| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C22×C4) = C4×C4○D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.1(C2^2xC4) | 64,198 |
| C22.2(C22×C4) = C22.11C24 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C22 | 16 | | C2^2.2(C2^2xC4) | 64,199 |
| C22.3(C22×C4) = C23.33C23 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.3(C2^2xC4) | 64,201 |
| C22.4(C22×C4) = C2×C8○D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.4(C2^2xC4) | 64,248 |
| C22.5(C22×C4) = Q8○M4(2) | φ: C22×C4/C2×C4 → C2 ⊆ Aut C22 | 16 | 4 | C2^2.5(C2^2xC4) | 64,249 |
| C22.6(C22×C4) = C2×C23⋊C4 | φ: C22×C4/C23 → C2 ⊆ Aut C22 | 16 | | C2^2.6(C2^2xC4) | 64,90 |
| C22.7(C22×C4) = C23.C23 | φ: C22×C4/C23 → C2 ⊆ Aut C22 | 16 | 4 | C2^2.7(C2^2xC4) | 64,91 |
| C22.8(C22×C4) = C2×C4.D4 | φ: C22×C4/C23 → C2 ⊆ Aut C22 | 16 | | C2^2.8(C2^2xC4) | 64,92 |
| C22.9(C22×C4) = C2×C4.10D4 | φ: C22×C4/C23 → C2 ⊆ Aut C22 | 32 | | C2^2.9(C2^2xC4) | 64,93 |
| C22.10(C22×C4) = M4(2).8C22 | φ: C22×C4/C23 → C2 ⊆ Aut C22 | 16 | 4 | C2^2.10(C2^2xC4) | 64,94 |
| C22.11(C22×C4) = C2×C42⋊C2 | φ: C22×C4/C23 → C2 ⊆ Aut C22 | 32 | | C2^2.11(C2^2xC4) | 64,195 |
| C22.12(C22×C4) = C23.32C23 | φ: C22×C4/C23 → C2 ⊆ Aut C22 | 32 | | C2^2.12(C2^2xC4) | 64,200 |
| C22.13(C22×C4) = C2×C2.C42 | central extension (φ=1) | 64 | | C2^2.13(C2^2xC4) | 64,56 |
| C22.14(C22×C4) = C42⋊4C4 | central extension (φ=1) | 64 | | C2^2.14(C2^2xC4) | 64,57 |
| C22.15(C22×C4) = C4×C22⋊C4 | central extension (φ=1) | 32 | | C2^2.15(C2^2xC4) | 64,58 |
| C22.16(C22×C4) = C4×C4⋊C4 | central extension (φ=1) | 64 | | C2^2.16(C2^2xC4) | 64,59 |
| C22.17(C22×C4) = C2×C8⋊C4 | central extension (φ=1) | 64 | | C2^2.17(C2^2xC4) | 64,84 |
| C22.18(C22×C4) = C4×M4(2) | central extension (φ=1) | 32 | | C2^2.18(C2^2xC4) | 64,85 |
| C22.19(C22×C4) = C8○2M4(2) | central extension (φ=1) | 32 | | C2^2.19(C2^2xC4) | 64,86 |
| C22.20(C22×C4) = C2×C22⋊C8 | central extension (φ=1) | 32 | | C2^2.20(C2^2xC4) | 64,87 |
| C22.21(C22×C4) = C2×C4⋊C8 | central extension (φ=1) | 64 | | C2^2.21(C2^2xC4) | 64,103 |
| C22.22(C22×C4) = C42.12C4 | central extension (φ=1) | 32 | | C2^2.22(C2^2xC4) | 64,112 |
| C22.23(C22×C4) = C8×D4 | central extension (φ=1) | 32 | | C2^2.23(C2^2xC4) | 64,115 |
| C22.24(C22×C4) = C8×Q8 | central extension (φ=1) | 64 | | C2^2.24(C2^2xC4) | 64,126 |
