Extensions 1→N→G→Q→1 with N=C₄² and Q=D₁₃

Direct product G=NxQ with N=C₄² and Q=D₁₃

		d	ρ	Label	ID
C₄²xD₁₃		208		C4^2xD13	416,92

Semidirect products G=N:Q with N=C₄² and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²:₁D₁₃ = C₄²:D₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	208		C4^2:1D13	416,93
C₄²:₂D₁₃ = C₄²:₂D₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	208		C4^2:2D13	416,97
C₄²:₃D₁₃ = D₅₂:₄C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	104	2	C4^2:3D13	416,12
C₄²:₄D₁₃ = C₄xD₅₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	208		C4^2:4D13	416,94
C₄²:₅D₁₃ = C₄:D₅₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	208		C4^2:5D13	416,95
C₄²:₆D₁₃ = C₄.D₅₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	208		C4^2:6D13	416,96

Non-split extensions G=N.Q with N=C₄² and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁D₁₃ = C₂₆.₇C₄²	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	416		C4^2.1D13	416,10
C₄².₂D₁₃ = C₅₂:₃C₈	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	416		C4^2.2D13	416,11
C₄².₃D₁₃ = C₄xDic₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	416		C4^2.3D13	416,89
C₄².₄D₁₃ = C₅₂:₂Q₈	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	416		C4^2.4D13	416,90
C₄².₅D₁₃ = C₅₂.₆Q₈	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₄²	416		C4^2.5D13	416,91
C₄².₆D₁₃ = C₄xC₁₃:₂C₈	central extension (φ=1)	416		C4^2.6D13	416,9

׿

x

:

Z

F

o

wr

Q

<