Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×D₉

Direct product G=N×Q with N=C₄ and Q=C₃×D₉

		d	ρ	Label	ID
C₁₂×D₉		72	2	C12xD9	216,45

Semidirect products G=N:Q with N=C₄ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×D₉) = C₃×D₃₆	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₄	72	2	C4:(C3xD9)	216,46

Non-split extensions G=N.Q with N=C₄ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×D₉) = C₃×Dic₁₈	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₄	72	2	C4.(C3xD9)	216,43
C₄.₂(C₃×D₉) = C₃×C₉⋊C₈	central extension (φ=1)	72	2	C4.2(C3xD9)	216,12

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3×D9