Extensions 1→N→G→Q→1 with N=C₅xDic₅ and Q=C₂²

Direct product G=NxQ with N=C₅xDic₅ and Q=C₂²

		d	ρ	Label	ID
Dic₅xC₂xC₁₀		80		Dic5xC2xC10	400,189

Semidirect products G=N:Q with N=C₅xDic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xDic₅):₁C₂² = D₅xC₅:D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	40	4	(C5xDic5):1C2^2	400,179
(C₅xDic₅):₂C₂² = D₁₀:D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	20	4+	(C5xDic5):2C2^2	400,180
(C₅xDic₅):₃C₂² = D₅xD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40	4+	(C5xDic5):3C2^2	400,170
(C₅xDic₅):₄C₂² = C₂xC₅:D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40		(C5xDic5):4C2^2	400,177
(C₅xDic₅):₅C₂² = C₄xD₅²	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40	4	(C5xDic5):5C2^2	400,169
(C₅xDic₅):₆C₂² = C₂xD₅xDic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80		(C5xDic5):6C2^2	400,172
(C₅xDic₅):₇C₂² = C₂xDic₅:₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40		(C5xDic5):7C2^2	400,175
(C₅xDic₅):₈C₂² = C₅xD₄xD₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40	4	(C5xDic5):8C2^2	400,185
(C₅xDic₅):₉C₂² = C₁₀xC₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40		(C5xDic5):9C2^2	400,190
(C₅xDic₅):₁₀C₂² = D₅xC₂xC₂₀	φ: trivial image	80		(C5xDic5):10C2^2	400,182

Non-split extensions G=N.Q with N=C₅xDic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xDic₅).₁C₂² = D₅xDic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	80	4-	(C5xDic5).1C2^2	400,163
(C₅xDic₅).₂C₂² = D₂₀:D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	40	4	(C5xDic5).2C2^2	400,165
(C₅xDic₅).₃C₂² = Dic₁₀:D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	40	4	(C5xDic5).3C2^2	400,166
(C₅xDic₅).₄C₂² = Dic₁₀:₅D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	40	4+	(C5xDic5).4C2^2	400,168
(C₅xDic₅).₅C₂² = D₁₀.₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	40	4-	(C5xDic5).5C2^2	400,174
(C₅xDic₅).₆C₂² = D₅xC₅:C₈	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	80	8-	(C5xDic5).6C2^2	400,120
(C₅xDic₅).₇C₂² = Dic₅.₄F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	40	8+	(C5xDic5).7C2^2	400,121
(C₅xDic₅).₈C₂² = D₁₀.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	80	8-	(C5xDic5).8C2^2	400,122
(C₅xDic₅).₉C₂² = Dic₅.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅xDic₅	40	8+	(C5xDic5).9C2^2	400,123
(C₅xDic₅).₁₀C₂² = C₅xD₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80	4	(C5xDic5).10C2^2	400,135
(C₅xDic₅).₁₁C₂² = C₅xC₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80	4	(C5xDic5).11C2^2	400,136
(C₅xDic₅).₁₂C₂² = C₁₀xC₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80		(C5xDic5).12C2^2	400,139
(C₅xDic₅).₁₃C₂² = C₅xC₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40	4	(C5xDic5).13C2^2	400,140
(C₅xDic₅).₁₄C₂² = D₁₀.₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40	4	(C5xDic5).14C2^2	400,167
(C₅xDic₅).₁₅C₂² = C₂xC₅²:₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80		(C5xDic5).15C2^2	400,178
(C₅xDic₅).₁₆C₂² = C₂₀.₁₄F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80	4	(C5xDic5).16C2^2	400,142
(C₅xDic₅).₁₇C₂² = C₂₀.₁₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80	4	(C5xDic5).17C2^2	400,143
(C₅xDic₅).₁₈C₂² = C₂xC₅²:₃C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80		(C5xDic5).18C2^2	400,146
(C₅xDic₅).₁₉C₂² = C₁₀².C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40	4	(C5xDic5).19C2^2	400,147
(C₅xDic₅).₂₀C₂² = D₂₀:₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80	4-	(C5xDic5).20C2^2	400,164
(C₅xDic₅).₂₁C₂² = Dic₅.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40	4	(C5xDic5).21C2^2	400,173
(C₅xDic₅).₂₂C₂² = C₁₀xDic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80		(C5xDic5).22C2^2	400,181
(C₅xDic₅).₂₃C₂² = C₅xC₄oD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	40	2	(C5xDic5).23C2^2	400,184
(C₅xDic₅).₂₄C₂² = C₅xQ₈xD₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅xDic₅	80	4	(C5xDic5).24C2^2	400,187
(C₅xDic₅).₂₅C₂² = C₅xD₄:₂D₅	φ: trivial image	40	4	(C5xDic5).25C2^2	400,186
(C₅xDic₅).₂₆C₂² = C₅xQ₈:₂D₅	φ: trivial image	80	4	(C5xDic5).26C2^2	400,188

Extensions 1→N→G→Q→1 with N=C5xDic5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₅xDic₅ and Q=C₂²