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
D₉×C₂₄		144	2	D9xC24	432,105

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) = C₃₆.₃₈D₆	φ: C₈×D₉/C₉⋊C₈ → C₂ ⊆ Aut C₃	72	4	C3:1(C8xD9)	432,59
C₃⋊₂(C₈×D₉) = C₈×C₉⋊S₃	φ: C₈×D₉/C₇₂ → C₂ ⊆ Aut C₃	216		C3:2(C8xD9)	432,169
C₃⋊₃(C₈×D₉) = D₉×C₃⋊C₈	φ: C₈×D₉/C₄×D₉ → C₂ ⊆ Aut C₃	144	4	C3:3(C8xD9)	432,58

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.(C8xD9)	432,5

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