Extensions 1→N→G→Q→1 with N=M₄(2) and Q=D₇

Direct product G=N×Q with N=M₄(2) and Q=D₇

		d	ρ	Label	ID
D₇×M₄(2)		56	4	D7xM4(2)	224,101

Semidirect products G=N:Q with N=M₄(2) and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁D₇ = C₈⋊D₁₄	φ: D₇/C₇ → C₂ ⊆ Out M₄(2)	56	4+	M4(2):1D7	224,103
M₄(2)⋊₂D₇ = C₈.D₁₄	φ: D₇/C₇ → C₂ ⊆ Out M₄(2)	112	4-	M4(2):2D7	224,104
M₄(2)⋊₃D₇ = C₂₈.₄₆D₄	φ: D₇/C₇ → C₂ ⊆ Out M₄(2)	56	4+	M4(2):3D7	224,29
M₄(2)⋊₄D₇ = D₂₈⋊₄C₄	φ: D₇/C₇ → C₂ ⊆ Out M₄(2)	56	4	M4(2):4D7	224,31
M₄(2)⋊₅D₇ = D₂₈.C₄	φ: trivial image	112	4	M4(2):5D7	224,102

Non-split extensions G=N.Q with N=M₄(2) and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁D₇ = C₂₈.₅₃D₄	φ: D₇/C₇ → C₂ ⊆ Out M₄(2)	112	4	M4(2).1D7	224,28
M₄(2).₂D₇ = C₄.₁₂D₂₈	φ: D₇/C₇ → C₂ ⊆ Out M₄(2)	112	4-	M4(2).2D7	224,30

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