| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|
| C2.1(C2×C7⋊D4) = C2×Dic7⋊C4 | central extension (φ=1) | 224 |  | C2.1(C2xC7:D4) | 224,118 | 
| C2.2(C2×C7⋊D4) = C2×D14⋊C4 | central extension (φ=1) | 112 |  | C2.2(C2xC7:D4) | 224,122 | 
| C2.3(C2×C7⋊D4) = C4×C7⋊D4 | central extension (φ=1) | 112 |  | C2.3(C2xC7:D4) | 224,123 | 
| C2.4(C2×C7⋊D4) = C2×C23.D7 | central extension (φ=1) | 112 |  | C2.4(C2xC7:D4) | 224,147 | 
| C2.5(C2×C7⋊D4) = C28.48D4 | central stem extension (φ=1) | 112 |  | C2.5(C2xC7:D4) | 224,119 | 
| C2.6(C2×C7⋊D4) = C23.23D14 | central stem extension (φ=1) | 112 |  | C2.6(C2xC7:D4) | 224,124 | 
| C2.7(C2×C7⋊D4) = C28⋊7D4 | central stem extension (φ=1) | 112 |  | C2.7(C2xC7:D4) | 224,125 | 
| C2.8(C2×C7⋊D4) = C2×D4⋊D7 | central stem extension (φ=1) | 112 |  | C2.8(C2xC7:D4) | 224,126 | 
| C2.9(C2×C7⋊D4) = D4.D14 | central stem extension (φ=1) | 56 | 4 | C2.9(C2xC7:D4) | 224,127 | 
| C2.10(C2×C7⋊D4) = C2×D4.D7 | central stem extension (φ=1) | 112 |  | C2.10(C2xC7:D4) | 224,128 | 
| C2.11(C2×C7⋊D4) = C23.18D14 | central stem extension (φ=1) | 112 |  | C2.11(C2xC7:D4) | 224,130 | 
| C2.12(C2×C7⋊D4) = C28.17D4 | central stem extension (φ=1) | 112 |  | C2.12(C2xC7:D4) | 224,131 | 
| C2.13(C2×C7⋊D4) = C23⋊D14 | central stem extension (φ=1) | 56 |  | C2.13(C2xC7:D4) | 224,132 | 
| C2.14(C2×C7⋊D4) = C28⋊2D4 | central stem extension (φ=1) | 112 |  | C2.14(C2xC7:D4) | 224,133 | 
| C2.15(C2×C7⋊D4) = Dic7⋊D4 | central stem extension (φ=1) | 112 |  | C2.15(C2xC7:D4) | 224,134 | 
| C2.16(C2×C7⋊D4) = C28⋊D4 | central stem extension (φ=1) | 112 |  | C2.16(C2xC7:D4) | 224,135 | 
| C2.17(C2×C7⋊D4) = C2×Q8⋊D7 | central stem extension (φ=1) | 112 |  | C2.17(C2xC7:D4) | 224,136 | 
| C2.18(C2×C7⋊D4) = C28.C23 | central stem extension (φ=1) | 112 | 4 | C2.18(C2xC7:D4) | 224,137 | 
| C2.19(C2×C7⋊D4) = C2×C7⋊Q16 | central stem extension (φ=1) | 224 |  | C2.19(C2xC7:D4) | 224,138 | 
| C2.20(C2×C7⋊D4) = Dic7⋊Q8 | central stem extension (φ=1) | 224 |  | C2.20(C2xC7:D4) | 224,139 | 
| C2.21(C2×C7⋊D4) = D14⋊3Q8 | central stem extension (φ=1) | 112 |  | C2.21(C2xC7:D4) | 224,141 | 
| C2.22(C2×C7⋊D4) = C28.23D4 | central stem extension (φ=1) | 112 |  | C2.22(C2xC7:D4) | 224,142 | 
| C2.23(C2×C7⋊D4) = D4⋊D14 | central stem extension (φ=1) | 56 | 4+ | C2.23(C2xC7:D4) | 224,144 | 
| C2.24(C2×C7⋊D4) = D4.8D14 | central stem extension (φ=1) | 112 | 4 | C2.24(C2xC7:D4) | 224,145 | 
| C2.25(C2×C7⋊D4) = D4.9D14 | central stem extension (φ=1) | 112 | 4- | C2.25(C2xC7:D4) | 224,146 | 
| C2.26(C2×C7⋊D4) = C24⋊D7 | central stem extension (φ=1) | 56 |  | C2.26(C2xC7:D4) | 224,148 |