Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=C₃²

Direct product G=N×Q with N=C₃×Q₈ and Q=C₃²

		d	ρ	Label	ID
Q₈×C₃³		216		Q8xC3^3	216,152

Semidirect products G=N:Q with N=C₃×Q₈ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊C₃² = C₃²×SL₂(𝔽₃)	φ: C₃²/C₃ → C₃ ⊆ Out C₃×Q₈	72		(C3xQ8):C3^2	216,134

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁C₃² = C₉×SL₂(𝔽₃)	φ: C₃²/C₃ → C₃ ⊆ Out C₃×Q₈	72	2	(C3xQ8).1C3^2	216,38
(C₃×Q₈).₂C₃² = C₁₈.A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃×Q₈	72	6	(C3xQ8).2C3^2	216,39
(C₃×Q₈).₃C₃² = C₃×Q₈⋊C₉	φ: C₃²/C₃ → C₃ ⊆ Out C₃×Q₈	216		(C3xQ8).3C3^2	216,40
(C₃×Q₈).₄C₃² = Q₈⋊3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Out C₃×Q₈	72	6	(C3xQ8).4C3^2	216,41
(C₃×Q₈).₅C₃² = Q₈⋊He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₃×Q₈	72	6	(C3xQ8).5C3^2	216,42
(C₃×Q₈).₆C₃² = Q₈×C₃×C₉	φ: trivial image	216		(C3xQ8).6C3^2	216,79
(C₃×Q₈).₇C₃² = Q₈×He₃	φ: trivial image	72	6	(C3xQ8).7C3^2	216,80
(C₃×Q₈).₈C₃² = Q₈×3_-¹⁺²	φ: trivial image	72	6	(C3xQ8).8C3^2	216,81

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