Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=D₂₃

Direct product G=NxQ with N=C₂xC₄ and Q=D₂₃

		d	ρ	Label	ID
C₂xC₄xD₂₃		184		C2xC4xD23	368,28

Semidirect products G=N:Q with N=C₂xC₄ and Q=D₂₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁D₂₃ = D₄₆:C₄	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂xC₄	184		(C2xC4):1D23	368,13
(C₂xC₄):₂D₂₃ = C₂xD₉₂	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂xC₄	184		(C2xC4):2D23	368,29
(C₂xC₄):₃D₂₃ = D₉₂:₅C₂	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂xC₄	184	2	(C2xC4):3D23	368,30

Non-split extensions G=N.Q with N=C₂xC₄ and Q=D₂₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁D₂₃ = Dic₂₃:C₄	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂xC₄	368		(C2xC4).1D23	368,11
(C₂xC₄).₂D₂₃ = C₉₂.C₄	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂xC₄	184	2	(C2xC4).2D23	368,9
(C₂xC₄).₃D₂₃ = C₉₂:C₄	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂xC₄	368		(C2xC4).3D23	368,12
(C₂xC₄).₄D₂₃ = C₂xDic₄₆	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂xC₄	368		(C2xC4).4D23	368,27
(C₂xC₄).₅D₂₃ = C₂xC₂₃:C₈	central extension (φ=1)	368		(C2xC4).5D23	368,8
(C₂xC₄).₆D₂₃ = C₄xDic₂₃	central extension (φ=1)	368		(C2xC4).6D23	368,10

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