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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊Q₈ = C₂×PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃×C₆	18	8+	(C3xC6):Q8	144,187
(C₃×C₆)⋊₂Q₈ = C₂×C₃²⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₆	48		(C3xC6):2Q8	144,152
(C₃×C₆)⋊₃Q₈ = C₆×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₆	48		(C3xC6):3Q8	144,158
(C₃×C₆)⋊₄Q₈ = C₂×C₃²⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₆	144		(C3xC6):4Q8	144,168

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).Q₈ = C₂.PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃×C₆	24	8+	(C3xC6).Q8	144,120
(C₃×C₆).₂Q₈ = Dic₃⋊Dic₃	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₆	48		(C3xC6).2Q8	144,66
(C₃×C₆).₃Q₈ = C₆².C₂²	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₆	48		(C3xC6).3Q8	144,67
(C₃×C₆).₄Q₈ = C₃×Dic₃⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₆	48		(C3xC6).4Q8	144,77
(C₃×C₆).₅Q₈ = C₃×C₄⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₆	48		(C3xC6).5Q8	144,78
(C₃×C₆).₆Q₈ = C₆.Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₆	144		(C3xC6).6Q8	144,93
(C₃×C₆).₇Q₈ = C₁₂⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₆	144		(C3xC6).7Q8	144,94
(C₃×C₆).₈Q₈ = C₃²×C₄⋊C₄	central extension (φ=1)	144		(C3xC6).8Q8	144,103

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