Extensions 1→N→G→Q→1 with N=C₂xDic₅ and Q=C₂²

Direct product G=NxQ with N=C₂xDic₅ and Q=C₂²

		d	ρ	Label	ID
C₂³xDic₅		160		C2^3xDic5	160,226

Semidirect products G=N:Q with N=C₂xDic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₅):₁C₂² = C₂²:D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	40		(C2xDic5):1C2^2	160,103
(C₂xDic₅):₂C₂² = C₂³:D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	40		(C2xDic5):2C2^2	160,158
(C₂xDic₅):₃C₂² = C₂⁴:₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	40		(C2xDic5):3C2^2	160,174
(C₂xDic₅):₄C₂² = D₄:₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	40	4	(C2xDic5):4C2^2	160,219
(C₂xDic₅):₅C₂² = D₅xC₂²:C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	40		(C2xDic5):5C2^2	160,101
(C₂xDic₅):₆C₂² = C₂xD₁₀:C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5):6C2^2	160,148
(C₂xDic₅):₇C₂² = C₂xC₂³.D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5):7C2^2	160,173
(C₂xDic₅):₈C₂² = C₂xD₄xD₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	40		(C2xDic5):8C2^2	160,217
(C₂xDic₅):₉C₂² = C₂xD₄:₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5):9C2^2	160,218
(C₂xDic₅):₁₀C₂² = D₅xC₄oD₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	40	4	(C2xDic5):10C2^2	160,223
(C₂xDic₅):₁₁C₂² = C₂²xC₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5):11C2^2	160,227
(C₂xDic₅):₁₂C₂² = D₅xC₂²xC₄	φ: trivial image	80		(C2xDic5):12C2^2	160,214

