Extensions 1→N→G→Q→1 with N=C₂×Dic₅ and Q=C₂²

Direct product G=N×Q with N=C₂×Dic₅ and Q=C₂²

		d	ρ	Label	ID
C₂³×Dic₅		160		C2^3xDic5	160,226

Semidirect products G=N:Q with N=C₂×Dic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅)⋊₁C₂² = C₂²⋊D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	40		(C2xDic5):1C2^2	160,103
(C₂×Dic₅)⋊₂C₂² = C₂³⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	40		(C2xDic5):2C2^2	160,158
(C₂×Dic₅)⋊₃C₂² = C₂⁴⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	40		(C2xDic5):3C2^2	160,174
(C₂×Dic₅)⋊₄C₂² = D₄⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	40	4	(C2xDic5):4C2^2	160,219
(C₂×Dic₅)⋊₅C₂² = D₅×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):5C2^2	160,101
(C₂×Dic₅)⋊₆C₂² = C₂×D₁₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5):6C2^2	160,148
(C₂×Dic₅)⋊₇C₂² = C₂×C₂³.D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5):7C2^2	160,173
(C₂×Dic₅)⋊₈C₂² = C₂×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):8C2^2	160,217
(C₂×Dic₅)⋊₉C₂² = C₂×D₄⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5):9C2^2	160,218
(C₂×Dic₅)⋊₁₀C₂² = D₅×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	40	4	(C2xDic5):10C2^2	160,223
(C₂×Dic₅)⋊₁₁C₂² = C₂²×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5):11C2^2	160,227
(C₂×Dic₅)⋊₁₂C₂² = D₅×C₂²×C₄	φ: trivial image	80		(C2xDic5):12C2^2	160,214