| C22.25(C22×C4) = C22×C4⋊C4 | central extension (φ=1) | 64 | | C2^2.25(C2^2xC4) | 64,194 |
| C22.26(C22×C4) = C2×C4×Q8 | central extension (φ=1) | 64 | | C2^2.26(C2^2xC4) | 64,197 |
| C22.27(C22×C4) = C22×M4(2) | central extension (φ=1) | 32 | | C2^2.27(C2^2xC4) | 64,247 |
| C22.28(C22×C4) = C24⋊3C4 | central stem extension (φ=1) | 16 | | C2^2.28(C2^2xC4) | 64,60 |
| C22.29(C22×C4) = C23.7Q8 | central stem extension (φ=1) | 32 | | C2^2.29(C2^2xC4) | 64,61 |
| C22.30(C22×C4) = C23.34D4 | central stem extension (φ=1) | 32 | | C2^2.30(C2^2xC4) | 64,62 |
| C22.31(C22×C4) = C42⋊8C4 | central stem extension (φ=1) | 64 | | C2^2.31(C2^2xC4) | 64,63 |
| C22.32(C22×C4) = C42⋊5C4 | central stem extension (φ=1) | 64 | | C2^2.32(C2^2xC4) | 64,64 |
| C22.33(C22×C4) = C42⋊9C4 | central stem extension (φ=1) | 64 | | C2^2.33(C2^2xC4) | 64,65 |
| C22.34(C22×C4) = C23.8Q8 | central stem extension (φ=1) | 32 | | C2^2.34(C2^2xC4) | 64,66 |
| C22.35(C22×C4) = C23.23D4 | central stem extension (φ=1) | 32 | | C2^2.35(C2^2xC4) | 64,67 |
| C22.36(C22×C4) = C23.63C23 | central stem extension (φ=1) | 64 | | C2^2.36(C2^2xC4) | 64,68 |
| C22.37(C22×C4) = C24.C22 | central stem extension (φ=1) | 32 | | C2^2.37(C2^2xC4) | 64,69 |
| C22.38(C22×C4) = C23.65C23 | central stem extension (φ=1) | 64 | | C2^2.38(C2^2xC4) | 64,70 |
| C22.39(C22×C4) = C24.3C22 | central stem extension (φ=1) | 32 | | C2^2.39(C2^2xC4) | 64,71 |
| C22.40(C22×C4) = C23.67C23 | central stem extension (φ=1) | 64 | | C2^2.40(C2^2xC4) | 64,72 |
| C22.41(C22×C4) = C24.4C4 | central stem extension (φ=1) | 16 | | C2^2.41(C2^2xC4) | 64,88 |
| C22.42(C22×C4) = (C22×C8)⋊C2 | central stem extension (φ=1) | 32 | | C2^2.42(C2^2xC4) | 64,89 |
| C22.43(C22×C4) = C4⋊M4(2) | central stem extension (φ=1) | 32 | | C2^2.43(C2^2xC4) | 64,104 |
| C22.44(C22×C4) = C42.6C22 | central stem extension (φ=1) | 32 | | C2^2.44(C2^2xC4) | 64,105 |
| C22.45(C22×C4) = C42.6C4 | central stem extension (φ=1) | 32 | | C2^2.45(C2^2xC4) | 64,113 |
| C22.46(C22×C4) = C42.7C22 | central stem extension (φ=1) | 32 | | C2^2.46(C2^2xC4) | 64,114 |
| C22.47(C22×C4) = C8⋊9D4 | central stem extension (φ=1) | 32 | | C2^2.47(C2^2xC4) | 64,116 |
| C22.48(C22×C4) = C8⋊6D4 | central stem extension (φ=1) | 32 | | C2^2.48(C2^2xC4) | 64,117 |
| C22.49(C22×C4) = C8⋊4Q8 | central stem extension (φ=1) | 64 | | C2^2.49(C2^2xC4) | 64,127 |