Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=Q₈

Direct product G=N×Q with N=C₂×C₆ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₂×C₆		96		Q8xC2xC6	96,222

Semidirect products G=N:Q with N=C₂×C₆ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊Q₈ = Dic₃.D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₆	48		(C2xC6):Q8	96,85
(C₂×C₆)⋊₂Q₈ = C₃×C₂²⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6):2Q8	96,169
(C₂×C₆)⋊₃Q₈ = C₁₂.₄₈D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6):3Q8	96,131
(C₂×C₆)⋊₄Q₈ = C₂²×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6):4Q8	96,205

Non-split extensions G=N.Q with N=C₂×C₆ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).Q₈ = C₁₂.₅₃D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₆	48	4	(C2xC6).Q8	96,29
(C₂×C₆).₂Q₈ = C₃×C₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₆	48	2	(C2xC6).2Q8	96,58
(C₂×C₆).₃Q₈ = C₂₄.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₆	48	2	(C2xC6).3Q8	96,26
(C₂×C₆).₄Q₈ = C₆.C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6).4Q8	96,38
(C₂×C₆).₅Q₈ = C₂×Dic₃⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6).5Q8	96,130
(C₂×C₆).₆Q₈ = C₂×C₄⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6).6Q8	96,132
(C₂×C₆).₇Q₈ = C₃×C₂.C₄²	central extension (φ=1)	96		(C2xC6).7Q8	96,45
(C₂×C₆).₈Q₈ = C₆×C₄⋊C₄	central extension (φ=1)	96		(C2xC6).8Q8	96,163

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