Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₉

Direct product G=N×Q with N=C₂×C₄ and Q=D₉

		d	ρ	Label	ID
C₂×C₄×D₉		72		C2xC4xD9	144,38

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₉ = D₁₈⋊C₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₄	72		(C2xC4):1D9	144,14
(C₂×C₄)⋊₂D₉ = C₂×D₃₆	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₄	72		(C2xC4):2D9	144,39
(C₂×C₄)⋊₃D₉ = D₃₆⋊₅C₂	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₄	72	2	(C2xC4):3D9	144,40

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₉ = Dic₉⋊C₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).1D9	144,12
(C₂×C₄).₂D₉ = C₄.Dic₉	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₄	72	2	(C2xC4).2D9	144,10
(C₂×C₄).₃D₉ = C₄⋊Dic₉	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).3D9	144,13
(C₂×C₄).₄D₉ = C₂×Dic₁₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).4D9	144,37
(C₂×C₄).₅D₉ = C₂×C₉⋊C₈	central extension (φ=1)	144		(C2xC4).5D9	144,9
(C₂×C₄).₆D₉ = C₄×Dic₉	central extension (φ=1)	144		(C2xC4).6D9	144,11

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