Extensions 1→N→G→Q→1 with N=C3×C13⋊C3 and Q=C3

Direct product G=N×Q with N=C3×C13⋊C3 and Q=C3
dρLabelID
C32×C13⋊C3117C3^2xC13:C3351,13

Semidirect products G=N:Q with N=C3×C13⋊C3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C3×C13⋊C3)⋊C3 = C13⋊He3φ: C3/C1C3 ⊆ Out C3×C13⋊C31173(C3xC13:C3):C3351,8

Non-split extensions G=N.Q with N=C3×C13⋊C3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C3×C13⋊C3).1C3 = C117⋊C3φ: C3/C1C3 ⊆ Out C3×C13⋊C31173(C3xC13:C3).1C3351,4
(C3×C13⋊C3).2C3 = C1173C3φ: C3/C1C3 ⊆ Out C3×C13⋊C31173(C3xC13:C3).2C3351,5
(C3×C13⋊C3).3C3 = C9×C13⋊C3φ: trivial image1173(C3xC13:C3).3C3351,3

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