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

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

		d	ρ	Label	ID
D₇×C₄⋊C₄		112		D7xC4:C4	224,86

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁D₇ = C₁₄.D₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:1D7	224,15
C₄⋊C₄⋊₂D₇ = D₁₄.₅D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:2D7	224,89
C₄⋊C₄⋊₃D₇ = C₄⋊D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:3D7	224,90
C₄⋊C₄⋊₄D₇ = D₁₄⋊Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:4D7	224,91
C₄⋊C₄⋊₅D₇ = D₁₄⋊₂Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:5D7	224,92
C₄⋊C₄⋊₆D₇ = C₄⋊C₄⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:6D7	224,93
C₄⋊C₄⋊₇D₇ = C₄⋊C₄⋊₇D₇	φ: trivial image	112		C4:C4:7D7	224,87
C₄⋊C₄⋊₈D₇ = D₂₈⋊C₄	φ: trivial image	112		C4:C4:8D7	224,88

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁D₇ = C₂₈.Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.1D7	224,13
C₄⋊C₄.₂D₇ = C₄.Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.2D7	224,14
C₄⋊C₄.₃D₇ = C₁₄.Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.3D7	224,16
C₄⋊C₄.₄D₇ = C₂₈⋊Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.4D7	224,83
C₄⋊C₄.₅D₇ = Dic₇.Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.5D7	224,84
C₄⋊C₄.₆D₇ = C₂₈.₃Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.6D7	224,85
C₄⋊C₄.₇D₇ = Dic₇⋊₃Q₈	φ: trivial image	224		C4:C4.7D7	224,82

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