Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₅⋊D₅

Direct product G=N×Q with N=C₂² and Q=C₂×C₅⋊D₅

		d	ρ	Label	ID
C₂³×C₅⋊D₅		200		C2^3xC5:D5	400,220

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₅⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂×C₅⋊D₅) = D₄×C₅⋊D₅	φ: C₂×C₅⋊D₅/C₅⋊D₅ → C₂ ⊆ Aut C₂²	100		C2^2:1(C2xC5:D5)	400,195
C₂²⋊₂(C₂×C₅⋊D₅) = C₂×C₅²⋊₇D₄	φ: C₂×C₅⋊D₅/C₅×C₁₀ → C₂ ⊆ Aut C₂²	200		C2^2:2(C2xC5:D5)	400,200

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₅⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×C₅⋊D₅) = C₂₀.D₁₀	φ: C₂×C₅⋊D₅/C₅⋊D₅ → C₂ ⊆ Aut C₂²	200		C2^2.1(C2xC5:D5)	400,196
C₂².₂(C₂×C₅⋊D₅) = C₂₀.₅₀D₁₀	φ: C₂×C₅⋊D₅/C₅×C₁₀ → C₂ ⊆ Aut C₂²	200		C2^2.2(C2xC5:D5)	400,194
C₂².₃(C₂×C₅⋊D₅) = C₄×C₅²⋊₆C₄	central extension (φ=1)	400		C2^2.3(C2xC5:D5)	400,99
C₂².₄(C₂×C₅⋊D₅) = C₁₀².₂₂C₂²	central extension (φ=1)	400		C2^2.4(C2xC5:D5)	400,100
C₂².₅(C₂×C₅⋊D₅) = C₂₀⋊₃Dic₅	central extension (φ=1)	400		C2^2.5(C2xC5:D5)	400,101
C₂².₆(C₂×C₅⋊D₅) = C₁₀.₁₁D₂₀	central extension (φ=1)	200		C2^2.6(C2xC5:D5)	400,102
C₂².₇(C₂×C₅⋊D₅) = C₁₀²⋊₁₁C₄	central extension (φ=1)	200		C2^2.7(C2xC5:D5)	400,107
C₂².₈(C₂×C₅⋊D₅) = C₂×C₅²⋊₄Q₈	central extension (φ=1)	400		C2^2.8(C2xC5:D5)	400,191
C₂².₉(C₂×C₅⋊D₅) = C₂×C₄×C₅⋊D₅	central extension (φ=1)	200		C2^2.9(C2xC5:D5)	400,192
C₂².₁₀(C₂×C₅⋊D₅) = C₂×C₂₀⋊D₅	central extension (φ=1)	200		C2^2.10(C2xC5:D5)	400,193
C₂².₁₁(C₂×C₅⋊D₅) = C₂²×C₅²⋊₆C₄	central extension (φ=1)	400		C2^2.11(C2xC5:D5)	400,199

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