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Extensions 1→N→G→Q→1 with N=C22×C4⋊C4 and Q=C2

Direct product G=N×Q with N=C22×C4⋊C4 and Q=C2
dρLabelID
C23×C4⋊C4128C2^3xC4:C4128,2152

Semidirect products G=N:Q with N=C22×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C4⋊C4)⋊1C2 = C24.5Q8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):1C2128,171
(C22×C4⋊C4)⋊2C2 = C23.38D8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):2C2128,606
(C22×C4⋊C4)⋊3C2 = C2×C23.7Q8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):3C2128,1010
(C22×C4⋊C4)⋊4C2 = C2×C23.8Q8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):4C2128,1018
(C22×C4⋊C4)⋊5C2 = C2×C24.C22φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):5C2128,1021
(C22×C4⋊C4)⋊6C2 = C2×C24.3C22φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):6C2128,1024
(C22×C4⋊C4)⋊7C2 = C24.542C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):7C2128,1043
(C22×C4⋊C4)⋊8C2 = C24.195C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):8C2128,1054
(C22×C4⋊C4)⋊9C2 = D4×C4⋊C4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):9C2128,1080
(C22×C4⋊C4)⋊10C2 = C23.234C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):10C2128,1084
(C22×C4⋊C4)⋊11C2 = C24.215C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):11C2128,1093
(C22×C4⋊C4)⋊12C2 = C2×C23.10D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):12C2128,1118
(C22×C4⋊C4)⋊13C2 = C2×C23.Q8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):13C2128,1121
(C22×C4⋊C4)⋊14C2 = C2×C23.11D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):14C2128,1122
(C22×C4⋊C4)⋊15C2 = C2×C23.4Q8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):15C2128,1125
(C22×C4⋊C4)⋊16C2 = C24.243C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):16C2128,1138
(C22×C4⋊C4)⋊17C2 = C23.313C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):17C2128,1145
(C22×C4⋊C4)⋊18C2 = C23.316C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):18C2128,1148
(C22×C4⋊C4)⋊19C2 = C24.252C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):19C2128,1149
(C22×C4⋊C4)⋊20C2 = C24.269C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):20C2128,1175
(C22×C4⋊C4)⋊21C2 = C23.349C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):21C2128,1181
(C22×C4⋊C4)⋊22C2 = C24.573C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):22C2128,1213
(C22×C4⋊C4)⋊23C2 = C24.299C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):23C2128,1218
(C22×C4⋊C4)⋊24C2 = C24.300C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):24C2128,1219
(C22×C4⋊C4)⋊25C2 = C23.401C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):25C2128,1233
(C22×C4⋊C4)⋊26C2 = C23.404C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):26C2128,1236
(C22×C4⋊C4)⋊27C2 = C23.479C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):27C2128,1311
(C22×C4⋊C4)⋊28C2 = C23.491C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):28C2128,1323
(C22×C4⋊C4)⋊29C2 = C24.587C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):29C2128,1350
(C22×C4⋊C4)⋊30C2 = C24.589C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):30C2128,1355
(C22×C4⋊C4)⋊31C2 = C22×D4⋊C4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):31C2128,1622
(C22×C4⋊C4)⋊32C2 = C2×C23.36D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):32C2128,1627
(C22×C4⋊C4)⋊33C2 = C2×C22.D8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):33C2128,1817
(C22×C4⋊C4)⋊34C2 = C2×C23.46D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):34C2128,1821
(C22×C4⋊C4)⋊35C2 = C24.183D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C432(C2^2xC4:C4):35C2128,1824
(C22×C4⋊C4)⋊36C2 = C2×C23.33C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):36C2128,2159
(C22×C4⋊C4)⋊37C2 = C22×C4⋊D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):37C2128,2164
(C22×C4⋊C4)⋊38C2 = C22×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):38C2128,2165
(C22×C4⋊C4)⋊39C2 = C22×C22.D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):39C2128,2166
(C22×C4⋊C4)⋊40C2 = C22×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):40C2128,2170
(C22×C4⋊C4)⋊41C2 = C2×C22.31C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):41C2128,2180
(C22×C4⋊C4)⋊42C2 = C2×C22.33C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):42C2128,2183
(C22×C4⋊C4)⋊43C2 = C2×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):43C2128,2196
(C22×C4⋊C4)⋊44C2 = C2×C22.46C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):44C2128,2202
(C22×C4⋊C4)⋊45C2 = C2×C22.47C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):45C2128,2203
(C22×C4⋊C4)⋊46C2 = C2×D4⋊3Q8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4):46C2128,2204
(C22×C4⋊C4)⋊47C2 = C22.81C25φ: C2/C1 → C2 ⊆ Out C22×C4⋊C432(C2^2xC4:C4):47C2128,2224
(C22×C4⋊C4)⋊48C2 = C22×C42⋊C2φ: trivial image64(C2^2xC4:C4):48C2128,2153
(C22×C4⋊C4)⋊49C2 = D4×C22×C4φ: trivial image64(C2^2xC4:C4):49C2128,2154

