Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈.D₆

Direct product G=N×Q with N=C₃ and Q=Q₈.D₆

		d	ρ	Label	ID
C₃×Q₈.D₆		48	4	C3xQ8.D6	288,901

Semidirect products G=N:Q with N=C₃ and Q=Q₈.D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈.D₆) = D₆.₂S₄	φ: Q₈.D₆/CSU₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4	C3:1(Q8.D6)	288,850
C₃⋊₂(Q₈.D₆) = D₆.S₄	φ: Q₈.D₆/GL₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4-	C3:2(Q8.D6)	288,849
C₃⋊₃(Q₈.D₆) = SL₂(𝔽₃).D₆	φ: Q₈.D₆/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4	C3:3(Q8.D6)	288,912

Non-split extensions G=N.Q with N=C₃ and Q=Q₈.D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈.D₆) = Q₈.D₁₈	φ: Q₈.D₆/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	144	4	C3.(Q8.D6)	288,337

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8.D6