Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×Dic₁₃

Direct product G=N×Q with N=C₂² and Q=C₂×Dic₁₃

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

Semidirect products G=N:Q with N=C₂² and Q=C₂×Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂×Dic₁₃) = D₄×Dic₁₃	φ: C₂×Dic₁₃/Dic₁₃ → C₂ ⊆ Aut C₂²	208		C2^2:1(C2xDic13)	416,155
C₂²⋊₂(C₂×Dic₁₃) = C₂×C₂³.D₁₃	φ: C₂×Dic₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	208		C2^2:2(C2xDic13)	416,173

Non-split extensions G=N.Q with N=C₂² and Q=C₂×Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×Dic₁₃) = D₄.Dic₁₃	φ: C₂×Dic₁₃/Dic₁₃ → C₂ ⊆ Aut C₂²	208	4	C2^2.1(C2xDic13)	416,169
C₂².₂(C₂×Dic₁₃) = C₅₂.D₄	φ: C₂×Dic₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.2(C2xDic13)	416,40
C₂².₃(C₂×Dic₁₃) = C₂³⋊Dic₁₃	φ: C₂×Dic₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.3(C2xDic13)	416,41
C₂².₄(C₂×Dic₁₃) = C₅₂.₁₀D₄	φ: C₂×Dic₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	208	4	C2^2.4(C2xDic13)	416,43
C₂².₅(C₂×Dic₁₃) = C₂³.₂₁D₂₆	φ: C₂×Dic₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	208		C2^2.5(C2xDic13)	416,147
C₂².₆(C₂×Dic₁₃) = C₄×C₁₃⋊₂C₈	central extension (φ=1)	416		C2^2.6(C2xDic13)	416,9
C₂².₇(C₂×Dic₁₃) = C₂₆.₇C₄²	central extension (φ=1)	416		C2^2.7(C2xDic13)	416,10
C₂².₈(C₂×Dic₁₃) = C₅₂⋊₃C₈	central extension (φ=1)	416		C2^2.8(C2xDic13)	416,11
C₂².₉(C₂×Dic₁₃) = C₅₂.₅₅D₄	central extension (φ=1)	208		C2^2.9(C2xDic13)	416,37
C₂².₁₀(C₂×Dic₁₃) = C₂₆.₁₀C₄²	central extension (φ=1)	416		C2^2.10(C2xDic13)	416,38
C₂².₁₁(C₂×Dic₁₃) = C₂²×C₁₃⋊₂C₈	central extension (φ=1)	416		C2^2.11(C2xDic13)	416,141
C₂².₁₂(C₂×Dic₁₃) = C₂×C₅₂.₄C₄	central extension (φ=1)	208		C2^2.12(C2xDic13)	416,142
C₂².₁₃(C₂×Dic₁₃) = C₂×C₄×Dic₁₃	central extension (φ=1)	416		C2^2.13(C2xDic13)	416,143
C₂².₁₄(C₂×Dic₁₃) = C₂×C₅₂⋊₃C₄	central extension (φ=1)	416		C2^2.14(C2xDic13)	416,146

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