Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₄wrC₂

Direct product G=NxQ with N=C₁₀ and Q=C₄wrC₂

		d	ρ	Label	ID
C₁₀xC₄wrC₂		80		C10xC4wrC2	320,921

Semidirect products G=N:Q with N=C₁₀ and Q=C₄wrC₂

extension	φ:Q→Aut N	d	Label	ID
C₁₀:₁C₄wrC₂ = C₂xD₄:F₅	φ: C₄wrC₂/D₄ → C₄ ⊆ Aut C₁₀	80	C10:1C4wrC2	320,1106
C₁₀:₂C₄wrC₂ = C₂xQ₈:₂F₅	φ: C₄wrC₂/Q₈ → C₄ ⊆ Aut C₁₀	80	C10:2C4wrC2	320,1121
C₁₀:₃C₄wrC₂ = C₂xD₂₀:₄C₄	φ: C₄wrC₂/C₄² → C₂ ⊆ Aut C₁₀	80	C10:3C4wrC2	320,554
C₁₀:₄C₄wrC₂ = C₂xD₂₀:₇C₄	φ: C₄wrC₂/M₄(2) → C₂ ⊆ Aut C₁₀	80	C10:4C4wrC2	320,765
C₁₀:₅C₄wrC₂ = C₂xD₄:₂Dic₅	φ: C₄wrC₂/C₄oD₄ → C₂ ⊆ Aut C₁₀	80	C10:5C4wrC2	320,862

