Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂×C₁₆

Direct product G=N×Q with N=C₁₄ and Q=C₂×C₁₆

		d	ρ	Label	ID
C₂²×C₁₁₂		448		C2^2xC112	448,910

Semidirect products G=N:Q with N=C₁₄ and Q=C₂×C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁(C₂×C₁₆) = D₇×C₂×C₁₆	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₁₄	224		C14:1(C2xC16)	448,433
C₁₄⋊₂(C₂×C₁₆) = C₂²×C₇⋊C₁₆	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14:2(C2xC16)	448,630

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂×C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₂×C₁₆) = D₇×C₃₂	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₁₄	224	2	C14.1(C2xC16)	448,3
C₁₄.₂(C₂×C₁₆) = C₃₂⋊D₇	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₁₄	224	2	C14.2(C2xC16)	448,4
C₁₄.₃(C₂×C₁₆) = C₁₆×Dic₇	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₁₄	448		C14.3(C2xC16)	448,57
C₁₄.₄(C₂×C₁₆) = Dic₇⋊C₁₆	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₁₄	448		C14.4(C2xC16)	448,58
C₁₄.₅(C₂×C₁₆) = D₁₄⋊C₁₆	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₁₄	224		C14.5(C2xC16)	448,64
C₁₄.₆(C₂×C₁₆) = C₄×C₇⋊C₁₆	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.6(C2xC16)	448,17
C₁₄.₇(C₂×C₁₆) = C₂₈⋊C₁₆	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.7(C2xC16)	448,19
C₁₄.₈(C₂×C₁₆) = C₂×C₇⋊C₃₂	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.8(C2xC16)	448,55
C₁₄.₉(C₂×C₁₆) = C₇⋊M₆(2)	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	2	C14.9(C2xC16)	448,56
C₁₄.₁₀(C₂×C₁₆) = C₅₆.₉₁D₄	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.10(C2xC16)	448,106
C₁₄.₁₁(C₂×C₁₆) = C₇×C₂²⋊C₁₆	central extension (φ=1)	224		C14.11(C2xC16)	448,152
C₁₄.₁₂(C₂×C₁₆) = C₇×C₄⋊C₁₆	central extension (φ=1)	448		C14.12(C2xC16)	448,167
C₁₄.₁₃(C₂×C₁₆) = C₇×M₆(2)	central extension (φ=1)	224	2	C14.13(C2xC16)	448,174

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