Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=C₁₈

Direct product G=N×Q with N=C₃×Q₈ and Q=C₁₈

		d	ρ	Label	ID
Q₈×C₃×C₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=C₃×Q₈ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊C₁₈ = S₃×Q₈⋊C₉	φ: C₁₈/C₃ → C₆ ⊆ Out C₃×Q₈	144	4	(C3xQ8):C18	432,268
(C₃×Q₈)⋊₂C₁₈ = C₆×Q₈⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Out C₃×Q₈	432		(C3xQ8):2C18	432,334
(C₃×Q₈)⋊₃C₁₈ = C₉×Q₈⋊₂S₃	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×Q₈	144	4	(C3xQ8):3C18	432,158
(C₃×Q₈)⋊₄C₁₈ = S₃×Q₈×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×Q₈	144	4	(C3xQ8):4C18	432,366
(C₃×Q₈)⋊₅C₁₈ = C₉×Q₈⋊₃S₃	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×Q₈	144	4	(C3xQ8):5C18	432,367
(C₃×Q₈)⋊₆C₁₈ = SD₁₆×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×Q₈	216		(C3xQ8):6C18	432,218
(C₃×Q₈)⋊₇C₁₈ = C₄○D₄×C₃×C₉	φ: trivial image	216		(C3xQ8):7C18	432,409

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).C₁₈ = Q₈⋊C₉⋊₃S₃	φ: C₁₈/C₃ → C₆ ⊆ Out C₃×Q₈	144	4	(C3xQ8).C18	432,267
(C₃×Q₈).₂C₁₈ = C₂×Q₈⋊C₂₇	φ: C₁₈/C₆ → C₃ ⊆ Out C₃×Q₈	432		(C3xQ8).2C18	432,41
(C₃×Q₈).₃C₁₈ = Q₈.C₅₄	φ: C₁₈/C₆ → C₃ ⊆ Out C₃×Q₈	216	2	(C3xQ8).3C18	432,42
(C₃×Q₈).₄C₁₈ = C₃×Q₈.C₁₈	φ: C₁₈/C₆ → C₃ ⊆ Out C₃×Q₈	216		(C3xQ8).4C18	432,337
(C₃×Q₈).₅C₁₈ = C₉×C₃⋊Q₁₆	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×Q₈	144	4	(C3xQ8).5C18	432,159
(C₃×Q₈).₆C₁₈ = SD₁₆×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×Q₈	216	2	(C3xQ8).6C18	432,26
(C₃×Q₈).₇C₁₈ = Q₁₆×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×Q₈	432	2	(C3xQ8).7C18	432,27
(C₃×Q₈).₈C₁₈ = Q₁₆×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×Q₈	432		(C3xQ8).8C18	432,221
(C₃×Q₈).₉C₁₈ = Q₈×C₅₄	φ: trivial image	432		(C3xQ8).9C18	432,55
(C₃×Q₈).₁₀C₁₈ = C₄○D₄×C₂₇	φ: trivial image	216	2	(C3xQ8).10C18	432,56

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