# Extensions 1→N→G→Q→1 with N=C2×C5⋊C8 and Q=C22

Direct product G=N×Q with N=C2×C5⋊C8 and Q=C22
dρLabelID
C23×C5⋊C8320C2^3xC5:C8320,1605

Semidirect products G=N:Q with N=C2×C5⋊C8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C5⋊C8)⋊1C22 = D109M4(2)φ: C22/C1C22 ⊆ Out C2×C5⋊C880(C2xC5:C8):1C2^2320,1093
(C2×C5⋊C8)⋊2C22 = D1010M4(2)φ: C22/C1C22 ⊆ Out C2×C5⋊C880(C2xC5:C8):2C2^2320,1094
(C2×C5⋊C8)⋊3C22 = C24.4F5φ: C22/C1C22 ⊆ Out C2×C5⋊C880(C2xC5:C8):3C2^2320,1136
(C2×C5⋊C8)⋊4C22 = Dic5.C24φ: C22/C1C22 ⊆ Out C2×C5⋊C8808-(C2xC5:C8):4C2^2320,1594
(C2×C5⋊C8)⋊5C22 = Dic5.22C24φ: C22/C1C22 ⊆ Out C2×C5⋊C8808(C2xC5:C8):5C2^2320,1602
(C2×C5⋊C8)⋊6C22 = C2×D10⋊C8φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8):6C2^2320,1089
(C2×C5⋊C8)⋊7C22 = D10.11M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C880(C2xC5:C8):7C2^2320,1091
(C2×C5⋊C8)⋊8C22 = C2×C23.2F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8):8C2^2320,1135
(C2×C5⋊C8)⋊9C22 = C22×C4.F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8):9C2^2320,1588
(C2×C5⋊C8)⋊10C22 = C2×D5⋊M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C880(C2xC5:C8):10C2^2320,1589
(C2×C5⋊C8)⋊11C22 = C2×D4.F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8):11C2^2320,1593
(C2×C5⋊C8)⋊12C22 = Dic5.21C24φ: C22/C2C2 ⊆ Out C2×C5⋊C8808(C2xC5:C8):12C2^2320,1601
(C2×C5⋊C8)⋊13C22 = C22×C22.F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8):13C2^2320,1606
(C2×C5⋊C8)⋊14C22 = C22×D5⋊C8φ: trivial image160(C2xC5:C8):14C2^2320,1587

Non-split extensions G=N.Q with N=C2×C5⋊C8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C5⋊C8).1C22 = C203M4(2)φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).1C2^2320,1019
(C2×C5⋊C8).2C22 = C42.14F5φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).2C2^2320,1020
(C2×C5⋊C8).3C22 = C42.15F5φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).3C2^2320,1021
(C2×C5⋊C8).4C22 = C42.7F5φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).4C2^2320,1022
(C2×C5⋊C8).5C22 = C20⋊C8⋊C2φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).5C2^2320,1034
(C2×C5⋊C8).6C22 = C4⋊C4.9F5φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).6C2^2320,1046
(C2×C5⋊C8).7C22 = Dic5.13M4(2)φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).7C2^2320,1095
(C2×C5⋊C8).8C22 = C208M4(2)φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).8C2^2320,1096
(C2×C5⋊C8).9C22 = C20.30M4(2)φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).9C2^2320,1097
(C2×C5⋊C8).10C22 = C202M4(2)φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).10C2^2320,1112
(C2×C5⋊C8).11C22 = (C2×D4).7F5φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).11C2^2320,1113
(C2×C5⋊C8).12C22 = (C2×D4).8F5φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).12C2^2320,1114
(C2×C5⋊C8).13C22 = (C2×Q8).5F5φ: C22/C1C22 ⊆ Out C2×C5⋊C8160(C2xC5:C8).13C2^2320,1125
(C2×C5⋊C8).14C22 = C42.5F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).14C2^2320,1014
(C2×C5⋊C8).15C22 = C4×C4.F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).15C2^2320,1015
(C2×C5⋊C8).16C22 = C42.6F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).16C2^2320,1016
(C2×C5⋊C8).17C22 = C42.11F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).17C2^2320,1017
(C2×C5⋊C8).18C22 = C42.12F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).18C2^2320,1018
(C2×C5⋊C8).19C22 = Dic5.C42φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).19C2^2320,1029
(C2×C5⋊C8).20C22 = C5⋊C88D4φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).20C2^2320,1030
(C2×C5⋊C8).21C22 = C5⋊C8⋊D4φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).21C2^2320,1031
(C2×C5⋊C8).22C22 = D10⋊M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).22C2^2320,1032
(C2×C5⋊C8).23C22 = Dic5⋊M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).23C2^2320,1033
(C2×C5⋊C8).24C22 = C23.(C2×F5)φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).24C2^2320,1035
(C2×C5⋊C8).25C22 = D10.C42φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).25C2^2320,1039
(C2×C5⋊C8).26C22 = D202C8φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).26C2^2320,1040
(C2×C5⋊C8).27C22 = Dic10⋊C8φ: C22/C2C2 ⊆ Out C2×C5⋊C8320(C2xC5:C8).27C2^2320,1041
(C2×C5⋊C8).28C22 = D102M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).28C2^2320,1042
(C2×C5⋊C8).29C22 = C20⋊M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).29C2^2320,1043
(C2×C5⋊C8).30C22 = C4⋊C4.7F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).30C2^2320,1044
(C2×C5⋊C8).31C22 = Dic5.M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C8320(C2xC5:C8).31C2^2320,1045
(C2×C5⋊C8).32C22 = C20.M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C8320(C2xC5:C8).32C2^2320,1047
(C2×C5⋊C8).33C22 = C2×C20⋊C8φ: C22/C2C2 ⊆ Out C2×C5⋊C8320(C2xC5:C8).33C2^2320,1085
(C2×C5⋊C8).34C22 = Dic5.12M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).34C2^2320,1086
(C2×C5⋊C8).35C22 = C2×C10.C42φ: C22/C2C2 ⊆ Out C2×C5⋊C8320(C2xC5:C8).35C2^2320,1087
(C2×C5⋊C8).36C22 = C4×C22.F5φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).36C2^2320,1088
(C2×C5⋊C8).37C22 = C2×Dic5⋊C8φ: C22/C2C2 ⊆ Out C2×C5⋊C8320(C2xC5:C8).37C2^2320,1090
(C2×C5⋊C8).38C22 = C20.34M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).38C2^2320,1092
(C2×C5⋊C8).39C22 = D4×C5⋊C8φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).39C2^2320,1110
(C2×C5⋊C8).40C22 = C5⋊C87D4φ: C22/C2C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).40C2^2320,1111
(C2×C5⋊C8).41C22 = Q8×C5⋊C8φ: C22/C2C2 ⊆ Out C2×C5⋊C8320(C2xC5:C8).41C2^2320,1124
(C2×C5⋊C8).42C22 = C20.6M4(2)φ: C22/C2C2 ⊆ Out C2×C5⋊C8320(C2xC5:C8).42C2^2320,1126
(C2×C5⋊C8).43C22 = C4×D5⋊C8φ: trivial image160(C2xC5:C8).43C2^2320,1013
(C2×C5⋊C8).44C22 = C2×C4×C5⋊C8φ: trivial image320(C2xC5:C8).44C2^2320,1084
(C2×C5⋊C8).45C22 = C2×Q8.F5φ: trivial image160(C2xC5:C8).45C2^2320,1597

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