Extensions 1→N→G→Q→1 with N=C₇×C₈⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₇×C₈⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₈⋊C₄		448		C14xC8:C4	448,811

Semidirect products G=N:Q with N=C₇×C₈⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₈⋊C₄)⋊₁C₂ = D₅₆⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	112	4	(C7xC8:C4):1C2	448,251
(C₇×C₈⋊C₄)⋊₂C₂ = C₄².₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):2C2	448,244
(C₇×C₈⋊C₄)⋊₃C₂ = D₅₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):3C2	448,245
(C₇×C₈⋊C₄)⋊₄C₂ = C₈⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):4C2	448,246
(C₇×C₈⋊C₄)⋊₅C₂ = C₈.D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):5C2	448,249
(C₇×C₈⋊C₄)⋊₆C₂ = D₇×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):6C2	448,238
(C₇×C₈⋊C₄)⋊₇C₂ = C₈⋊₉D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):7C2	448,240
(C₇×C₈⋊C₄)⋊₈C₂ = Dic₇.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):8C2	448,241
(C₇×C₈⋊C₄)⋊₉C₂ = D₁₄.₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):9C2	448,242
(C₇×C₈⋊C₄)⋊₁₀C₂ = C₇×SD₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):10C2	448,848
(C₇×C₈⋊C₄)⋊₁₁C₂ = C₇×D₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):11C2	448,850
(C₇×C₈⋊C₄)⋊₁₂C₂ = C₇×C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	112	4	(C7xC8:C4):12C2	448,852
(C₇×C₈⋊C₄)⋊₁₃C₂ = C₇×C₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):13C2	448,904
(C₇×C₈⋊C₄)⋊₁₄C₂ = C₇×C₈.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):14C2	448,905
(C₇×C₈⋊C₄)⋊₁₅C₂ = C₄².D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):15C2	448,21
(C₇×C₈⋊C₄)⋊₁₆C₂ = C₇×C₄².C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):16C2	448,133
(C₇×C₈⋊C₄)⋊₁₇C₂ = C₄².₁₈₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):17C2	448,239
(C₇×C₈⋊C₄)⋊₁₈C₂ = C₄².₁₈₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):18C2	448,243
(C₇×C₈⋊C₄)⋊₁₉C₂ = C₄².₁₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):19C2	448,247
(C₇×C₈⋊C₄)⋊₂₀C₂ = C₄².₂₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):20C2	448,248
(C₇×C₈⋊C₄)⋊₂₁C₂ = C₇×C₄².₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):21C2	448,840
(C₇×C₈⋊C₄)⋊₂₂C₂ = C₇×C₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):22C2	448,841
(C₇×C₈⋊C₄)⋊₂₃C₂ = C₇×C₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):23C2	448,843
(C₇×C₈⋊C₄)⋊₂₄C₂ = C₇×C₄².₂₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):24C2	448,897
(C₇×C₈⋊C₄)⋊₂₅C₂ = C₇×C₄².₂₉C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	224		(C7xC8:C4):25C2	448,898
(C₇×C₈⋊C₄)⋊₂₆C₂ = M₄(2)×C₂₈	φ: trivial image	224		(C7xC8:C4):26C2	448,812
(C₇×C₈⋊C₄)⋊₂₇C₂ = C₇×C₈○₂M₄(2)	φ: trivial image	224		(C7xC8:C4):27C2	448,813

Non-split extensions G=N.Q with N=C₇×C₈⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₈⋊C₄).₁C₂ = C₈⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	448		(C7xC8:C4).1C2	448,236
(C₇×C₈⋊C₄).₂C₂ = Dic₂₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	448		(C7xC8:C4).2C2	448,250
(C₇×C₈⋊C₄).₃C₂ = C₂₈.₁₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	112	4	(C7xC8:C4).3C2	448,23
(C₇×C₈⋊C₄).₄C₂ = C₅₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	448		(C7xC8:C4).4C2	448,235
(C₇×C₈⋊C₄).₅C₂ = C₇×Q₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	448		(C7xC8:C4).5C2	448,849
(C₇×C₈⋊C₄).₆C₂ = C₇×C₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	448		(C7xC8:C4).6C2	448,909
(C₇×C₈⋊C₄).₇C₂ = C₄².₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	448		(C7xC8:C4).7C2	448,22
(C₇×C₈⋊C₄).₈C₂ = C₇×C₄².₂C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	448		(C7xC8:C4).8C2	448,134
(C₇×C₈⋊C₄).₉C₂ = C₇×C₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	112	4	(C7xC8:C4).9C2	448,151
(C₇×C₈⋊C₄).₁₀C₂ = C₄².₁₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	448		(C7xC8:C4).10C2	448,237
(C₇×C₈⋊C₄).₁₁C₂ = C₇×C₈⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	448		(C7xC8:C4).11C2	448,854
(C₇×C₈⋊C₄).₁₂C₂ = C₇×C₄².₃₀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈⋊C₄	448		(C7xC8:C4).12C2	448,899

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Extensions 1→N→G→Q→1 with N=C7×C8⋊C4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₇×C₈⋊C₄ and Q=C₂