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

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

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

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

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₁₄)⋊₁C₁₆ = C₇×C₂²⋊C₁₆	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	224	(C2xC14):1C16	448,152
(C₂×C₁₄)⋊₂C₁₆ = C₅₆.₉₁D₄	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	224	(C2xC14):2C16	448,106
(C₂×C₁₄)⋊₃C₁₆ = C₂²×C₇⋊C₁₆	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	448	(C2xC14):3C16	448,630

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).₁C₁₆ = C₇×M₆(2)	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	224	2	(C2xC14).1C16	448,174
(C₂×C₁₄).₂C₁₆ = C₂×C₇⋊C₃₂	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	448		(C2xC14).2C16	448,55
(C₂×C₁₄).₃C₁₆ = C₇⋊M₆(2)	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	224	2	(C2xC14).3C16	448,56

⋊

ℤ

𝔽

○

≀

ℚ

◁

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