Extensions 1→N→G→Q→1 with N=D₇×C₁₆ and Q=C₂

Direct product G=N×Q with N=D₇×C₁₆ and Q=C₂

		d	ρ	Label	ID
D₇×C₂×C₁₆		224		D7xC2xC16	448,433

Semidirect products G=N:Q with N=D₇×C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₁₆)⋊₁C₂ = D₇×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₆	112	4+	(D7xC16):1C2	448,444
(D₇×C₁₆)⋊₂C₂ = D₁₆⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₆	224	4-	(D7xC16):2C2	448,446
(D₇×C₁₆)⋊₃C₂ = Q₃₂⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₆	224	4+	(D7xC16):3C2	448,453
(D₇×C₁₆)⋊₄C₂ = D₇×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₆	112	4	(D7xC16):4C2	448,447
(D₇×C₁₆)⋊₅C₂ = SD₃₂⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₆	224	4	(D7xC16):5C2	448,450
(D₇×C₁₆)⋊₆C₂ = D₂₈.₄C₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₆	224	2	(D7xC16):6C2	448,435
(D₇×C₁₆)⋊₇C₂ = D₇×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₆	112	4	(D7xC16):7C2	448,440
(D₇×C₁₆)⋊₈C₂ = C₁₆.₁₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₆	224	4	(D7xC16):8C2	448,441

Non-split extensions G=N.Q with N=D₇×C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₁₆).₁C₂ = D₇×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₆	224	4-	(D7xC16).1C2	448,451
(D₇×C₁₆).₂C₂ = C₃₂⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₆	224	2	(D7xC16).2C2	448,4
(D₇×C₁₆).₃C₂ = D₇×C₃₂	φ: trivial image	224	2	(D7xC16).3C2	448,3

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