Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×Dic₁₃

Direct product G=N×Q with N=C₄ and Q=C₂×Dic₁₃

		d	ρ	Label	ID
C₂×C₄×Dic₁₃		416		C2xC4xDic13	416,143

Semidirect products G=N:Q with N=C₄ and Q=C₂×Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₂×Dic₁₃) = D₄×Dic₁₃	φ: C₂×Dic₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	208		C4:1(C2xDic13)	416,155
C₄⋊₂(C₂×Dic₁₃) = C₂×C₅₂⋊₃C₄	φ: C₂×Dic₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₄	416		C4:2(C2xDic13)	416,146

Non-split extensions G=N.Q with N=C₄ and Q=C₂×Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×Dic₁₃) = D₄⋊Dic₁₃	φ: C₂×Dic₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	208		C4.1(C2xDic13)	416,39
C₄.₂(C₂×Dic₁₃) = Q₈⋊Dic₁₃	φ: C₂×Dic₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	416		C4.2(C2xDic13)	416,42
C₄.₃(C₂×Dic₁₃) = C₅₂.₅₆D₄	φ: C₂×Dic₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	104	4	C4.3(C2xDic13)	416,44
C₄.₄(C₂×Dic₁₃) = Q₈×Dic₁₃	φ: C₂×Dic₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	416		C4.4(C2xDic13)	416,166
C₄.₅(C₂×Dic₁₃) = D₄.Dic₁₃	φ: C₂×Dic₁₃/Dic₁₃ → C₂ ⊆ Aut C₄	208	4	C4.5(C2xDic13)	416,169
C₄.₆(C₂×Dic₁₃) = C₁₀₄⋊₆C₄	φ: C₂×Dic₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₄	416		C4.6(C2xDic13)	416,24
C₄.₇(C₂×Dic₁₃) = C₁₀₄⋊₅C₄	φ: C₂×Dic₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₄	416		C4.7(C2xDic13)	416,25
C₄.₈(C₂×Dic₁₃) = C₁₀₄.₆C₄	φ: C₂×Dic₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₄	208	2	C4.8(C2xDic13)	416,26
C₄.₉(C₂×Dic₁₃) = C₂×C₅₂.₄C₄	φ: C₂×Dic₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₄	208		C4.9(C2xDic13)	416,142
C₄.₁₀(C₂×Dic₁₃) = C₂×C₁₃⋊₂C₁₆	central extension (φ=1)	416		C4.10(C2xDic13)	416,18
C₄.₁₁(C₂×Dic₁₃) = C₅₂.₄C₈	central extension (φ=1)	208	2	C4.11(C2xDic13)	416,19
C₄.₁₂(C₂×Dic₁₃) = C₈×Dic₁₃	central extension (φ=1)	416		C4.12(C2xDic13)	416,20
C₄.₁₃(C₂×Dic₁₃) = C₁₀₄⋊₈C₄	central extension (φ=1)	416		C4.13(C2xDic13)	416,22
C₄.₁₄(C₂×Dic₁₃) = C₂²×C₁₃⋊₂C₈	central extension (φ=1)	416		C4.14(C2xDic13)	416,141
C₄.₁₅(C₂×Dic₁₃) = C₂³.₂₁D₂₆	central extension (φ=1)	208		C4.15(C2xDic13)	416,147

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