Extensions 1→N→G→Q→1 with N=C₂³×D₇ and Q=C₄

Direct product G=N×Q with N=C₂³×D₇ and Q=C₄

		d	ρ	Label	ID
D₇×C₂³×C₄		224		D7xC2^3xC4	448,1366

Semidirect products G=N:Q with N=C₂³×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₇)⋊₁C₄ = C₇⋊C₂≀C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂³×D₇	56	8+	(C2^3xD7):1C4	448,28
(C₂³×D₇)⋊₂C₄ = C₂³.₃D₂₈	φ: C₄/C₁ → C₄ ⊆ Out C₂³×D₇	56	8+	(C2^3xD7):2C4	448,32
(C₂³×D₇)⋊₃C₄ = D₇×C₂³⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂³×D₇	56	8+	(C2^3xD7):3C4	448,277
(C₂³×D₇)⋊₄C₄ = C₂×C₂³.₁D₁₄	φ: C₄/C₁ → C₄ ⊆ Out C₂³×D₇	112		(C2^3xD7):4C4	448,488
(C₂³×D₇)⋊₅C₄ = C₂³.₄₄D₂₈	φ: C₄/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7):5C4	448,489
(C₂³×D₇)⋊₆C₄ = C₂×D₇×C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7):6C4	448,937
(C₂³×D₇)⋊₇C₄ = C₂²×D₁₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7):7C4	448,1240

Non-split extensions G=N.Q with N=C₂³×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₇).₁C₄ = (C₂²×D₇)⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out C₂³×D₇	112		(C2^3xD7).1C4	448,25
(C₂³×D₇).₂C₄ = D₇×C₄.D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂³×D₇	56	8+	(C2^3xD7).2C4	448,278
(C₂³×D₇).₃C₄ = C₂×C₂₈.₄₆D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂³×D₇	112		(C2^3xD7).3C4	448,664
(C₂³×D₇).₄C₄ = D₇×C₂²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).4C4	448,258
(C₂³×D₇).₅C₄ = D₁₄⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).5C4	448,260
(C₂³×D₇).₆C₄ = C₂×D₁₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).6C4	448,642
(C₂³×D₇).₇C₄ = D₁₄⋊₆M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).7C4	448,660
(C₂³×D₇).₈C₄ = C₂²×C₈⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂³×D₇	224		(C2^3xD7).8C4	448,1190
(C₂³×D₇).₉C₄ = C₂×D₇×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).9C4	448,1196
(C₂³×D₇).₁₀C₄ = D₇×C₂²×C₈	φ: trivial image	224		(C2^3xD7).10C4	448,1189

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