Extensions 1→N→G→Q→1 with N=C₂xD₄ and Q=C₂₆

Direct product G=NxQ with N=C₂xD₄ and Q=C₂₆

		d	ρ	Label	ID
D₄xC₂xC₂₆		208		D4xC2xC26	416,228

Semidirect products G=N:Q with N=C₂xD₄ and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄):₁C₂₆ = C₁₃xC₂²wrC₂	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	104		(C2xD4):1C26	416,181
(C₂xD₄):₂C₂₆ = C₁₃xC₄:D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	208		(C2xD4):2C26	416,182
(C₂xD₄):₃C₂₆ = C₁₃xC₄:₁D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	208		(C2xD4):3C26	416,188
(C₂xD₄):₄C₂₆ = D₈xC₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	208		(C2xD4):4C26	416,193
(C₂xD₄):₅C₂₆ = C₁₃xC₈:C₂²	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	104	4	(C2xD4):5C26	416,197
(C₂xD₄):₆C₂₆ = C₁₃x2₊¹⁺⁴	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	104	4	(C2xD4):6C26	416,231
(C₂xD₄):₇C₂₆ = C₄oD₄xC₂₆	φ: trivial image	208		(C2xD4):7C26	416,230

Non-split extensions G=N.Q with N=C₂xD₄ and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄).₁C₂₆ = C₁₃xC₂³:C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	104	4	(C2xD4).1C26	416,49
(C₂xD₄).₂C₂₆ = C₁₃xC₄.D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	104	4	(C2xD4).2C26	416,50
(C₂xD₄).₃C₂₆ = C₁₃xD₄:C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	208		(C2xD4).3C26	416,52
(C₂xD₄).₄C₂₆ = C₁₃xC₂².D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	208		(C2xD4).4C26	416,184
(C₂xD₄).₅C₂₆ = C₁₃xC₄.₄D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	208		(C2xD4).5C26	416,185
(C₂xD₄).₆C₂₆ = SD₁₆xC₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂xD₄	208		(C2xD4).6C26	416,194
(C₂xD₄).₇C₂₆ = D₄xC₅₂	φ: trivial image	208		(C2xD4).7C26	416,179

׿

x

:

Z

F

o

wr

Q

<