Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=C₁₄

Direct product G=N×Q with N=C₃×C₆ and Q=C₁₄

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

Semidirect products G=N:Q with N=C₃×C₆ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊₁C₁₄ = S₃×C₄₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃×C₆	84	2	(C3xC6):1C14	252,42
(C₃×C₆)⋊₂C₁₄ = C₁₄×C₃⋊S₃	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃×C₆	126		(C3xC6):2C14	252,44

Non-split extensions G=N.Q with N=C₃×C₆ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).₁C₁₄ = Dic₃×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃×C₆	84	2	(C3xC6).1C14	252,21
(C₃×C₆).₂C₁₄ = C₇×C₃⋊Dic₃	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃×C₆	252		(C3xC6).2C14	252,23

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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C14