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Extensions 1→N→G→Q→1 with N=C4:D4 and Q=D7

Direct product G=NxQ with N=C4:D4 and Q=D7
dρLabelID
D7xC4:D4112D7xC4:D4448,1057

Semidirect products G=N:Q with N=C4:D4 and Q=D7
extensionφ:Q→Out NdρLabelID
C4:D4:1D7 = D28:16D4φ: D7/C7 → C2 ⊆ Out C4:D4112C4:D4:1D7448,570
C4:D4:2D7 = D28:17D4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:2D7448,571
C4:D4:3D7 = C7:C8:22D4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:3D7448,572
C4:D4:4D7 = C4:D4:D7φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:4D7448,573
C4:D4:5D7 = C14.682- 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:5D7448,1050
C4:D4:6D7 = Dic14:19D4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:6D7448,1051
C4:D4:7D7 = Dic14:20D4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:7D7448,1052
C4:D4:8D7 = C14.342+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:8D7448,1054
C4:D4:9D7 = C14.372+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4112C4:D4:9D7448,1058
C4:D4:10D7 = C14.382+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4112C4:D4:10D7448,1060
C4:D4:11D7 = C14.722- 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:11D7448,1061
C4:D4:12D7 = D28:19D4φ: D7/C7 → C2 ⊆ Out C4:D4112C4:D4:12D7448,1062
C4:D4:13D7 = C14.402+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4112C4:D4:13D7448,1063
C4:D4:14D7 = C14.732- 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:14D7448,1064
C4:D4:15D7 = D28:20D4φ: D7/C7 → C2 ⊆ Out C4:D4112C4:D4:15D7448,1065
C4:D4:16D7 = C14.422+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4112C4:D4:16D7448,1066
C4:D4:17D7 = C14.432+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:17D7448,1067
C4:D4:18D7 = C14.442+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:18D7448,1068
C4:D4:19D7 = C14.452+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:19D7448,1069
C4:D4:20D7 = C14.462+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4112C4:D4:20D7448,1070
C4:D4:21D7 = C14.1152+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:21D7448,1071
C4:D4:22D7 = C14.472+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:22D7448,1072
C4:D4:23D7 = C14.482+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4112C4:D4:23D7448,1073
C4:D4:24D7 = C14.492+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4:24D7448,1074
C4:D4:25D7 = C28:(C4oD4)φ: trivial image224C4:D4:25D7448,1049
C4:D4:26D7 = C4:C4:21D14φ: trivial image112C4:D4:26D7448,1059

Non-split extensions G=N.Q with N=C4:D4 and Q=D7
extensionφ:Q→Out NdρLabelID
C4:D4.1D7 = (D4xC14):C4φ: D7/C7 → C2 ⊆ Out C4:D4112C4:D4.1D7448,94
C4:D4.2D7 = (C2xC14).D8φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4.2D7448,567
C4:D4.3D7 = C4:D4.D7φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4.3D7448,568
C4:D4.4D7 = (C2xD4).D14φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4.4D7448,569
C4:D4.5D7 = Dic14:17D4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4.5D7448,574
C4:D4.6D7 = C7:C8:23D4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4.6D7448,575
C4:D4.7D7 = C7:C8:5D4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4.7D7448,576
C4:D4.8D7 = C14.352+ 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4.8D7448,1055
C4:D4.9D7 = C14.712- 1+4φ: D7/C7 → C2 ⊆ Out C4:D4224C4:D4.9D7448,1056
C4:D4.10D7 = C4:C4.178D14φ: trivial image224C4:D4.10D7448,1053

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