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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊D₅)⋊₁C₂² = D₅×D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	40	4+	(C2xC5:D5):1C2^2	400,170
(C₂×C₅⋊D₅)⋊₂C₂² = D₅×C₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	40	4	(C2xC5:D5):2C2^2	400,179
(C₂×C₅⋊D₅)⋊₃C₂² = C₂×C₅⋊D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40		(C2xC5:D5):3C2^2	400,177
(C₂×C₅⋊D₅)⋊₄C₂² = D₁₀⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	20	4+	(C2xC5:D5):4C2^2	400,180
(C₂×C₅⋊D₅)⋊₅C₂² = C₂×C₂₀⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	200		(C2xC5:D5):5C2^2	400,193
(C₂×C₅⋊D₅)⋊₆C₂² = D₄×C₅⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	100		(C2xC5:D5):6C2^2	400,195
(C₂×C₅⋊D₅)⋊₇C₂² = C₂×C₅²⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	200		(C2xC5:D5):7C2^2	400,200
(C₂×C₅⋊D₅)⋊₈C₂² = C₂²×D₅²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40		(C2xC5:D5):8C2^2	400,218

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊D₅).₁C₂² = Dic₁₀⋊₅D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	40	4+	(C2xC5:D5).1C2^2	400,168
(C₂×C₅⋊D₅).₂C₂² = Dic₅.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	40	4	(C2xC5:D5).2C2^2	400,173
(C₂×C₅⋊D₅).₃C₂² = C₅²⋊₃C₄²	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	20	8+	(C2xC5:D5).3C2^2	400,124
(C₂×C₅⋊D₅).₄C₂² = D₁₀⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	20	8+	(C2xC5:D5).4C2^2	400,125
(C₂×C₅⋊D₅).₅C₂² = Dic₅⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	20	8+	(C2xC5:D5).5C2^2	400,126
(C₂×C₅⋊D₅).₆C₂² = D₅²⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	20	4+	(C2xC5:D5).6C2^2	400,129
(C₂×C₅⋊D₅).₇C₂² = C₂.D₅≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	20	4	(C2xC5:D5).7C2^2	400,130
(C₂×C₅⋊D₅).₈C₂² = (C₅×C₁₀).Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	20	8+	(C2xC5:D5).8C2^2	400,134
(C₂×C₅⋊D₅).₉C₂² = C₂×D₅⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	20	8+	(C2xC5:D5).9C2^2	400,210
(C₂×C₅⋊D₅).₁₀C₂² = C₂×D₅≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	20	4+	(C2xC5:D5).10C2^2	400,211
(C₂×C₅⋊D₅).₁₁C₂² = C₂×C₅²⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊D₅	20	8+	(C2xC5:D5).11C2^2	400,212
(C₂×C₅⋊D₅).₁₂C₂² = D₂₀⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40	4	(C2xC5:D5).12C2^2	400,165
(C₂×C₅⋊D₅).₁₃C₂² = Dic₁₀⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40	4	(C2xC5:D5).13C2^2	400,166
(C₂×C₅⋊D₅).₁₄C₂² = D₁₀.₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40	4	(C2xC5:D5).14C2^2	400,167
(C₂×C₅⋊D₅).₁₅C₂² = C₄×D₅²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40	4	(C2xC5:D5).15C2^2	400,169
(C₂×C₅⋊D₅).₁₆C₂² = C₂₀⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40	4	(C2xC5:D5).16C2^2	400,171
(C₂×C₅⋊D₅).₁₇C₂² = C₂×Dic₅⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40		(C2xC5:D5).17C2^2	400,175
(C₂×C₅⋊D₅).₁₈C₂² = C₂₀.₅₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	200		(C2xC5:D5).18C2^2	400,194
(C₂×C₅⋊D₅).₁₉C₂² = C₂₀.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	200		(C2xC5:D5).19C2^2	400,196
(C₂×C₅⋊D₅).₂₀C₂² = C₂₀.₂₆D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	200		(C2xC5:D5).20C2^2	400,198
(C₂×C₅⋊D₅).₂₁C₂² = C₄×C₅⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	100		(C2xC5:D5).21C2^2	400,151
(C₂×C₅⋊D₅).₂₂C₂² = C₂₀⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	100		(C2xC5:D5).22C2^2	400,152
(C₂×C₅⋊D₅).₂₃C₂² = C₁₀²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	100		(C2xC5:D5).23C2^2	400,155
(C₂×C₅⋊D₅).₂₄C₂² = C₄×C₅²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40	4	(C2xC5:D5).24C2^2	400,158
(C₂×C₅⋊D₅).₂₅C₂² = C₂₀⋊₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40	4	(C2xC5:D5).25C2^2	400,159
(C₂×C₅⋊D₅).₂₆C₂² = C₁₀²⋊₄C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	20	4+	(C2xC5:D5).26C2^2	400,162
(C₂×C₅⋊D₅).₂₇C₂² = C₂²×C₅⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	100		(C2xC5:D5).27C2^2	400,216
(C₂×C₅⋊D₅).₂₈C₂² = C₂²×C₅²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊D₅	40		(C2xC5:D5).28C2^2	400,217
(C₂×C₅⋊D₅).₂₉C₂² = C₂×C₄×C₅⋊D₅	φ: trivial image	200		(C2xC5:D5).29C2^2	400,192
(C₂×C₅⋊D₅).₃₀C₂² = Q₈×C₅⋊D₅	φ: trivial image	200		(C2xC5:D5).30C2^2	400,197

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

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