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

Direct product G=N×Q with N=C₇⋊D₄ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₇⋊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 = C₂²×D₄×D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₇⋊D₄	112		C7:D4:1C2^3	448,1369
C₇⋊D₄⋊₂C₂³ = C₂²×D₄⋊₂D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₇⋊D₄	224		C7:D4:2C2^3	448,1370
C₇⋊D₄⋊₃C₂³ = C₂×D₄⋊₆D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇⋊D₄	112		C7:D4:3C2^3	448,1371
C₇⋊D₄⋊₄C₂³ = C₂×D₇×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇⋊D₄	112		C7:D4:4C2^3	448,1375
C₇⋊D₄⋊₅C₂³ = C₂×D₄⋊₈D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇⋊D₄	112		C7:D4:5C2^3	448,1376
C₇⋊D₄⋊₆C₂³ = D₇×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₇⋊D₄	56	8+	C7:D4:6C2^3	448,1379
C₇⋊D₄⋊₇C₂³ = C₂²×C₄○D₂₈	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 = C₂×D₄.₁₀D₁₄	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 = D₇×2_-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 = C₂×Q₈.₁₀D₁₄	φ: trivial image	224		C7:D4.6C2^3	448,1374

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