Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃.A₄

Direct product G=N×Q with N=Q₈ and Q=C₃.A₄

		d	ρ	Label	ID
Q₈×C₃.A₄		72	6	Q8xC3.A4	288,346

Semidirect products G=N:Q with N=Q₈ and Q=C₃.A₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₃.A₄) = C₂²⋊(Q₈⋊C₉)	φ: C₃.A₄/C₂×C₆ → C₃ ⊆ Out Q₈	72	6	Q8:1(C3.A4)	288,350
Q₈⋊₂(C₃.A₄) = 2₊¹⁺⁴⋊₂C₉	φ: C₃.A₄/C₂×C₆ → C₃ ⊆ Out Q₈	72	4	Q8:2(C3.A4)	288,351

Non-split extensions G=N.Q with N=Q₈ and Q=C₃.A₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃.A₄) = 2₊¹⁺⁴⋊C₉	φ: trivial image	72	4	Q8.(C3.A4)	288,348

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C3.A4