Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₉:C₆

Direct product G=NxQ with N=C₂xC₄ and Q=C₉:C₆

		d	ρ	Label	ID
C₂xC₄xC₉:C₆		72		C2xC4xC9:C6	432,353

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₉:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁(C₉:C₆) = D₁₈:C₁₂	φ: C₉:C₆/3_-¹⁺² → C₂ ⊆ Aut C₂xC₄	72		(C2xC4):1(C9:C6)	432,147
(C₂xC₄):₂(C₉:C₆) = C₂xD₃₆:C₃	φ: C₉:C₆/3_-¹⁺² → C₂ ⊆ Aut C₂xC₄	72		(C2xC4):2(C9:C6)	432,354
(C₂xC₄):₃(C₉:C₆) = D₃₆:₆C₆	φ: C₉:C₆/3_-¹⁺² → C₂ ⊆ Aut C₂xC₄	72	6	(C2xC4):3(C9:C6)	432,355

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₉:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁(C₉:C₆) = Dic₉:C₁₂	φ: C₉:C₆/3_-¹⁺² → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).1(C9:C6)	432,145
(C₂xC₄).₂(C₉:C₆) = C₃₆.C₁₂	φ: C₉:C₆/3_-¹⁺² → C₂ ⊆ Aut C₂xC₄	72	6	(C2xC4).2(C9:C6)	432,143
(C₂xC₄).₃(C₉:C₆) = C₃₆:C₁₂	φ: C₉:C₆/3_-¹⁺² → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).3(C9:C6)	432,146
(C₂xC₄).₄(C₉:C₆) = C₂xC₃₆.C₆	φ: C₉:C₆/3_-¹⁺² → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).4(C9:C6)	432,352
(C₂xC₄).₅(C₉:C₆) = C₂xC₉:C₂₄	central extension (φ=1)	144		(C2xC4).5(C9:C6)	432,142
(C₂xC₄).₆(C₉:C₆) = C₄xC₉:C₁₂	central extension (φ=1)	144		(C2xC4).6(C9:C6)	432,144

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