Extensions 1→N→G→Q→1 with N=C4xC13:C3 and Q=C2

Direct product G=NxQ with N=C4xC13:C3 and Q=C2
dρLabelID
C2xC4xC13:C3104C2xC4xC13:C3312,22

Semidirect products G=N:Q with N=C4xC13:C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xC13:C3):1C2 = D52:C3φ: C2/C1C2 ⊆ Out C4xC13:C3526+(C4xC13:C3):1C2312,10
(C4xC13:C3):2C2 = C4xC13:C6φ: C2/C1C2 ⊆ Out C4xC13:C3526(C4xC13:C3):2C2312,9
(C4xC13:C3):3C2 = D4xC13:C3φ: C2/C1C2 ⊆ Out C4xC13:C3526(C4xC13:C3):3C2312,23

Non-split extensions G=N.Q with N=C4xC13:C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xC13:C3).1C2 = Dic26:C3φ: C2/C1C2 ⊆ Out C4xC13:C31046-(C4xC13:C3).1C2312,8
(C4xC13:C3).2C2 = C13:2C24φ: C2/C1C2 ⊆ Out C4xC13:C31046(C4xC13:C3).2C2312,1
(C4xC13:C3).3C2 = Q8xC13:C3φ: C2/C1C2 ⊆ Out C4xC13:C31046(C4xC13:C3).3C2312,24
(C4xC13:C3).4C2 = C8xC13:C3φ: trivial image1043(C4xC13:C3).4C2312,2

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