Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=D₇

Direct product G=N×Q with N=C₂²⋊C₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₂²⋊C₄		56		D7xC2^2:C4	224,75

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁D₇ = C₂³.₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₄	56	4	C2^2:C4:1D7	224,12
C₂²⋊C₄⋊₂D₇ = C₂²⋊D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₄	56		C2^2:C4:2D7	224,77
C₂²⋊C₄⋊₃D₇ = D₁₄.D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4:3D7	224,78
C₂²⋊C₄⋊₄D₇ = D₁₄⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4:4D7	224,79
C₂²⋊C₄⋊₅D₇ = Dic₇.D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4:5D7	224,80
C₂²⋊C₄⋊₆D₇ = C₂².D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4:6D7	224,81
C₂²⋊C₄⋊₇D₇ = Dic₇⋊₄D₄	φ: trivial image	112		C2^2:C4:7D7	224,76

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁D₇ = C₂²⋊Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4.1D7	224,73
C₂²⋊C₄.₂D₇ = C₂³.D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4.2D7	224,74
C₂²⋊C₄.₃D₇ = C₂³.₁₁D₁₄	φ: trivial image	112		C2^2:C4.3D7	224,72

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