| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C22×D5) = D5×D8 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 40 | 4+ | C4.1(C2^2xD5) | 160,131 |
| C4.2(C22×D5) = D8⋊D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 40 | 4 | C4.2(C2^2xD5) | 160,132 |
| C4.3(C22×D5) = D8⋊3D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | 4- | C4.3(C2^2xD5) | 160,133 |
| C4.4(C22×D5) = D5×SD16 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 40 | 4 | C4.4(C2^2xD5) | 160,134 |
| C4.5(C22×D5) = D40⋊C2 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 40 | 4+ | C4.5(C2^2xD5) | 160,135 |
| C4.6(C22×D5) = SD16⋊D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | 4- | C4.6(C2^2xD5) | 160,136 |
| C4.7(C22×D5) = SD16⋊3D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | 4 | C4.7(C2^2xD5) | 160,137 |
| C4.8(C22×D5) = D5×Q16 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | 4- | C4.8(C2^2xD5) | 160,138 |
| C4.9(C22×D5) = Q16⋊D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | 4 | C4.9(C2^2xD5) | 160,139 |
| C4.10(C22×D5) = Q8.D10 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | 4+ | C4.10(C2^2xD5) | 160,140 |
| C4.11(C22×D5) = C2×D4⋊D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | | C4.11(C2^2xD5) | 160,152 |
| C4.12(C22×D5) = D4.D10 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 40 | 4 | C4.12(C2^2xD5) | 160,153 |
| C4.13(C22×D5) = C2×D4.D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | | C4.13(C2^2xD5) | 160,154 |
| C4.14(C22×D5) = C2×Q8⋊D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | | C4.14(C2^2xD5) | 160,162 |
| C4.15(C22×D5) = C20.C23 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | 4 | C4.15(C2^2xD5) | 160,163 |
| C4.16(C22×D5) = C2×C5⋊Q16 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 160 | | C4.16(C2^2xD5) | 160,164 |
| C4.17(C22×D5) = D4⋊D10 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 40 | 4+ | C4.17(C2^2xD5) | 160,170 |
| C4.18(C22×D5) = D4.8D10 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | 4 | C4.18(C2^2xD5) | 160,171 |
| C4.19(C22×D5) = D4.9D10 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | 4- | C4.19(C2^2xD5) | 160,172 |
| C4.20(C22×D5) = C2×D4⋊2D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | | C4.20(C2^2xD5) | 160,218 |
| C4.21(C22×D5) = D4⋊6D10 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 40 | 4 | C4.21(C2^2xD5) | 160,219 |
| C4.22(C22×D5) = C2×Q8×D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | | C4.22(C2^2xD5) | 160,220 |
| C4.23(C22×D5) = C2×Q8⋊2D5 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | | C4.23(C2^2xD5) | 160,221 |
| C4.24(C22×D5) = Q8.10D10 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 80 | 4 | C4.24(C2^2xD5) | 160,222 |
| C4.25(C22×D5) = D5×C4○D4 | φ: C22×D5/D10 → C2 ⊆ Aut C4 | 40 | 4 | C4.25(C2^2xD5) | 160,223 |
| C4.26(C22×D5) = C2×C40⋊C2 | φ: C22×D5/C2×C10 → C2 ⊆ Aut C4 | 80 | | C4.26(C2^2xD5) | 160,123 |
| C4.27(C22×D5) = C2×D40 | φ: C22×D5/C2×C10 → C2 ⊆ Aut C4 | 80 | | C4.27(C2^2xD5) | 160,124 |
| C4.28(C22×D5) = D40⋊7C2 | φ: C22×D5/C2×C10 → C2 ⊆ Aut C4 | 80 | 2 | C4.28(C2^2xD5) | 160,125 |
| C4.29(C22×D5) = C2×Dic20 | φ: C22×D5/C2×C10 → C2 ⊆ Aut C4 | 160 | | C4.29(C2^2xD5) | 160,126 |
| C4.30(C22×D5) = C8⋊D10 | φ: C22×D5/C2×C10 → C2 ⊆ Aut C4 | 40 | 4+ | C4.30(C2^2xD5) | 160,129 |
| C4.31(C22×D5) = C8.D10 | φ: C22×D5/C2×C10 → C2 ⊆ Aut C4 | 80 | 4- | C4.31(C2^2xD5) | 160,130 |
| C4.32(C22×D5) = C22×Dic10 | φ: C22×D5/C2×C10 → C2 ⊆ Aut C4 | 160 | | C4.32(C2^2xD5) | 160,213 |
| C4.33(C22×D5) = D4⋊8D10 | φ: C22×D5/C2×C10 → C2 ⊆ Aut C4 | 40 | 4+ | C4.33(C2^2xD5) | 160,224 |
| C4.34(C22×D5) = D4.10D10 | φ: C22×D5/C2×C10 → C2 ⊆ Aut C4 | 80 | 4- | C4.34(C2^2xD5) | 160,225 |
| C4.35(C22×D5) = D5×C2×C8 | central extension (φ=1) | 80 | | C4.35(C2^2xD5) | 160,120 |
| C4.36(C22×D5) = C2×C8⋊D5 | central extension (φ=1) | 80 | | C4.36(C2^2xD5) | 160,121 |
| C4.37(C22×D5) = D20.3C4 | central extension (φ=1) | 80 | 2 | C4.37(C2^2xD5) | 160,122 |
| C4.38(C22×D5) = D5×M4(2) | central extension (φ=1) | 40 | 4 | C4.38(C2^2xD5) | 160,127 |
| C4.39(C22×D5) = D20.2C4 | central extension (φ=1) | 80 | 4 | C4.39(C2^2xD5) | 160,128 |
| C4.40(C22×D5) = C22×C5⋊2C8 | central extension (φ=1) | 160 | | C4.40(C2^2xD5) | 160,141 |
| C4.41(C22×D5) = C2×C4.Dic5 | central extension (φ=1) | 80 | | C4.41(C2^2xD5) | 160,142 |
| C4.42(C22×D5) = D4.Dic5 | central extension (φ=1) | 80 | 4 | C4.42(C2^2xD5) | 160,169 |
| C4.43(C22×D5) = C2×C4○D20 | central extension (φ=1) | 80 | | C4.43(C2^2xD5) | 160,216 |