Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=D₄

Direct product G=N×Q with N=C₃⋊D₄ and Q=D₄

		d	ρ	Label	ID
D₄×C₃⋊D₄		48		D4xC3:D4	192,1360

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁D₄ = D₁₂⋊₁₉D₄	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:1D4	192,1168
C₃⋊D₄⋊₂D₄ = C₆.₄₀2₊¹⁺⁴	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:2D4	192,1169
C₃⋊D₄⋊₃D₄ = C₆.₇₃2_-¹⁺⁴	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊D₄	96		C3:D4:3D4	192,1170
C₃⋊D₄⋊₄D₄ = C₂⁴⋊₈D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:4D4	192,1149
C₃⋊D₄⋊₅D₄ = C₂⁴.₄₄D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:5D4	192,1150
C₃⋊D₄⋊₆D₄ = C₆.₁₂₁2₊¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:6D4	192,1213
C₃⋊D₄⋊₇D₄ = C₆.₈₂2_-¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊D₄	96		C3:D4:7D4	192,1214
C₃⋊D₄⋊₈D₄ = C₂⁴.₃₈D₆	φ: trivial image	48		C3:D4:8D4	192,1049
C₃⋊D₄⋊₉D₄ = C₆.2_-¹⁺⁴	φ: trivial image	96		C3:D4:9D4	192,1066

Non-split extensions G=N.Q with N=C₃⋊D₄ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄.₁D₄ = D₈⋊₁₅D₆	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊D₄	48	4+	C3:D4.1D4	192,1328
C₃⋊D₄.₂D₄ = D₈⋊₁₁D₆	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊D₄	48	4	C3:D4.2D4	192,1329
C₃⋊D₄.₃D₄ = D₈.₁₀D₆	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊D₄	96	4-	C3:D4.3D4	192,1330
C₃⋊D₄.₄D₄ = D₈⋊₅D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊D₄	48	8+	C3:D4.4D4	192,1333
C₃⋊D₄.₅D₄ = D₈⋊₆D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊D₄	48	8-	C3:D4.5D4	192,1334
C₃⋊D₄.₆D₄ = C₂₄.C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊D₄	48	8+	C3:D4.6D4	192,1337
C₃⋊D₄.₇D₄ = SD₁₆.D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊D₄	96	8-	C3:D4.7D4	192,1338
C₃⋊D₄.₈D₄ = D₈⋊₁₃D₆	φ: trivial image	48	4	C3:D4.8D4	192,1316
C₃⋊D₄.₉D₄ = SD₁₆⋊₁₃D₆	φ: trivial image	48	4	C3:D4.9D4	192,1321
C₃⋊D₄.₁₀D₄ = D₁₂.₃₀D₄	φ: trivial image	96	4	C3:D4.10D4	192,1325

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