Extensions 1→N→G→Q→1 with N=D₇×C₂×C₈ and Q=C₂

Direct product G=N×Q with N=D₇×C₂×C₈ and Q=C₂

		d	ρ	Label	ID
D₇×C₂²×C₈		224		D7xC2^2xC8	448,1189

Semidirect products G=N:Q with N=D₇×C₂×C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₂×C₈)⋊₁C₂ = D₇×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	112	4	(D7xC2xC8):1C2	448,1220
(D₇×C₂×C₈)⋊₂C₂ = C₈⋊₇D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):2C2	448,417
(D₇×C₂×C₈)⋊₃C₂ = C₅₆⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):3C2	448,691
(D₇×C₂×C₈)⋊₄C₂ = C₂×D₇×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	112		(D7xC2xC8):4C2	448,1207
(D₇×C₂×C₈)⋊₅C₂ = C₂×D₈⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):5C2	448,1209
(D₇×C₂×C₈)⋊₆C₂ = C₂×Q₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):6C2	448,1218
(D₇×C₂×C₈)⋊₇C₂ = C₈⋊₈D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):7C2	448,398
(D₇×C₂×C₈)⋊₈C₂ = C₅₆⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):8C2	448,705
(D₇×C₂×C₈)⋊₉C₂ = C₂×D₇×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	112		(D7xC2xC8):9C2	448,1211
(D₇×C₂×C₈)⋊₁₀C₂ = C₂×SD₁₆⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):10C2	448,1214
(D₇×C₂×C₈)⋊₁₁C₂ = C₈×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):11C2	448,220
(D₇×C₂×C₈)⋊₁₂C₂ = D₇×C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	112		(D7xC2xC8):12C2	448,258
(D₇×C₂×C₈)⋊₁₃C₂ = C₇⋊D₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):13C2	448,259
(D₇×C₂×C₈)⋊₁₄C₂ = D₁₄⋊C₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):14C2	448,261
(D₇×C₂×C₈)⋊₁₅C₂ = D₁₄⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):15C2	448,262
(D₇×C₂×C₈)⋊₁₆C₂ = D₇×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	112		(D7xC2xC8):16C2	448,303
(D₇×C₂×C₈)⋊₁₇C₂ = D₄⋊₂D₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):17C2	448,306
(D₇×C₂×C₈)⋊₁₈C₂ = D₁₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):18C2	448,309
(D₇×C₂×C₈)⋊₁₉C₂ = D₁₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):19C2	448,312
(D₇×C₂×C₈)⋊₂₀C₂ = Q₈⋊₂D₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):20C2	448,338
(D₇×C₂×C₈)⋊₂₁C₂ = D₁₄⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):21C2	448,341
(D₇×C₂×C₈)⋊₂₂C₂ = D₂₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):22C2	448,368
(D₇×C₂×C₈)⋊₂₃C₂ = D₁₄⋊₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):23C2	448,370
(D₇×C₂×C₈)⋊₂₄C₂ = C₈×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):24C2	448,643
(D₇×C₂×C₈)⋊₂₅C₂ = C₂×D₂₈.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):25C2	448,1191
(D₇×C₂×C₈)⋊₂₆C₂ = C₈⋊₉D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):26C2	448,240
(D₇×C₂×C₈)⋊₂₇C₂ = C₅₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):27C2	448,661
(D₇×C₂×C₈)⋊₂₈C₂ = C₂×D₇×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	112		(D7xC2xC8):28C2	448,1196
(D₇×C₂×C₈)⋊₂₉C₂ = C₂×D₂₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8):29C2	448,1197
(D₇×C₂×C₈)⋊₃₀C₂ = D₇×C₈○D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	112	4	(D7xC2xC8):30C2	448,1202

Non-split extensions G=N.Q with N=D₇×C₂×C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₂×C₈).₁C₂ = D₇×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	112	4	(D7xC2xC8).1C2	448,426
(D₇×C₂×C₈).₂C₂ = D₇×C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).2C2	448,413
(D₇×C₂×C₈).₃C₂ = C₈.₂₇(C₄×D₇)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).3C2	448,414
(D₇×C₂×C₈).₄C₂ = D₁₄⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).4C2	448,421
(D₇×C₂×C₈).₅C₂ = D₁₄⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).5C2	448,722
(D₇×C₂×C₈).₆C₂ = C₂×D₇×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).6C2	448,1216
(D₇×C₂×C₈).₇C₂ = D₇×C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).7C2	448,393
(D₇×C₂×C₈).₈C₂ = (C₈×D₇)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).8C2	448,394
(D₇×C₂×C₈).₉C₂ = D₁₄⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).9C2	448,64
(D₇×C₂×C₈).₁₀C₂ = D₁₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).10C2	448,223
(D₇×C₂×C₈).₁₁C₂ = D₇×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).11C2	448,335
(D₇×C₂×C₈).₁₂C₂ = D₁₄⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).12C2	448,347
(D₇×C₂×C₈).₁₃C₂ = D₇×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).13C2	448,366
(D₇×C₂×C₈).₁₄C₂ = C₄².₃₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).14C2	448,373
(D₇×C₂×C₈).₁₅C₂ = C₂×C₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).15C2	448,434
(D₇×C₂×C₈).₁₆C₂ = D₇×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).16C2	448,238
(D₇×C₂×C₈).₁₇C₂ = D₁₄.₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	224		(D7xC2xC8).17C2	448,242
(D₇×C₂×C₈).₁₈C₂ = D₇×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂×C₈	112	4	(D7xC2xC8).18C2	448,440
(D₇×C₂×C₈).₁₉C₂ = D₇×C₄×C₈	φ: trivial image	224		(D7xC2xC8).19C2	448,218
(D₇×C₂×C₈).₂₀C₂ = D₇×C₂×C₁₆	φ: trivial image	224		(D7xC2xC8).20C2	448,433

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Extensions 1→N→G→Q→1 with N=D7×C2×C8 and Q=C2

Extensions 1→N→G→Q→1 with N=D₇×C₂×C₈ and Q=C₂