Extensions 1→N→G→Q→1 with N=C₇⋊D₄ and Q=C₂²

Direct product G=N×Q with N=C₇⋊D₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₇⋊D₄		112		C2^2xC7:D4	224,188

Semidirect products G=N:Q with N=C₇⋊D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊D₄⋊₁C₂² = C₂×D₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊D₄	56		C7:D4:1C2^2	224,178
C₇⋊D₄⋊₂C₂² = C₂×D₄⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊D₄	112		C7:D4:2C2^2	224,179
C₇⋊D₄⋊₃C₂² = D₄⋊₆D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊D₄	56	4	C7:D4:3C2^2	224,180
C₇⋊D₄⋊₄C₂² = D₇×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊D₄	56	4	C7:D4:4C2^2	224,184
C₇⋊D₄⋊₅C₂² = D₄⋊₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊D₄	56	4+	C7:D4:5C2^2	224,185
C₇⋊D₄⋊₆C₂² = C₂×C₄○D₂₈	φ: trivial image	112		C7:D4:6C2^2	224,177

Non-split extensions G=N.Q with N=C₇⋊D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊D₄.C₂² = D₄.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊D₄	112	4-	C7:D4.C2^2	224,186
C₇⋊D₄.₂C₂² = Q₈.₁₀D₁₄	φ: trivial image	112	4	C7:D4.2C2^2	224,183

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