Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃²×Dic₃

Direct product G=N×Q with N=C₄ and Q=C₃²×Dic₃

		d	ρ	Label	ID
Dic₃×C₃×C₁₂		144		Dic3xC3xC12	432,471

Semidirect products G=N:Q with N=C₄ and Q=C₃²×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃²×Dic₃) = C₃²×C₄⋊Dic₃	φ: C₃²×Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₄	144		C4:(C3^2xDic3)	432,473

Non-split extensions G=N.Q with N=C₄ and Q=C₃²×Dic₃

extension	φ:Q→Aut N	d	Label	ID
C₄.(C₃²×Dic₃) = C₃²×C₄.Dic₃	φ: C₃²×Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₄	72	C4.(C3^2xDic3)	432,470
C₄.₂(C₃²×Dic₃) = C₃²×C₃⋊C₁₆	central extension (φ=1)	144	C4.2(C3^2xDic3)	432,229
C₄.₃(C₃²×Dic₃) = C₃×C₆×C₃⋊C₈	central extension (φ=1)	144	C4.3(C3^2xDic3)	432,469

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Extensions 1→N→G→Q→1 with N=C4 and Q=C32×Dic3