Extensions 1→N→G→Q→1 with N=D₆ and Q=C₃²⋊C₄

Direct product G=N×Q with N=D₆ and Q=C₃²⋊C₄

		d	ρ	Label	ID
C₂×S₃×C₃²⋊C₄		24	8+	C2xS3xC3^2:C4	432,753

Semidirect products G=N:Q with N=D₆ and Q=C₃²⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊(C₃²⋊C₄) = D₆⋊(C₃²⋊C₄)	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Out D₆	24	8+	D6:(C3^2:C4)	432,568

Non-split extensions G=N.Q with N=D₆ and Q=C₃²⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.(C₃²⋊C₄) = C₃³⋊M₄(2)	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Out D₆	48	8-	D6.(C3^2:C4)	432,572
D₆.₂(C₃²⋊C₄) = S₃×C₃²⋊₂C₈	φ: trivial image	48	8-	D6.2(C3^2:C4)	432,570

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Extensions 1→N→G→Q→1 with N=D6 and Q=C32⋊C4