Extensions 1→N→G→Q→1 with N=C₂×C₂₀ and Q=C₂²

Direct product G=N×Q with N=C₂×C₂₀ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₂₀		160		C2^3xC20	160,228

Semidirect products G=N:Q with N=C₂×C₂₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₀)⋊₁C₂² = C₂²⋊D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40		(C2xC20):1C2^2	160,103
(C₂×C₂₀)⋊₂C₂² = C₂×D₄×D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40		(C2xC20):2C2^2	160,217
(C₂×C₂₀)⋊₃C₂² = D₄⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4	(C2xC20):3C2^2	160,219
(C₂×C₂₀)⋊₄C₂² = D₅×C₄○D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4	(C2xC20):4C2^2	160,223
(C₂×C₂₀)⋊₅C₂² = D₄⋊₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4+	(C2xC20):5C2^2	160,224
(C₂×C₂₀)⋊₆C₂² = D₅×C₂²⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40		(C2xC20):6C2^2	160,101
(C₂×C₂₀)⋊₇C₂² = C₂³⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40		(C2xC20):7C2^2	160,158
(C₂×C₂₀)⋊₈C₂² = C₅×C₂²≀C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40		(C2xC20):8C2^2	160,181
(C₂×C₂₀)⋊₉C₂² = C₅×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4	(C2xC20):9C2^2	160,232
(C₂×C₂₀)⋊₁₀C₂² = C₂×D₁₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):10C2^2	160,148
(C₂×C₂₀)⋊₁₁C₂² = C₁₀×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):11C2^2	160,176
(C₂×C₂₀)⋊₁₂C₂² = C₂²×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):12C2^2	160,215
(C₂×C₂₀)⋊₁₃C₂² = C₂×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):13C2^2	160,216
(C₂×C₂₀)⋊₁₄C₂² = D₅×C₂²×C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):14C2^2	160,214
(C₂×C₂₀)⋊₁₅C₂² = D₄×C₂×C₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):15C2^2	160,229
(C₂×C₂₀)⋊₁₆C₂² = C₁₀×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):16C2^2	160,231

Non-split extensions G=N.Q with N=C₂×C₂₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₀).₁C₂² = Dic₅.₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).1C2^2	160,99
(C₂×C₂₀).₂C₂² = C₂³.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).2C2^2	160,100
(C₂×C₂₀).₃C₂² = C₂².D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).3C2^2	160,107
(C₂×C₂₀).₄C₂² = C₂₀⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).4C2^2	160,109
(C₂×C₂₀).₅C₂² = C₄⋊D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).5C2^2	160,116
(C₂×C₂₀).₆C₂² = D₁₀⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).6C2^2	160,118
(C₂×C₂₀).₇C₂² = C₄⋊C₄⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).7C2^2	160,119
(C₂×C₂₀).₈C₂² = C₁₀.D₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).8C2^2	160,14
(C₂×C₂₀).₉C₂² = C₂₀.Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).9C2^2	160,15
(C₂×C₂₀).₁₀C₂² = D₂₀⋊₆C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).10C2^2	160,16
(C₂×C₂₀).₁₁C₂² = C₁₀.Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).11C2^2	160,17
(C₂×C₂₀).₁₂C₂² = C₂₀.₅₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4	(C2xC20).12C2^2	160,29
(C₂×C₂₀).₁₃C₂² = C₂₀.₄₆D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4+	(C2xC20).13C2^2	160,30
(C₂×C₂₀).₁₄C₂² = C₄.₁₂D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4-	(C2xC20).14C2^2	160,31
(C₂×C₂₀).₁₅C₂² = D₂₀⋊₇C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4	(C2xC20).15C2^2	160,32
(C₂×C₂₀).₁₆C₂² = D₄⋊Dic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).16C2^2	160,39
(C₂×C₂₀).₁₇C₂² = C₂₀.D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4	(C2xC20).17C2^2	160,40
(C₂×C₂₀).₁₈C₂² = Q₈⋊Dic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).18C2^2	160,42
(C₂×C₂₀).₁₉C₂² = C₂₀.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4	(C2xC20).19C2^2	160,43
(C₂×C₂₀).₂₀C₂² = D₄⋊₂Dic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4	(C2xC20).20C2^2	160,44