Non-split extensions G=N.Q with N=C22×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C4⋊C4).1C2 = C24.625C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).1C2128,167
(C22×C4⋊C4).2C2 = C24.626C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).2C2128,168
(C22×C4⋊C4).3C2 = C24.631C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).3C2128,173
(C22×C4⋊C4).4C2 = C24.632C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).4C2128,174
(C22×C4⋊C4).5C2 = C24.634C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).5C2128,176
(C22×C4⋊C4).6C2 = C24.635C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).6C2128,177
(C22×C4⋊C4).7C2 = C2×C22.M4(2)φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).7C2128,189
(C22×C4⋊C4).8C2 = (C2×C4)⋊M4(2)φ: C2/C1 → C2 ⊆ Out C22×C4⋊C432(C2^2xC4:C4).8C2128,195
(C22×C4⋊C4).9C2 = C2×C22.4Q16φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).9C2128,466
(C22×C4⋊C4).10C2 = C24.152D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).10C2128,468
(C22×C4⋊C4).11C2 = C2×C22.C42φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).11C2128,473
(C22×C4⋊C4).12C2 = (C22×C4).275D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C432(C2^2xC4:C4).12C2128,553
(C22×C4⋊C4).13C2 = C23.36D8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).13C2128,555
(C22×C4⋊C4).14C2 = C24.157D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).14C2128,556
(C22×C4⋊C4).15C2 = C23.37D8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).15C2128,584
(C22×C4⋊C4).16C2 = C24.159D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).16C2128,585
(C22×C4⋊C4).17C2 = C24.160D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).17C2128,604
(C22×C4⋊C4).18C2 = C24.524C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).18C2128,1006
(C22×C4⋊C4).19C2 = C2×C42⋊8C4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).19C2128,1013
(C22×C4⋊C4).20C2 = C2×C42⋊9C4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).20C2128,1016
(C22×C4⋊C4).21C2 = C2×C23.63C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).21C2128,1020
(C22×C4⋊C4).22C2 = C2×C23.65C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).22C2128,1023
(C22×C4⋊C4).23C2 = C2×C23.67C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).23C2128,1026
(C22×C4⋊C4).24C2 = C23.195C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).24C2128,1045
(C22×C4⋊C4).25C2 = C24.545C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).25C2128,1048
(C22×C4⋊C4).26C2 = C23.199C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).26C2128,1049
(C22×C4⋊C4).27C2 = C23.226C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).27C2128,1076
(C22×C4⋊C4).28C2 = C23.227C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).28C2128,1077
(C22×C4⋊C4).29C2 = C24.558C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).29C2128,1092
(C22×C4⋊C4).30C2 = C2×C23.78C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).30C2128,1119
(C22×C4⋊C4).31C2 = C2×C23.81C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).31C2128,1123
(C22×C4⋊C4).32C2 = C2×C23.83C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).32C2128,1126
(C22×C4⋊C4).33C2 = C24.568C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).33C2128,1172
(C22×C4⋊C4).34C2 = C24.569C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).34C2128,1174
(C22×C4⋊C4).35C2 = C24.572C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).35C2128,1205
(C22×C4⋊C4).36C2 = C24.576C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).36C2128,1216
(C22×C4⋊C4).37C2 = C23.402C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).37C2128,1234
(C22×C4⋊C4).38C2 = C24.579C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).38C2128,1235
(C22×C4⋊C4).39C2 = C23.483C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).39C2128,1315
(C22×C4⋊C4).40C2 = C23.527C24φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).40C2128,1359
(C22×C4⋊C4).41C2 = C22×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).41C2128,1623
(C22×C4⋊C4).42C2 = C22×C4.Q8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).42C2128,1639
(C22×C4⋊C4).43C2 = C22×C2.D8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).43C2128,1640
(C22×C4⋊C4).44C2 = C2×M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).44C2128,1642
(C22×C4⋊C4).45C2 = C2×C23.47D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).45C2128,1818
(C22×C4⋊C4).46C2 = C2×C23.48D4φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).46C2128,1822
(C22×C4⋊C4).47C2 = C22×C42.C2φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).47C2128,2169
(C22×C4⋊C4).48C2 = C22×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C22×C4⋊C4128(C2^2xC4:C4).48C2128,2173
(C22×C4⋊C4).49C2 = C2×C23.41C23φ: C2/C1 → C2 ⊆ Out C22×C4⋊C464(C2^2xC4:C4).49C2128,2189
(C22×C4⋊C4).50C2 = C2×C4×C4⋊C4φ: trivial image128(C2^2xC4:C4).50C2128,1001
(C22×C4⋊C4).51C2 = Q8×C22×C4φ: trivial image128(C2^2xC4:C4).51C2128,2155

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