Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₂D₉

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₂D₉

		d	ρ	Label	ID
C₃×Q₈⋊₂D₉		144	4	C3xQ8:2D9	432,157

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₂D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊₂D₉) = C₁₈.D₁₂	φ: Q₈⋊₂D₉/C₉⋊C₈ → C₂ ⊆ Aut C₃	72	4+	C3:1(Q8:2D9)	432,73
C₃⋊₂(Q₈⋊₂D₉) = Dic₆⋊D₉	φ: Q₈⋊₂D₉/D₃₆ → C₂ ⊆ Aut C₃	144	4	C3:2(Q8:2D9)	432,72
C₃⋊₃(Q₈⋊₂D₉) = C₃₆.₂₀D₆	φ: Q₈⋊₂D₉/Q₈×C₉ → C₂ ⊆ Aut C₃	216		C3:3(Q8:2D9)	432,195

Non-split extensions G=N.Q with N=C₃ and Q=Q₈⋊₂D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈⋊₂D₉) = Q₈⋊₂D₂₇	φ: Q₈⋊₂D₉/Q₈×C₉ → C₂ ⊆ Aut C₃	216	4+	C3.(Q8:2D9)	432,18

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8⋊2D9