Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×D₄.S₃

Direct product G=N×Q with N=C₃ and Q=C₃×D₄.S₃

		d	ρ	Label	ID
C₃²×D₄.S₃		72		C3^2xD4.S3	432,476

Semidirect products G=N:Q with N=C₃ and Q=C₃×D₄.S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×D₄.S₃) = C₃×D₁₂.S₃	φ: C₃×D₄.S₃/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C3xD4.S3)	432,421
C₃⋊₂(C₃×D₄.S₃) = C₃×Dic₆⋊S₃	φ: C₃×D₄.S₃/C₃×Dic₆ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xD4.S3)	432,420
C₃⋊₃(C₃×D₄.S₃) = C₃×C₃²⋊₉SD₁₆	φ: C₃×D₄.S₃/D₄×C₃² → C₂ ⊆ Aut C₃	72		C3:3(C3xD4.S3)	432,492

Non-split extensions G=N.Q with N=C₃ and Q=C₃×D₄.S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×D₄.S₃) = C₃×D₄.D₉	φ: C₃×D₄.S₃/D₄×C₃² → C₂ ⊆ Aut C₃	72	4	C3.1(C3xD4.S3)	432,148
C₃.₂(C₃×D₄.S₃) = He₃⋊₈SD₁₆	φ: C₃×D₄.S₃/D₄×C₃² → C₂ ⊆ Aut C₃	72	12-	C3.2(C3xD4.S3)	432,152
C₃.₃(C₃×D₄.S₃) = Dic₁₈⋊C₆	φ: C₃×D₄.S₃/D₄×C₃² → C₂ ⊆ Aut C₃	72	12-	C3.3(C3xD4.S3)	432,154
C₃.₄(C₃×D₄.S₃) = C₉×D₄.S₃	central extension (φ=1)	72	4	C3.4(C3xD4.S3)	432,151

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