Extensions 1→N→G→Q→1 with N=D₅×C₁₀ and Q=C₂²

Direct product G=N×Q with N=D₅×C₁₀ and Q=C₂²

		d	ρ	Label	ID
D₅×C₂²×C₁₀		80		D5xC2^2xC10	400,219

Semidirect products G=N:Q with N=D₅×C₁₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₀)⋊₁C₂² = D₅×D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	40	4+	(D5xC10):1C2^2	400,170
(D₅×C₁₀)⋊₂C₂² = C₂₀⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	40	4	(D5xC10):2C2^2	400,171
(D₅×C₁₀)⋊₃C₂² = D₅×C₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	40	4	(D5xC10):3C2^2	400,179
(D₅×C₁₀)⋊₄C₂² = D₁₀⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	20	4+	(D5xC10):4C2^2	400,180
(D₅×C₁₀)⋊₅C₂² = C₂×C₅²⋊₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80		(D5xC10):5C2^2	400,176
(D₅×C₁₀)⋊₆C₂² = C₂×C₅⋊D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40		(D5xC10):6C2^2	400,177
(D₅×C₁₀)⋊₇C₂² = C₁₀×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80		(D5xC10):7C2^2	400,183
(D₅×C₁₀)⋊₈C₂² = C₅×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40	4	(D5xC10):8C2^2	400,185
(D₅×C₁₀)⋊₉C₂² = C₁₀×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40		(D5xC10):9C2^2	400,190
(D₅×C₁₀)⋊₁₀C₂² = C₂²×D₅²	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40		(D5xC10):10C2^2	400,218

Non-split extensions G=N.Q with N=D₅×C₁₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₀).₁C₂² = D₂₀⋊₅D₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	80	4-	(D5xC10).1C2^2	400,164
(D₅×C₁₀).₂C₂² = D₂₀⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	40	4	(D5xC10).2C2^2	400,165
(D₅×C₁₀).₃C₂² = Dic₅.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	40	4	(D5xC10).3C2^2	400,173
(D₅×C₁₀).₄C₂² = D₁₀.₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	40	4-	(D5xC10).4C2^2	400,174
(D₅×C₁₀).₅C₂² = Dic₅×F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	80	8-	(D5xC10).5C2^2	400,117
(D₅×C₁₀).₆C₂² = D₅.D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	40	8+	(D5xC10).6C2^2	400,118
(D₅×C₁₀).₇C₂² = D₅.Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	80	8-	(D5xC10).7C2^2	400,119
(D₅×C₁₀).₈C₂² = C₂×D₅×F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅×C₁₀	40	8+	(D5xC10).8C2^2	400,209
(D₅×C₁₀).₉C₂² = D₅×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4-	(D5xC10).9C2^2	400,163
(D₅×C₁₀).₁₀C₂² = D₁₀.₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40	4	(D5xC10).10C2^2	400,167
(D₅×C₁₀).₁₁C₂² = Dic₁₀⋊₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40	4+	(D5xC10).11C2^2	400,168
(D₅×C₁₀).₁₂C₂² = C₄×D₅²	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40	4	(D5xC10).12C2^2	400,169
(D₅×C₁₀).₁₃C₂² = C₂×D₅×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80		(D5xC10).13C2^2	400,172
(D₅×C₁₀).₁₄C₂² = C₅×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40	2	(D5xC10).14C2^2	400,184
(D₅×C₁₀).₁₅C₂² = C₅×D₄⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40	4	(D5xC10).15C2^2	400,186
(D₅×C₁₀).₁₆C₂² = C₅×Q₈⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).16C2^2	400,188
(D₅×C₁₀).₁₇C₂² = C₂₀×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).17C2^2	400,137
(D₅×C₁₀).₁₈C₂² = C₅×C₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).18C2^2	400,138
(D₅×C₁₀).₁₉C₂² = C₅×C₂²⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40	4	(D5xC10).19C2^2	400,141
(D₅×C₁₀).₂₀C₂² = C₄×D₅.D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).20C2^2	400,144
(D₅×C₁₀).₂₁C₂² = C₂₀⋊₅F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).21C2^2	400,145
(D₅×C₁₀).₂₂C₂² = D₁₀.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	40	4	(D5xC10).22C2^2	400,148
(D₅×C₁₀).₂₃C₂² = F₅×C₂×C₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80		(D5xC10).23C2^2	400,214
(D₅×C₁₀).₂₄C₂² = C₂²×D₅.D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×C₁₀	80		(D5xC10).24C2^2	400,215
(D₅×C₁₀).₂₅C₂² = D₅×C₂×C₂₀	φ: trivial image	80		(D5xC10).25C2^2	400,182
(D₅×C₁₀).₂₆C₂² = C₅×Q₈×D₅	φ: trivial image	80	4	(D5xC10).26C2^2	400,187

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Extensions 1→N→G→Q→1 with N=D5×C10 and Q=C22

Extensions 1→N→G→Q→1 with N=D₅×C₁₀ and Q=C₂²