Extensions 1→N→G→Q→1 with N=C4⋊Q8 and Q=D7

Direct product G=N×Q with N=C4⋊Q8 and Q=D7
dρLabelID
D7×C4⋊Q8224D7xC4:Q8448,1176

Semidirect products G=N:Q with N=C4⋊Q8 and Q=D7
extensionφ:Q→Out NdρLabelID
C4⋊Q81D7 = C285SD16φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:1D7448,617
C4⋊Q82D7 = D285Q8φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:2D7448,618
C4⋊Q83D7 = C286SD16φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:3D7448,619
C4⋊Q84D7 = C42.80D14φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:4D7448,620
C4⋊Q85D7 = D286Q8φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:5D7448,621
C4⋊Q86D7 = C28.D8φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:6D7448,622
C4⋊Q87D7 = C42.82D14φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:7D7448,623
C4⋊Q88D7 = D28.15D4φ: D7/C7C2 ⊆ Out C4⋊Q81124C4:Q8:8D7448,629
C4⋊Q89D7 = C42.171D14φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:9D7448,1177
C4⋊Q810D7 = D2812D4φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:10D7448,1179
C4⋊Q811D7 = D288Q8φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:11D7448,1180
C4⋊Q812D7 = C42.174D14φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:12D7448,1182
C4⋊Q813D7 = D289Q8φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:13D7448,1183
C4⋊Q814D7 = C42.176D14φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:14D7448,1184
C4⋊Q815D7 = C42.177D14φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:15D7448,1185
C4⋊Q816D7 = C42.178D14φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:16D7448,1186
C4⋊Q817D7 = C42.179D14φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:17D7448,1187
C4⋊Q818D7 = C42.180D14φ: D7/C7C2 ⊆ Out C4⋊Q8224C4:Q8:18D7448,1188
C4⋊Q819D7 = C42.240D14φ: trivial image224C4:Q8:19D7448,1178
C4⋊Q820D7 = C42.241D14φ: trivial image224C4:Q8:20D7448,1181

Non-split extensions G=N.Q with N=C4⋊Q8 and Q=D7
extensionφ:Q→Out NdρLabelID
C4⋊Q8.1D7 = C28.5Q16φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.1D7448,103
C4⋊Q8.2D7 = C28.10D8φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.2D7448,104
C4⋊Q8.3D7 = C42.3Dic7φ: D7/C7C2 ⊆ Out C4⋊Q81124C4:Q8.3D7448,105
C4⋊Q8.4D7 = C28.17D8φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.4D7448,612
C4⋊Q8.5D7 = C28.SD16φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.5D7448,613
C4⋊Q8.6D7 = C42.76D14φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.6D7448,614
C4⋊Q8.7D7 = C28.Q16φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.7D7448,615
C4⋊Q8.8D7 = C42.77D14φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.8D7448,616
C4⋊Q8.9D7 = C28⋊Q16φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.9D7448,624
C4⋊Q8.10D7 = Dic145Q8φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.10D7448,625
C4⋊Q8.11D7 = C283Q16φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.11D7448,626
C4⋊Q8.12D7 = C28.11Q16φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.12D7448,627
C4⋊Q8.13D7 = Dic146Q8φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.13D7448,628
C4⋊Q8.14D7 = Dic148Q8φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.14D7448,1174
C4⋊Q8.15D7 = Dic149Q8φ: D7/C7C2 ⊆ Out C4⋊Q8448C4:Q8.15D7448,1175

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