Extensions 1→N→G→Q→1 with N=C₇⋊D₄ and Q=D₄

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

		d	ρ	Label	ID
D₄×C₇⋊D₄		112		D4xC7:D4	448,1254

Semidirect products G=N:Q with N=C₇⋊D₄ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊D₄⋊₁D₄ = D₂₈⋊₁₉D₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊D₄	112		C7:D4:1D4	448,1062
C₇⋊D₄⋊₂D₄ = C₁₄.₄₀2₊¹⁺⁴	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊D₄	112		C7:D4:2D4	448,1063
C₇⋊D₄⋊₃D₄ = C₁₄.₇₃2_-¹⁺⁴	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊D₄	224		C7:D4:3D4	448,1064
C₇⋊D₄⋊₄D₄ = C₂⁴⋊₃D₁₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊D₄	112		C7:D4:4D4	448,1043
C₇⋊D₄⋊₅D₄ = C₂⁴.₃₃D₁₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊D₄	112		C7:D4:5D4	448,1044
C₇⋊D₄⋊₆D₄ = C₁₄.₁₂₁2₊¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊D₄	112		C7:D4:6D4	448,1107
C₇⋊D₄⋊₇D₄ = C₁₄.₈₂2_-¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊D₄	224		C7:D4:7D4	448,1108
C₇⋊D₄⋊₈D₄ = C₂⁴.₂₇D₁₄	φ: trivial image	112		C7:D4:8D4	448,943
C₇⋊D₄⋊₉D₄ = C₁₄.2_-¹⁺⁴	φ: trivial image	224		C7:D4:9D4	448,960

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊D₄.₁D₄ = D₈⋊₁₅D₁₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊D₄	112	4+	C7:D4.1D4	448,1222
C₇⋊D₄.₂D₄ = D₈⋊₁₁D₁₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊D₄	112	4	C7:D4.2D4	448,1223
C₇⋊D₄.₃D₄ = D₈.₁₀D₁₄	φ: D₄/C₄ → C₂ ⊆ Out C₇⋊D₄	224	4-	C7:D4.3D4	448,1224
C₇⋊D₄.₄D₄ = D₈⋊₅D₁₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊D₄	112	8+	C7:D4.4D4	448,1227
C₇⋊D₄.₅D₄ = D₈⋊₆D₁₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊D₄	112	8-	C7:D4.5D4	448,1228
C₇⋊D₄.₆D₄ = C₅₆.C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊D₄	112	8+	C7:D4.6D4	448,1231
C₇⋊D₄.₇D₄ = D₂₈.₄₄D₄	φ: D₄/C₂² → C₂ ⊆ Out C₇⋊D₄	224	8-	C7:D4.7D4	448,1232
C₇⋊D₄.₈D₄ = D₈⋊₁₃D₁₄	φ: trivial image	112	4	C7:D4.8D4	448,1210
C₇⋊D₄.₉D₄ = D₂₈.₂₉D₄	φ: trivial image	112	4	C7:D4.9D4	448,1215
C₇⋊D₄.₁₀D₄ = D₂₈.₃₀D₄	φ: trivial image	224	4	C7:D4.10D4	448,1219

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