Extensions 1→N→G→Q→1 with N=C14 and Q=Q16

Direct product G=NxQ with N=C14 and Q=Q16
dρLabelID
C14xQ16224C14xQ16224,169

Semidirect products G=N:Q with N=C14 and Q=Q16
extensionφ:Q→Aut NdρLabelID
C14:1Q16 = C2xDic28φ: Q16/C8C2 ⊆ Aut C14224C14:1Q16224,100
C14:2Q16 = C2xC7:Q16φ: Q16/Q8C2 ⊆ Aut C14224C14:2Q16224,138

Non-split extensions G=N.Q with N=C14 and Q=Q16
extensionφ:Q→Aut NdρLabelID
C14.1Q16 = C28.44D4φ: Q16/C8C2 ⊆ Aut C14224C14.1Q16224,22
C14.2Q16 = C56:1C4φ: Q16/C8C2 ⊆ Aut C14224C14.2Q16224,24
C14.3Q16 = C28.Q8φ: Q16/Q8C2 ⊆ Aut C14224C14.3Q16224,13
C14.4Q16 = C14.Q16φ: Q16/Q8C2 ⊆ Aut C14224C14.4Q16224,16
C14.5Q16 = Q8:Dic7φ: Q16/Q8C2 ⊆ Aut C14224C14.5Q16224,41
C14.6Q16 = C7xQ8:C4central extension (φ=1)224C14.6Q16224,52
C14.7Q16 = C7xC2.D8central extension (φ=1)224C14.7Q16224,56

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