Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₁₃

Direct product G=N×Q with N=C₂×C₄ and Q=D₁₃

		d	ρ	Label	ID
C₂×C₄×D₁₃		104		C2xC4xD13	208,36

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₁₃ = D₂₆⋊C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₄	104		(C2xC4):1D13	208,14
(C₂×C₄)⋊₂D₁₃ = C₂×D₅₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₄	104		(C2xC4):2D13	208,37
(C₂×C₄)⋊₃D₁₃ = D₅₂⋊₅C₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₄	104	2	(C2xC4):3D13	208,38

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₁₃ = C₂₆.D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4).1D13	208,12
(C₂×C₄).₂D₁₃ = C₅₂.₄C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₄	104	2	(C2xC4).2D13	208,10
(C₂×C₄).₃D₁₃ = C₅₂⋊₃C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4).3D13	208,13
(C₂×C₄).₄D₁₃ = C₂×Dic₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4).4D13	208,35
(C₂×C₄).₅D₁₃ = C₂×C₁₃⋊₂C₈	central extension (φ=1)	208		(C2xC4).5D13	208,9
(C₂×C₄).₆D₁₃ = C₄×Dic₁₃	central extension (φ=1)	208		(C2xC4).6D13	208,11

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