Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃×C₃⋊S₃

Direct product G=N×Q with N=D₄ and Q=C₃×C₃⋊S₃

		d	ρ	Label	ID
C₃×D₄×C₃⋊S₃		72		C3xD4xC3:S3	432,714

Semidirect products G=N:Q with N=D₄ and Q=C₃×C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₃×C₃⋊S₃) = C₃×C₃²⋊₇D₈	φ: C₃×C₃⋊S₃/C₃³ → C₂ ⊆ Out D₄	72		D4:(C3xC3:S3)	432,491
D₄⋊₂(C₃×C₃⋊S₃) = C₃×C₁₂.D₆	φ: trivial image	72		D4:2(C3xC3:S3)	432,715

Non-split extensions G=N.Q with N=D₄ and Q=C₃×C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×C₃⋊S₃) = C₃×C₃²⋊₉SD₁₆	φ: C₃×C₃⋊S₃/C₃³ → C₂ ⊆ Out D₄	72		D4.(C3xC3:S3)	432,492

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Extensions 1→N→G→Q→1 with N=D4 and Q=C3×C3⋊S3