Extensions 1→N→G→Q→1 with N=C₃×D₈ and Q=C₆

Direct product G=N×Q with N=C₃×D₈ and Q=C₆

		d	ρ	Label	ID
D₈×C₃×C₆		144		D8xC3xC6	288,829

Semidirect products G=N:Q with N=C₃×D₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₈)⋊₁C₆ = C₃×C₃⋊D₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	48	4	(C3xD8):1C6	288,260
(C₃×D₈)⋊₂C₆ = C₃×S₃×D₈	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	48	4	(C3xD8):2C6	288,681
(C₃×D₈)⋊₃C₆ = C₃×D₈⋊₃S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	48	4	(C3xD8):3C6	288,683
(C₃×D₈)⋊₄C₆ = C₃×D₈⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	48	4	(C3xD8):4C6	288,682
(C₃×D₈)⋊₅C₆ = C₃²×D₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	144		(C3xD8):5C6	288,329
(C₃×D₈)⋊₆C₆ = C₃²×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	72		(C3xD8):6C6	288,833
(C₃×D₈)⋊₇C₆ = C₃²×C₄○D₈	φ: trivial image	144		(C3xD8):7C6	288,832

Non-split extensions G=N.Q with N=C₃×D₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₈).₁C₆ = C₃×D₈.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	48	4	(C3xD8).1C6	288,261
(C₃×D₈).₂C₆ = C₉×D₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	144	2	(C3xD8).2C6	288,61
(C₃×D₈).₃C₆ = C₉×SD₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	144	2	(C3xD8).3C6	288,62
(C₃×D₈).₄C₆ = C₃²×SD₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	144		(C3xD8).4C6	288,330
(C₃×D₈).₅C₆ = C₉×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₈	72	4	(C3xD8).5C6	288,186
(C₃×D₈).₆C₆ = D₈×C₁₈	φ: trivial image	144		(C3xD8).6C6	288,182
(C₃×D₈).₇C₆ = C₉×C₄○D₈	φ: trivial image	144	2	(C3xD8).7C6	288,185

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