Extensions 1→N→G→Q→1 with N=C3×C39 and Q=C3

Direct product G=N×Q with N=C3×C39 and Q=C3
dρLabelID
C32×C39351C3^2xC39351,14

Semidirect products G=N:Q with N=C3×C39 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C3×C39)⋊1C3 = C13×He3φ: C3/C1C3 ⊆ Aut C3×C391173(C3xC39):1C3351,10
(C3×C39)⋊2C3 = C13⋊He3φ: C3/C1C3 ⊆ Aut C3×C391173(C3xC39):2C3351,8
(C3×C39)⋊3C3 = C32×C13⋊C3φ: C3/C1C3 ⊆ Aut C3×C39117(C3xC39):3C3351,13

Non-split extensions G=N.Q with N=C3×C39 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C3×C39).1C3 = C13×3- 1+2φ: C3/C1C3 ⊆ Aut C3×C391173(C3xC39).1C3351,11
(C3×C39).2C3 = C3×C13⋊C9φ: C3/C1C3 ⊆ Aut C3×C39351(C3xC39).2C3351,6
(C3×C39).3C3 = C39.C32φ: C3/C1C3 ⊆ Aut C3×C391173(C3xC39).3C3351,7

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