Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₉⋊C₆

Direct product G=N×Q with N=C₂×C₄ and Q=C₉⋊C₆

		d	ρ	Label	ID
C₂×C₄×C₉⋊C₆		72		C2xC4xC9:C6	432,353

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁(C₉⋊C₆) = D₁₈⋊C₁₂	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	72		(C2xC4):1(C9:C6)	432,147
(C₂×C₄)⋊₂(C₉⋊C₆) = C₂×D₃₆⋊C₃	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	72		(C2xC4):2(C9:C6)	432,354
(C₂×C₄)⋊₃(C₉⋊C₆) = D₃₆⋊₆C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	72	6	(C2xC4):3(C9:C6)	432,355

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁(C₉⋊C₆) = Dic₉⋊C₁₂	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).1(C9:C6)	432,145
(C₂×C₄).₂(C₉⋊C₆) = C₃₆.C₁₂	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	72	6	(C2xC4).2(C9:C6)	432,143
(C₂×C₄).₃(C₉⋊C₆) = C₃₆⋊C₁₂	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).3(C9:C6)	432,146
(C₂×C₄).₄(C₉⋊C₆) = C₂×C₃₆.C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).4(C9:C6)	432,352
(C₂×C₄).₅(C₉⋊C₆) = C₂×C₉⋊C₂₄	central extension (φ=1)	144		(C2xC4).5(C9:C6)	432,142
(C₂×C₄).₆(C₉⋊C₆) = C₄×C₉⋊C₁₂	central extension (φ=1)	144		(C2xC4).6(C9:C6)	432,144

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