=1) | 60 | 4 | C10.42(C2^2xS3) | 240,169 |
| C10.43(C22×S3) = C5×D4⋊2S3 | central extension (φ=1) | 120 | 4 | C10.43(C2^2xS3) | 240,170 |
| C10.44(C22×S3) = C5×S3×Q8 | central extension (φ=1) | 120 | 4 | C10.44(C2^2xS3) | 240,171 |
| C10.45(C22×S3) = C5×Q8⋊3S3 | central extension (φ=1) | 120 | 4 | C10.45(C2^2xS3) | 240,172 |
| C10.46(C22×S3) = Dic3×C2×C10 | central extension (φ=1) | 240 | | C10.46(C2^2xS3) | 240,173 |
| C10.47(C22×S3) = C10×C3⋊D4 | central extension (φ=1) | 120 | | C10.47(C2^2xS3) | 240,174 |