Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×D₅²

Direct product G=N×Q with N=C₂ and Q=C₂×D₅²

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

Non-split extensions G=N.Q with N=C₂ and Q=C₂×D₅²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×D₅²) = C₄×D₅²	central extension (φ=1)	40	4	C2.1(C2xD5^2)	400,169
C₂.₂(C₂×D₅²) = C₂×D₅×Dic₅	central extension (φ=1)	80		C2.2(C2xD5^2)	400,172
C₂.₃(C₂×D₅²) = C₂×Dic₅⋊₂D₅	central extension (φ=1)	40		C2.3(C2xD5^2)	400,175
C₂.₄(C₂×D₅²) = D₅×Dic₁₀	central stem extension (φ=1)	80	4-	C2.4(C2xD5^2)	400,163
C₂.₅(C₂×D₅²) = D₂₀⋊₅D₅	central stem extension (φ=1)	80	4-	C2.5(C2xD5^2)	400,164
C₂.₆(C₂×D₅²) = D₂₀⋊D₅	central stem extension (φ=1)	40	4	C2.6(C2xD5^2)	400,165
C₂.₇(C₂×D₅²) = Dic₁₀⋊D₅	central stem extension (φ=1)	40	4	C2.7(C2xD5^2)	400,166
C₂.₈(C₂×D₅²) = D₁₀.₉D₁₀	central stem extension (φ=1)	40	4	C2.8(C2xD5^2)	400,167
C₂.₉(C₂×D₅²) = Dic₁₀⋊₅D₅	central stem extension (φ=1)	40	4+	C2.9(C2xD5^2)	400,168
C₂.₁₀(C₂×D₅²) = D₅×D₂₀	central stem extension (φ=1)	40	4+	C2.10(C2xD5^2)	400,170
C₂.₁₁(C₂×D₅²) = C₂₀⋊D₁₀	central stem extension (φ=1)	40	4	C2.11(C2xD5^2)	400,171
C₂.₁₂(C₂×D₅²) = Dic₅.D₁₀	central stem extension (φ=1)	40	4	C2.12(C2xD5^2)	400,173
C₂.₁₃(C₂×D₅²) = D₁₀.₄D₁₀	central stem extension (φ=1)	40	4-	C2.13(C2xD5^2)	400,174
C₂.₁₄(C₂×D₅²) = C₂×C₅²⋊₂D₄	central stem extension (φ=1)	80		C2.14(C2xD5^2)	400,176
C₂.₁₅(C₂×D₅²) = C₂×C₅⋊D₂₀	central stem extension (φ=1)	40		C2.15(C2xD5^2)	400,177
C₂.₁₆(C₂×D₅²) = C₂×C₅²⋊₂Q₈	central stem extension (φ=1)	80		C2.16(C2xD5^2)	400,178
C₂.₁₇(C₂×D₅²) = D₅×C₅⋊D₄	central stem extension (φ=1)	40	4	C2.17(C2xD5^2)	400,179
C₂.₁₈(C₂×D₅²) = D₁₀⋊D₁₀	central stem extension (φ=1)	20	4+	C2.18(C2xD5^2)	400,180

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