Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₁₄

Direct product G=N×Q with N=M₄(2) and Q=C₁₄

		d	ρ	Label	ID
C₁₄×M₄(2)		112		C14xM4(2)	224,165

Semidirect products G=N:Q with N=M₄(2) and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁C₁₄ = C₇×C₈⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out M₄(2)	56	4	M4(2):1C14	224,171
M₄(2)⋊₂C₁₄ = C₇×C₈.C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out M₄(2)	112	4	M4(2):2C14	224,172
M₄(2)⋊₃C₁₄ = C₇×C₄.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out M₄(2)	56	4	M4(2):3C14	224,49
M₄(2)⋊₄C₁₄ = C₇×C₄≀C₂	φ: C₁₄/C₇ → C₂ ⊆ Out M₄(2)	56	2	M4(2):4C14	224,53
M₄(2)⋊₅C₁₄ = C₇×C₈○D₄	φ: trivial image	112	2	M4(2):5C14	224,166

Non-split extensions G=N.Q with N=M₄(2) and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₁₄ = C₇×C₄.₁₀D₄	φ: C₁₄/C₇ → C₂ ⊆ Out M₄(2)	112	4	M4(2).1C14	224,50
M₄(2).₂C₁₄ = C₇×C₈.C₄	φ: C₁₄/C₇ → C₂ ⊆ Out M₄(2)	112	2	M4(2).2C14	224,57

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