Extensions 1→N→G→Q→1 with N=C3×C42 and Q=C3

Direct product G=N×Q with N=C3×C42 and Q=C3
dρLabelID
C32×C42378C3^2xC42378,60

Semidirect products G=N:Q with N=C3×C42 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C3×C42)⋊1C3 = C14×He3φ: C3/C1C3 ⊆ Aut C3×C421263(C3xC42):1C3378,45
(C3×C42)⋊2C3 = C2×C7⋊He3φ: C3/C1C3 ⊆ Aut C3×C421263(C3xC42):2C3378,28
(C3×C42)⋊3C3 = C3×C6×C7⋊C3φ: C3/C1C3 ⊆ Aut C3×C42126(C3xC42):3C3378,52

Non-split extensions G=N.Q with N=C3×C42 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C3×C42).1C3 = C14×3- 1+2φ: C3/C1C3 ⊆ Aut C3×C421263(C3xC42).1C3378,46
(C3×C42).2C3 = C6×C7⋊C9φ: C3/C1C3 ⊆ Aut C3×C42378(C3xC42).2C3378,26
(C3×C42).3C3 = C2×C21.C32φ: C3/C1C3 ⊆ Aut C3×C421263(C3xC42).3C3378,27

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