Extensions 1→N→G→Q→1 with N=C₈ and Q=C₁₃⋊C₄

Direct product G=N×Q with N=C₈ and Q=C₁₃⋊C₄

		d	ρ	Label	ID
C₈×C₁₃⋊C₄		104	4	C8xC13:C4	416,66

Semidirect products G=N:Q with N=C₈ and Q=C₁₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₁₃⋊C₄) = D₁₃.D₈	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₈	104	4	C8:1(C13:C4)	416,69
C₈⋊₂(C₁₃⋊C₄) = D₂₆.₈D₄	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₈	104	4	C8:2(C13:C4)	416,68
C₈⋊₃(C₁₃⋊C₄) = C₁₀₄⋊C₄	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₈	104	4	C8:3(C13:C4)	416,67

Non-split extensions G=N.Q with N=C₈ and Q=C₁₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₁₃⋊C₄) = C₁₀₄.₁C₄	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₈	208	4	C8.1(C13:C4)	416,71
C₈.₂(C₁₃⋊C₄) = C₁₀₄.C₄	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₈	208	4	C8.2(C13:C4)	416,70
C₈.₃(C₁₃⋊C₄) = D₂₆.C₈	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₈	208	4	C8.3(C13:C4)	416,65
C₈.₄(C₁₃⋊C₄) = C₁₃⋊C₃₂	central extension (φ=1)	416	4	C8.4(C13:C4)	416,3
C₈.₅(C₁₃⋊C₄) = D₁₃⋊C₁₆	central extension (φ=1)	208	4	C8.5(C13:C4)	416,64

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