Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈×C₉

Direct product G=N×Q with N=C₃ and Q=Q₈×C₉

		d	ρ	Label	ID
Q₈×C₃×C₉		216		Q8xC3xC9	216,79

Semidirect products G=N:Q with N=C₃ and Q=Q₈×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(Q₈×C₉) = C₉×Dic₆	φ: Q₈×C₉/C₃₆ → C₂ ⊆ Aut C₃	72	2	C3:(Q8xC9)	216,44

Non-split extensions G=N.Q with N=C₃ and Q=Q₈×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈×C₉) = Q₈×C₂₇	central extension (φ=1)	216	2	C3.(Q8xC9)	216,11

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8×C9