Non-split extensions G=N.Q with N=C₂×Dic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅).₁C₂² = C₂₀⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	160		(C2xDic5).1C2^2	160,90
(C₂×Dic₅).₂C₂² = C₂₀.₆Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	160		(C2xDic5).2C2^2	160,91
(C₂×Dic₅).₃C₂² = C₄.D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).3C2^2	160,96
(C₂×Dic₅).₄C₂² = C₄²⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).4C2^2	160,97
(C₂×Dic₅).₅C₂² = Dic₅.₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).5C2^2	160,99
(C₂×Dic₅).₆C₂² = D₁₀.₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).6C2^2	160,104
(C₂×Dic₅).₇C₂² = D₁₀⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).7C2^2	160,105
(C₂×Dic₅).₈C₂² = C₂₀⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	160		(C2xDic5).8C2^2	160,109
(C₂×Dic₅).₉C₂² = Dic₅.Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	160		(C2xDic5).9C2^2	160,110
(C₂×Dic₅).₁₀C₂² = C₄.Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	160		(C2xDic5).10C2^2	160,111
(C₂×Dic₅).₁₁C₂² = D₁₀.₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).11C2^2	160,115
(C₂×Dic₅).₁₂C₂² = D₁₀⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).12C2^2	160,117
(C₂×Dic₅).₁₃C₂² = D₁₀⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).13C2^2	160,118
(C₂×Dic₅).₁₄C₂² = C₂₀.₄₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).14C2^2	160,145
(C₂×Dic₅).₁₅C₂² = C₂³.₂₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).15C2^2	160,150
(C₂×Dic₅).₁₆C₂² = C₂₀⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).16C2^2	160,151
(C₂×Dic₅).₁₇C₂² = C₂³.₁₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).17C2^2	160,156
(C₂×Dic₅).₁₈C₂² = C₂₀.₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).18C2^2	160,157
(C₂×Dic₅).₁₉C₂² = C₂₀⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).19C2^2	160,159
(C₂×Dic₅).₂₀C₂² = Dic₅⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	160		(C2xDic5).20C2^2	160,165
(C₂×Dic₅).₂₁C₂² = D₁₀⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80		(C2xDic5).21C2^2	160,167
(C₂×Dic₅).₂₂C₂² = D₄.₁₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80	4-	(C2xDic5).22C2^2	160,225
(C₂×Dic₅).₂₃C₂² = Dic₅.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80	4-	(C2xDic5).23C2^2	160,80
(C₂×Dic₅).₂₄C₂² = C₂³.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	40	4	(C2xDic5).24C2^2	160,88
(C₂×Dic₅).₂₅C₂² = D₄.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₅	80	8-	(C2xDic5).25C2^2	160,206
(C₂×Dic₅).₂₆C₂² = C₄×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).26C2^2	160,89
(C₂×Dic₅).₂₇C₂² = C₄²⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).27C2^2	160,93
(C₂×Dic₅).₂₈C₂² = C₄×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).28C2^2	160,94
(C₂×Dic₅).₂₉C₂² = C₂³.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).29C2^2	160,100
(C₂×Dic₅).₃₀C₂² = Dic₅.₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).30C2^2	160,106
(C₂×Dic₅).₃₁C₂² = C₂².D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).31C2^2	160,107
(C₂×Dic₅).₃₂C₂² = D₅×C₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).32C2^2	160,112
(C₂×Dic₅).₃₃C₂² = C₄⋊C₄⋊₇D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).33C2^2	160,113
(C₂×Dic₅).₃₄C₂² = C₄⋊D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).34C2^2	160,116
(C₂×Dic₅).₃₅C₂² = C₄⋊C₄⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).35C2^2	160,119
(C₂×Dic₅).₃₆C₂² = C₂×C₁₀.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).36C2^2	160,144
(C₂×Dic₅).₃₇C₂² = C₂×C₄⋊Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).37C2^2	160,146
(C₂×Dic₅).₃₈C₂² = C₂³.₂₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).38C2^2	160,147
(C₂×Dic₅).₃₉C₂² = C₄×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).39C2^2	160,149
(C₂×Dic₅).₄₀C₂² = D₄×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).40C2^2	160,155
(C₂×Dic₅).₄₁C₂² = Dic₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).41C2^2	160,160
(C₂×Dic₅).₄₂C₂² = C₂₀⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).42C2^2	160,161
(C₂×Dic₅).₄₃C₂² = Q₈×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).43C2^2	160,166
(C₂×Dic₅).₄₄C₂² = C₂₀.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).44C2^2	160,168
(C₂×Dic₅).₄₅C₂² = C₂²×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).45C2^2	160,213
(C₂×Dic₅).₄₆C₂² = C₂×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).46C2^2	160,216
(C₂×Dic₅).₄₇C₂² = C₂×Q₈×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).47C2^2	160,220
(C₂×Dic₅).₄₈C₂² = C₄×C₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).48C2^2	160,75
(C₂×Dic₅).₄₉C₂² = C₂₀⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).49C2^2	160,76
(C₂×Dic₅).₅₀C₂² = C₁₀.C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).50C2^2	160,77
(C₂×Dic₅).₅₁C₂² = D₁₀⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).51C2^2	160,78
(C₂×Dic₅).₅₂C₂² = Dic₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).52C2^2	160,79
(C₂×Dic₅).₅₃C₂² = C₂³.₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).53C2^2	160,87
(C₂×Dic₅).₅₄C₂² = C₂×D₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).54C2^2	160,200
(C₂×Dic₅).₅₅C₂² = C₂×C₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).55C2^2	160,201
(C₂×Dic₅).₅₆C₂² = D₅⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	40	4	(C2xDic5).56C2^2	160,202
(C₂×Dic₅).₅₇C₂² = C₂²×C₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).57C2^2	160,210
(C₂×Dic₅).₅₈C₂² = C₂×C₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).58C2^2	160,211
(C₂×Dic₅).₅₉C₂² = D₅×C₄²	φ: trivial image	80		(C2xDic5).59C2^2	160,92
(C₂×Dic₅).₆₀C₂² = C₂³.₁₁D₁₀	φ: trivial image	80		(C2xDic5).60C2^2	160,98
(C₂×Dic₅).₆₁C₂² = Dic₅⋊₄D₄	φ: trivial image	80		(C2xDic5).61C2^2	160,102
(C₂×Dic₅).₆₂C₂² = Dic₅⋊₃Q₈	φ: trivial image	160		(C2xDic5).62C2^2	160,108
(C₂×Dic₅).₆₃C₂² = D₂₀⋊₈C₄	φ: trivial image	80		(C2xDic5).63C2^2	160,114
(C₂×Dic₅).₆₄C₂² = C₂×C₄×Dic₅	φ: trivial image	160		(C2xDic5).64C2^2	160,143
(C₂×Dic₅).₆₅C₂² = C₂×Q₈⋊₂D₅	φ: trivial image	80		(C2xDic5).65C2^2	160,221

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×Dic5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂×Dic₅ and Q=C₂²