Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²×D₈

Direct product G=N×Q with N=C₃ and Q=C₃²×D₈

		d	ρ	Label	ID
D₈×C₃³		216		D8xC3^3	432,517

Semidirect products G=N:Q with N=C₃ and Q=C₃²×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²×D₈) = C₃²×D₂₄	φ: C₃²×D₈/C₃×C₂₄ → C₂ ⊆ Aut C₃	144		C3:1(C3^2xD8)	432,467
C₃⋊₂(C₃²×D₈) = C₃²×D₄⋊S₃	φ: C₃²×D₈/D₄×C₃² → C₂ ⊆ Aut C₃	72		C3:2(C3^2xD8)	432,475

Non-split extensions G=N.Q with N=C₃ and Q=C₃²×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²×D₈) = D₈×C₃×C₉	central extension (φ=1)	216		C3.1(C3^2xD8)	432,215
C₃.₂(C₃²×D₈) = D₈×He₃	central stem extension (φ=1)	72	6	C3.2(C3^2xD8)	432,216
C₃.₃(C₃²×D₈) = D₈×3_-¹⁺²	central stem extension (φ=1)	72	6	C3.3(C3^2xD8)	432,217

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32×D8