Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=D₁₃

Direct product G=N×Q with N=C₂×C₈ and Q=D₁₃

		d	ρ	Label	ID
C₂×C₈×D₁₃		208		C2xC8xD13	416,120

Semidirect products G=N:Q with N=C₂×C₈ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁D₁₃ = D₂₆⋊₁C₈	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	208		(C2xC8):1D13	416,27
(C₂×C₈)⋊₂D₁₃ = D₅₂⋊₅C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	208		(C2xC8):2D13	416,28
(C₂×C₈)⋊₃D₁₃ = C₂×D₁₀₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	208		(C2xC8):3D13	416,124
(C₂×C₈)⋊₄D₁₃ = D₁₀₄⋊₇C₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	208	2	(C2xC8):4D13	416,125
(C₂×C₈)⋊₅D₁₃ = C₂×C₁₀₄⋊C₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	208		(C2xC8):5D13	416,123
(C₂×C₈)⋊₆D₁₃ = C₂×C₈⋊D₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	208		(C2xC8):6D13	416,121
(C₂×C₈)⋊₇D₁₃ = D₅₂.₃C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	208	2	(C2xC8):7D13	416,122

Non-split extensions G=N.Q with N=C₂×C₈ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁D₁₃ = C₅₂.₈Q₈	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	416		(C2xC8).1D13	416,21
(C₂×C₈).₂D₁₃ = C₅₂.₄₄D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	416		(C2xC8).2D13	416,23
(C₂×C₈).₃D₁₃ = C₁₀₄⋊₅C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	416		(C2xC8).3D13	416,25
(C₂×C₈).₄D₁₃ = C₂×Dic₅₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	416		(C2xC8).4D13	416,126
(C₂×C₈).₅D₁₃ = C₁₀₄.₆C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	208	2	(C2xC8).5D13	416,26
(C₂×C₈).₆D₁₃ = C₁₀₄⋊₆C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	416		(C2xC8).6D13	416,24
(C₂×C₈).₇D₁₃ = C₅₂.₄C₈	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	208	2	(C2xC8).7D13	416,19
(C₂×C₈).₈D₁₃ = C₁₀₄⋊₈C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₈	416		(C2xC8).8D13	416,22
(C₂×C₈).₉D₁₃ = C₂×C₁₃⋊₂C₁₆	central extension (φ=1)	416		(C2xC8).9D13	416,18
(C₂×C₈).₁₀D₁₃ = C₈×Dic₁₃	central extension (φ=1)	416		(C2xC8).10D13	416,20

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