Extensions 1→N→G→Q→1 with N=C₄⋊D₄ and Q=D₇

Direct product G=N×Q with N=C₄⋊D₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₄⋊D₄		112		D7xC4:D4	448,1057

Semidirect products G=N:Q with N=C₄⋊D₄ and Q=D₇

extension	φ:Q→Out N	d	Label	ID
C₄⋊D₄⋊₁D₇ = D₂₈⋊₁₆D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:1D7	448,570
C₄⋊D₄⋊₂D₇ = D₂₈⋊₁₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:2D7	448,571
C₄⋊D₄⋊₃D₇ = C₇⋊C₈⋊₂₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:3D7	448,572
C₄⋊D₄⋊₄D₇ = C₄⋊D₄⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:4D7	448,573
C₄⋊D₄⋊₅D₇ = C₁₄.₆₈2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:5D7	448,1050
C₄⋊D₄⋊₆D₇ = Dic₁₄⋊₁₉D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:6D7	448,1051
C₄⋊D₄⋊₇D₇ = Dic₁₄⋊₂₀D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:7D7	448,1052
C₄⋊D₄⋊₈D₇ = C₁₄.₃₄2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:8D7	448,1054
C₄⋊D₄⋊₉D₇ = C₁₄.₃₇2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:9D7	448,1058
C₄⋊D₄⋊₁₀D₇ = C₁₄.₃₈2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:10D7	448,1060
C₄⋊D₄⋊₁₁D₇ = C₁₄.₇₂2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:11D7	448,1061
C₄⋊D₄⋊₁₂D₇ = D₂₈⋊₁₉D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:12D7	448,1062
C₄⋊D₄⋊₁₃D₇ = C₁₄.₄₀2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:13D7	448,1063
C₄⋊D₄⋊₁₄D₇ = C₁₄.₇₃2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:14D7	448,1064
C₄⋊D₄⋊₁₅D₇ = D₂₈⋊₂₀D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:15D7	448,1065
C₄⋊D₄⋊₁₆D₇ = C₁₄.₄₂2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:16D7	448,1066
C₄⋊D₄⋊₁₇D₇ = C₁₄.₄₃2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:17D7	448,1067
C₄⋊D₄⋊₁₈D₇ = C₁₄.₄₄2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:18D7	448,1068
C₄⋊D₄⋊₁₉D₇ = C₁₄.₄₅2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:19D7	448,1069
C₄⋊D₄⋊₂₀D₇ = C₁₄.₄₆2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:20D7	448,1070
C₄⋊D₄⋊₂₁D₇ = C₁₄.₁₁₅2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:21D7	448,1071
C₄⋊D₄⋊₂₂D₇ = C₁₄.₄₇2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:22D7	448,1072
C₄⋊D₄⋊₂₃D₇ = C₁₄.₄₈2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:23D7	448,1073
C₄⋊D₄⋊₂₄D₇ = C₁₄.₄₉2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:24D7	448,1074
C₄⋊D₄⋊₂₅D₇ = C₂₈⋊(C₄○D₄)	φ: trivial image	224	C4:D4:25D7	448,1049
C₄⋊D₄⋊₂₆D₇ = C₄⋊C₄⋊₂₁D₁₄	φ: trivial image	112	C4:D4:26D7	448,1059

Non-split extensions G=N.Q with N=C₄⋊D₄ and Q=D₇

extension	φ:Q→Out N	d	Label	ID
C₄⋊D₄.₁D₇ = (D₄×C₁₄)⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4.1D7	448,94
C₄⋊D₄.₂D₇ = (C₂×C₁₄).D₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.2D7	448,567
C₄⋊D₄.₃D₇ = C₄⋊D₄.D₇	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.3D7	448,568
C₄⋊D₄.₄D₇ = (C₂×D₄).D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.4D7	448,569
C₄⋊D₄.₅D₇ = Dic₁₄⋊₁₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.5D7	448,574
C₄⋊D₄.₆D₇ = C₇⋊C₈⋊₂₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.6D7	448,575
C₄⋊D₄.₇D₇ = C₇⋊C₈⋊₅D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.7D7	448,576
C₄⋊D₄.₈D₇ = C₁₄.₃₅2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.8D7	448,1055
C₄⋊D₄.₉D₇ = C₁₄.₇₁2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.9D7	448,1056
C₄⋊D₄.₁₀D₇ = C₄⋊C₄.₁₇₈D₁₄	φ: trivial image	224	C4:D4.10D7	448,1053

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Extensions 1→N→G→Q→1 with N=C4⋊D4 and Q=D7

Extensions 1→N→G→Q→1 with N=C₄⋊D₄ and Q=D₇