Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=C₃

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

		d	ρ	Label	ID
Q₈×C₃²		72		Q8xC3^2	72,38

Semidirect products G=N:Q with N=C₃×Q₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊C₃ = C₃×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out C₃×Q₈	24	2	(C3xQ8):C3	72,25

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).C₃ = Q₈⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃×Q₈	72	2	(C3xQ8).C3	72,3
(C₃×Q₈).₂C₃ = Q₈×C₉	φ: trivial image	72	2	(C3xQ8).2C3	72,11

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Extensions 1→N→G→Q→1 with N=C3×Q8 and Q=C3