Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₂×C₁₄

Direct product G=N×Q with N=M₄(2) and Q=C₂×C₁₄

		d	ρ	Label	ID
M₄(2)×C₂×C₁₄		224		M4(2)xC2xC14	448,1349

Semidirect products G=N:Q with N=M₄(2) and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁(C₂×C₁₄) = C₇×D₄⋊₄D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out M₄(2)	56	4	M4(2):1(C2xC14)	448,861
M₄(2)⋊₂(C₂×C₁₄) = C₇×D₄.₉D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out M₄(2)	112	4	M4(2):2(C2xC14)	448,863
M₄(2)⋊₃(C₂×C₁₄) = C₁₄×C₈⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112		M4(2):3(C2xC14)	448,1356
M₄(2)⋊₄(C₂×C₁₄) = C₁₄×C₈.C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2):4(C2xC14)	448,1357
M₄(2)⋊₅(C₂×C₁₄) = C₇×D₈⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2):5(C2xC14)	448,1358
M₄(2)⋊₆(C₂×C₁₄) = C₇×D₄○D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2):6(C2xC14)	448,1359
M₄(2)⋊₇(C₂×C₁₄) = C₇×D₄○SD₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2):7(C2xC14)	448,1360
M₄(2)⋊₈(C₂×C₁₄) = C₁₄×C₄.D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112		M4(2):8(C2xC14)	448,819
M₄(2)⋊₉(C₂×C₁₄) = C₁₄×C₄≀C₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112		M4(2):9(C2xC14)	448,828
M₄(2)⋊₁₀(C₂×C₁₄) = C₇×C₄²⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2):10(C2xC14)	448,829
M₄(2)⋊₁₁(C₂×C₁₄) = C₁₄×C₈○D₄	φ: trivial image	224		M4(2):11(C2xC14)	448,1350
M₄(2)⋊₁₂(C₂×C₁₄) = C₇×Q₈○M₄(2)	φ: trivial image	112	4	M4(2):12(C2xC14)	448,1351

Non-split extensions G=N.Q with N=M₄(2) and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁(C₂×C₁₄) = C₇×D₄.₈D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out M₄(2)	112	4	M4(2).1(C2xC14)	448,862
M₄(2).₂(C₂×C₁₄) = C₇×D₄.₁₀D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out M₄(2)	112	4	M4(2).2(C2xC14)	448,864
M₄(2).₃(C₂×C₁₄) = C₇×D₄.₃D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out M₄(2)	112	4	M4(2).3(C2xC14)	448,879
M₄(2).₄(C₂×C₁₄) = C₇×D₄.₄D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out M₄(2)	112	4	M4(2).4(C2xC14)	448,880
M₄(2).₅(C₂×C₁₄) = C₇×D₄.₅D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out M₄(2)	224	4	M4(2).5(C2xC14)	448,881
M₄(2).₆(C₂×C₁₄) = C₇×Q₈○D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	224	4	M4(2).6(C2xC14)	448,1361
M₄(2).₇(C₂×C₁₄) = C₁₄×C₄.₁₀D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2).7(C2xC14)	448,820
M₄(2).₈(C₂×C₁₄) = C₇×M₄(2).₈C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2).8(C2xC14)	448,821
M₄(2).₉(C₂×C₁₄) = C₁₄×C₈.C₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2).9(C2xC14)	448,837
M₄(2).₁₀(C₂×C₁₄) = C₇×M₄(2).C₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2).10(C2xC14)	448,838
M₄(2).₁₁(C₂×C₁₄) = C₇×C₈○D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112	2	M4(2).11(C2xC14)	448,851
M₄(2).₁₂(C₂×C₁₄) = C₇×C₈.₂₆D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2).12(C2xC14)	448,852

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