Extensions 1→N→G→Q→1 with N=C₂² and Q=D₅²

Direct product G=N×Q with N=C₂² and Q=D₅²

		d	ρ	Label	ID
C₂²×D₅²		40		C2^2xD5^2	400,218

Semidirect products G=N:Q with N=C₂² and Q=D₅²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₅² = D₅×C₅⋊D₄	φ: D₅²/C₅×D₅ → C₂ ⊆ Aut C₂²	40	4	C2^2:1D5^2	400,179
C₂²⋊₂D₅² = D₁₀⋊D₁₀	φ: D₅²/C₅⋊D₅ → C₂ ⊆ Aut C₂²	20	4+	C2^2:2D5^2	400,180

Non-split extensions G=N.Q with N=C₂² and Q=D₅²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₅² = Dic₅.D₁₀	φ: D₅²/C₅×D₅ → C₂ ⊆ Aut C₂²	40	4	C2^2.1D5^2	400,173
C₂².₂D₅² = D₁₀.₄D₁₀	φ: D₅²/C₅⋊D₅ → C₂ ⊆ Aut C₂²	40	4-	C2^2.2D5^2	400,174
C₂².₃D₅² = Dic₅²	central extension (φ=1)	80		C2^2.3D5^2	400,71
C₂².₄D₅² = D₁₀⋊Dic₅	central extension (φ=1)	80		C2^2.4D5^2	400,72
C₂².₅D₅² = C₁₀.D₂₀	central extension (φ=1)	40		C2^2.5D5^2	400,73
C₂².₆D₅² = Dic₅⋊Dic₅	central extension (φ=1)	80		C2^2.6D5^2	400,74
C₂².₇D₅² = C₁₀.Dic₁₀	central extension (φ=1)	80		C2^2.7D5^2	400,75
C₂².₈D₅² = C₂×D₅×Dic₅	central extension (φ=1)	80		C2^2.8D5^2	400,172
C₂².₉D₅² = C₂×Dic₅⋊₂D₅	central extension (φ=1)	40		C2^2.9D5^2	400,175
C₂².₁₀D₅² = C₂×C₅²⋊₂D₄	central extension (φ=1)	80		C2^2.10D5^2	400,176
C₂².₁₁D₅² = C₂×C₅⋊D₂₀	central extension (φ=1)	40		C2^2.11D5^2	400,177
C₂².₁₂D₅² = C₂×C₅²⋊₂Q₈	central extension (φ=1)	80		C2^2.12D5^2	400,178

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