# Extensions 1→N→G→Q→1 with N=C2×C4 and Q=S32

Direct product G=N×Q with N=C2×C4 and Q=S32
dρLabelID
S32×C2×C448S3^2xC2xC4288,950

Semidirect products G=N:Q with N=C2×C4 and Q=S32
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1S32 = D64D12φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4):1S3^2288,570
(C2×C4)⋊2S32 = D65D12φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4):2S3^2288,571
(C2×C4)⋊3S32 = D1224D6φ: S32/C32C22 ⊆ Aut C2×C4484(C2xC4):3S3^2288,955
(C2×C4)⋊4S32 = D1227D6φ: S32/C32C22 ⊆ Aut C2×C4244+(C2xC4):4S3^2288,956
(C2×C4)⋊5S32 = S3×D6⋊C4φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4):5S3^2288,568
(C2×C4)⋊6S32 = C2×S3×D12φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4):6S3^2288,951
(C2×C4)⋊7S32 = S3×C4○D12φ: S32/C3×S3C2 ⊆ Aut C2×C4484(C2xC4):7S3^2288,953
(C2×C4)⋊8S32 = C62.91C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4):8S3^2288,569
(C2×C4)⋊9S32 = C2×D6⋊D6φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4):9S3^2288,952
(C2×C4)⋊10S32 = D1223D6φ: S32/C3⋊S3C2 ⊆ Aut C2×C4244(C2xC4):10S3^2288,954

Non-split extensions G=N.Q with N=C2×C4 and Q=S32
extensionφ:Q→Aut NdρLabelID
(C2×C4).1S32 = C12.D12φ: S32/C32C22 ⊆ Aut C2×C4484(C2xC4).1S3^2288,206
(C2×C4).2S32 = C12.70D12φ: S32/C32C22 ⊆ Aut C2×C4244+(C2xC4).2S3^2288,207
(C2×C4).3S32 = C12.14D12φ: S32/C32C22 ⊆ Aut C2×C4484(C2xC4).3S3^2288,208
(C2×C4).4S32 = C12.71D12φ: S32/C32C22 ⊆ Aut C2×C4484-(C2xC4).4S3^2288,209
(C2×C4).5S32 = D1220D6φ: S32/C32C22 ⊆ Aut C2×C4484(C2xC4).5S3^2288,471
(C2×C4).6S32 = D1218D6φ: S32/C32C22 ⊆ Aut C2×C4244+(C2xC4).6S3^2288,473
(C2×C4).7S32 = D12.32D6φ: S32/C32C22 ⊆ Aut C2×C4484(C2xC4).7S3^2288,475
(C2×C4).8S32 = D12.28D6φ: S32/C32C22 ⊆ Aut C2×C4484(C2xC4).8S3^2288,478
(C2×C4).9S32 = D12.29D6φ: S32/C32C22 ⊆ Aut C2×C4484-(C2xC4).9S3^2288,479
(C2×C4).10S32 = Dic6.29D6φ: S32/C32C22 ⊆ Aut C2×C4484(C2xC4).10S3^2288,481
(C2×C4).11S32 = C62.9C23φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).11S3^2288,487
(C2×C4).12S32 = C62.10C23φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).12S3^2288,488
(C2×C4).13S32 = Dic3.Dic6φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).13S3^2288,493
(C2×C4).14S32 = C62.16C23φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).14S3^2288,494
(C2×C4).15S32 = C62.17C23φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).15S3^2288,495
(C2×C4).16S32 = C62.18C23φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4).16S3^2288,496
(C2×C4).17S32 = C62.24C23φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4).17S3^2288,502
(C2×C4).18S32 = C62.28C23φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).18S3^2288,506
(C2×C4).19S32 = C62.31C23φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).19S3^2288,509
(C2×C4).20S32 = C62.54C23φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).20S3^2288,532
(C2×C4).21S32 = C62.55C23φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).21S3^2288,533
(C2×C4).22S32 = Dic3⋊D12φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4).22S3^2288,534
(C2×C4).23S32 = D61Dic6φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).23S3^2288,535
(C2×C4).24S32 = C62.58C23φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4).24S3^2288,536
(C2×C4).25S32 = D6.D12φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4).25S3^2288,538
(C2×C4).26S32 = D6.9D12φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).26S3^2288,539
(C2×C4).27S32 = D62Dic6φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).27S3^2288,541
(C2×C4).28S32 = C62.65C23φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4).28S3^2288,543
(C2×C4).29S32 = D63Dic6φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).29S3^2288,544
(C2×C4).30S32 = C62.67C23φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4).30S3^2288,545
(C2×C4).31S32 = D64Dic6φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).31S3^2288,547
(C2×C4).32S32 = C62.77C23φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4).32S3^2288,555
