Extensions 1→N→G→Q→1 with N=C₈ and Q=Dic₁₃

Direct product G=N×Q with N=C₈ and Q=Dic₁₃

		d	ρ	Label	ID
C₈×Dic₁₃		416		C8xDic13	416,20

Semidirect products G=N:Q with N=C₈ and Q=Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁Dic₁₃ = C₁₀₄⋊₅C₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₈	416		C8:1Dic13	416,25
C₈⋊₂Dic₁₃ = C₁₀₄⋊₆C₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₈	416		C8:2Dic13	416,24
C₈⋊₃Dic₁₃ = C₁₀₄⋊₈C₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₈	416		C8:3Dic13	416,22

Non-split extensions G=N.Q with N=C₈ and Q=Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁Dic₁₃ = C₁₀₄.₆C₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₈	208	2	C8.1Dic13	416,26
C₈.₂Dic₁₃ = C₅₂.₄C₈	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₈	208	2	C8.2Dic13	416,19
C₈.₃Dic₁₃ = C₁₃⋊₂C₃₂	central extension (φ=1)	416	2	C8.3Dic13	416,1
C₈.₄Dic₁₃ = C₂×C₁₃⋊₂C₁₆	central extension (φ=1)	416		C8.4Dic13	416,18

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