# Extensions 1→N→G→Q→1 with N=C2×C5⋊D5 and Q=C22

Direct product G=N×Q with N=C2×C5⋊D5 and Q=C22
dρLabelID
C23×C5⋊D5200C2^3xC5:D5400,220

Semidirect products G=N:Q with N=C2×C5⋊D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C5⋊D5)⋊1C22 = D5×D20φ: C22/C1C22 ⊆ Out C2×C5⋊D5404+(C2xC5:D5):1C2^2400,170
(C2×C5⋊D5)⋊2C22 = D5×C5⋊D4φ: C22/C1C22 ⊆ Out C2×C5⋊D5404(C2xC5:D5):2C2^2400,179
(C2×C5⋊D5)⋊3C22 = C2×C5⋊D20φ: C22/C2C2 ⊆ Out C2×C5⋊D540(C2xC5:D5):3C2^2400,177
(C2×C5⋊D5)⋊4C22 = D10⋊D10φ: C22/C2C2 ⊆ Out C2×C5⋊D5204+(C2xC5:D5):4C2^2400,180
(C2×C5⋊D5)⋊5C22 = C2×C20⋊D5φ: C22/C2C2 ⊆ Out C2×C5⋊D5200(C2xC5:D5):5C2^2400,193
(C2×C5⋊D5)⋊6C22 = D4×C5⋊D5φ: C22/C2C2 ⊆ Out C2×C5⋊D5100(C2xC5:D5):6C2^2400,195
(C2×C5⋊D5)⋊7C22 = C2×C527D4φ: C22/C2C2 ⊆ Out C2×C5⋊D5200(C2xC5:D5):7C2^2400,200
(C2×C5⋊D5)⋊8C22 = C22×D52φ: C22/C2C2 ⊆ Out C2×C5⋊D540(C2xC5:D5):8C2^2400,218

Non-split extensions G=N.Q with N=C2×C5⋊D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C5⋊D5).1C22 = Dic105D5φ: C22/C1C22 ⊆ Out C2×C5⋊D5404+(C2xC5:D5).1C2^2400,168
(C2×C5⋊D5).2C22 = Dic5.D10φ: C22/C1C22 ⊆ Out C2×C5⋊D5404(C2xC5:D5).2C2^2400,173
(C2×C5⋊D5).3C22 = C523C42φ: C22/C1C22 ⊆ Out C2×C5⋊D5208+(C2xC5:D5).3C2^2400,124
(C2×C5⋊D5).4C22 = D10⋊F5φ: C22/C1C22 ⊆ Out C2×C5⋊D5208+(C2xC5:D5).4C2^2400,125
(C2×C5⋊D5).5C22 = Dic5⋊F5φ: C22/C1C22 ⊆ Out C2×C5⋊D5208+(C2xC5:D5).5C2^2400,126
(C2×C5⋊D5).6C22 = D52⋊C4φ: C22/C1C22 ⊆ Out C2×C5⋊D5204+(C2xC5:D5).6C2^2400,129
(C2×C5⋊D5).7C22 = C2.D5≀C2φ: C22/C1C22 ⊆ Out C2×C5⋊D5204(C2xC5:D5).7C2^2400,130
(C2×C5⋊D5).8C22 = (C5×C10).Q8φ: C22/C1C22 ⊆ Out C2×C5⋊D5208+(C2xC5:D5).8C2^2400,134
(C2×C5⋊D5).9C22 = C2×D5⋊F5φ: C22/C1C22 ⊆ Out C2×C5⋊D5208+(C2xC5:D5).9C2^2400,210
(C2×C5⋊D5).10C22 = C2×D5≀C2φ: C22/C1C22 ⊆ Out C2×C5⋊D5204+(C2xC5:D5).10C2^2400,211
(C2×C5⋊D5).11C22 = C2×C52⋊Q8φ: C22/C1C22 ⊆ Out C2×C5⋊D5208+(C2xC5:D5).11C2^2400,212
(C2×C5⋊D5).12C22 = D20⋊D5φ: C22/C2C2 ⊆ Out C2×C5⋊D5404(C2xC5:D5).12C2^2400,165
(C2×C5⋊D5).13C22 = Dic10⋊D5φ: C22/C2C2 ⊆ Out C2×C5⋊D5404(C2xC5:D5).13C2^2400,166
(C2×C5⋊D5).14C22 = D10.9D10φ: C22/C2C2 ⊆ Out C2×C5⋊D5404(C2xC5:D5).14C2^2400,167
(C2×C5⋊D5).15C22 = C4×D52φ: C22/C2C2 ⊆ Out C2×C5⋊D5404(C2xC5:D5).15C2^2400,169
(C2×C5⋊D5).16C22 = C20⋊D10φ: C22/C2C2 ⊆ Out C2×C5⋊D5404(C2xC5:D5).16C2^2400,171
(C2×C5⋊D5).17C22 = C2×Dic52D5φ: C22/C2C2 ⊆ Out C2×C5⋊D540(C2xC5:D5).17C2^2400,175
(C2×C5⋊D5).18C22 = C20.50D10φ: C22/C2C2 ⊆ Out C2×C5⋊D5200(C2xC5:D5).18C2^2400,194
(C2×C5⋊D5).19C22 = C20.D10φ: C22/C2C2 ⊆ Out C2×C5⋊D5200(C2xC5:D5).19C2^2400,196
(C2×C5⋊D5).20C22 = C20.26D10φ: C22/C2C2 ⊆ Out C2×C5⋊D5200(C2xC5:D5).20C2^2400,198
(C2×C5⋊D5).21C22 = C4×C5⋊F5φ: C22/C2C2 ⊆ Out C2×C5⋊D5100(C2xC5:D5).21C2^2400,151
(C2×C5⋊D5).22C22 = C20⋊F5φ: C22/C2C2 ⊆ Out C2×C5⋊D5100(C2xC5:D5).22C2^2400,152
(C2×C5⋊D5).23C22 = C102⋊C4φ: C22/C2C2 ⊆ Out C2×C5⋊D5100(C2xC5:D5).23C2^2400,155
(C2×C5⋊D5).24C22 = C4×C52⋊C4φ: C22/C2C2 ⊆ Out C2×C5⋊D5404(C2xC5:D5).24C2^2400,158
(C2×C5⋊D5).25C22 = C202F5φ: C22/C2C2 ⊆ Out C2×C5⋊D5404(C2xC5:D5).25C2^2400,159
(C2×C5⋊D5).26C22 = C1024C4φ: C22/C2C2 ⊆ Out C2×C5⋊D5204+(C2xC5:D5).26C2^2400,162
(C2×C5⋊D5).27C22 = C22×C5⋊F5φ: C22/C2C2 ⊆ Out C2×C5⋊D5100(C2xC5:D5).27C2^2400,216
(C2×C5⋊D5).28C22 = C22×C52⋊C4φ: C22/C2C2 ⊆ Out C2×C5⋊D540(C2xC5:D5).28C2^2400,217
(C2×C5⋊D5).29C22 = C2×C4×C5⋊D5φ: trivial image200(C2xC5:D5).29C2^2400,192
(C2×C5⋊D5).30C22 = Q8×C5⋊D5φ: trivial image200(C2xC5:D5).30C2^2400,197

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