Extensions 1→N→G→Q→1 with N=C₃²⋊₇D₄ and Q=S₃

Direct product G=N×Q with N=C₃²⋊₇D₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₃²⋊₇D₄		72		S3xC3^2:7D4	432,684

Semidirect products G=N:Q with N=C₃²⋊₇D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₇D₄⋊₁S₃ = C₆².₈D₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₇D₄	72	12-	C3^2:7D4:1S3	432,318
C₃²⋊₇D₄⋊₂S₃ = C₆².₉D₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₇D₄	72	6	C3^2:7D4:2S3	432,319
C₃²⋊₇D₄⋊₃S₃ = C₆²⋊D₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₇D₄	36	12+	C3^2:7D4:3S3	432,323
C₃²⋊₇D₄⋊₄S₃ = C₆²⋊₂D₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₇D₄	36	6	C3^2:7D4:4S3	432,324
C₃²⋊₇D₄⋊₅S₃ = C₆².₉₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₇D₄	72		C3^2:7D4:5S3	432,676
C₃²⋊₇D₄⋊₆S₃ = C₆²⋊₂₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₇D₄	36		C3^2:7D4:6S3	432,686
C₃²⋊₇D₄⋊₇S₃ = C₆².₉₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₇D₄	24	4	C3^2:7D4:7S3	432,693
C₃²⋊₇D₄⋊₈S₃ = C₆²⋊₂₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₇D₄	24	4	C3^2:7D4:8S3	432,696
C₃²⋊₇D₄⋊₉S₃ = C₆².₉₃D₆	φ: trivial image	72		C3^2:7D4:9S3	432,678

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