Extensions 1→N→G→Q→1 with N=C₂×C₄×D₇ and Q=C₄

Direct product G=N×Q with N=C₂×C₄×D₇ and Q=C₄

		d	ρ	Label	ID
D₇×C₂×C₄²		224		D7xC2xC4^2	448,924

Semidirect products G=N:Q with N=C₂×C₄×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄×D₇)⋊₁C₄ = C₂³⋊C₄⋊₅D₇	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₄×D₇	112	8-	(C2xC4xD7):1C4	448,274
(C₂×C₄×D₇)⋊₂C₄ = D₇×C₂³⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₄×D₇	56	8+	(C2xC4xD7):2C4	448,277
(C₂×C₄×D₇)⋊₃C₄ = (C₂×D₂₈)⋊₁₃C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₄×D₇	112	4	(C2xC4xD7):3C4	448,540
(C₂×C₄×D₇)⋊₄C₄ = C₄⋊(D₁₄⋊C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7):4C4	448,521
(C₂×C₄×D₇)⋊₅C₄ = C₂×D₇×C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7):5C4	448,954
(C₂×C₄×D₇)⋊₆C₄ = C₂×C₄⋊C₄⋊₇D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7):6C4	448,955
(C₂×C₄×D₇)⋊₇C₄ = D₇×C₄²⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):7C4	448,973
(C₂×C₄×D₇)⋊₈C₄ = D₇×C₂.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7):8C4	448,197
(C₂×C₄×D₇)⋊₉C₄ = C₂².₅₈(D₄×D₇)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7):9C4	448,198
(C₂×C₄×D₇)⋊₁₀C₄ = D₁₄⋊C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7):10C4	448,200
(C₂×C₄×D₇)⋊₁₁C₄ = D₁₄⋊(C₄⋊C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7):11C4	448,201
(C₂×C₄×D₇)⋊₁₂C₄ = C₄×D₁₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7):12C4	448,472
(C₂×C₄×D₇)⋊₁₃C₄ = C₂×C₄²⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7):13C4	448,925

Non-split extensions G=N.Q with N=C₂×C₄×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄×D₇).₁C₄ = M₅(2)⋊D₇	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₄×D₇	112	4	(C2xC4xD7).1C4	448,71
(C₂×C₄×D₇).₂C₄ = D₇×C₄.₁₀D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₄×D₇	112	8-	(C2xC4xD7).2C4	448,284
(C₂×C₄×D₇).₃C₄ = M₄(2).₂₁D₁₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₄×D₇	112	8+	(C2xC4xD7).3C4	448,285
(C₂×C₄×D₇).₄C₄ = M₄(2).₃₁D₁₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₄×D₇	112	4	(C2xC4xD7).4C4	448,666
(C₂×C₄×D₇).₅C₄ = D₇×C₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).5C4	448,366
(C₂×C₄×D₇).₆C₄ = C₄².₂₀₀D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).6C4	448,367
(C₂×C₄×D₇).₇C₄ = C₂₈⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).7C4	448,371
(C₂×C₄×D₇).₈C₄ = D₇×M₅(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	112	4	(C2xC4xD7).8C4	448,440
(C₂×C₄×D₇).₉C₄ = D₁₄⋊₆M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).9C4	448,660
(C₂×C₄×D₇).₁₀C₄ = C₂×D₇×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).10C4	448,1196
(C₂×C₄×D₇).₁₁C₄ = D₁₄⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).11C4	448,64
(C₂×C₄×D₇).₁₂C₄ = C₄².₂₈₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).12C4	448,219
(C₂×C₄×D₇).₁₃C₄ = C₄×C₈⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).13C4	448,221
(C₂×C₄×D₇).₁₄C₄ = D₇×C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).14C4	448,238
(C₂×C₄×D₇).₁₅C₄ = C₄².₁₈₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).15C4	448,239
(C₂×C₄×D₇).₁₆C₄ = Dic₇.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).16C4	448,241
(C₂×C₄×D₇).₁₇C₄ = D₇×C₂²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).17C4	448,258
(C₂×C₄×D₇).₁₈C₄ = D₁₄⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).18C4	448,260
(C₂×C₄×D₇).₁₉C₄ = C₄².₂₀₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).19C4	448,369
(C₂×C₄×D₇).₂₀C₄ = C₂×C₁₆⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).20C4	448,434
(C₂×C₄×D₇).₂₁C₄ = C₂×D₁₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).21C4	448,642
(C₂×C₄×D₇).₂₂C₄ = C₂²×C₈⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₄×D₇	224		(C2xC4xD7).22C4	448,1190
(C₂×C₄×D₇).₂₃C₄ = D₇×C₄×C₈	φ: trivial image	224		(C2xC4xD7).23C4	448,218
(C₂×C₄×D₇).₂₄C₄ = D₇×C₂×C₁₆	φ: trivial image	224		(C2xC4xD7).24C4	448,433
(C₂×C₄×D₇).₂₅C₄ = D₇×C₂²×C₈	φ: trivial image	224		(C2xC4xD7).25C4	448,1189

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Extensions 1→N→G→Q→1 with N=C2×C4×D7 and Q=C4

Extensions 1→N→G→Q→1 with N=C₂×C₄×D₇ and Q=C₄