Extensions 1→N→G→Q→1 with N=C₄×Dic₇ and Q=C₄

Direct product G=N×Q with N=C₄×Dic₇ and Q=C₄

		d	ρ	Label	ID
C₄²×Dic₇		448		C4^2xDic7	448,464

Semidirect products G=N:Q with N=C₄×Dic₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₇)⋊₁C₄ = C₂³.D₂₈	φ: C₄/C₁ → C₄ ⊆ Out C₄×Dic₇	112	8-	(C4xDic7):1C4	448,30
(C₄×Dic₇)⋊₂C₄ = C₂³.₂D₂₈	φ: C₄/C₁ → C₄ ⊆ Out C₄×Dic₇	56	8+	(C4xDic7):2C4	448,31
(C₄×Dic₇)⋊₃C₄ = C₄²⋊Dic₇	φ: C₄/C₁ → C₄ ⊆ Out C₄×Dic₇	112	4	(C4xDic7):3C4	448,88
(C₄×Dic₇)⋊₄C₄ = C₂³.₉D₂₈	φ: C₄/C₁ → C₄ ⊆ Out C₄×Dic₇	112	4	(C4xDic7):4C4	448,114
(C₄×Dic₇)⋊₅C₄ = C₂₈.₂C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):5C4	448,89
(C₄×Dic₇)⋊₆C₄ = C₂₈.₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):6C4	448,112
(C₄×Dic₇)⋊₇C₄ = C₄⋊C₄×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7):7C4	448,509
(C₄×Dic₇)⋊₈C₄ = (C₄×Dic₇)⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7):8C4	448,510
(C₄×Dic₇)⋊₉C₄ = (C₄×Dic₇)⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7):9C4	448,511
(C₄×Dic₇)⋊₁₀C₄ = Dic₇.₅C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7):10C4	448,182
(C₄×Dic₇)⋊₁₁C₄ = Dic₇⋊C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7):11C4	448,183
(C₄×Dic₇)⋊₁₂C₄ = C₇⋊(C₄²⋊₈C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7):12C4	448,184
(C₄×Dic₇)⋊₁₃C₄ = C₇⋊(C₄²⋊₅C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7):13C4	448,185
(C₄×Dic₇)⋊₁₄C₄ = C₄×Dic₇⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7):14C4	448,465
(C₄×Dic₇)⋊₁₅C₄ = C₄²⋊₄Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7):15C4	448,466

Non-split extensions G=N.Q with N=C₄×Dic₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₇).₁C₄ = (C₂×C₄).D₂₈	φ: C₄/C₁ → C₄ ⊆ Out C₄×Dic₇	112	8+	(C4xDic7).1C4	448,34
(C₄×Dic₇).₂C₄ = (C₂×Q₈).D₁₄	φ: C₄/C₁ → C₄ ⊆ Out C₄×Dic₇	112	8-	(C4xDic7).2C4	448,35
(C₄×Dic₇).₃C₄ = C₁₁₂⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₄×Dic₇	112	4	(C4xDic7).3C4	448,69
(C₄×Dic₇).₄C₄ = C₅₆.₉Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	112	4	(C4xDic7).4C4	448,68
(C₄×Dic₇).₅C₄ = D₇×C₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).5C4	448,366
(C₄×Dic₇).₆C₄ = C₄².₂₀₀D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).6C4	448,367
(C₄×Dic₇).₇C₄ = C₂₈⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).7C4	448,371
(C₄×Dic₇).₈C₄ = M₄(2)×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).8C4	448,651
(C₄×Dic₇).₉C₄ = Dic₇⋊₄M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).9C4	448,652
(C₄×Dic₇).₁₀C₄ = Dic₇⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7).10C4	448,58
(C₄×Dic₇).₁₁C₄ = C₁₁₂⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7).11C4	448,59
(C₄×Dic₇).₁₂C₄ = C₄².₂₈₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).12C4	448,219
(C₄×Dic₇).₁₃C₄ = C₄×C₈⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).13C4	448,221
(C₄×Dic₇).₁₄C₄ = D₇×C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).14C4	448,238
(C₄×Dic₇).₁₅C₄ = C₄².₁₈₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).15C4	448,239
(C₄×Dic₇).₁₆C₄ = Dic₇.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).16C4	448,241
(C₄×Dic₇).₁₇C₄ = Dic₇.₅M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).17C4	448,252
(C₄×Dic₇).₁₈C₄ = Dic₇.M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).18C4	448,253
(C₄×Dic₇).₁₉C₄ = C₄².₂₀₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).19C4	448,369
(C₄×Dic₇).₂₀C₄ = C₂×Dic₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7).20C4	448,633
(C₄×Dic₇).₂₁C₄ = C₂×C₅₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×Dic₇	448		(C4xDic7).21C4	448,634
(C₄×Dic₇).₂₂C₄ = C₁₆×Dic₇	φ: trivial image	448		(C4xDic7).22C4	448,57
(C₄×Dic₇).₂₃C₄ = D₇×C₄×C₈	φ: trivial image	224		(C4xDic7).23C4	448,218
(C₄×Dic₇).₂₄C₄ = C₂×C₈×Dic₇	φ: trivial image	448		(C4xDic7).24C4	448,632

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Extensions 1→N→G→Q→1 with N=C4×Dic7 and Q=C4

Extensions 1→N→G→Q→1 with N=C₄×Dic₇ and Q=C₄