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

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

		d	ρ	Label	ID
C₃×Q₈.A₄		72	4	C3xQ8.A4	288,984

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(Q₈.A₄) = Dic₆.A₄	φ: Q₈.A₄/C₄.A₄ → C₂ ⊆ Aut C₃	72	4+	C3:(Q8.A4)	288,924

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

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

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