(C₂×C₂₀).₂₁C₂² = Dic₅⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).21C2^2	160,108
(C₂×C₂₀).₂₂C₂² = C₄.Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).22C2^2	160,111
(C₂×C₂₀).₂₃C₂² = D₅×C₄⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).23C2^2	160,112
(C₂×C₂₀).₂₄C₂² = D₂₀⋊₈C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).24C2^2	160,114
(C₂×C₂₀).₂₅C₂² = D₅×M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4	(C2xC20).25C2^2	160,127
(C₂×C₂₀).₂₆C₂² = D₂₀.₂C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4	(C2xC20).26C2^2	160,128
(C₂×C₂₀).₂₇C₂² = C₈⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4+	(C2xC20).27C2^2	160,129
(C₂×C₂₀).₂₈C₂² = C₈.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4-	(C2xC20).28C2^2	160,130
(C₂×C₂₀).₂₉C₂² = C₂×D₄⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).29C2^2	160,152
(C₂×C₂₀).₃₀C₂² = D₄.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4	(C2xC20).30C2^2	160,153
(C₂×C₂₀).₃₁C₂² = C₂×D₄.D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).31C2^2	160,154
(C₂×C₂₀).₃₂C₂² = D₄×Dic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).32C2^2	160,155
(C₂×C₂₀).₃₃C₂² = C₂₀.₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).33C2^2	160,157
(C₂×C₂₀).₃₄C₂² = C₂₀⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).34C2^2	160,159
(C₂×C₂₀).₃₅C₂² = C₂₀⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).35C2^2	160,161
(C₂×C₂₀).₃₆C₂² = C₂×Q₈⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).36C2^2	160,162
(C₂×C₂₀).₃₇C₂² = C₂₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4	(C2xC20).37C2^2	160,163
(C₂×C₂₀).₃₈C₂² = C₂×C₅⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).38C2^2	160,164
(C₂×C₂₀).₃₉C₂² = Q₈×Dic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).39C2^2	160,166
(C₂×C₂₀).₄₀C₂² = C₂₀.₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).40C2^2	160,168
(C₂×C₂₀).₄₁C₂² = D₄.Dic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4	(C2xC20).41C2^2	160,169
(C₂×C₂₀).₄₂C₂² = D₄⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4+	(C2xC20).42C2^2	160,170
(C₂×C₂₀).₄₃C₂² = D₄.₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4	(C2xC20).43C2^2	160,171
(C₂×C₂₀).₄₄C₂² = D₄.₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4-	(C2xC20).44C2^2	160,172
(C₂×C₂₀).₄₅C₂² = C₂×D₄⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).45C2^2	160,218
(C₂×C₂₀).₄₆C₂² = C₂×Q₈×D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).46C2^2	160,220
(C₂×C₂₀).₄₇C₂² = C₂×Q₈⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).47C2^2	160,221
(C₂×C₂₀).₄₈C₂² = Q₈.₁₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4	(C2xC20).48C2^2	160,222
(C₂×C₂₀).₄₉C₂² = D₄.₁₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4-	(C2xC20).49C2^2	160,225
(C₂×C₂₀).₅₀C₂² = C₂³.₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).50C2^2	160,98
(C₂×C₂₀).₅₁C₂² = Dic₅⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).51C2^2	160,102
(C₂×C₂₀).₅₂C₂² = D₁₀.₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).52C2^2	160,104
(C₂×C₂₀).₅₃C₂² = D₁₀⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).53C2^2	160,105
(C₂×C₂₀).₅₄C₂² = Dic₅.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).54C2^2	160,106
(C₂×C₂₀).₅₅C₂² = Dic₅.Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).55C2^2	160,110
(C₂×C₂₀).₅₆C₂² = C₄⋊C₄⋊₇D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).56C2^2	160,113
(C₂×C₂₀).₅₇C₂² = D₁₀.₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).57C2^2	160,115
(C₂×C₂₀).₅₈C₂² = D₁₀⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).58C2^2	160,117
(C₂×C₂₀).₅₉C₂² = C₅×C₄.D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4	(C2xC20).59C2^2	160,50