Non-split extensions G=N.Q with N=C₁₀ and Q=C₄wrC₂

extension	φ:Q→Aut N	d	Label	ID
C₁₀.₁C₄wrC₂ = D₁₀.₁Q₁₆	φ: C₄wrC₂/D₄ → C₄ ⊆ Aut C₁₀	80	C10.1C4wrC2	320,207
C₁₀.₂C₄wrC₂ = C₁₀.C₄wrC₂	φ: C₄wrC₂/D₄ → C₄ ⊆ Aut C₁₀	320	C10.2C4wrC2	320,208
C₁₀.₃C₄wrC₂ = Dic₁₀:₁C₈	φ: C₄wrC₂/D₄ → C₄ ⊆ Aut C₁₀	320	C10.3C4wrC2	320,210
C₁₀.₄C₄wrC₂ = D₁₀.SD₁₆	φ: C₄wrC₂/D₄ → C₄ ⊆ Aut C₁₀	80	C10.4C4wrC2	320,258
C₁₀.₅C₄wrC₂ = (C₂xD₄).F₅	φ: C₄wrC₂/D₄ → C₄ ⊆ Aut C₁₀	160	C10.5C4wrC2	320,259
C₁₀.₆C₄wrC₂ = Dic₅.₂₃D₈	φ: C₄wrC₂/D₄ → C₄ ⊆ Aut C₁₀	160	C10.6C4wrC2	320,262
C₁₀.₇C₄wrC₂ = D₁₀.₁D₈	φ: C₄wrC₂/Q₈ → C₄ ⊆ Aut C₁₀	80	C10.7C4wrC2	320,206
C₁₀.₈C₄wrC₂ = D₂₀:C₈	φ: C₄wrC₂/Q₈ → C₄ ⊆ Aut C₁₀	160	C10.8C4wrC2	320,209
C₁₀.₉C₄wrC₂ = C₂₀.C₄²	φ: C₄wrC₂/Q₈ → C₄ ⊆ Aut C₁₀	80	C10.9C4wrC2	320,213
C₁₀.₁₀C₄wrC₂ = D₁₀.Q₁₆	φ: C₄wrC₂/Q₈ → C₄ ⊆ Aut C₁₀	80	C10.10C4wrC2	320,264
C₁₀.₁₁C₄wrC₂ = (C₂xQ₈).F₅	φ: C₄wrC₂/Q₈ → C₄ ⊆ Aut C₁₀	160	C10.11C4wrC2	320,265
C₁₀.₁₂C₄wrC₂ = Dic₅.₁₂Q₁₆	φ: C₄wrC₂/Q₈ → C₄ ⊆ Aut C₁₀	320	C10.12C4wrC2	320,268
C₁₀.₁₃C₄wrC₂ = (C₂xD₂₀):C₄	φ: C₄wrC₂/C₄² → C₂ ⊆ Aut C₁₀	80	C10.13C4wrC2	320,9
C₁₀.₁₄C₄wrC₂ = C₄:Dic₅:C₄	φ: C₄wrC₂/C₄² → C₂ ⊆ Aut C₁₀	80	C10.14C4wrC2	320,10
C₁₀.₁₅C₄wrC₂ = Dic₁₀:₃C₈	φ: C₄wrC₂/C₄² → C₂ ⊆ Aut C₁₀	320	C10.15C4wrC2	320,14
C₁₀.₁₆C₄wrC₂ = D₂₀:₃C₈	φ: C₄wrC₂/C₄² → C₂ ⊆ Aut C₁₀	160	C10.16C4wrC2	320,17
C₁₀.₁₇C₄wrC₂ = C₄².D₁₀	φ: C₄wrC₂/C₄² → C₂ ⊆ Aut C₁₀	160	C10.17C4wrC2	320,22
C₁₀.₁₈C₄wrC₂ = C₄².₂D₁₀	φ: C₄wrC₂/C₄² → C₂ ⊆ Aut C₁₀	320	C10.18C4wrC2	320,23
C₁₀.₁₉C₄wrC₂ = C₄²:₆Dic₅	φ: C₄wrC₂/C₄² → C₂ ⊆ Aut C₁₀	80	C10.19C4wrC2	320,81
C₁₀.₂₀C₄wrC₂ = C₂³.₃₀D₂₀	φ: C₄wrC₂/M₄(2) → C₂ ⊆ Aut C₁₀	80	C10.20C4wrC2	320,25
C₁₀.₂₁C₄wrC₂ = C₂².₂D₄₀	φ: C₄wrC₂/M₄(2) → C₂ ⊆ Aut C₁₀	80	C10.21C4wrC2	320,28
C₁₀.₂₂C₄wrC₂ = D₂₀:₄C₈	φ: C₄wrC₂/M₄(2) → C₂ ⊆ Aut C₁₀	160	C10.22C4wrC2	320,41
C₁₀.₂₃C₄wrC₂ = Dic₁₀:₄C₈	φ: C₄wrC₂/M₄(2) → C₂ ⊆ Aut C₁₀	320	C10.23C4wrC2	320,42
C₁₀.₂₄C₄wrC₂ = C₂₀.₃₃C₄²	φ: C₄wrC₂/M₄(2) → C₂ ⊆ Aut C₁₀	80	C10.24C4wrC2	320,113
C₁₀.₂₅C₄wrC₂ = C₂₀.₃₂C₄²	φ: C₄wrC₂/C₄oD₄ → C₂ ⊆ Aut C₁₀	80	C10.25C4wrC2	320,90
C₁₀.₂₆C₄wrC₂ = C₂₀.₅₇D₈	φ: C₄wrC₂/C₄oD₄ → C₂ ⊆ Aut C₁₀	160	C10.26C4wrC2	320,92
C₁₀.₂₇C₄wrC₂ = C₂₀.₂₆Q₁₆	φ: C₄wrC₂/C₄oD₄ → C₂ ⊆ Aut C₁₀	320	C10.27C4wrC2	320,93
C₁₀.₂₈C₄wrC₂ = C₄:C₄:Dic₅	φ: C₄wrC₂/C₄oD₄ → C₂ ⊆ Aut C₁₀	80	C10.28C4wrC2	320,95
C₁₀.₂₉C₄wrC₂ = C₁₀.₂₉C₄wrC₂	φ: C₄wrC₂/C₄oD₄ → C₂ ⊆ Aut C₁₀	80	C10.29C4wrC2	320,96
C₁₀.₃₀C₄wrC₂ = C₄².₇D₁₀	φ: C₄wrC₂/C₄oD₄ → C₂ ⊆ Aut C₁₀	160	C10.30C4wrC2	320,98
C₁₀.₃₁C₄wrC₂ = C₄².₈D₁₀	φ: C₄wrC₂/C₄oD₄ → C₂ ⊆ Aut C₁₀	320	C10.31C4wrC2	320,101
C₁₀.₃₂C₄wrC₂ = C₅xD₄:C₈	central extension (φ=1)	160	C10.32C4wrC2	320,130
C₁₀.₃₃C₄wrC₂ = C₅xQ₈:C₈	central extension (φ=1)	320	C10.33C4wrC2	320,131
C₁₀.₃₄C₄wrC₂ = C₅xC₂².SD₁₆	central extension (φ=1)	80	C10.34C4wrC2	320,132
C₁₀.₃₅C₄wrC₂ = C₅xC₂³.₃₁D₄	central extension (φ=1)	80	C10.35C4wrC2	320,133
C₁₀.₃₆C₄wrC₂ = C₅xC₄².C₂²	central extension (φ=1)	160	C10.36C4wrC2	320,134
C₁₀.₃₇C₄wrC₂ = C₅xC₄².₂C₂²	central extension (φ=1)	320	C10.37C4wrC2	320,135
C₁₀.₃₈C₄wrC₂ = C₅xC₄²:₆C₄	central extension (φ=1)	80	C10.38C4wrC2	320,144

Extensions 1→N→G→Q→1 with N=C10 and Q=C4wrC2

Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₄wrC₂