Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₂₃

Direct product G=N×Q with N=C₂×C₄ and Q=D₂₃

		d	ρ	Label	ID
C₂×C₄×D₂₃		184		C2xC4xD23	368,28

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₂₃

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

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₂₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₂₃ = Dic₂₃⋊C₄	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂×C₄	368		(C2xC4).1D23	368,11
(C₂×C₄).₂D₂₃ = C₉₂.C₄	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂×C₄	184	2	(C2xC4).2D23	368,9
(C₂×C₄).₃D₂₃ = C₉₂⋊C₄	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂×C₄	368		(C2xC4).3D23	368,12
(C₂×C₄).₄D₂₃ = C₂×Dic₄₆	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₂×C₄	368		(C2xC4).4D23	368,27
(C₂×C₄).₅D₂₃ = C₂×C₂₃⋊C₈	central extension (φ=1)	368		(C2xC4).5D23	368,8
(C₂×C₄).₆D₂₃ = C₄×Dic₂₃	central extension (φ=1)	368		(C2xC4).6D23	368,10

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