(C2×C4).33S32 = Dic33D12φ: S32/C32C22 ⊆ Aut C2×C448(C2xC4).33S3^2288,558
(C2×C4).34S32 = C62.83C23φ: S32/C32C22 ⊆ Aut C2×C496(C2xC4).34S3^2288,561
(C2×C4).35S32 = D12.33D6φ: S32/C32C22 ⊆ Aut C2×C4484(C2xC4).35S3^2288,945
(C2×C4).36S32 = D12.34D6φ: S32/C32C22 ⊆ Aut C2×C4484-(C2xC4).36S3^2288,946
(C2×C4).37S32 = C62.6C23φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).37S3^2288,484
(C2×C4).38S32 = Dic35Dic6φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).38S3^2288,485
(C2×C4).39S32 = C62.20C23φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).39S3^2288,498
(C2×C4).40S32 = D6⋊Dic6φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).40S3^2288,499
(C2×C4).41S32 = Dic3.D12φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).41S3^2288,500
(C2×C4).42S32 = C62.29C23φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).42S3^2288,507
(C2×C4).43S32 = C62.37C23φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).43S3^2288,515
(C2×C4).44S32 = C62.38C23φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).44S3^2288,516
(C2×C4).45S32 = S3×Dic3⋊C4φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).45S3^2288,524
(C2×C4).46S32 = C62.47C23φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).46S3^2288,525
(C2×C4).47S32 = C62.49C23φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).47S3^2288,527
(C2×C4).48S32 = Dic34D12φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).48S3^2288,528
(C2×C4).49S32 = C62.74C23φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).49S3^2288,552
(C2×C4).50S32 = C62.75C23φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).50S3^2288,553
(C2×C4).51S32 = D6⋊D12φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).51S3^2288,554
(C2×C4).52S32 = C6.16D24φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).52S3^2288,211
(C2×C4).53S32 = C6.17D24φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).53S3^2288,212
(C2×C4).54S32 = C6.Dic12φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).54S3^2288,214
(C2×C4).55S32 = C12.73D12φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).55S3^2288,215
(C2×C4).56S32 = D122Dic3φ: S32/C3×S3C2 ⊆ Aut C2×C4484(C2xC4).56S3^2288,217
(C2×C4).57S32 = C12.80D12φ: S32/C3×S3C2 ⊆ Aut C2×C4484(C2xC4).57S3^2288,218
(C2×C4).58S32 = C12.Dic6φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).58S3^2288,221
(C2×C4).59S32 = C6.18D24φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).59S3^2288,223
(C2×C4).60S32 = C12.82D12φ: S32/C3×S3C2 ⊆ Aut C2×C4484(C2xC4).60S3^2288,225
(C2×C4).61S32 = S3×C4.Dic3φ: S32/C3×S3C2 ⊆ Aut C2×C4484(C2xC4).61S3^2288,461
(C2×C4).62S32 = D12.2Dic3φ: S32/C3×S3C2 ⊆ Aut C2×C4484(C2xC4).62S3^2288,462
(C2×C4).63S32 = C3⋊C8.22D6φ: S32/C3×S3C2 ⊆ Aut C2×C4484(C2xC4).63S3^2288,465
(C2×C4).64S32 = C2×C3⋊D24φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).64S3^2288,472
(C2×C4).65S32 = C2×D12.S3φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).65S3^2288,476
(C2×C4).66S32 = D12.27D6φ: S32/C3×S3C2 ⊆ Aut C2×C4484(C2xC4).66S3^2288,477
(C2×C4).67S32 = C2×C325SD16φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).67S3^2288,480
(C2×C4).68S32 = C2×C323Q16φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).68S3^2288,483
(C2×C4).69S32 = C62.11C23φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).69S3^2288,489
(C2×C4).70S32 = Dic3×Dic6φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).70S3^2288,490
(C2×C4).71S32 = Dic36Dic6φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).71S3^2288,492
(C2×C4).72S32 = D66Dic6φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).72S3^2288,504
(C2×C4).73S32 = D67Dic6φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).73S3^2288,505
(C2×C4).74S32 = C12.27D12φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).74S3^2288,508
(C2×C4).75S32 = C12.28D12φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).75S3^2288,512
(C2×C4).76S32 = Dic3⋊Dic6φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).76S3^2288,514
