Extensions 1→N→G→Q→1 with N=Dic7 and Q=SD16

Direct product G=NxQ with N=Dic7 and Q=SD16
dρLabelID
SD16xDic7224SD16xDic7448,695

Semidirect products G=N:Q with N=Dic7 and Q=SD16
extensionφ:Q→Out NdρLabelID
Dic7:1SD16 = C56:15D4φ: SD16/C8C2 ⊆ Out Dic7224Dic7:1SD16448,709
Dic7:2SD16 = Dic7:SD16φ: SD16/D4C2 ⊆ Out Dic7224Dic7:2SD16448,352
Dic7:3SD16 = Dic7:3SD16φ: SD16/D4C2 ⊆ Out Dic7224Dic7:3SD16448,696
Dic7:4SD16 = Dic14:2D4φ: SD16/Q8C2 ⊆ Out Dic7224Dic7:4SD16448,296
Dic7:5SD16 = Dic7:5SD16φ: SD16/Q8C2 ⊆ Out Dic7224Dic7:5SD16448,697
Dic7:6SD16 = Dic7:6SD16φ: trivial image224Dic7:6SD16448,292
Dic7:7SD16 = Dic7:7SD16φ: trivial image224Dic7:7SD16448,322
Dic7:8SD16 = Dic7:8SD16φ: trivial image224Dic7:8SD16448,386

Non-split extensions G=N.Q with N=Dic7 and Q=SD16
extensionφ:Q→Out NdρLabelID
Dic7.1SD16 = Dic7.SD16φ: SD16/C8C2 ⊆ Out Dic7224Dic7.1SD16448,294
Dic7.2SD16 = Dic7.1Q16φ: SD16/C8C2 ⊆ Out Dic7448Dic7.2SD16448,326
Dic7.3SD16 = C56:5Q8φ: SD16/C8C2 ⊆ Out Dic7448Dic7.3SD16448,389
Dic7.4SD16 = D4:Dic14φ: SD16/D4C2 ⊆ Out Dic7224Dic7.4SD16448,295
Dic7.5SD16 = D28:Q8φ: SD16/D4C2 ⊆ Out Dic7224Dic7.5SD16448,404
Dic7.6SD16 = Q8:Dic14φ: SD16/Q8C2 ⊆ Out Dic7448Dic7.6SD16448,325
Dic7.7SD16 = Dic14:Q8φ: SD16/Q8C2 ⊆ Out Dic7448Dic7.7SD16448,388

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