Extensions 1→N→G→Q→1 with N=C₄ and Q=C₆xC₁₈

Direct product G=NxQ with N=C₄ and Q=C₆xC₁₈

		d	ρ	Label	ID
C₂xC₆xC₃₆		432		C2xC6xC36	432,400

Semidirect products G=N:Q with N=C₄ and Q=C₆xC₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₆xC₁₈) = D₄xC₃xC₁₈	φ: C₆xC₁₈/C₃xC₁₈ → C₂ ⊆ Aut C₄	216		C4:(C6xC18)	432,403

Non-split extensions G=N.Q with N=C₄ and Q=C₆xC₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₆xC₁₈) = D₈xC₃xC₉	φ: C₆xC₁₈/C₃xC₁₈ → C₂ ⊆ Aut C₄	216		C4.1(C6xC18)	432,215
C₄.₂(C₆xC₁₈) = SD₁₆xC₃xC₉	φ: C₆xC₁₈/C₃xC₁₈ → C₂ ⊆ Aut C₄	216		C4.2(C6xC18)	432,218
C₄.₃(C₆xC₁₈) = Q₁₆xC₃xC₉	φ: C₆xC₁₈/C₃xC₁₈ → C₂ ⊆ Aut C₄	432		C4.3(C6xC18)	432,221
C₄.₄(C₆xC₁₈) = Q₈xC₃xC₁₈	φ: C₆xC₁₈/C₃xC₁₈ → C₂ ⊆ Aut C₄	432		C4.4(C6xC18)	432,406
C₄.₅(C₆xC₁₈) = M₄(2)xC₃xC₉	central extension (φ=1)	216		C4.5(C6xC18)	432,212
C₄.₆(C₆xC₁₈) = C₄oD₄xC₃xC₉	central extension (φ=1)	216		C4.6(C6xC18)	432,409

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