Extensions 1→N→G→Q→1 with N=D₄ and Q=S₃²

Direct product G=N×Q with N=D₄ and Q=S₃²

		d	ρ	Label	ID
S₃²×D₄		24	8+	S3^2xD4	288,958

Semidirect products G=N:Q with N=D₄ and Q=S₃²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁S₃² = S₃×D₄⋊S₃	φ: S₃²/C₃×S₃ → C₂ ⊆ Out D₄	48	8+	D4:1S3^2	288,572
D₄⋊₂S₃² = Dic₆⋊₃D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Out D₄	48	8+	D4:2S3^2	288,573
D₄⋊₃S₃² = D₁₂⋊D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Out D₄	24	8+	D4:3S3^2	288,574
D₄⋊₄S₃² = D₁₂.D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Out D₄	48	8-	D4:4S3^2	288,575
D₄⋊₅S₃² = S₃×D₄⋊₂S₃	φ: trivial image	48	8-	D4:5S3^2	288,959
D₄⋊₆S₃² = Dic₆⋊₁₂D₆	φ: trivial image	24	8+	D4:6S3^2	288,960
D₄⋊₇S₃² = D₁₂⋊₁₂D₆	φ: trivial image	48	8-	D4:7S3^2	288,961
D₄⋊₈S₃² = D₁₂⋊₁₃D₆	φ: trivial image	24	8+	D4:8S3^2	288,962

Non-split extensions G=N.Q with N=D₄ and Q=S₃²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁S₃² = S₃×D₄.S₃	φ: S₃²/C₃×S₃ → C₂ ⊆ Out D₄	48	8-	D4.1S3^2	288,576
D₄.₂S₃² = Dic₆.₁₉D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Out D₄	48	8-	D4.2S3^2	288,577
D₄.₃S₃² = D₁₂⋊₉D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Out D₄	48	8-	D4.3S3^2	288,580
D₄.₄S₃² = D₁₂.₂₂D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Out D₄	48	8-	D4.4S3^2	288,581
D₄.₅S₃² = D₁₂.₇D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Out D₄	48	8+	D4.5S3^2	288,582
D₄.₆S₃² = Dic₆.₂₀D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Out D₄	48	8+	D4.6S3^2	288,583
D₄.₇S₃² = Dic₆⋊D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Out D₄	24	8+	D4.7S3^2	288,578
D₄.₈S₃² = Dic₆.D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Out D₄	48	8-	D4.8S3^2	288,579
D₄.₉S₃² = D₁₂.₈D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Out D₄	48	8-	D4.9S3^2	288,584
D₄.₁₀S₃² = D₁₂⋊₅D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Out D₄	24	8+	D4.10S3^2	288,585
D₄.₁₁S₃² = Dic₆.₂₄D₆	φ: trivial image	48	8-	D4.11S3^2	288,957

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