Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×C₄○D₄

Direct product G=N×Q with N=C₃ and Q=S₃×C₄○D₄

		d	ρ	Label	ID
C₃×S₃×C₄○D₄		48	4	C3xS3xC4oD4	288,998

Semidirect products G=N:Q with N=C₃ and Q=S₃×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(S₃×C₄○D₄) = S₃×C₄○D₁₂	φ: S₃×C₄○D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	48	4	C3:1(S3xC4oD4)	288,953
C₃⋊₂(S₃×C₄○D₄) = D₁₂⋊₂₃D₆	φ: S₃×C₄○D₄/C₄○D₁₂ → C₂ ⊆ Aut C₃	24	4	C3:2(S3xC4oD4)	288,954
C₃⋊₃(S₃×C₄○D₄) = S₃×D₄⋊₂S₃	φ: S₃×C₄○D₄/S₃×D₄ → C₂ ⊆ Aut C₃	48	8-	C3:3(S3xC4oD4)	288,959
C₃⋊₄(S₃×C₄○D₄) = Dic₆⋊₁₂D₆	φ: S₃×C₄○D₄/D₄⋊₂S₃ → C₂ ⊆ Aut C₃	24	8+	C3:4(S3xC4oD4)	288,960
C₃⋊₅(S₃×C₄○D₄) = S₃×Q₈⋊₃S₃	φ: S₃×C₄○D₄/S₃×Q₈ → C₂ ⊆ Aut C₃	48	8+	C3:5(S3xC4oD4)	288,966
C₃⋊₆(S₃×C₄○D₄) = D₁₂⋊₁₅D₆	φ: S₃×C₄○D₄/Q₈⋊₃S₃ → C₂ ⊆ Aut C₃	48	8-	C3:6(S3xC4oD4)	288,967
C₃⋊₇(S₃×C₄○D₄) = C₄○D₄×C₃⋊S₃	φ: S₃×C₄○D₄/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	72		C3:7(S3xC4oD4)	288,1013

Non-split extensions G=N.Q with N=C₃ and Q=S₃×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×C₄○D₄) = C₄○D₄×D₉	φ: S₃×C₄○D₄/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	72	4	C3.(S3xC4oD4)	288,362

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