Extensions 1→N→G→Q→1 with N=C₇×Q₈ and Q=D₄

Direct product G=N×Q with N=C₇×Q₈ and Q=D₄

		d	ρ	Label	ID
C₇×D₄×Q₈		224		C7xD4xQ8	448,1332

Semidirect products G=N:Q with N=C₇×Q₈ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈)⋊₁D₄ = Q₈⋊₂D₂₈	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8):1D4	448,340
(C₇×Q₈)⋊₂D₄ = D₂₈⋊₄D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8):2D4	448,345
(C₇×Q₈)⋊₃D₄ = D₄⋊₄D₂₈	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	56	4+	(C7xQ8):3D4	448,356
(C₇×Q₈)⋊₄D₄ = Dic₇⋊₅SD₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8):4D4	448,697
(C₇×Q₈)⋊₅D₄ = Dic₁₄⋊₇D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8):5D4	448,704
(C₇×Q₈)⋊₆D₄ = D₂₈⋊₇D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8):6D4	448,706
(C₇×Q₈)⋊₇D₄ = D₂₈⋊₁₈D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	56	8+	(C7xQ8):7D4	448,732
(C₇×Q₈)⋊₈D₄ = Q₈⋊D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):8D4	448,561
(C₇×Q₈)⋊₉D₄ = Q₈×D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):9D4	448,1028
(C₇×Q₈)⋊₁₀D₄ = Q₈⋊₅D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):10D4	448,1029
(C₇×Q₈)⋊₁₁D₄ = Q₈⋊₆D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):11D4	448,1030
(C₇×Q₈)⋊₁₂D₄ = C₇×C₄⋊SD₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):12D4	448,868
(C₇×Q₈)⋊₁₃D₄ = (C₇×Q₈)⋊₁₃D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):13D4	448,761
(C₇×Q₈)⋊₁₄D₄ = (C₇×D₄)⋊₁₄D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):14D4	448,772
(C₇×Q₈)⋊₁₅D₄ = 2₊¹⁺⁴⋊D₇	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	56	8+	(C7xQ8):15D4	448,775
(C₇×Q₈)⋊₁₆D₄ = Q₈×C₇⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):16D4	448,1268
(C₇×Q₈)⋊₁₇D₄ = C₁₄.₄₅2_-¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):17D4	448,1270
(C₇×Q₈)⋊₁₈D₄ = C₁₄.₁₀₇2_-¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):18D4	448,1284
(C₇×Q₈)⋊₁₉D₄ = C₁₄.₁₄₈2₊¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):19D4	448,1287
(C₇×Q₈)⋊₂₀D₄ = C₇×Q₈⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):20D4	448,856
(C₇×Q₈)⋊₂₁D₄ = C₇×D₄⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):21D4	448,857
(C₇×Q₈)⋊₂₂D₄ = C₇×D₄⋊₄D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	56	4	(C7xQ8):22D4	448,861
(C₇×Q₈)⋊₂₃D₄ = C₇×Q₈⋊₅D₄	φ: trivial image	224		(C7xQ8):23D4	448,1331
(C₇×Q₈)⋊₂₄D₄ = C₇×Q₈⋊₆D₄	φ: trivial image	224		(C7xQ8):24D4	448,1333

