Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=Dic₇

Direct product G=N×Q with N=C₂²⋊C₄ and Q=Dic₇

		d	ρ	Label	ID
C₂²⋊C₄×Dic₇		224		C2^2:C4xDic7	448,475

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁Dic₇ = C₂⁴⋊Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Out C₂²⋊C₄	56	4	C2^2:C4:1Dic7	448,93
C₂²⋊C₄⋊₂Dic₇ = (C₂²×C₂₈)⋊C₄	φ: Dic₇/C₇ → C₄ ⊆ Out C₂²⋊C₄	112	4	C2^2:C4:2Dic7	448,96
C₂²⋊C₄⋊₃Dic₇ = C₂⁴.₂D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4:3Dic7	448,84
C₂²⋊C₄⋊₄Dic₇ = C₂⁴.₄₇D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4:4Dic7	448,484
C₂²⋊C₄⋊₅Dic₇ = C₂⁴.₈D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4:5Dic7	448,485

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁Dic₇ = (C₂×C₂₈).Q₈	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	112	4	C2^2:C4.1Dic7	448,90
C₂²⋊C₄.₂Dic₇ = C₄².₄₃D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4.2Dic7	448,533
C₂²⋊C₄.₃Dic₇ = C₄².₁₈₇D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4.3Dic7	448,534
C₂²⋊C₄.₄Dic₇ = C₄².₄₇D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4.4Dic7	448,545
C₂²⋊C₄.₅Dic₇ = C₂₈⋊₃M₄(2)	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4.5Dic7	448,546
C₂²⋊C₄.₆Dic₇ = C₂₈.₅C₄²	φ: trivial image	224		C2^2:C4.6Dic7	448,531
C₂²⋊C₄.₇Dic₇ = D₄×C₇⋊C₈	φ: trivial image	224		C2^2:C4.7Dic7	448,544

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