Extensions 1→N→G→Q→1 with N=D₁₀.₃Q₈ and Q=C₂

Direct product G=N×Q with N=D₁₀.₃Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₀.₃Q₈		80		C2xD10.3Q8	320,1100

Semidirect products G=N:Q with N=D₁₀.₃Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₃Q₈⋊₁C₂ = D₁₀.₁D₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8:1C2	320,206
D₁₀.₃Q₈⋊₂C₂ = D₁₀.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8:2C2	320,258
D₁₀.₃Q₈⋊₃C₂ = (C₂×F₅)⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	40		D10.3Q8:3C2	320,1117
D₁₀.₃Q₈⋊₄C₂ = (C₂²×C₄)⋊₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8:4C2	320,1102
D₁₀.₃Q₈⋊₅C₂ = D₁₀⋊₆(C₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8:5C2	320,1103
D₁₀.₃Q₈⋊₆C₂ = D₁₀⋊(C₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	40		D10.3Q8:6C2	320,1037
D₁₀.₃Q₈⋊₇C₂ = C₂²⋊C₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	40		D10.3Q8:7C2	320,1036
D₁₀.₃Q₈⋊₈C₂ = C₁₀.(C₄×D₄)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8:8C2	320,1038
D₁₀.₃Q₈⋊₉C₂ = C₄×C₂²⋊F₅	φ: trivial image	80		D10.3Q8:9C2	320,1101

Non-split extensions G=N.Q with N=D₁₀.₃Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₃Q₈.₁C₂ = D₁₀.₁Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8.1C2	320,207
D₁₀.₃Q₈.₂C₂ = D₁₀.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8.2C2	320,264
D₁₀.₃Q₈.₃C₂ = (C₂×F₅)⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8.3C2	320,1128
D₁₀.₃Q₈.₄C₂ = C₄²⋊₉F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8.4C2	320,1027
D₁₀.₃Q₈.₅C₂ = C₄²⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8.5C2	320,1028
D₁₀.₃Q₈.₆C₂ = C₄⋊C₄⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8.6C2	320,1049
D₁₀.₃Q₈.₇C₂ = C₂₀⋊(C₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8.7C2	320,1050
D₁₀.₃Q₈.₈C₂ = C₄⋊C₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.₃Q₈	80		D10.3Q8.8C2	320,1048
D₁₀.₃Q₈.₉C₂ = C₄²⋊₄F₅	φ: trivial image	80		D10.3Q8.9C2	320,1024
D₁₀.₃Q₈.₁₀C₂ = C₄×C₄⋊F₅	φ: trivial image	80		D10.3Q8.10C2	320,1025

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