Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=C₆

Direct product G=N×Q with N=C₃×Q₈ and Q=C₆

		d	ρ	Label	ID
Q₈×C₃×C₆		144		Q8xC3xC6	144,180

Semidirect products G=N:Q with N=C₃×Q₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊C₆ = S₃×SL₂(𝔽₃)	φ: C₆/C₁ → C₆ ⊆ Out C₃×Q₈	24	4-	(C3xQ8):C6	144,128
(C₃×Q₈)⋊₂C₆ = C₆×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out C₃×Q₈	48		(C3xQ8):2C6	144,156
(C₃×Q₈)⋊₃C₆ = C₃×Q₈⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8):3C6	144,82
(C₃×Q₈)⋊₄C₆ = C₃×S₃×Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8):4C6	144,164
(C₃×Q₈)⋊₅C₆ = C₃×Q₈⋊₃S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8):5C6	144,165
(C₃×Q₈)⋊₆C₆ = C₃²×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₈	72		(C3xQ8):6C6	144,107
(C₃×Q₈)⋊₇C₆ = C₃²×C₄○D₄	φ: trivial image	72		(C3xQ8):7C6	144,181

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).C₆ = Dic₃.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₃×Q₈	48	4+	(C3xQ8).C6	144,127
(C₃×Q₈).₂C₆ = C₂×Q₈⋊C₉	φ: C₆/C₂ → C₃ ⊆ Out C₃×Q₈	144		(C3xQ8).2C6	144,35
(C₃×Q₈).₃C₆ = Q₈.C₁₈	φ: C₆/C₂ → C₃ ⊆ Out C₃×Q₈	72	2	(C3xQ8).3C6	144,36
(C₃×Q₈).₄C₆ = C₃×C₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₃×Q₈	48	2	(C3xQ8).4C6	144,157
(C₃×Q₈).₅C₆ = C₃×C₃⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8).5C6	144,83
(C₃×Q₈).₆C₆ = C₉×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₈	72	2	(C3xQ8).6C6	144,26
(C₃×Q₈).₇C₆ = C₉×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₈	144	2	(C3xQ8).7C6	144,27
(C₃×Q₈).₈C₆ = C₃²×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₈	144		(C3xQ8).8C6	144,108
(C₃×Q₈).₉C₆ = Q₈×C₁₈	φ: trivial image	144		(C3xQ8).9C6	144,49
(C₃×Q₈).₁₀C₆ = C₉×C₄○D₄	φ: trivial image	72	2	(C3xQ8).10C6	144,50

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