Extensions 1→N→G→Q→1 with N=C₁₄ and Q=M₄(2)

Direct product G=N×Q with N=C₁₄ and Q=M₄(2)

		d	ρ	Label	ID
C₁₄×M₄(2)		112		C14xM4(2)	224,165

Semidirect products G=N:Q with N=C₁₄ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁M₄(2) = C₂×C₈⋊D₇	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₄	112		C14:1M4(2)	224,95
C₁₄⋊₂M₄(2) = C₂×C₄.Dic₇	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₄	112		C14:2M4(2)	224,116

Non-split extensions G=N.Q with N=C₁₄ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁M₄(2) = Dic₇⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₄	224		C14.1M4(2)	224,20
C₁₄.₂M₄(2) = C₅₆⋊C₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₄	224		C14.2M4(2)	224,21
C₁₄.₃M₄(2) = D₁₄⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₄	112		C14.3M4(2)	224,26
C₁₄.₄M₄(2) = C₄².D₇	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₄	224		C14.4M4(2)	224,9
C₁₄.₅M₄(2) = C₂₈⋊C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₄	224		C14.5M4(2)	224,10
C₁₄.₆M₄(2) = C₂₈.₅₅D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₄	112		C14.6M4(2)	224,36
C₁₄.₇M₄(2) = C₇×C₈⋊C₄	central extension (φ=1)	224		C14.7M4(2)	224,46
C₁₄.₈M₄(2) = C₇×C₂²⋊C₈	central extension (φ=1)	112		C14.8M4(2)	224,47
C₁₄.₉M₄(2) = C₇×C₄⋊C₈	central extension (φ=1)	224		C14.9M4(2)	224,54

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