Extensions 1→N→G→Q→1 with N=C₁₄×D₈ and Q=C₂

Direct product G=N×Q with N=C₁₄×D₈ and Q=C₂

		d	ρ	Label	ID
D₈×C₂×C₁₄		224		D8xC2xC14	448,1352

Semidirect products G=N:Q with N=C₁₄×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₄×D₈)⋊₁C₂ = D₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112	4	(C14xD8):1C2	448,681
(C₁₄×D₈)⋊₂C₂ = C₅₆.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112	4	(C14xD8):2C2	448,694
(C₁₄×D₈)⋊₃C₂ = D₈⋊₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112	4	(C14xD8):3C2	448,1210
(C₁₄×D₈)⋊₄C₂ = C₂×C₇⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):4C2	448,680
(C₁₄×D₈)⋊₅C₂ = C₅₆⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):5C2	448,685
(C₁₄×D₈)⋊₆C₂ = C₅₆⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):6C2	448,691
(C₁₄×D₈)⋊₇C₂ = C₂×D₇×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112		(C14xD8):7C2	448,1207
(C₁₄×D₈)⋊₈C₂ = C₂×D₈⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):8C2	448,1209
(C₁₄×D₈)⋊₉C₂ = C₅₆⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):9C2	448,688
(C₁₄×D₈)⋊₁₀C₂ = C₅₆⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):10C2	448,693
(C₁₄×D₈)⋊₁₁C₂ = C₂×D₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112		(C14xD8):11C2	448,1208
(C₁₄×D₈)⋊₁₂C₂ = Dic₇⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):12C2	448,684
(C₁₄×D₈)⋊₁₃C₂ = D₂₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112		(C14xD8):13C2	448,690
(C₁₄×D₈)⋊₁₄C₂ = Dic₁₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):14C2	448,692
(C₁₄×D₈)⋊₁₅C₂ = C₇×C₂²⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112		(C14xD8):15C2	448,855
(C₁₄×D₈)⋊₁₆C₂ = C₇×D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):16C2	448,857
(C₁₄×D₈)⋊₁₇C₂ = C₇×C₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):17C2	448,867
(C₁₄×D₈)⋊₁₈C₂ = C₇×C₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):18C2	448,874
(C₁₄×D₈)⋊₁₉C₂ = C₇×C₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):19C2	448,901
(C₁₄×D₈)⋊₂₀C₂ = C₁₄×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):20C2	448,913
(C₁₄×D₈)⋊₂₁C₂ = C₇×C₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):21C2	448,877
(C₁₄×D₈)⋊₂₂C₂ = C₇×D₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112	4	(C14xD8):22C2	448,880
(C₁₄×D₈)⋊₂₃C₂ = C₇×C₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8):23C2	448,904
(C₁₄×D₈)⋊₂₄C₂ = C₇×C₁₆⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112	4	(C14xD8):24C2	448,917
(C₁₄×D₈)⋊₂₅C₂ = C₁₄×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112		(C14xD8):25C2	448,1356
(C₁₄×D₈)⋊₂₆C₂ = C₇×D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112	4	(C14xD8):26C2	448,1359
(C₁₄×D₈)⋊₂₇C₂ = C₁₄×C₄○D₈	φ: trivial image	224		(C14xD8):27C2	448,1355

Non-split extensions G=N.Q with N=C₁₄×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₄×D₈).₁C₂ = D₈.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112	4	(C14xD8).1C2	448,120
(C₁₄×D₈).₂C₂ = C₁₄.SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).2C2	448,119
(C₁₄×D₈).₃C₂ = C₂×D₈.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).3C2	448,682
(C₁₄×D₈).₄C₂ = D₈×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).4C2	448,683
(C₁₄×D₈).₅C₂ = C₅₆.₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).5C2	448,689
(C₁₄×D₈).₆C₂ = D₈⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).6C2	448,686
(C₁₄×D₈).₇C₂ = C₇×C₂.D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).7C2	448,161
(C₁₄×D₈).₈C₂ = (C₂×D₈).D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).8C2	448,687
(C₁₄×D₈).₉C₂ = C₇×D₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).9C2	448,871
(C₁₄×D₈).₁₀C₂ = C₇×C₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).10C2	448,903
(C₁₄×D₈).₁₁C₂ = C₁₄×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).11C2	448,914
(C₁₄×D₈).₁₂C₂ = C₇×M₅(2)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	112	4	(C14xD8).12C2	448,165
(C₁₄×D₈).₁₃C₂ = C₇×D₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×D₈	224		(C14xD8).13C2	448,850
(C₁₄×D₈).₁₄C₂ = D₈×C₂₈	φ: trivial image	224		(C14xD8).14C2	448,845

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Extensions 1→N→G→Q→1 with N=C14×D8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₁₄×D₈ and Q=C₂