Extensions 1→N→G→Q→1 with N=C4×He3 and Q=C3

Direct product G=N×Q with N=C4×He3 and Q=C3
dρLabelID
C12×He3108C12xHe3324,106

Semidirect products G=N:Q with N=C4×He3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C4×He3)⋊1C3 = C4×C3≀C3φ: C3/C1C3 ⊆ Out C4×He3363(C4xHe3):1C3324,31
(C4×He3)⋊2C3 = C4×He3⋊C3φ: C3/C1C3 ⊆ Out C4×He31083(C4xHe3):2C3324,33

Non-split extensions G=N.Q with N=C4×He3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C4×He3).C3 = C4×He3.C3φ: C3/C1C3 ⊆ Out C4×He31083(C4xHe3).C3324,32
(C4×He3).2C3 = C4×C9○He3φ: trivial image1083(C4xHe3).2C3324,108

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