Extensions 1→N→G→Q→1 with N=D₁₄ and Q=M₄(2)

Direct product G=N×Q with N=D₁₄ and Q=M₄(2)

		d	ρ	Label	ID
C₂×D₇×M₄(2)		112		C2xD7xM4(2)	448,1196

Semidirect products G=N:Q with N=D₁₄ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊₁M₄(2) = C₈⋊₉D₂₈	φ: M₄(2)/C₈ → C₂ ⊆ Out D₁₄	224		D14:1M4(2)	448,240
D₁₄⋊₂M₄(2) = D₁₄⋊₂M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₁₄	224		D14:2M4(2)	448,262
D₁₄⋊₃M₄(2) = D₁₄⋊₃M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₁₄	224		D14:3M4(2)	448,370
D₁₄⋊₄M₄(2) = C₅₆⋊D₄	φ: M₄(2)/C₈ → C₂ ⊆ Out D₁₄	224		D14:4M4(2)	448,661
D₁₄⋊₅M₄(2) = D₁₄⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₄	112		D14:5M4(2)	448,260
D₁₄⋊₆M₄(2) = D₁₄⋊₆M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₄	112		D14:6M4(2)	448,660

Non-split extensions G=N.Q with N=D₁₄ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.₁M₄(2) = C₄².₁₈₂D₁₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₄	224		D14.1M4(2)	448,239
D₁₄.₂M₄(2) = C₄².₂₀₂D₁₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₄	224		D14.2M4(2)	448,369
D₁₄.₃M₄(2) = D₇×C₈⋊C₄	φ: trivial image	224		D14.3M4(2)	448,238
D₁₄.₄M₄(2) = D₇×C₂²⋊C₈	φ: trivial image	112		D14.4M4(2)	448,258
D₁₄.₅M₄(2) = D₇×C₄⋊C₈	φ: trivial image	224		D14.5M4(2)	448,366

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