Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃×D₉

Direct product G=N×Q with N=D₄ and Q=C₃×D₉

		d	ρ	Label	ID
C₃×D₄×D₉		72	4	C3xD4xD9	432,356

Semidirect products G=N:Q with N=D₄ and Q=C₃×D₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₃×D₉) = C₃×D₄⋊D₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Out D₄	72	4	D4:(C3xD9)	432,149
D₄⋊₂(C₃×D₉) = C₃×D₄⋊₂D₉	φ: trivial image	72	4	D4:2(C3xD9)	432,357

Non-split extensions G=N.Q with N=D₄ and Q=C₃×D₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×D₉) = C₃×D₄.D₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Out D₄	72	4	D4.(C3xD9)	432,148

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Extensions 1→N→G→Q→1 with N=D4 and Q=C3×D9