Extensions 1→N→G→Q→1 with N=C₃×C₄₂ and Q=C₂

Direct product G=N×Q with N=C₃×C₄₂ and Q=C₂

		d	ρ	Label	ID
C₆×C₄₂		252		C6xC42	252,46

Semidirect products G=N:Q with N=C₃×C₄₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₄₂)⋊₁C₂ = C₂×C₃⋊D₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₄₂	126		(C3xC42):1C2	252,45
(C₃×C₄₂)⋊₂C₂ = C₆×D₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₄₂	84	2	(C3xC42):2C2	252,43
(C₃×C₄₂)⋊₃C₂ = D₇×C₃×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₄₂	126		(C3xC42):3C2	252,41
(C₃×C₄₂)⋊₄C₂ = S₃×C₄₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₄₂	84	2	(C3xC42):4C2	252,42
(C₃×C₄₂)⋊₅C₂ = C₁₄×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₄₂	126		(C3xC42):5C2	252,44

Non-split extensions G=N.Q with N=C₃×C₄₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₄₂).₁C₂ = C₃⋊Dic₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₄₂	252		(C3xC42).1C2	252,24
(C₃×C₄₂).₂C₂ = C₃×Dic₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₄₂	84	2	(C3xC42).2C2	252,22
(C₃×C₄₂).₃C₂ = C₃²×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₄₂	252		(C3xC42).3C2	252,20
(C₃×C₄₂).₄C₂ = Dic₃×C₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₄₂	84	2	(C3xC42).4C2	252,21
(C₃×C₄₂).₅C₂ = C₇×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₄₂	252		(C3xC42).5C2	252,23

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