Extensions 1→N→G→Q→1 with N=C₄²⋊₂C₂ and Q=D₇

Direct product G=N×Q with N=C₄²⋊₂C₂ and Q=D₇

		d	ρ	Label	ID
D₇×C₄²⋊₂C₂		112		D7xC4^2:2C2	448,1156

Semidirect products G=N:Q with N=C₄²⋊₂C₂ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂⋊₁D₇ = C₄².₁₆₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:1D7	448,1155
C₄²⋊₂C₂⋊₂D₇ = C₄²⋊₂₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	112		C4^2:2C2:2D7	448,1157
C₄²⋊₂C₂⋊₃D₇ = C₄²⋊₂₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	112		C4^2:2C2:3D7	448,1158
C₄²⋊₂C₂⋊₄D₇ = C₄².₁₆₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:4D7	448,1160
C₄²⋊₂C₂⋊₅D₇ = C₄².₁₆₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:5D7	448,1161
C₄²⋊₂C₂⋊₆D₇ = C₄².₁₆₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:6D7	448,1162
C₄²⋊₂C₂⋊₇D₇ = C₄².₁₆₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:7D7	448,1163
C₄²⋊₂C₂⋊₈D₇ = C₄²⋊₂₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	112		C4^2:2C2:8D7	448,1164
C₄²⋊₂C₂⋊₉D₇ = C₄².₁₆₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:9D7	448,1165
C₄²⋊₂C₂⋊₁₀D₇ = C₄².₁₈₉D₁₄	φ: trivial image	224		C4^2:2C2:10D7	448,1159

Non-split extensions G=N.Q with N=C₄²⋊₂C₂ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂.D₇ = C₄².₁₅₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2.D7	448,1154

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