Extensions 1→N→G→Q→1 with N=Dic7 and Q=D4

Direct product G=N×Q with N=Dic7 and Q=D4
dρLabelID
D4×Dic7112D4xDic7224,129

Semidirect products G=N:Q with N=Dic7 and Q=D4
extensionφ:Q→Out NdρLabelID
Dic71D4 = C28⋊D4φ: D4/C4C2 ⊆ Out Dic7112Dic7:1D4224,135
Dic72D4 = D14⋊D4φ: D4/C22C2 ⊆ Out Dic7112Dic7:2D4224,79
Dic73D4 = Dic7⋊D4φ: D4/C22C2 ⊆ Out Dic7112Dic7:3D4224,134
Dic74D4 = Dic74D4φ: trivial image112Dic7:4D4224,76
Dic75D4 = D28⋊C4φ: trivial image112Dic7:5D4224,88

Non-split extensions G=N.Q with N=Dic7 and Q=D4
extensionφ:Q→Out NdρLabelID
Dic7.1D4 = Dic7.D4φ: D4/C4C2 ⊆ Out Dic7112Dic7.1D4224,80
Dic7.2D4 = C28⋊Q8φ: D4/C4C2 ⊆ Out Dic7224Dic7.2D4224,83
Dic7.3D4 = D7×D8φ: D4/C4C2 ⊆ Out Dic7564+Dic7.3D4224,105
Dic7.4D4 = D7×SD16φ: D4/C4C2 ⊆ Out Dic7564Dic7.4D4224,108
Dic7.5D4 = D7×Q16φ: D4/C4C2 ⊆ Out Dic71124-Dic7.5D4224,112
Dic7.6D4 = C22⋊Dic14φ: D4/C22C2 ⊆ Out Dic7112Dic7.6D4224,73
Dic7.7D4 = D14⋊Q8φ: D4/C22C2 ⊆ Out Dic7112Dic7.7D4224,91
Dic7.8D4 = D8⋊D7φ: D4/C22C2 ⊆ Out Dic7564Dic7.8D4224,106
Dic7.9D4 = D56⋊C2φ: D4/C22C2 ⊆ Out Dic7564+Dic7.9D4224,109
Dic7.10D4 = SD16⋊D7φ: D4/C22C2 ⊆ Out Dic71124-Dic7.10D4224,110
Dic7.11D4 = Q16⋊D7φ: D4/C22C2 ⊆ Out Dic71124Dic7.11D4224,113
Dic7.12D4 = D83D7φ: trivial image1124-Dic7.12D4224,107
Dic7.13D4 = SD163D7φ: trivial image1124Dic7.13D4224,111
Dic7.14D4 = Q8.D14φ: trivial image1124+Dic7.14D4224,114

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