Extensions 1→N→G→Q→1 with N=C22xC13:C3 and Q=C2

Direct product G=NxQ with N=C22xC13:C3 and Q=C2
dρLabelID
C23xC13:C3104C2^3xC13:C3312,55

Semidirect products G=N:Q with N=C22xC13:C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xC13:C3):1C2 = D26:C6φ: C2/C1C2 ⊆ Out C22xC13:C3526(C2^2xC13:C3):1C2312,12
(C22xC13:C3):2C2 = C22xC13:C6φ: C2/C1C2 ⊆ Out C22xC13:C352(C2^2xC13:C3):2C2312,49
(C22xC13:C3):3C2 = D4xC13:C3φ: C2/C1C2 ⊆ Out C22xC13:C3526(C2^2xC13:C3):3C2312,23

Non-split extensions G=N.Q with N=C22xC13:C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xC13:C3).C2 = C2xC26.C6φ: C2/C1C2 ⊆ Out C22xC13:C3104(C2^2xC13:C3).C2312,11
(C22xC13:C3).2C2 = C2xC4xC13:C3φ: trivial image104(C2^2xC13:C3).2C2312,22

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