Extensions 1→N→G→Q→1 with N=C3×Dic7 and Q=C3

Direct product G=N×Q with N=C3×Dic7 and Q=C3
dρLabelID
C32×Dic7252C3^2xDic7252,20

Semidirect products G=N:Q with N=C3×Dic7 and Q=C3
extensionφ:Q→Out NdρLabelID
(C3×Dic7)⋊C3 = C3×C7⋊C12φ: C3/C1C3 ⊆ Out C3×Dic7846(C3xDic7):C3252,16

Non-split extensions G=N.Q with N=C3×Dic7 and Q=C3
extensionφ:Q→Out NdρLabelID
(C3×Dic7).C3 = C7⋊C36φ: C3/C1C3 ⊆ Out C3×Dic72526(C3xDic7).C3252,1
(C3×Dic7).2C3 = C9×Dic7φ: trivial image2522(C3xDic7).2C3252,4

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