Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₅₀

Direct product G=NxQ with N=C₄ and Q=C₂xC₅₀

		d	ρ	Label	ID
C₂²xC₁₀₀		400		C2^2xC100	400,45

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂xC₅₀) = D₄xC₅₀	φ: C₂xC₅₀/C₅₀ → C₂ ⊆ Aut C₄	200		C4:(C2xC50)	400,46

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₅₀) = D₈xC₂₅	φ: C₂xC₅₀/C₅₀ → C₂ ⊆ Aut C₄	200	2	C4.1(C2xC50)	400,25
C₄.₂(C₂xC₅₀) = SD₁₆xC₂₅	φ: C₂xC₅₀/C₅₀ → C₂ ⊆ Aut C₄	200	2	C4.2(C2xC50)	400,26
C₄.₃(C₂xC₅₀) = Q₁₆xC₂₅	φ: C₂xC₅₀/C₅₀ → C₂ ⊆ Aut C₄	400	2	C4.3(C2xC50)	400,27
C₄.₄(C₂xC₅₀) = Q₈xC₅₀	φ: C₂xC₅₀/C₅₀ → C₂ ⊆ Aut C₄	400		C4.4(C2xC50)	400,47
C₄.₅(C₂xC₅₀) = M₄(2)xC₂₅	central extension (φ=1)	200	2	C4.5(C2xC50)	400,24
C₄.₆(C₂xC₅₀) = C₄oD₄xC₂₅	central extension (φ=1)	200	2	C4.6(C2xC50)	400,48

׿

x

:

Z

F

o

wr

Q

<