Extensions 1→N→G→Q→1 with N=Q₈×C₁₄ and Q=C₄

Direct product G=N×Q with N=Q₈×C₁₄ and Q=C₄

		d	ρ	Label	ID
Q₈×C₂×C₂₈		448		Q8xC2xC28	448,1299

Semidirect products G=N:Q with N=Q₈×C₁₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₄)⋊₁C₄ = C₄⋊C₄⋊Dic₇	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₄	112		(Q8xC14):1C4	448,95
(Q₈×C₁₄)⋊₂C₄ = C₄²⋊₂Dic₇	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₄	112	4	(Q8xC14):2C4	448,98
(Q₈×C₁₄)⋊₃C₄ = C₇×C₂³.₃₁D₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₄	112		(Q8xC14):3C4	448,132
(Q₈×C₁₄)⋊₄C₄ = C₇×C₄²⋊₃C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₄	112	4	(Q8xC14):4C4	448,158
(Q₈×C₁₄)⋊₅C₄ = C₂×Q₈⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	448		(Q8xC14):5C4	448,758
(Q₈×C₁₄)⋊₆C₄ = (Q₈×C₁₄)⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	224		(Q8xC14):6C4	448,759
(Q₈×C₁₄)⋊₇C₄ = (Q₈×C₁₄)⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	448		(Q8xC14):7C4	448,764
(Q₈×C₁₄)⋊₈C₄ = C₂×D₄⋊₂Dic₇	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	112		(Q8xC14):8C4	448,769
(Q₈×C₁₄)⋊₉C₄ = (D₄×C₁₄)⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	112	4	(Q8xC14):9C4	448,770
(Q₈×C₁₄)⋊₁₀C₄ = (D₄×C₁₄)⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	112	4	(Q8xC14):10C4	448,774
(Q₈×C₁₄)⋊₁₁C₄ = C₂×Q₈×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	448		(Q8xC14):11C4	448,1264
(Q₈×C₁₄)⋊₁₂C₄ = C₁₄.₄₂2_-¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	224		(Q8xC14):12C4	448,1265
(Q₈×C₁₄)⋊₁₃C₄ = C₇×C₂³.₆₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	448		(Q8xC14):13C4	448,799
(Q₈×C₁₄)⋊₁₄C₄ = C₇×C₂³.C₂³	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	112	4	(Q8xC14):14C4	448,818
(Q₈×C₁₄)⋊₁₅C₄ = C₁₄×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	448		(Q8xC14):15C4	448,823
(Q₈×C₁₄)⋊₁₆C₄ = C₇×C₂³.₃₈D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	224		(Q8xC14):16C4	448,827
(Q₈×C₁₄)⋊₁₇C₄ = C₁₄×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	112		(Q8xC14):17C4	448,828
(Q₈×C₁₄)⋊₁₈C₄ = C₇×C₄²⋊C₂²	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	112	4	(Q8xC14):18C4	448,829
(Q₈×C₁₄)⋊₁₉C₄ = C₇×C₂³.₃₂C₂³	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	224		(Q8xC14):19C4	448,1302

Non-split extensions G=N.Q with N=Q₈×C₁₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₄).₁C₄ = C₄².₇D₁₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₄	224		(Q8xC14).1C4	448,97
(Q₈×C₁₄).₂C₄ = C₂₈.₅Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₄	448		(Q8xC14).2C4	448,103
(Q₈×C₁₄).₃C₄ = C₄².₃Dic₇	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₄	112	4	(Q8xC14).3C4	448,105
(Q₈×C₁₄).₄C₄ = C₇×C₄².C₂²	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₄	224		(Q8xC14).4C4	448,133
(Q₈×C₁₄).₅C₄ = C₇×C₄.₆Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₄	448		(Q8xC14).5C4	448,137
(Q₈×C₁₄).₆C₄ = C₇×C₄².₃C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₄	112	4	(Q8xC14).6C4	448,160
(Q₈×C₁₄).₇C₄ = C₂₈.₂₆Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	448		(Q8xC14).7C4	448,92
(Q₈×C₁₄).₈C₄ = Q₈×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	448		(Q8xC14).8C4	448,557
(Q₈×C₁₄).₉C₄ = C₄².₂₁₀D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	448		(Q8xC14).9C4	448,558
(Q₈×C₁₄).₁₀C₄ = C₂×C₂₈.₁₀D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	224		(Q8xC14).10C4	448,760
(Q₈×C₁₄).₁₁C₄ = (D₄×C₁₄).₁₁C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	224		(Q8xC14).11C4	448,768
(Q₈×C₁₄).₁₂C₄ = C₂×Q₈.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	224		(Q8xC14).12C4	448,1271
(Q₈×C₁₄).₁₃C₄ = C₂₈.₇₆C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	112	4	(Q8xC14).13C4	448,1272
(Q₈×C₁₄).₁₄C₄ = C₇×Q₈⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	448		(Q8xC14).14C4	448,130
(Q₈×C₁₄).₁₅C₄ = C₇×(C₂²×C₈)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	224		(Q8xC14).15C4	448,816
(Q₈×C₁₄).₁₆C₄ = C₁₄×C₄.₁₀D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	224		(Q8xC14).16C4	448,820
(Q₈×C₁₄).₁₇C₄ = C₇×C₈⋊₄Q₈	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	448		(Q8xC14).17C4	448,854
(Q₈×C₁₄).₁₈C₄ = C₇×Q₈○M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₄	112	4	(Q8xC14).18C4	448,1351
(Q₈×C₁₄).₁₉C₄ = Q₈×C₅₆	φ: trivial image	448		(Q8xC14).19C4	448,853
(Q₈×C₁₄).₂₀C₄ = C₁₄×C₈○D₄	φ: trivial image	224		(Q8xC14).20C4	448,1350

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Extensions 1→N→G→Q→1 with N=Q8×C14 and Q=C4

Extensions 1→N→G→Q→1 with N=Q₈×C₁₄ and Q=C₄