Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄×D₁₃

Direct product G=N×Q with N=C₂² and Q=C₄×D₁₃

		d	ρ	Label	ID
C₂²×C₄×D₁₃		208		C2^2xC4xD13	416,213

Semidirect products G=N:Q with N=C₂² and Q=C₄×D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₄×D₁₃) = Dic₁₃⋊₄D₄	φ: C₄×D₁₃/Dic₁₃ → C₂ ⊆ Aut C₂²	208		C2^2:1(C4xD13)	416,102
C₂²⋊₂(C₄×D₁₃) = C₄×C₁₃⋊D₄	φ: C₄×D₁₃/C₅₂ → C₂ ⊆ Aut C₂²	208		C2^2:2(C4xD13)	416,149
C₂²⋊₃(C₄×D₁₃) = C₂²⋊C₄×D₁₃	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₂²	104		C2^2:3(C4xD13)	416,101

Non-split extensions G=N.Q with N=C₂² and Q=C₄×D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₄×D₁₃) = D₅₂.₂C₄	φ: C₄×D₁₃/Dic₁₃ → C₂ ⊆ Aut C₂²	208	4	C2^2.1(C4xD13)	416,128
C₂².₂(C₄×D₁₃) = D₅₂.₃C₄	φ: C₄×D₁₃/C₅₂ → C₂ ⊆ Aut C₂²	208	2	C2^2.2(C4xD13)	416,122
C₂².₃(C₄×D₁₃) = C₂².₂D₅₂	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.3(C4xD13)	416,13
C₂².₄(C₄×D₁₃) = C₅₂.₄₆D₄	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₂²	104	4+	C2^2.4(C4xD13)	416,30
C₂².₅(C₄×D₁₃) = C₄.₁₂D₅₂	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₂²	208	4-	C2^2.5(C4xD13)	416,31
C₂².₆(C₄×D₁₃) = C₂³.₁₁D₂₆	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₂²	208		C2^2.6(C4xD13)	416,98
C₂².₇(C₄×D₁₃) = M₄(2)×D₁₃	φ: C₄×D₁₃/D₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.7(C4xD13)	416,127
C₂².₈(C₄×D₁₃) = C₈×Dic₁₃	central extension (φ=1)	416		C2^2.8(C4xD13)	416,20
C₂².₉(C₄×D₁₃) = C₅₂.₈Q₈	central extension (φ=1)	416		C2^2.9(C4xD13)	416,21
C₂².₁₀(C₄×D₁₃) = C₁₀₄⋊₈C₄	central extension (φ=1)	416		C2^2.10(C4xD13)	416,22
C₂².₁₁(C₄×D₁₃) = D₂₆⋊₁C₈	central extension (φ=1)	208		C2^2.11(C4xD13)	416,27
C₂².₁₂(C₄×D₁₃) = C₂₆.₁₀C₄²	central extension (φ=1)	416		C2^2.12(C4xD13)	416,38
C₂².₁₃(C₄×D₁₃) = C₂×C₈×D₁₃	central extension (φ=1)	208		C2^2.13(C4xD13)	416,120
C₂².₁₄(C₄×D₁₃) = C₂×C₈⋊D₁₃	central extension (φ=1)	208		C2^2.14(C4xD13)	416,121
C₂².₁₅(C₄×D₁₃) = C₂×C₄×Dic₁₃	central extension (φ=1)	416		C2^2.15(C4xD13)	416,143
C₂².₁₆(C₄×D₁₃) = C₂×C₂₆.D₄	central extension (φ=1)	416		C2^2.16(C4xD13)	416,144
C₂².₁₇(C₄×D₁₃) = C₂×D₂₆⋊C₄	central extension (φ=1)	208		C2^2.17(C4xD13)	416,148

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