Extensions 1→N→G→Q→1 with N=C₇:D₄ and Q=C₂³

Direct product G=NxQ with N=C₇:D₄ and Q=C₂³

		d	ρ	Label	ID
C₂³xC₇:D₄		224		C2^3xC7:D4	448,1384

Semidirect products G=N:Q with N=C₇:D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₇:D₄:₁C₂³ = C₂²xD₄xD₇	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	112		C7:D4:1C2^3	448,1369
C₇:D₄:₂C₂³ = C₂²xD₄:₂D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	224		C7:D4:2C2^3	448,1370
C₇:D₄:₃C₂³ = C₂xD₄:₆D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	112		C7:D4:3C2^3	448,1371
C₇:D₄:₄C₂³ = C₂xD₇xC₄oD₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	112		C7:D4:4C2^3	448,1375
C₇:D₄:₅C₂³ = C₂xD₄:₈D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	112		C7:D4:5C2^3	448,1376
C₇:D₄:₆C₂³ = D₇x2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	56	8+	C7:D4:6C2^3	448,1379
C₇:D₄:₇C₂³ = C₂²xC₄oD₂₈	φ: trivial image	224		C7:D4:7C2^3	448,1368

Non-split extensions G=N.Q with N=C₇:D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₇:D₄.₁C₂³ = C₂xD₄.₁₀D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	224		C7:D4.1C2^3	448,1377
C₇:D₄.₂C₂³ = C₁₄.C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	112	4	C7:D4.2C2^3	448,1378
C₇:D₄.₃C₂³ = D₁₄.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	112	8-	C7:D4.3C2^3	448,1380
C₇:D₄.₄C₂³ = D₇x2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	112	8-	C7:D4.4C2^3	448,1381
C₇:D₄.₅C₂³ = D₂₈.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₇:D₄	112	8+	C7:D4.5C2^3	448,1382
C₇:D₄.₆C₂³ = C₂xQ₈.₁₀D₁₄	φ: trivial image	224		C7:D4.6C2^3	448,1374

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