Extensions 1→N→G→Q→1 with N=C₂².D₄ and Q=D₇

Direct product G=N×Q with N=C₂².D₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₂².D₄		112		D7xC2^2.D4	448,1105

Semidirect products G=N:Q with N=C₂².D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².D₄⋊₁D₇ = C₂²⋊C₄⋊D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	112	4	C2^2.D4:1D7	448,587
C₂².D₄⋊₂D₇ = C₁₄.₇₉2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:2D7	448,1101
C₂².D₄⋊₃D₇ = C₁₄.₁₂₀2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:3D7	448,1106
C₂².D₄⋊₄D₇ = C₁₄.₁₂₁2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:4D7	448,1107
C₂².D₄⋊₅D₇ = C₁₄.₈₂2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:5D7	448,1108
C₂².D₄⋊₆D₇ = C₁₄.₆₁2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:6D7	448,1110
C₂².D₄⋊₇D₇ = C₁₄.₁₂₂2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:7D7	448,1111
C₂².D₄⋊₈D₇ = C₁₄.₆₂2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:8D7	448,1112
C₂².D₄⋊₉D₇ = C₁₄.₈₃2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:9D7	448,1113
C₂².D₄⋊₁₀D₇ = C₁₄.₆₄2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:10D7	448,1114
C₂².D₄⋊₁₁D₇ = C₁₄.₈₄2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:11D7	448,1115
C₂².D₄⋊₁₂D₇ = C₁₄.₆₆2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:12D7	448,1116
C₂².D₄⋊₁₃D₇ = C₁₄.₆₇2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:13D7	448,1117
C₂².D₄⋊₁₄D₇ = C₁₄.₈₅2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:14D7	448,1118
C₂².D₄⋊₁₅D₇ = C₁₄.₆₈2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:15D7	448,1119
C₂².D₄⋊₁₆D₇ = C₁₄.₈₆2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:16D7	448,1120
C₂².D₄⋊₁₇D₇ = C₄⋊C₄.₁₉₇D₁₄	φ: trivial image	224		C2^2.D4:17D7	448,1102
C₂².D₄⋊₁₈D₇ = C₄⋊C₄⋊₂₈D₁₄	φ: trivial image	112		C2^2.D4:18D7	448,1109

Non-split extensions G=N.Q with N=C₂².D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².D₄.₁D₇ = (C₂²×C₂₈)⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	112	4	C2^2.D4.1D7	448,96
C₂².D₄.₂D₇ = C₁₄.₈₀2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4.2D7	448,1103
C₂².D₄.₃D₇ = C₁₄.₆₀2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4.3D7	448,1104

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