Extensions 1→N→G→Q→1 with N=Dic₃ and Q=S₃²

Direct product G=NxQ with N=Dic₃ and Q=S₃²

		d	ρ	Label	ID
S₃²xDic₃		48	8-	S3^2xDic3	432,594

Semidirect products G=N:Q with N=Dic₃ and Q=S₃²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃:₁S₃² = S₃xC₃:D₁₂	φ: S₃²/C₃xS₃ → C₂ ⊆ Out Dic₃	24	8+	Dic3:1S3^2	432,598
Dic₃:₂S₃² = C₃:S₃:₄D₁₂	φ: S₃²/C₃xS₃ → C₂ ⊆ Out Dic₃	24	8+	Dic3:2S3^2	432,602
Dic₃:₃S₃² = D₆:S₃²	φ: S₃²/C₃:S₃ → C₂ ⊆ Out Dic₃	48	8-	Dic3:3S3^2	432,600
Dic₃:₄S₃² = (S₃xC₆):D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Out Dic₃	24	8+	Dic3:4S3^2	432,601
Dic₃:₅S₃² = S₃xC₆.D₆	φ: trivial image	24	8+	Dic3:5S3^2	432,595
Dic₃:₆S₃² = Dic₃:₆S₃²	φ: trivial image	48	8-	Dic3:6S3^2	432,596

Non-split extensions G=N.Q with N=Dic₃ and Q=S₃²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁S₃² = S₃xC₃²:₂Q₈	φ: S₃²/C₃xS₃ → C₂ ⊆ Out Dic₃	48	8-	Dic3.1S3^2	432,603
Dic₃.₂S₃² = D₆.₄S₃²	φ: S₃²/C₃xS₃ → C₂ ⊆ Out Dic₃	48	8-	Dic3.2S3^2	432,608
Dic₃.₃S₃² = D₆.₃S₃²	φ: S₃²/C₃xS₃ → C₂ ⊆ Out Dic₃	24	8+	Dic3.3S3^2	432,609
Dic₃.₄S₃² = Dic₃.S₃²	φ: S₃²/C₃xS₃ → C₂ ⊆ Out Dic₃	24	8+	Dic3.4S3^2	432,612
Dic₃.₅S₃² = C₃³:₅(C₂xQ₈)	φ: S₃²/C₃:S₃ → C₂ ⊆ Out Dic₃	48	8-	Dic3.5S3^2	432,604
Dic₃.₆S₃² = C₃³:₆(C₂xQ₈)	φ: S₃²/C₃:S₃ → C₂ ⊆ Out Dic₃	24	8+	Dic3.6S3^2	432,605
Dic₃.₇S₃² = D₆.₆S₃²	φ: S₃²/C₃:S₃ → C₂ ⊆ Out Dic₃	48	8-	Dic3.7S3^2	432,611
Dic₃.₈S₃² = (S₃xC₆).D₆	φ: trivial image	24	8+	Dic3.8S3^2	432,606
Dic₃.₉S₃² = D₆.S₃²	φ: trivial image	48	8-	Dic3.9S3^2	432,607

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