Extensions 1→N→G→Q→1 with N=C₁₄ and Q=M₅(2)

Direct product G=N×Q with N=C₁₄ and Q=M₅(2)

		d	ρ	Label	ID
C₁₄×M₅(2)		224		C14xM5(2)	448,911

Semidirect products G=N:Q with N=C₁₄ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁M₅(2) = C₂×C₁₆⋊D₇	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₄	224		C14:1M5(2)	448,434
C₁₄⋊₂M₅(2) = C₂×C₂₈.C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14:2M5(2)	448,631

Non-split extensions G=N.Q with N=C₁₄ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁M₅(2) = Dic₇⋊C₁₆	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₄	448		C14.1M5(2)	448,58
C₁₄.₂M₅(2) = C₁₁₂⋊₉C₄	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₄	448		C14.2M5(2)	448,59
C₁₄.₃M₅(2) = D₁₄⋊C₁₆	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₄	224		C14.3M5(2)	448,64
C₁₄.₄M₅(2) = C₅₆.C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.4M5(2)	448,18
C₁₄.₅M₅(2) = C₂₈⋊C₁₆	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.5M5(2)	448,19
C₁₄.₆M₅(2) = C₅₆.₉₁D₄	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.6M5(2)	448,106
C₁₄.₇M₅(2) = C₇×C₁₆⋊₅C₄	central extension (φ=1)	448		C14.7M5(2)	448,150
C₁₄.₈M₅(2) = C₇×C₂²⋊C₁₆	central extension (φ=1)	224		C14.8M5(2)	448,152
C₁₄.₉M₅(2) = C₇×C₄⋊C₁₆	central extension (φ=1)	448		C14.9M5(2)	448,167

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