Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃²×C₆

Direct product G=N×Q with N=C₈ and Q=C₃²×C₆

		d	ρ	Label	ID
C₃×C₆×C₂₄		432		C3xC6xC24	432,515

Semidirect products G=N:Q with N=C₈ and Q=C₃²×C₆

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁(C₃²×C₆) = D₈×C₃³	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₈	216	C8:1(C3^2xC6)	432,517
C₈⋊₂(C₃²×C₆) = SD₁₆×C₃³	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₈	216	C8:2(C3^2xC6)	432,518
C₈⋊₃(C₃²×C₆) = M₄(2)×C₃³	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₈	216	C8:3(C3^2xC6)	432,516

Non-split extensions G=N.Q with N=C₈ and Q=C₃²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₃²×C₆) = Q₁₆×C₃³	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₈	432		C8.(C3^2xC6)	432,519

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Extensions 1→N→G→Q→1 with N=C8 and Q=C32×C6