Extensions 1→N→G→Q→1 with N=C₅₀ and Q=C₂xC₄

Direct product G=NxQ with N=C₅₀ and Q=C₂xC₄

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

Semidirect products G=N:Q with N=C₅₀ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀:(C₂xC₄) = C₂²xC₂₅:C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₀	100		C50:(C2xC4)	400,53
C₅₀:₂(C₂xC₄) = C₂xC₄xD₂₅	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₀	200		C50:2(C2xC4)	400,36
C₅₀:₃(C₂xC₄) = C₂²xDic₂₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₀	400		C50:3(C2xC4)	400,43

Non-split extensions G=N.Q with N=C₅₀ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀.₁(C₂xC₄) = D₂₅:C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₀	200	4	C50.1(C2xC4)	400,28
C₅₀.₂(C₂xC₄) = C₁₀₀.C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₀	200	4	C50.2(C2xC4)	400,29
C₅₀.₃(C₂xC₄) = C₄xC₂₅:C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₀	100	4	C50.3(C2xC4)	400,30
C₅₀.₄(C₂xC₄) = C₁₀₀:C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₀	100	4	C50.4(C2xC4)	400,31
C₅₀.₅(C₂xC₄) = C₂xC₂₅:C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₀	400		C50.5(C2xC4)	400,32
C₅₀.₆(C₂xC₄) = C₂₅:M₄(2)	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₀	200	4-	C50.6(C2xC4)	400,33
C₅₀.₇(C₂xC₄) = D₂₅.D₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₀	100	4+	C50.7(C2xC4)	400,34
C₅₀.₈(C₂xC₄) = C₈xD₂₅	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₀	200	2	C50.8(C2xC4)	400,5
C₅₀.₉(C₂xC₄) = C₈:D₂₅	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₀	200	2	C50.9(C2xC4)	400,6
C₅₀.₁₀(C₂xC₄) = C₄xDic₂₅	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₀	400		C50.10(C2xC4)	400,11
C₅₀.₁₁(C₂xC₄) = C₅₀.D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₀	400		C50.11(C2xC4)	400,12
C₅₀.₁₂(C₂xC₄) = D₅₀:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₀	200		C50.12(C2xC4)	400,14
C₅₀.₁₃(C₂xC₄) = C₂xC₂₅:₂C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₀	400		C50.13(C2xC4)	400,9
C₅₀.₁₄(C₂xC₄) = C₄.Dic₂₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₀	200	2	C50.14(C2xC4)	400,10
C₅₀.₁₅(C₂xC₄) = C₄:Dic₂₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₀	400		C50.15(C2xC4)	400,13
C₅₀.₁₆(C₂xC₄) = C₂³.D₂₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₀	200		C50.16(C2xC4)	400,19
C₅₀.₁₇(C₂xC₄) = C₂²:C₄xC₂₅	central extension (φ=1)	200		C50.17(C2xC4)	400,21
C₅₀.₁₈(C₂xC₄) = C₄:C₄xC₂₅	central extension (φ=1)	400		C50.18(C2xC4)	400,22
C₅₀.₁₉(C₂xC₄) = M₄(2)xC₂₅	central extension (φ=1)	200	2	C50.19(C2xC4)	400,24

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