Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×Dic₉

Direct product G=N×Q with N=C₄ and Q=C₃×Dic₉

		d	ρ	Label	ID
C₁₂×Dic₉		144		C12xDic9	432,128

Semidirect products G=N:Q with N=C₄ and Q=C₃×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×Dic₉) = C₃×C₄⋊Dic₉	φ: C₃×Dic₉/C₃×C₁₈ → C₂ ⊆ Aut C₄	144		C4:(C3xDic9)	432,130

Non-split extensions G=N.Q with N=C₄ and Q=C₃×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×Dic₉) = C₃×C₄.Dic₉	φ: C₃×Dic₉/C₃×C₁₈ → C₂ ⊆ Aut C₄	72	2	C4.(C3xDic9)	432,125
C₄.₂(C₃×Dic₉) = C₃×C₉⋊C₁₆	central extension (φ=1)	144	2	C4.2(C3xDic9)	432,28
C₄.₃(C₃×Dic₉) = C₆×C₉⋊C₈	central extension (φ=1)	144		C4.3(C3xDic9)	432,124

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3×Dic9