Extensions 1→N→G→Q→1 with N=C₂×C₇⋊D₄ and Q=C₄

Direct product G=N×Q with N=C₂×C₇⋊D₄ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×C₇⋊D₄		224		C2xC4xC7:D4	448,1241

Semidirect products G=N:Q with N=C₂×C₇⋊D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊D₄)⋊₁C₄ = C₂³⋊C₄⋊₅D₇	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₇⋊D₄	112	8-	(C2xC7:D4):1C4	448,274
(C₂×C₇⋊D₄)⋊₂C₄ = D₇×C₂³⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₇⋊D₄	56	8+	(C2xC7:D4):2C4	448,277
(C₂×C₇⋊D₄)⋊₃C₄ = C₂×C₂³.₁D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	112		(C2xC7:D4):3C4	448,488
(C₂×C₇⋊D₄)⋊₄C₄ = C₂⁴.₁₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4):4C4	448,490
(C₂×C₇⋊D₄)⋊₅C₄ = C₂⁴.₁₃D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4):5C4	448,491
(C₂×C₇⋊D₄)⋊₆C₄ = C₂³.₄₅D₂₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4):6C4	448,492
(C₂×C₇⋊D₄)⋊₇C₄ = C₂³.₂₈D₂₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4):7C4	448,747
(C₂×C₇⋊D₄)⋊₈C₄ = C₂×Dic₇⋊₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4):8C4	448,938
(C₂×C₇⋊D₄)⋊₉C₄ = C₂⁴.₂₄D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	112		(C2xC7:D4):9C4	448,939

Non-split extensions G=N.Q with N=C₂×C₇⋊D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊D₄).₁C₄ = D₇×C₄.D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₇⋊D₄	56	8+	(C2xC7:D4).1C4	448,278
(C₂×C₇⋊D₄).₂C₄ = M₄(2).₁₉D₁₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₇⋊D₄	112	8-	(C2xC7:D4).2C4	448,279
(C₂×C₇⋊D₄).₃C₄ = C₇⋊D₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).3C4	448,259
(C₂×C₇⋊D₄).₄C₄ = D₁₄⋊C₈⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).4C4	448,261
(C₂×C₇⋊D₄).₅C₄ = D₁₄⋊₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).5C4	448,262
(C₂×C₇⋊D₄).₆C₄ = Dic₇⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).6C4	448,263
(C₂×C₇⋊D₄).₇C₄ = C₇⋊C₈⋊₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).7C4	448,264
(C₂×C₇⋊D₄).₈C₄ = (C₂²×C₈)⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).8C4	448,644
(C₂×C₇⋊D₄).₉C₄ = C₅₆⋊₃₂D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).9C4	448,645
(C₂×C₇⋊D₄).₁₀C₄ = C₅₆⋊D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).10C4	448,661
(C₂×C₇⋊D₄).₁₁C₄ = C₅₆⋊₁₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).11C4	448,662
(C₂×C₇⋊D₄).₁₂C₄ = (C₂×D₂₈).₁₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).12C4	448,663
(C₂×C₇⋊D₄).₁₃C₄ = M₄(2).₃₁D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	112	4	(C2xC7:D4).13C4	448,666
(C₂×C₇⋊D₄).₁₄C₄ = C₂×D₂₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	224		(C2xC7:D4).14C4	448,1197
(C₂×C₇⋊D₄).₁₅C₄ = C₂₈.₇₀C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₇⋊D₄	112	4	(C2xC7:D4).15C4	448,1198
(C₂×C₇⋊D₄).₁₆C₄ = C₈×C₇⋊D₄	φ: trivial image	224		(C2xC7:D4).16C4	448,643
(C₂×C₇⋊D₄).₁₇C₄ = C₂×D₂₈.₂C₄	φ: trivial image	224		(C2xC7:D4).17C4	448,1191

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