Extensions 1→N→G→Q→1 with N=C₂²≀C₂ and Q=D₇

Direct product G=N×Q with N=C₂²≀C₂ and Q=D₇

		d	ρ	Label	ID
D₇×C₂²≀C₂		56		D7xC2^2wrC2	448,1041

Semidirect products G=N:Q with N=C₂²≀C₂ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²≀C₂⋊₁D₇ = C₂⁴⋊D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²≀C₂	56	4	C2^2wrC2:1D7	448,566
C₂²≀C₂⋊₂D₇ = C₂⁴⋊₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²≀C₂	112		C2^2wrC2:2D7	448,1042
C₂²≀C₂⋊₃D₇ = C₂⁴⋊₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²≀C₂	112		C2^2wrC2:3D7	448,1043
C₂²≀C₂⋊₄D₇ = C₂⁴.₃₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²≀C₂	112		C2^2wrC2:4D7	448,1044
C₂²≀C₂⋊₅D₇ = C₂⁴.₃₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²≀C₂	112		C2^2wrC2:5D7	448,1045
C₂²≀C₂⋊₆D₇ = C₂⁴.₃₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²≀C₂	112		C2^2wrC2:6D7	448,1046
C₂²≀C₂⋊₇D₇ = C₂⁴⋊₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²≀C₂	112		C2^2wrC2:7D7	448,1047
C₂²≀C₂⋊₈D₇ = C₂⁴.₃₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²≀C₂	112		C2^2wrC2:8D7	448,1048
C₂²≀C₂⋊₉D₇ = C₂⁴.₅₆D₁₄	φ: trivial image	112		C2^2wrC2:9D7	448,1039

Non-split extensions G=N.Q with N=C₂²≀C₂ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²≀C₂.₁D₇ = C₂⁴⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²≀C₂	56	4	C2^2wrC2.1D7	448,93
C₂²≀C₂.₂D₇ = C₂⁴.₃₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²≀C₂	112		C2^2wrC2.2D7	448,1040

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