Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₃D₉

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₃D₉

		d	ρ	Label	ID
C₃×Q₈⋊₃D₉		144	4	C3xQ8:3D9	432,365

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₃D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊₃D₉) = Dic₆⋊₅D₉	φ: Q₈⋊₃D₉/C₄×D₉ → C₂ ⊆ Aut C₃	72	4+	C3:1(Q8:3D9)	432,282
C₃⋊₂(Q₈⋊₃D₉) = D₁₈.D₆	φ: Q₈⋊₃D₉/D₃₆ → C₂ ⊆ Aut C₃	72	4	C3:2(Q8:3D9)	432,281
C₃⋊₃(Q₈⋊₃D₉) = C₃₆.₂₉D₆	φ: Q₈⋊₃D₉/Q₈×C₉ → C₂ ⊆ Aut C₃	216		C3:3(Q8:3D9)	432,393

Non-split extensions G=N.Q with N=C₃ and Q=Q₈⋊₃D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈⋊₃D₉) = Q₈⋊₃D₂₇	φ: Q₈⋊₃D₉/Q₈×C₉ → C₂ ⊆ Aut C₃	216	4+	C3.(Q8:3D9)	432,50

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8⋊3D9