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Extensions 1→N→G→Q→1 with N=C2×C42⋊2C2 and Q=C2

Direct product G=N×Q with N=C2×C42⋊2C2 and Q=C2
dρLabelID
C22×C42⋊2C264C2^2xC4^2:2C2128,2170

Semidirect products G=N:Q with N=C2×C42⋊2C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C42⋊2C2)⋊1C2 = C24.286C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):1C2128,1198
(C2×C42⋊2C2)⋊2C2 = C23.367C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):2C2128,1199
(C2×C42⋊2C2)⋊3C2 = C23.368C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):3C2128,1200
(C2×C42⋊2C2)⋊4C2 = C23.379C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):4C2128,1211
(C2×C42⋊2C2)⋊5C2 = C23.380C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C232(C2xC4^2:2C2):5C2128,1212
(C2×C42⋊2C2)⋊6C2 = C24.573C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):6C2128,1213
(C2×C42⋊2C2)⋊7C2 = C23.412C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):7C2128,1244
(C2×C42⋊2C2)⋊8C2 = C24.311C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):8C2128,1253
(C2×C42⋊2C2)⋊9C2 = C24.326C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):9C2128,1285
(C2×C42⋊2C2)⋊10C2 = C24.327C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):10C2128,1286
(C2×C42⋊2C2)⋊11C2 = C24.331C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):11C2128,1291
(C2×C42⋊2C2)⋊12C2 = C24.332C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):12C2128,1292
(C2×C42⋊2C2)⋊13C2 = C42⋊23D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):13C2128,1333
(C2×C42⋊2C2)⋊14C2 = C42⋊24D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):14C2128,1335
(C2×C42⋊2C2)⋊15C2 = C42⋊30D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):15C2128,1368
(C2×C42⋊2C2)⋊16C2 = C42⋊32D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):16C2128,1394
(C2×C42⋊2C2)⋊17C2 = C23.585C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C232(C2xC4^2:2C2):17C2128,1417
(C2×C42⋊2C2)⋊18C2 = C23.591C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):18C2128,1423
(C2×C42⋊2C2)⋊19C2 = C23.595C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):19C2128,1427
(C2×C42⋊2C2)⋊20C2 = C23.602C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):20C2128,1434
(C2×C42⋊2C2)⋊21C2 = C23.605C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):21C2128,1437
(C2×C42⋊2C2)⋊22C2 = C24.413C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):22C2128,1446
(C2×C42⋊2C2)⋊23C2 = C23.615C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):23C2128,1447
(C2×C42⋊2C2)⋊24C2 = C23.618C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):24C2128,1450
(C2×C42⋊2C2)⋊25C2 = C24.418C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):25C2128,1455
(C2×C42⋊2C2)⋊26C2 = C23.627C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):26C2128,1459
(C2×C42⋊2C2)⋊27C2 = C42⋊33D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):27C2128,1550
(C2×C42⋊2C2)⋊28C2 = C42⋊35D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):28C2128,1555
(C2×C42⋊2C2)⋊29C2 = C42⋊43D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):29C2128,1584
(C2×C42⋊2C2)⋊30C2 = C43⋊13C2φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):30C2128,1592
(C2×C42⋊2C2)⋊31C2 = C2×C22.32C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C232(C2xC4^2:2C2):31C2128,2182
(C2×C42⋊2C2)⋊32C2 = C2×C22.33C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):32C2128,2183
(C2×C42⋊2C2)⋊33C2 = C2×C22.36C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):33C2128,2186
(C2×C42⋊2C2)⋊34C2 = C2×C22.45C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C232(C2xC4^2:2C2):34C2128,2201
(C2×C42⋊2C2)⋊35C2 = C2×C22.46C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):35C2128,2202
(C2×C42⋊2C2)⋊36C2 = C2×C22.47C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):36C2128,2203
(C2×C42⋊2C2)⋊37C2 = C2×C22.50C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):37C2128,2206
(C2×C42⋊2C2)⋊38C2 = C22.110C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C232(C2xC4^2:2C2):38C2128,2253
(C2×C42⋊2C2)⋊39C2 = C2×C22.54C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C232(C2xC4^2:2C2):39C2128,2257
(C2×C42⋊2C2)⋊40C2 = C2×C22.57C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2):40C2128,2260
(C2×C42⋊2C2)⋊41C2 = C22.149C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C232(C2xC4^2:2C2):41C2128,2292
(C2×C42⋊2C2)⋊42C2 = C22.153C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C232(C2xC4^2:2C2):42C2128,2296
(C2×C42⋊2C2)⋊43C2 = C2×C23.36C23φ: trivial image64(C2xC4^2:2C2):43C2128,2171

Non-split extensions G=N.Q with N=C2×C42⋊2C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C42⋊2C2).1C2 = C42.372D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C232(C2xC4^2:2C2).1C2128,205
(C2×C42⋊2C2).2C2 = C24.203C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).2C2128,1066
(C2×C42⋊2C2).3C2 = C23.255C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).3C2128,1105
(C2×C42⋊2C2).4C2 = C24.230C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).4C2128,1115
(C2×C42⋊2C2).5C2 = C23.369C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).5C2128,1201
(C2×C42⋊2C2).6C2 = C24.295C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).6C2128,1210
(C2×C42⋊2C2).7C2 = C23.396C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).7C2128,1228
(C2×C42⋊2C2).8C2 = C23.419C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).8C2128,1251
(C2×C42⋊2C2).9C2 = C42.184D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).9C2128,1336
(C2×C42⋊2C2).10C2 = C42.192D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).10C2128,1369
(C2×C42⋊2C2).11C2 = C42.198D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).11C2128,1396
(C2×C42⋊2C2).12C2 = C23.589C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).12C2128,1421
(C2×C42⋊2C2).13C2 = C24.405C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).13C2128,1430
(C2×C42⋊2C2).14C2 = C23.616C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).14C2128,1448
(C2×C42⋊2C2).15C2 = C23.621C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).15C2128,1453
(C2×C42⋊2C2).16C2 = C23.622C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).16C2128,1454
(C2×C42⋊2C2).17C2 = C23.625C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).17C2128,1457
(C2×C42⋊2C2).18C2 = C42.200D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).18C2128,1553
(C2×C42⋊2C2).19C2 = C2×C22.35C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊2C264(C2xC4^2:2C2).19C2128,2185
(C2×C42⋊2C2).20C2 = C4×C42⋊2C2φ: trivial image64(C2xC4^2:2C2).20C2128,1036

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