Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆⋊Dic₃

Direct product G=N×Q with N=C₃ and Q=D₆⋊Dic₃

		d	ρ	Label	ID
C₃×D₆⋊Dic₃		48		C3xD6:Dic3	432,426

Semidirect products G=N:Q with N=C₃ and Q=D₆⋊Dic₃

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(D₆⋊Dic₃) = C₆².₇₈D₆	φ: D₆⋊Dic₃/C₆×Dic₃ → C₂ ⊆ Aut C₃	144	C3:1(D6:Dic3)	432,450
C₃⋊₂(D₆⋊Dic₃) = C₆².₈₄D₆	φ: D₆⋊Dic₃/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	48	C3:2(D6:Dic3)	432,461
C₃⋊₃(D₆⋊Dic₃) = C₆².₇₇D₆	φ: D₆⋊Dic₃/S₃×C₂×C₆ → C₂ ⊆ Aut C₃	144	C3:3(D6:Dic3)	432,449

Non-split extensions G=N.Q with N=C₃ and Q=D₆⋊Dic₃

extension	φ:Q→Aut N	d	Label	ID
C₃.₁(D₆⋊Dic₃) = D₁₈⋊Dic₃	φ: D₆⋊Dic₃/C₆×Dic₃ → C₂ ⊆ Aut C₃	144	C3.1(D6:Dic3)	432,91
C₃.₂(D₆⋊Dic₃) = C₆².₄D₆	φ: D₆⋊Dic₃/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	72	C3.2(D6:Dic3)	432,97
C₃.₃(D₆⋊Dic₃) = D₆⋊Dic₉	φ: D₆⋊Dic₃/S₃×C₂×C₆ → C₂ ⊆ Aut C₃	144	C3.3(D6:Dic3)	432,93

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Extensions 1→N→G→Q→1 with N=C3 and Q=D6⋊Dic3