# Extensions 1→N→G→Q→1 with N=C2.C42 and Q=D7

Direct product G=N×Q with N=C2.C42 and Q=D7
dρLabelID
D7×C2.C42224D7xC2.C4^2448,197

Semidirect products G=N:Q with N=C2.C42 and Q=D7
extensionφ:Q→Out NdρLabelID
C2.C421D7 = C22.58(D4×D7)φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:1D7448,198
C2.C422D7 = D14⋊(C4⋊C4)φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:2D7448,201
C2.C423D7 = D14⋊C45C4φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:3D7448,203
C2.C424D7 = (C22×D7).9D4φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:4D7448,209
C2.C425D7 = (C22×D7).Q8φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:5D7448,210
C2.C426D7 = C14.C4≀C2φ: D7/C7C2 ⊆ Out C2.C42112C2.C4^2:6D7448,8
C2.C427D7 = (C2×C4)⋊9D28φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:7D7448,199
C2.C428D7 = D14⋊C4⋊C4φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:8D7448,202
C2.C429D7 = C2.(C4×D28)φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:9D7448,204
C2.C4210D7 = (C2×C28)⋊5D4φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:10D7448,205
C2.C4211D7 = (C2×Dic7)⋊3D4φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:11D7448,206
C2.C4212D7 = (C2×C4).20D28φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:12D7448,207
C2.C4213D7 = (C2×C4).21D28φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:13D7448,208
C2.C4214D7 = (C2×C28).33D4φ: D7/C7C2 ⊆ Out C2.C42224C2.C4^2:14D7448,211
C2.C4215D7 = D14⋊C42φ: trivial image224C2.C4^2:15D7448,200

Non-split extensions G=N.Q with N=C2.C42 and Q=D7
extensionφ:Q→Out NdρLabelID
C2.C42.1D7 = C7⋊(C428C4)φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.1D7448,184
C2.C42.2D7 = C7⋊(C425C4)φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.2D7448,185
C2.C42.3D7 = Dic7⋊C4⋊C4φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.3D7448,186
C2.C42.4D7 = (C2×Dic7).Q8φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.4D7448,192
C2.C42.5D7 = (C22×C4).D14φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.5D7448,196
C2.C42.6D7 = C4⋊Dic7⋊C4φ: D7/C7C2 ⊆ Out C2.C42112C2.C4^2.6D7448,9
C2.C42.7D7 = (C2×C28)⋊Q8φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.7D7448,180
C2.C42.8D7 = C14.(C4×Q8)φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.8D7448,181
C2.C42.9D7 = C4⋊Dic77C4φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.9D7448,187
C2.C42.10D7 = C4⋊Dic78C4φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.10D7448,188
C2.C42.11D7 = C14.(C4×D4)φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.11D7448,189
C2.C42.12D7 = (C2×Dic7)⋊Q8φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.12D7448,190
C2.C42.13D7 = C2.(C28⋊Q8)φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.13D7448,191
C2.C42.14D7 = (C2×C28).28D4φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.14D7448,193
C2.C42.15D7 = (C2×C4).Dic14φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.15D7448,194
C2.C42.16D7 = C14.(C4⋊Q8)φ: D7/C7C2 ⊆ Out C2.C42448C2.C4^2.16D7448,195
C2.C42.17D7 = Dic7.5C42φ: trivial image448C2.C4^2.17D7448,182
C2.C42.18D7 = Dic7⋊C42φ: trivial image448C2.C4^2.18D7448,183

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