# Extensions 1→N→G→Q→1 with N=C22×Dic5 and Q=C4

Direct product G=N×Q with N=C22×Dic5 and Q=C4
dρLabelID
C22×C4×Dic5320C2^2xC4xDic5320,1454

Semidirect products G=N:Q with N=C22×Dic5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22×Dic5)⋊1C4 = (C2×C20).D4φ: C4/C1C4 ⊆ Out C22×Dic5808-(C2^2xDic5):1C4320,30
(C22×Dic5)⋊2C4 = C23.4D20φ: C4/C1C4 ⊆ Out C22×Dic5808-(C2^2xDic5):2C4320,34
(C22×Dic5)⋊3C4 = C24.2D10φ: C4/C1C4 ⊆ Out C22×Dic580(C2^2xDic5):3C4320,85
(C22×Dic5)⋊4C4 = C23⋊C45D5φ: C4/C1C4 ⊆ Out C22×Dic5808-(C2^2xDic5):4C4320,367
(C22×Dic5)⋊5C4 = C2×C23.1D10φ: C4/C1C4 ⊆ Out C22×Dic580(C2^2xDic5):5C4320,581
(C22×Dic5)⋊6C4 = C22⋊C4⋊F5φ: C4/C1C4 ⊆ Out C22×Dic5808-(C2^2xDic5):6C4320,203
(C22×Dic5)⋊7C4 = C22⋊F5⋊C4φ: C4/C1C4 ⊆ Out C22×Dic580(C2^2xDic5):7C4320,255
(C22×Dic5)⋊8C4 = (C2×D4)⋊8F5φ: C4/C1C4 ⊆ Out C22×Dic5808-(C2^2xDic5):8C4320,1109
(C22×Dic5)⋊9C4 = C2×C23⋊F5φ: C4/C1C4 ⊆ Out C22×Dic580(C2^2xDic5):9C4320,1134
(C22×Dic5)⋊10C4 = C22⋊C4×Dic5φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5):10C4320,568
(C22×Dic5)⋊11C4 = C24.44D10φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5):11C4320,569
(C22×Dic5)⋊12C4 = C23.42D20φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5):12C4320,570
(C22×Dic5)⋊13C4 = C2×C10.10C42φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5):13C4320,835
(C22×Dic5)⋊14C4 = C2×C23.11D10φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5):14C4320,1152
(C22×Dic5)⋊15C4 = C22×C10.D4φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5):15C4320,1455
(C22×Dic5)⋊16C4 = C2×D10.3Q8φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5):16C4320,1100
(C22×Dic5)⋊17C4 = C4×C22⋊F5φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5):17C4320,1101
(C22×Dic5)⋊18C4 = (C22×C4)⋊7F5φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5):18C4320,1102
(C22×Dic5)⋊19C4 = D106(C4⋊C4)φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5):19C4320,1103
(C22×Dic5)⋊20C4 = C22×C4×F5φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5):20C4320,1590
(C22×Dic5)⋊21C4 = C22×C4⋊F5φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5):21C4320,1591
(C22×Dic5)⋊22C4 = C2×D10.C23φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5):22C4320,1592

