Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₆⋊S₃

Direct product G=N×Q with N=C₃ and Q=Dic₆⋊S₃

		d	ρ	Label	ID
C₃×Dic₆⋊S₃		48	4	C3xDic6:S3	432,420

Semidirect products G=N:Q with N=C₃ and Q=Dic₆⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₆⋊S₃) = C₃³⋊₁₈SD₁₆	φ: Dic₆⋊S₃/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(Dic6:S3)	432,458
C₃⋊₂(Dic₆⋊S₃) = C₃³⋊₁₃SD₁₆	φ: Dic₆⋊S₃/C₃×Dic₆ → C₂ ⊆ Aut C₃	144		C3:2(Dic6:S3)	432,440
C₃⋊₃(Dic₆⋊S₃) = C₃³⋊₁₂SD₁₆	φ: Dic₆⋊S₃/C₃×D₁₂ → C₂ ⊆ Aut C₃	144		C3:3(Dic6:S3)	432,439

Non-split extensions G=N.Q with N=C₃ and Q=Dic₆⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(Dic₆⋊S₃) = He₃⋊₃SD₁₆	φ: Dic₆⋊S₃/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	72	6	C3.1(Dic6:S3)	432,78
C₃.₂(Dic₆⋊S₃) = Dic₆⋊D₉	φ: Dic₆⋊S₃/C₃×Dic₆ → C₂ ⊆ Aut C₃	144	4	C3.2(Dic6:S3)	432,72
C₃.₃(Dic₆⋊S₃) = D₁₂.D₉	φ: Dic₆⋊S₃/C₃×D₁₂ → C₂ ⊆ Aut C₃	144	4	C3.3(Dic6:S3)	432,70

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Extensions 1→N→G→Q→1 with N=C3 and Q=Dic6⋊S3