Non-split extensions G=N.Q with N=C₇×Q₈ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈).₁D₄ = D₁₄⋊₄Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8).1D4	448,342
(C₇×Q₈).₂D₄ = Q₈.D₂₈	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8).2D4	448,344
(C₇×Q₈).₃D₄ = M₄(2)⋊D₁₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	112	4	(C7xQ8).3D4	448,359
(C₇×Q₈).₄D₄ = D₄.₉D₂₈	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	112	4-	(C7xQ8).4D4	448,360
(C₇×Q₈).₅D₄ = D₄.₁₀D₂₈	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	112	4	(C7xQ8).5D4	448,361
(C₇×Q₈).₆D₄ = (C₇×Q₈).D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8).6D4	448,700
(C₇×Q₈).₇D₄ = Dic₇⋊₃Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	448		(C7xQ8).7D4	448,716
(C₇×Q₈).₈D₄ = (C₂×Q₁₆)⋊D₇	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8).8D4	448,719
(C₇×Q₈).₉D₄ = D₁₄⋊₅Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8).9D4	448,720
(C₇×Q₈).₁₀D₄ = D₂₈.₁₇D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224		(C7xQ8).10D4	448,721
(C₇×Q₈).₁₁D₄ = M₄(2).D₁₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	112	8+	(C7xQ8).11D4	448,733
(C₇×Q₈).₁₂D₄ = M₄(2).₁₃D₁₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	112	8-	(C7xQ8).12D4	448,734
(C₇×Q₈).₁₃D₄ = D₂₈.₃₈D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	112	8-	(C7xQ8).13D4	448,735
(C₇×Q₈).₁₄D₄ = D₂₈.₃₉D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	112	8+	(C7xQ8).14D4	448,736
(C₇×Q₈).₁₅D₄ = M₄(2).₁₅D₁₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	112	8+	(C7xQ8).15D4	448,737
(C₇×Q₈).₁₆D₄ = M₄(2).₁₆D₁₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	224	8-	(C7xQ8).16D4	448,738
(C₇×Q₈).₁₇D₄ = D₂₈.₄₀D₄	φ: D₄/C₂ → C₂² ⊆ Out C₇×Q₈	112	8-	(C7xQ8).17D4	448,739
(C₇×Q₈).₁₈D₄ = Q₈.₁D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8).18D4	448,562
(C₇×Q₈).₁₉D₄ = C₂₈⋊₇Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8).19D4	448,565
(C₇×Q₈).₂₀D₄ = D₄.₃D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).20D4	448,675
(C₇×Q₈).₂₁D₄ = D₄.₄D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	112	4+	(C7xQ8).21D4	448,676
(C₇×Q₈).₂₂D₄ = D₄.₅D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	224	4-	(C7xQ8).22D4	448,677
(C₇×Q₈).₂₃D₄ = D₄.₁₁D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).23D4	448,1204
(C₇×Q₈).₂₄D₄ = D₄.₁₂D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	112	4+	(C7xQ8).24D4	448,1205
(C₇×Q₈).₂₅D₄ = D₄.₁₃D₂₈	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	224	4-	(C7xQ8).25D4	448,1206
(C₇×Q₈).₂₆D₄ = C₇×C₄⋊₂Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8).26D4	448,870
(C₇×Q₈).₂₇D₄ = C₇×Q₈.D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8).27D4	448,872
(C₇×Q₈).₂₈D₄ = C₇×D₄.₃D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).28D4	448,879
(C₇×Q₈).₂₉D₄ = C₇×D₄.₄D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).29D4	448,880
(C₇×Q₈).₃₀D₄ = C₇×D₄.₅D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇×Q₈	224	4	(C7xQ8).30D4	448,881
(C₇×Q₈).₃₁D₄ = (C₂×C₁₄)⋊₈Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8).31D4	448,762
(C₇×Q₈).₃₂D₄ = (C₇×D₄).₃₂D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8).32D4	448,773
(C₇×Q₈).₃₃D₄ = 2₊¹⁺⁴.D₇	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	112	8-	(C7xQ8).33D4	448,776
(C₇×Q₈).₃₄D₄ = 2_-¹⁺⁴⋊D₇	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	112	8+	(C7xQ8).34D4	448,779
(C₇×Q₈).₃₅D₄ = 2_-¹⁺⁴.D₇	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	112	8-	(C7xQ8).35D4	448,780
(C₇×Q₈).₃₆D₄ = D₂₈.₃₂C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	112	8+	(C7xQ8).36D4	448,1288
(C₇×Q₈).₃₇D₄ = D₂₈.₃₃C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	112	8-	(C7xQ8).37D4	448,1289
(C₇×Q₈).₃₈D₄ = D₂₈.₃₄C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	112	8+	(C7xQ8).38D4	448,1290
(C₇×Q₈).₃₉D₄ = D₂₈.₃₅C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224	8-	(C7xQ8).39D4	448,1291
(C₇×Q₈).₄₀D₄ = C₇×C₂²⋊Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8).40D4	448,859
(C₇×Q₈).₄₁D₄ = C₇×D₄.₇D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8).41D4	448,860
(C₇×Q₈).₄₂D₄ = C₇×D₄.₈D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).42D4	448,862
(C₇×Q₈).₄₃D₄ = C₇×D₄.₉D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).43D4	448,863
(C₇×Q₈).₄₄D₄ = C₇×D₄.₁₀D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).44D4	448,864
(C₇×Q₈).₄₅D₄ = C₇×D₄○D₈	φ: trivial image	112	4	(C7xQ8).45D4	448,1359
(C₇×Q₈).₄₆D₄ = C₇×D₄○SD₁₆	φ: trivial image	112	4	(C7xQ8).46D4	448,1360
(C₇×Q₈).₄₇D₄ = C₇×Q₈○D₈	φ: trivial image	224	4	(C7xQ8).47D4	448,1361

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Extensions 1→N→G→Q→1 with N=C7×Q8 and Q=D4

Extensions 1→N→G→Q→1 with N=C₇×Q₈ and Q=D₄