(C₂×C₂₀).₆₀C₂² = C₅×C₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4	(C2xC20).60C2^2	160,51
(C₂×C₂₀).₆₁C₂² = C₂³.₁₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).61C2^2	160,156
(C₂×C₂₀).₆₂C₂² = Dic₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).62C2^2	160,160
(C₂×C₂₀).₆₃C₂² = Dic₅⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).63C2^2	160,165
(C₂×C₂₀).₆₄C₂² = D₁₀⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).64C2^2	160,167
(C₂×C₂₀).₆₅C₂² = C₅×C₂².D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).65C2^2	160,184
(C₂×C₂₀).₆₆C₂² = C₅×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).66C2^2	160,185
(C₂×C₂₀).₆₇C₂² = C₅×C₄².C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	160		(C2xC20).67C2^2	160,186
(C₂×C₂₀).₆₈C₂² = C₅×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80		(C2xC20).68C2^2	160,187
(C₂×C₂₀).₆₉C₂² = C₅×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	40	4	(C2xC20).69C2^2	160,197
(C₂×C₂₀).₇₀C₂² = C₅×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4	(C2xC20).70C2^2	160,198
(C₂×C₂₀).₇₁C₂² = C₅×2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₀	80	4	(C2xC20).71C2^2	160,233
(C₂×C₂₀).₇₂C₂² = C₂₀.₆Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).72C2^2	160,91
(C₂×C₂₀).₇₃C₂² = C₄²⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).73C2^2	160,93
(C₂×C₂₀).₇₄C₂² = C₄.D₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).74C2^2	160,96
(C₂×C₂₀).₇₅C₂² = C₄²⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).75C2^2	160,97
(C₂×C₂₀).₇₆C₂² = C₂×C₁₀.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).76C2^2	160,144
(C₂×C₂₀).₇₇C₂² = C₄×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).77C2^2	160,149
(C₂×C₂₀).₇₈C₂² = C₂³.₂₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).78C2^2	160,150
(C₂×C₂₀).₇₉C₂² = C₅×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).79C2^2	160,178
(C₂×C₂₀).₈₀C₂² = C₂₀.₄₄D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).80C2^2	160,23
(C₂×C₂₀).₈₁C₂² = C₄₀⋊₆C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).81C2^2	160,24
(C₂×C₂₀).₈₂C₂² = C₄₀⋊₅C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).82C2^2	160,25
(C₂×C₂₀).₈₃C₂² = D₂₀⋊₅C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).83C2^2	160,28
(C₂×C₂₀).₈₄C₂² = C₄×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).84C2^2	160,89
(C₂×C₂₀).₈₅C₂² = C₂₀⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).85C2^2	160,90
(C₂×C₂₀).₈₆C₂² = C₄×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).86C2^2	160,94
(C₂×C₂₀).₈₇C₂² = C₂₀⋊₄D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).87C2^2	160,95
(C₂×C₂₀).₈₈C₂² = C₂×C₄₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).88C2^2	160,123
(C₂×C₂₀).₈₉C₂² = C₂×D₄₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).89C2^2	160,124
(C₂×C₂₀).₉₀C₂² = C₂×Dic₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).90C2^2	160,126
(C₂×C₂₀).₉₁C₂² = C₂₀.₄₈D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).91C2^2	160,145
(C₂×C₂₀).₉₂C₂² = C₂×C₄⋊Dic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).92C2^2	160,146
(C₂×C₂₀).₉₃C₂² = C₂³.₂₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).93C2^2	160,147
(C₂×C₂₀).₉₄C₂² = C₂₀⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).94C2^2	160,151
(C₂×C₂₀).₉₅C₂² = C₂²×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).95C2^2	160,213
(C₂×C₂₀).₉₆C₂² = D₂₀⋊₄C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	40	2	(C2xC20).96C2^2	160,12
(C₂×C₂₀).₉₇C₂² = C₄₀.₆C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80	2	(C2xC20).97C2^2	160,26
(C₂×C₂₀).₉₈C₂² = D₂₀.₃C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80	2	(C2xC20).98C2^2	160,122
