Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₃×Q₈

Direct product G=N×Q with N=C₁₄ and Q=C₃×Q₈

		d	ρ	Label	ID
Q₈×C₄₂		336		Q8xC42	336,206

Semidirect products G=N:Q with N=C₁₄ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊(C₃×Q₈) = C₂×C₄.F₇	φ: C₃×Q₈/C₄ → C₆ ⊆ Aut C₁₄	112		C14:(C3xQ8)	336,121
C₁₄⋊₂(C₃×Q₈) = C₂×Q₈×C₇⋊C₃	φ: C₃×Q₈/Q₈ → C₃ ⊆ Aut C₁₄	112		C14:2(C3xQ8)	336,166
C₁₄⋊₃(C₃×Q₈) = C₆×Dic₁₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₄	336		C14:3(C3xQ8)	336,174

Non-split extensions G=N.Q with N=C₁₄ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₃×Q₈) = Dic₇⋊C₁₂	φ: C₃×Q₈/C₄ → C₆ ⊆ Aut C₁₄	112		C14.1(C3xQ8)	336,15
C₁₄.₂(C₃×Q₈) = C₂₈⋊C₁₂	φ: C₃×Q₈/C₄ → C₆ ⊆ Aut C₁₄	112		C14.2(C3xQ8)	336,16
C₁₄.₃(C₃×Q₈) = C₄⋊C₄×C₇⋊C₃	φ: C₃×Q₈/Q₈ → C₃ ⊆ Aut C₁₄	112		C14.3(C3xQ8)	336,50
C₁₄.₄(C₃×Q₈) = C₃×Dic₇⋊C₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₄	336		C14.4(C3xQ8)	336,66
C₁₄.₅(C₃×Q₈) = C₃×C₄⋊Dic₇	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₄	336		C14.5(C3xQ8)	336,67
C₁₄.₆(C₃×Q₈) = C₄⋊C₄×C₂₁	central extension (φ=1)	336		C14.6(C3xQ8)	336,108

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