Non-split extensions G=N.Q with N=C22×Dic5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22×Dic5).1C4 = C53(C23⋊C8)φ: C4/C1C4 ⊆ Out C22×Dic580(C2^2xDic5).1C4320,26
(C22×Dic5).2C4 = (C2×Dic5)⋊C8φ: C4/C1C4 ⊆ Out C22×Dic5160(C2^2xDic5).2C4320,27
(C22×Dic5).3C4 = M4(2)⋊Dic5φ: C4/C1C4 ⊆ Out C22×Dic5160(C2^2xDic5).3C4320,112
(C22×Dic5).4C4 = M4(2).19D10φ: C4/C1C4 ⊆ Out C22×Dic5808-(C2^2xDic5).4C4320,372
(C22×Dic5).5C4 = C2×C4.12D20φ: C4/C1C4 ⊆ Out C22×Dic5160(C2^2xDic5).5C4320,763
(C22×Dic5).6C4 = (C2×C20)⋊1C8φ: C4/C1C4 ⊆ Out C22×Dic5160(C2^2xDic5).6C4320,251
(C22×Dic5).7C4 = (C22×C4).F5φ: C4/C1C4 ⊆ Out C22×Dic5160(C2^2xDic5).7C4320,252
(C22×Dic5).8C4 = C22.F5⋊C4φ: C4/C1C4 ⊆ Out C22×Dic5160(C2^2xDic5).8C4320,257
(C22×Dic5).9C4 = C24.F5φ: C4/C1C4 ⊆ Out C22×Dic580(C2^2xDic5).9C4320,271
(C22×Dic5).10C4 = C2×Dic5.D4φ: C4/C1C4 ⊆ Out C22×Dic5160(C2^2xDic5).10C4320,1098
(C22×Dic5).11C4 = (C2×D4).9F5φ: C4/C1C4 ⊆ Out C22×Dic5808-(C2^2xDic5).11C4320,1115
(C22×Dic5).12C4 = (C2×C40)⋊15C4φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5).12C4320,108
(C22×Dic5).13C4 = Dic5.14M4(2)φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).13C4320,345
(C22×Dic5).14C4 = Dic5.9M4(2)φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).14C4320,346
(C22×Dic5).15C4 = D5×C22⋊C8φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5).15C4320,351
(C22×Dic5).16C4 = D107M4(2)φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5).16C4320,353
(C22×Dic5).17C4 = C2×C20.8Q8φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5).17C4320,726
(C22×Dic5).18C4 = C2×C408C4φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5).18C4320,727
(C22×Dic5).19C4 = C2×D101C8φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).19C4320,735
(C22×Dic5).20C4 = M4(2)×Dic5φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).20C4320,744
(C22×Dic5).21C4 = Dic55M4(2)φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).21C4320,745
(C22×Dic5).22C4 = D108M4(2)φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5).22C4320,753
(C22×Dic5).23C4 = C22×C8⋊D5φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).23C4320,1409
(C22×Dic5).24C4 = C2×D5×M4(2)φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5).24C4320,1415
(C22×Dic5).25C4 = C10.(C4⋊C8)φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5).25C4320,256
(C22×Dic5).26C4 = C2×C4×C5⋊C8φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5).26C4320,1084
(C22×Dic5).27C4 = C2×C20⋊C8φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5).27C4320,1085
(C22×Dic5).28C4 = Dic5.12M4(2)φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).28C4320,1086
(C22×Dic5).29C4 = C2×C10.C42φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5).29C4320,1087
(C22×Dic5).30C4 = C4×C22.F5φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).30C4320,1088
(C22×Dic5).31C4 = C2×Dic5⋊C8φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5).31C4320,1090
(C22×Dic5).32C4 = C20.34M4(2)φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).32C4320,1092
(C22×Dic5).33C4 = Dic5.13M4(2)φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).33C4320,1095
(C22×Dic5).34C4 = C208M4(2)φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).34C4320,1096
(C22×Dic5).35C4 = C20.30M4(2)φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).35C4320,1097
(C22×Dic5).36C4 = C2×C23.2F5φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).36C4320,1135
(C22×Dic5).37C4 = C24.4F5φ: C4/C2C2 ⊆ Out C22×Dic580(C2^2xDic5).37C4320,1136
(C22×Dic5).38C4 = C23×C5⋊C8φ: C4/C2C2 ⊆ Out C22×Dic5320(C2^2xDic5).38C4320,1605
(C22×Dic5).39C4 = C22×C22.F5φ: C4/C2C2 ⊆ Out C22×Dic5160(C2^2xDic5).39C4320,1606
(C22×Dic5).40C4 = C2×C8×Dic5φ: trivial image320(C2^2xDic5).40C4320,725
(C22×Dic5).41C4 = D5×C22×C8φ: trivial image160(C2^2xDic5).41C4320,1408

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