Extensions 1→N→G→Q→1 with N=C₃ and Q=C₈⋊D₉

Direct product G=N×Q with N=C₃ and Q=C₈⋊D₉

		d	ρ	Label	ID
C₃×C₈⋊D₉		144	2	C3xC8:D9	432,106

Semidirect products G=N:Q with N=C₃ and Q=C₈⋊D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈⋊D₉) = C₃₆.₄₀D₆	φ: C₈⋊D₉/C₉⋊C₈ → C₂ ⊆ Aut C₃	72	4	C3:1(C8:D9)	432,61
C₃⋊₂(C₈⋊D₉) = C₇₂⋊S₃	φ: C₈⋊D₉/C₇₂ → C₂ ⊆ Aut C₃	216		C3:2(C8:D9)	432,170
C₃⋊₃(C₈⋊D₉) = C₃₆.₃₉D₆	φ: C₈⋊D₉/C₄×D₉ → C₂ ⊆ Aut C₃	144	4	C3:3(C8:D9)	432,60

Non-split extensions G=N.Q with N=C₃ and Q=C₈⋊D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₈⋊D₉) = C₈⋊D₂₇	φ: C₈⋊D₉/C₇₂ → C₂ ⊆ Aut C₃	216	2	C3.(C8:D9)	432,6

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Extensions 1→N→G→Q→1 with N=C3 and Q=C8⋊D9