Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈×C₁₈

Direct product G=N×Q with N=C₃ and Q=Q₈×C₁₈

		d	ρ	Label	ID
Q₈×C₃×C₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=C₃ and Q=Q₈×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈×C₁₈) = C₁₈×Dic₆	φ: Q₈×C₁₈/C₂×C₃₆ → C₂ ⊆ Aut C₃	144		C3:1(Q8xC18)	432,341
C₃⋊₂(Q₈×C₁₈) = S₃×Q₈×C₉	φ: Q₈×C₁₈/Q₈×C₉ → C₂ ⊆ Aut C₃	144	4	C3:2(Q8xC18)	432,366

Non-split extensions G=N.Q with N=C₃ and Q=Q₈×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈×C₁₈) = Q₈×C₅₄	central extension (φ=1)	432		C3.(Q8xC18)	432,55

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8×C18