Extensions 1→N→G→Q→1 with N=M₅(2) and Q=C₁₄

Direct product G=N×Q with N=M₅(2) and Q=C₁₄

		d	ρ	Label	ID
C₁₄×M₅(2)		224		C14xM5(2)	448,911

Semidirect products G=N:Q with N=M₅(2) and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2)⋊₁C₁₄ = C₇×C₁₆⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2):1C14	448,917
M₅(2)⋊₂C₁₄ = C₇×Q₃₂⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Out M₅(2)	224	4	M5(2):2C14	448,918
M₅(2)⋊₃C₁₄ = C₇×C₂³.C₈	φ: C₁₄/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2):3C14	448,153
M₅(2)⋊₄C₁₄ = C₇×D₄.C₈	φ: C₁₄/C₇ → C₂ ⊆ Out M₅(2)	224	2	M5(2):4C14	448,154
M₅(2)⋊₅C₁₄ = C₇×D₈⋊₂C₄	φ: C₁₄/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2):5C14	448,164
M₅(2)⋊₆C₁₄ = C₇×M₅(2)⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2):6C14	448,165
M₅(2)⋊₇C₁₄ = C₇×D₄○C₁₆	φ: trivial image	224	2	M5(2):7C14	448,912

Non-split extensions G=N.Q with N=M₅(2) and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2).₁C₁₄ = C₇×C₈.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2).1C14	448,169
M₅(2).₂C₁₄ = C₇×C₁₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2).2C14	448,151
M₅(2).₃C₁₄ = C₇×C₈.₁₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out M₅(2)	224	4	M5(2).3C14	448,166
M₅(2).₄C₁₄ = C₇×C₈.C₈	φ: C₁₄/C₇ → C₂ ⊆ Out M₅(2)	112	2	M5(2).4C14	448,168

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