Extensions 1→N→G→Q→1 with N=C₂³ and Q=Dic₁₃

Direct product G=N×Q with N=C₂³ and Q=Dic₁₃

		d	ρ	Label	ID
C₂³×Dic₁₃		416		C2^3xDic13	416,225

Semidirect products G=N:Q with N=C₂³ and Q=Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊Dic₁₃ = C₂³⋊Dic₁₃	φ: Dic₁₃/C₁₃ → C₄ ⊆ Aut C₂³	104	4	C2^3:Dic13	416,41
C₂³⋊₂Dic₁₃ = C₂×C₂³.D₁₃	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3:2Dic13	416,173

Non-split extensions G=N.Q with N=C₂³ and Q=Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.Dic₁₃ = C₅₂.D₄	φ: Dic₁₃/C₁₃ → C₄ ⊆ Aut C₂³	104	4	C2^3.Dic13	416,40
C₂³.₂Dic₁₃ = C₅₂.₅₅D₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.2Dic13	416,37
C₂³.₃Dic₁₃ = C₂×C₅₂.₄C₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.3Dic13	416,142
C₂³.₄Dic₁₃ = C₂²×C₁₃⋊₂C₈	central extension (φ=1)	416		C2^3.4Dic13	416,141

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