Extensions 1→N→G→Q→1 with N=C₂³xC₄ and Q=D₇

Direct product G=NxQ with N=C₂³xC₄ and Q=D₇

		d	ρ	Label	ID
D₇xC₂³xC₄		224		D7xC2^3xC4	448,1366

Semidirect products G=N:Q with N=C₂³xC₄ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₄):₁D₇ = C₂³.₂₈D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4):1D7	448,747
(C₂³xC₄):₂D₇ = C₂²xD₁₄:C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4):2D7	448,1240
(C₂³xC₄):₃D₇ = C₂xC₄xC₇:D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4):3D7	448,1241
(C₂³xC₄):₄D₇ = C₂xC₂³.₂₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4):4D7	448,1242
(C₂³xC₄):₅D₇ = C₂xC₂₈:₇D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4):5D7	448,1243
(C₂³xC₄):₆D₇ = C₂⁴.₇₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	112		(C2^3xC4):6D7	448,1244
(C₂³xC₄):₇D₇ = C₂³xD₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4):7D7	448,1367
(C₂³xC₄):₈D₇ = C₂²xC₄oD₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4):8D7	448,1368

Non-split extensions G=N.Q with N=C₂³xC₄ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₄).₁D₇ = C₂xC₂₈.₅₅D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4).1D7	448,740
(C₂³xC₄).₂D₇ = C₂xC₁₄.C₄²	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	448		(C2^3xC4).2D7	448,742
(C₂³xC₄).₃D₇ = C₄xC₂³.D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4).3D7	448,743
(C₂³xC₄).₄D₇ = C₂⁴.₆₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4).4D7	448,744
(C₂³xC₄).₅D₇ = C₂⁴.₆₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4).5D7	448,745
(C₂³xC₄).₆D₇ = C₂²xDic₇:C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	448		(C2^3xC4).6D7	448,1236
(C₂³xC₄).₇D₇ = C₂⁴.₄Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	112		(C2^3xC4).7D7	448,741
(C₂³xC₄).₈D₇ = C₂³.₂₇D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4).8D7	448,746
(C₂³xC₄).₉D₇ = C₂²xC₄.Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4).9D7	448,1234
(C₂³xC₄).₁₀D₇ = C₂xC₂₈.₄₈D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4).10D7	448,1237
(C₂³xC₄).₁₁D₇ = C₂²xC₄:Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	448		(C2^3xC4).11D7	448,1238
(C₂³xC₄).₁₂D₇ = C₂xC₂³.₂₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	224		(C2^3xC4).12D7	448,1239
(C₂³xC₄).₁₃D₇ = C₂³xDic₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³xC₄	448		(C2^3xC4).13D7	448,1365
(C₂³xC₄).₁₄D₇ = C₂³xC₇:C₈	central extension (φ=1)	448		(C2^3xC4).14D7	448,1233
(C₂³xC₄).₁₅D₇ = C₂²xC₄xDic₇	central extension (φ=1)	448		(C2^3xC4).15D7	448,1235

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