(C₂×C₂₀).₉₉C₂² = D₄₀⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80	2	(C2xC20).99C2^2	160,125
(C₂×C₂₀).₁₀₀C₂² = C₂×C₄.Dic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).100C2^2	160,142
(C₂×C₂₀).₁₀₁C₂² = C₄×C₅⋊₂C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).101C2^2	160,9
(C₂×C₂₀).₁₀₂C₂² = C₄².D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).102C2^2	160,10
(C₂×C₂₀).₁₀₃C₂² = C₂₀⋊₃C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).103C2^2	160,11
(C₂×C₂₀).₁₀₄C₂² = C₈×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).104C2^2	160,20
(C₂×C₂₀).₁₀₅C₂² = C₂₀.₈Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).105C2^2	160,21
(C₂×C₂₀).₁₀₆C₂² = C₄₀⋊₈C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).106C2^2	160,22
(C₂×C₂₀).₁₀₇C₂² = D₁₀⋊₁C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).107C2^2	160,27
(C₂×C₂₀).₁₀₈C₂² = C₂₀.₅₅D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).108C2^2	160,37
(C₂×C₂₀).₁₀₉C₂² = D₅×C₄²	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).109C2^2	160,92
(C₂×C₂₀).₁₁₀C₂² = D₅×C₂×C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).110C2^2	160,120
(C₂×C₂₀).₁₁₁C₂² = C₂×C₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).111C2^2	160,121
(C₂×C₂₀).₁₁₂C₂² = C₂²×C₅⋊₂C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).112C2^2	160,141
(C₂×C₂₀).₁₁₃C₂² = C₂×C₄×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).113C2^2	160,143
(C₂×C₂₀).₁₁₄C₂² = C₅×D₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).114C2^2	160,52
(C₂×C₂₀).₁₁₅C₂² = C₅×Q₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).115C2^2	160,53
(C₂×C₂₀).₁₁₆C₂² = C₅×C₄≀C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	40	2	(C2xC20).116C2^2	160,54
(C₂×C₂₀).₁₁₇C₂² = C₅×C₄.Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).117C2^2	160,56
(C₂×C₂₀).₁₁₈C₂² = C₅×C₂.D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).118C2^2	160,57
(C₂×C₂₀).₁₁₉C₂² = C₅×C₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80	2	(C2xC20).119C2^2	160,58
(C₂×C₂₀).₁₂₀C₂² = C₁₀×C₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).120C2^2	160,177
(C₂×C₂₀).₁₂₁C₂² = D₄×C₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).121C2^2	160,179
(C₂×C₂₀).₁₂₂C₂² = Q₈×C₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).122C2^2	160,180
(C₂×C₂₀).₁₂₃C₂² = C₅×C₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).123C2^2	160,182
(C₂×C₂₀).₁₂₄C₂² = C₅×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).124C2^2	160,183
(C₂×C₂₀).₁₂₅C₂² = C₅×C₄⋊₁D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).125C2^2	160,188
(C₂×C₂₀).₁₂₆C₂² = C₅×C₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).126C2^2	160,189
(C₂×C₂₀).₁₂₇C₂² = C₁₀×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).127C2^2	160,191
(C₂×C₂₀).₁₂₈C₂² = C₅×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80	2	(C2xC20).128C2^2	160,192
(C₂×C₂₀).₁₂₉C₂² = C₁₀×D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).129C2^2	160,193
(C₂×C₂₀).₁₃₀C₂² = C₁₀×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).130C2^2	160,194
(C₂×C₂₀).₁₃₁C₂² = C₁₀×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).131C2^2	160,195
(C₂×C₂₀).₁₃₂C₂² = C₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	80	2	(C2xC20).132C2^2	160,196
(C₂×C₂₀).₁₃₃C₂² = Q₈×C₂×C₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₀	160		(C2xC20).133C2^2	160,230
(C₂×C₂₀).₁₃₄C₂² = C₅×C₈⋊C₄	central extension (φ=1)	160		(C2xC20).134C2^2	160,47
(C₂×C₂₀).₁₃₅C₂² = C₅×C₂²⋊C₈	central extension (φ=1)	80		(C2xC20).135C2^2	160,48
(C₂×C₂₀).₁₃₆C₂² = C₅×C₄⋊C₈	central extension (φ=1)	160		(C2xC20).136C2^2	160,55

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Extensions 1→N→G→Q→1 with N=C2×C20 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂×C₂₀ and Q=C₂²