Extensions 1→N→G→Q→1 with N=D₁₄ and Q=C₂×C₆

Direct product G=N×Q with N=D₁₄ and Q=C₂×C₆

		d	ρ	Label	ID
D₇×C₂²×C₆		168		D7xC2^2xC6	336,225

Semidirect products G=N:Q with N=D₁₄ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊₁(C₂×C₆) = C₂×C₄⋊F₇	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₄	56		D14:1(C2xC6)	336,123
D₁₄⋊₂(C₂×C₆) = D₄×F₇	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₄	28	12+	D14:2(C2xC6)	336,125
D₁₄⋊₃(C₂×C₆) = C₂×Dic₇⋊C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₄	56		D14:3(C2xC6)	336,130
D₁₄⋊₄(C₂×C₆) = C₂³×F₇	φ: C₂×C₆/C₂² → C₃ ⊆ Out D₁₄	56		D14:4(C2xC6)	336,216
D₁₄⋊₅(C₂×C₆) = C₆×D₂₈	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₄	168		D14:5(C2xC6)	336,176
D₁₄⋊₆(C₂×C₆) = C₃×D₄×D₇	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₄	84	4	D14:6(C2xC6)	336,178
D₁₄⋊₇(C₂×C₆) = C₆×C₇⋊D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₄	168		D14:7(C2xC6)	336,183

Non-split extensions G=N.Q with N=D₁₄ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.₁(C₂×C₆) = D₂₈⋊₆C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₄	56	6	D14.1(C2xC6)	336,124
D₁₄.₂(C₂×C₆) = D₄⋊₂F₇	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₄	56	12-	D14.2(C2xC6)	336,126
D₁₄.₃(C₂×C₆) = Q₈⋊₃F₇	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₄	56	12+	D14.3(C2xC6)	336,128
D₁₄.₄(C₂×C₆) = C₂×C₄×F₇	φ: C₂×C₆/C₂² → C₃ ⊆ Out D₁₄	56		D14.4(C2xC6)	336,122
D₁₄.₅(C₂×C₆) = Q₈×F₇	φ: C₂×C₆/C₂² → C₃ ⊆ Out D₁₄	56	12-	D14.5(C2xC6)	336,127
D₁₄.₆(C₂×C₆) = C₃×C₄○D₂₈	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₄	168	2	D14.6(C2xC6)	336,177
D₁₄.₇(C₂×C₆) = C₃×D₄⋊₂D₇	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₄	168	4	D14.7(C2xC6)	336,179
D₁₄.₈(C₂×C₆) = C₃×Q₈⋊₂D₇	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₄	168	4	D14.8(C2xC6)	336,181
D₁₄.₉(C₂×C₆) = D₇×C₂×C₁₂	φ: trivial image	168		D14.9(C2xC6)	336,175
D₁₄.₁₀(C₂×C₆) = C₃×Q₈×D₇	φ: trivial image	168	4	D14.10(C2xC6)	336,180

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