Extensions 1→N→G→Q→1 with N=C₂²×D₄ and Q=D₇

Direct product G=N×Q with N=C₂²×D₄ and Q=D₇

		d	ρ	Label	ID
C₂²×D₄×D₇		112		C2^2xD4xD7	448,1369

Semidirect products G=N:Q with N=C₂²×D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄)⋊₁D₇ = (C₂×C₁₄)⋊₈D₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):1D7	448,751
(C₂²×D₄)⋊₂D₇ = C₂⁴.₂₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4):2D7	448,757
(C₂²×D₄)⋊₃D₇ = C₂²×D₄⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4):3D7	448,1245
(C₂²×D₄)⋊₄D₇ = C₂×D₄.D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):4D7	448,1246
(C₂²×D₄)⋊₅D₇ = C₂×C₂³⋊D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):5D7	448,1252
(C₂²×D₄)⋊₆D₇ = C₂×C₂₈⋊₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4):6D7	448,1253
(C₂²×D₄)⋊₇D₇ = D₄×C₇⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):7D7	448,1254
(C₂²×D₄)⋊₈D₇ = C₂×Dic₇⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4):8D7	448,1255
(C₂²×D₄)⋊₉D₇ = C₂×C₂₈⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4):9D7	448,1256
(C₂²×D₄)⋊₁₀D₇ = C₂⁴⋊₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):10D7	448,1257
(C₂²×D₄)⋊₁₁D₇ = C₂⁴.₄₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):11D7	448,1258
(C₂²×D₄)⋊₁₂D₇ = C₂⁴.₄₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):12D7	448,1259
(C₂²×D₄)⋊₁₃D₇ = C₂×D₄⋊₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):13D7	448,1371
(C₂²×D₄)⋊₁₄D₇ = C₂²×D₄⋊₂D₇	φ: trivial image	224		(C2^2xD4):14D7	448,1370

Non-split extensions G=N.Q with N=C₂²×D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄).₁D₇ = C₂×D₄⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).1D7	448,748
(C₂²×D₄).₂D₇ = (D₄×C₁₄)⋊₆C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4).2D7	448,749
(C₂²×D₄).₃D₇ = C₂×C₂₈.D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4).3D7	448,750
(C₂²×D₄).₄D₇ = (C₇×D₄).₃₁D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4).4D7	448,752
(C₂²×D₄).₅D₇ = C₂×C₂³⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4).5D7	448,753
(C₂²×D₄).₆D₇ = C₂⁴.₁₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).6D7	448,754
(C₂²×D₄).₇D₇ = C₂⁴.₁₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).7D7	448,755
(C₂²×D₄).₈D₇ = C₂⁴.₂₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).8D7	448,756
(C₂²×D₄).₉D₇ = C₂²×D₄.D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).9D7	448,1247
(C₂²×D₄).₁₀D₇ = C₂×C₂³.₁₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).10D7	448,1249
(C₂²×D₄).₁₁D₇ = C₂×C₂₈.₁₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).11D7	448,1250
(C₂²×D₄).₁₂D₇ = C₂⁴.₃₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4).12D7	448,1251
(C₂²×D₄).₁₃D₇ = C₂×D₄×Dic₇	φ: trivial image	224		(C2^2xD4).13D7	448,1248

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