Extensions 1→N→G→Q→1 with N=C2xC7:C3 and Q=Q8

Direct product G=NxQ with N=C2xC7:C3 and Q=Q8
dρLabelID
C2xQ8xC7:C3112C2xQ8xC7:C3336,166

Semidirect products G=N:Q with N=C2xC7:C3 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2xC7:C3):Q8 = C2xC4.F7φ: Q8/C4C2 ⊆ Out C2xC7:C3112(C2xC7:C3):Q8336,121

Non-split extensions G=N.Q with N=C2xC7:C3 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2xC7:C3).1Q8 = Dic7:C12φ: Q8/C4C2 ⊆ Out C2xC7:C3112(C2xC7:C3).1Q8336,15
(C2xC7:C3).2Q8 = C28:C12φ: Q8/C4C2 ⊆ Out C2xC7:C3112(C2xC7:C3).2Q8336,16
(C2xC7:C3).3Q8 = C4:C4xC7:C3φ: trivial image112(C2xC7:C3).3Q8336,50

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