Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=Dic₇

Direct product G=N×Q with N=C₄⋊C₄ and Q=Dic₇

		d	ρ	Label	ID
C₄⋊C₄×Dic₇		448		C4:C4xDic7	448,509

Semidirect products G=N:Q with N=C₄⋊C₄ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁Dic₇ = (D₄×C₁₄)⋊C₄	φ: Dic₇/C₇ → C₄ ⊆ Out C₄⋊C₄	112		C4:C4:1Dic7	448,94
C₄⋊C₄⋊₂Dic₇ = C₄⋊C₄⋊Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Out C₄⋊C₄	112		C4:C4:2Dic7	448,95
C₄⋊C₄⋊₃Dic₇ = C₂₈.C₄²	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	448		C4:C4:3Dic7	448,86
C₄⋊C₄⋊₄Dic₇ = C₂₈.₂C₄²	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:4Dic7	448,89
C₄⋊C₄⋊₅Dic₇ = C₄⋊C₄⋊₅Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	448		C4:C4:5Dic7	448,515
C₄⋊C₄⋊₆Dic₇ = C₄⋊(C₄⋊Dic₇)	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	448		C4:C4:6Dic7	448,519

Non-split extensions G=N.Q with N=C₄⋊C₄ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁Dic₇ = C₄².₈D₁₄	φ: Dic₇/C₇ → C₄ ⊆ Out C₄⋊C₄	448		C4:C4.1Dic7	448,100
C₄⋊C₄.₂Dic₇ = C₂₈.₁₀D₈	φ: Dic₇/C₇ → C₄ ⊆ Out C₄⋊C₄	448		C4:C4.2Dic7	448,104
C₄⋊C₄.₃Dic₇ = C₂₈.₅₇D₈	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.3Dic7	448,91
C₄⋊C₄.₄Dic₇ = C₂₈.₂₆Q₁₆	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	448		C4:C4.4Dic7	448,92
C₄⋊C₄.₅Dic₇ = C₄².₄₃D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.5Dic7	448,533
C₄⋊C₄.₆Dic₇ = C₄².₁₈₇D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.6Dic7	448,534
C₄⋊C₄.₇Dic₇ = C₄².₄₇D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.7Dic7	448,545
C₄⋊C₄.₈Dic₇ = C₂₈⋊₃M₄(2)	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.8Dic7	448,546
C₄⋊C₄.₉Dic₇ = C₄².₂₁₀D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄⋊C₄	448		C4:C4.9Dic7	448,558
C₄⋊C₄.₁₀Dic₇ = C₂₈.₅C₄²	φ: trivial image	224		C4:C4.10Dic7	448,531
C₄⋊C₄.₁₁Dic₇ = D₄×C₇⋊C₈	φ: trivial image	224		C4:C4.11Dic7	448,544
C₄⋊C₄.₁₂Dic₇ = Q₈×C₇⋊C₈	φ: trivial image	448		C4:C4.12Dic7	448,557

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