Extensions 1→N→G→Q→1 with N=C₃ and Q=D₈⋊S₃

Direct product G=N×Q with N=C₃ and Q=D₈⋊S₃

		d	ρ	Label	ID
C₃×D₈⋊S₃		48	4	C3xD8:S3	288,682

Semidirect products G=N:Q with N=C₃ and Q=D₈⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₈⋊S₃) = D₂₄⋊S₃	φ: D₈⋊S₃/C₈⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:1(D8:S3)	288,443
C₃⋊₂(D₈⋊S₃) = C₂₄⋊₆D₆	φ: D₈⋊S₃/C₂₄⋊C₂ → C₂ ⊆ Aut C₃	48	4	C3:2(D8:S3)	288,446
C₃⋊₃(D₈⋊S₃) = D₁₂.D₆	φ: D₈⋊S₃/D₄⋊S₃ → C₂ ⊆ Aut C₃	48	8-	C3:3(D8:S3)	288,575
C₃⋊₄(D₈⋊S₃) = D₁₂⋊₅D₆	φ: D₈⋊S₃/D₄.S₃ → C₂ ⊆ Aut C₃	24	8+	C3:4(D8:S3)	288,585
C₃⋊₅(D₈⋊S₃) = C₂₄⋊₈D₆	φ: D₈⋊S₃/C₃×D₈ → C₂ ⊆ Aut C₃	72		C3:5(D8:S3)	288,768
C₃⋊₆(D₈⋊S₃) = D₁₂⋊₉D₆	φ: D₈⋊S₃/S₃×D₄ → C₂ ⊆ Aut C₃	48	8-	C3:6(D8:S3)	288,580
C₃⋊₇(D₈⋊S₃) = Dic₆⋊₃D₆	φ: D₈⋊S₃/D₄⋊₂S₃ → C₂ ⊆ Aut C₃	48	8+	C3:7(D8:S3)	288,573

Non-split extensions G=N.Q with N=C₃ and Q=D₈⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₈⋊S₃) = D₈⋊D₉	φ: D₈⋊S₃/C₃×D₈ → C₂ ⊆ Aut C₃	72	4	C3.(D8:S3)	288,121

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