Non-split extensions G=N.Q with N=C₂xDic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₅).₁C₂² = C₂₀:₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	160		(C2xDic5).1C2^2	160,90
(C₂xDic₅).₂C₂² = C₂₀.₆Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	160		(C2xDic5).2C2^2	160,91
(C₂xDic₅).₃C₂² = C₄.D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).3C2^2	160,96
(C₂xDic₅).₄C₂² = C₄²:₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).4C2^2	160,97
(C₂xDic₅).₅C₂² = Dic₅.₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).5C2^2	160,99
(C₂xDic₅).₆C₂² = D₁₀.₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).6C2^2	160,104
(C₂xDic₅).₇C₂² = D₁₀:D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).7C2^2	160,105
(C₂xDic₅).₈C₂² = C₂₀:Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	160		(C2xDic5).8C2^2	160,109
(C₂xDic₅).₉C₂² = Dic₅.Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	160		(C2xDic5).9C2^2	160,110
(C₂xDic₅).₁₀C₂² = C₄.Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	160		(C2xDic5).10C2^2	160,111
(C₂xDic₅).₁₁C₂² = D₁₀.₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).11C2^2	160,115
(C₂xDic₅).₁₂C₂² = D₁₀:Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).12C2^2	160,117
(C₂xDic₅).₁₃C₂² = D₁₀:₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).13C2^2	160,118
(C₂xDic₅).₁₄C₂² = C₂₀.₄₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).14C2^2	160,145
(C₂xDic₅).₁₅C₂² = C₂³.₂₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).15C2^2	160,150
(C₂xDic₅).₁₆C₂² = C₂₀:₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).16C2^2	160,151
(C₂xDic₅).₁₇C₂² = C₂³.₁₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).17C2^2	160,156
(C₂xDic₅).₁₈C₂² = C₂₀.₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).18C2^2	160,157
(C₂xDic₅).₁₉C₂² = C₂₀:₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).19C2^2	160,159
(C₂xDic₅).₂₀C₂² = Dic₅:Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	160		(C2xDic5).20C2^2	160,165
(C₂xDic₅).₂₁C₂² = D₁₀:₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80		(C2xDic5).21C2^2	160,167
(C₂xDic₅).₂₂C₂² = D₄.₁₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80	4-	(C2xDic5).22C2^2	160,225
(C₂xDic₅).₂₃C₂² = Dic₅.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80	4-	(C2xDic5).23C2^2	160,80
(C₂xDic₅).₂₄C₂² = C₂³.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	40	4	(C2xDic5).24C2^2	160,88
(C₂xDic₅).₂₅C₂² = D₄.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xDic₅	80	8-	(C2xDic5).25C2^2	160,206
(C₂xDic₅).₂₆C₂² = C₄xDic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	160		(C2xDic5).26C2^2	160,89
(C₂xDic₅).₂₇C₂² = C₄²:D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).27C2^2	160,93
(C₂xDic₅).₂₈C₂² = C₄xD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).28C2^2	160,94
(C₂xDic₅).₂₉C₂² = C₂³.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).29C2^2	160,100
(C₂xDic₅).₃₀C₂² = Dic₅.₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).30C2^2	160,106
(C₂xDic₅).₃₁C₂² = C₂².D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).31C2^2	160,107
(C₂xDic₅).₃₂C₂² = D₅xC₄:C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).32C2^2	160,112
(C₂xDic₅).₃₃C₂² = C₄:C₄:₇D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).33C2^2	160,113
(C₂xDic₅).₃₄C₂² = C₄:D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).34C2^2	160,116
(C₂xDic₅).₃₅C₂² = C₄:C₄:D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).35C2^2	160,119
(C₂xDic₅).₃₆C₂² = C₂xC₁₀.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	160		(C2xDic5).36C2^2	160,144
(C₂xDic₅).₃₇C₂² = C₂xC₄:Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	160		(C2xDic5).37C2^2	160,146
(C₂xDic₅).₃₈C₂² = C₂³.₂₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).38C2^2	160,147
(C₂xDic₅).₃₉C₂² = C₄xC₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).39C2^2	160,149
(C₂xDic₅).₄₀C₂² = D₄xDic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).40C2^2	160,155
(C₂xDic₅).₄₁C₂² = Dic₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).41C2^2	160,160
(C₂xDic₅).₄₂C₂² = C₂₀:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).42C2^2	160,161
(C₂xDic₅).₄₃C₂² = Q₈xDic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	160		(C2xDic5).43C2^2	160,166
(C₂xDic₅).₄₄C₂² = C₂₀.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).44C2^2	160,168
(C₂xDic₅).₄₅C₂² = C₂²xDic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	160		(C2xDic5).45C2^2	160,213
(C₂xDic₅).₄₆C₂² = C₂xC₄oD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).46C2^2	160,216
(C₂xDic₅).₄₇C₂² = C₂xQ₈xD₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).47C2^2	160,220
(C₂xDic₅).₄₈C₂² = C₄xC₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	160		(C2xDic5).48C2^2	160,75
(C₂xDic₅).₄₉C₂² = C₂₀:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	160		(C2xDic5).49C2^2	160,76
(C₂xDic₅).₅₀C₂² = C₁₀.C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	160		(C2xDic5).50C2^2	160,77
(C₂xDic₅).₅₁C₂² = D₁₀:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).51C2^2	160,78
(C₂xDic₅).₅₂C₂² = Dic₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	160		(C2xDic5).52C2^2	160,79
(C₂xDic₅).₅₃C₂² = C₂³.₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).53C2^2	160,87
(C₂xDic₅).₅₄C₂² = C₂xD₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).54C2^2	160,200
(C₂xDic₅).₅₅C₂² = C₂xC₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).55C2^2	160,201
(C₂xDic₅).₅₆C₂² = D₅:M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	40	4	(C2xDic5).56C2^2	160,202
(C₂xDic₅).₅₇C₂² = C₂²xC₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	160		(C2xDic5).57C2^2	160,210
(C₂xDic₅).₅₈C₂² = C₂xC₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xDic₅	80		(C2xDic5).58C2^2	160,211
(C₂xDic₅).₅₉C₂² = D₅xC₄²	φ: trivial image	80		(C2xDic5).59C2^2	160,92
(C₂xDic₅).₆₀C₂² = C₂³.₁₁D₁₀	φ: trivial image	80		(C2xDic5).60C2^2	160,98
(C₂xDic₅).₆₁C₂² = Dic₅:₄D₄	φ: trivial image	80		(C2xDic5).61C2^2	160,102
(C₂xDic₅).₆₂C₂² = Dic₅:₃Q₈	φ: trivial image	160		(C2xDic5).62C2^2	160,108
(C₂xDic₅).₆₃C₂² = D₂₀:₈C₄	φ: trivial image	80		(C2xDic5).63C2^2	160,114
(C₂xDic₅).₆₄C₂² = C₂xC₄xDic₅	φ: trivial image	160		(C2xDic5).64C2^2	160,143
(C₂xDic₅).₆₅C₂² = C₂xQ₈:₂D₅	φ: trivial image	80		(C2xDic5).65C2^2	160,221

Extensions 1→N→G→Q→1 with N=C2xDic5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂xDic₅ and Q=C₂²