(C2×C4).77S32 = C62.39C23φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).77S3^2288,517
(C2×C4).78S32 = S3×C4⋊Dic3φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).78S3^2288,537
(C2×C4).79S32 = Dic3×D12φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).79S3^2288,540
(C2×C4).80S32 = Dic35D12φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).80S3^2288,542
(C2×C4).81S32 = D62D12φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).81S3^2288,556
(C2×C4).82S32 = C127D12φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).82S3^2288,557
(C2×C4).83S32 = C12⋊D12φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).83S3^2288,559
(C2×C4).84S32 = C123Dic6φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).84S3^2288,566
(C2×C4).85S32 = C2×S3×Dic6φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).85S3^2288,942
(C2×C4).86S32 = C2×D125S3φ: S32/C3×S3C2 ⊆ Aut C2×C496(C2xC4).86S3^2288,943
(C2×C4).87S32 = C2×D6.6D6φ: S32/C3×S3C2 ⊆ Aut C2×C448(C2xC4).87S3^2288,949
(C2×C4).88S32 = C62.8C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).88S3^2288,486
(C2×C4).89S32 = C62.23C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).89S3^2288,501
(C2×C4).90S32 = C62.32C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).90S3^2288,510
(C2×C4).91S32 = C62.35C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).91S3^2288,513
(C2×C4).92S32 = C62.40C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).92S3^2288,518
(C2×C4).93S32 = C62.48C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).93S3^2288,526
(C2×C4).94S32 = C62.51C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).94S3^2288,529
(C2×C4).95S32 = C62.53C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).95S3^2288,531
(C2×C4).96S32 = C62.72C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).96S3^2288,550
(C2×C4).97S32 = C62.82C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).97S3^2288,560
(C2×C4).98S32 = C62.85C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).98S3^2288,563
(C2×C4).99S32 = D123Dic3φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).99S3^2288,210
(C2×C4).100S32 = Dic6⋊Dic3φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).100S3^2288,213
(C2×C4).101S32 = D124Dic3φ: S32/C3⋊S3C2 ⊆ Aut C2×C4244(C2xC4).101S3^2288,216
(C2×C4).102S32 = C12.6Dic6φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).102S3^2288,222
(C2×C4).103S32 = C12.8Dic6φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).103S3^2288,224
(C2×C4).104S32 = C62.5Q8φ: S32/C3⋊S3C2 ⊆ Aut C2×C4484(C2xC4).104S3^2288,226
(C2×C4).105S32 = D12.Dic3φ: S32/C3⋊S3C2 ⊆ Aut C2×C4484(C2xC4).105S3^2288,463
(C2×C4).106S32 = C3⋊C820D6φ: S32/C3⋊S3C2 ⊆ Aut C2×C4244(C2xC4).106S3^2288,466
(C2×C4).107S32 = C2×C322D8φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).107S3^2288,469
(C2×C4).108S32 = D12.30D6φ: S32/C3⋊S3C2 ⊆ Aut C2×C4484(C2xC4).108S3^2288,470
(C2×C4).109S32 = C2×Dic6⋊S3φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).109S3^2288,474
(C2×C4).110S32 = C2×C322Q16φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).110S3^2288,482
(C2×C4).111S32 = C62.13C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).111S3^2288,491
(C2×C4).112S32 = C62.19C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).112S3^2288,497
(C2×C4).113S32 = C62.33C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).113S3^2288,511
(C2×C4).114S32 = C12.30D12φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).114S3^2288,519
(C2×C4).115S32 = C62.42C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).115S3^2288,520
(C2×C4).116S32 = C62.43C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).116S3^2288,521
(C2×C4).117S32 = D12⋊Dic3φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).117S3^2288,546
(C2×C4).118S32 = C62.70C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).118S3^2288,548
(C2×C4).119S32 = C62.84C23φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).119S3^2288,562
(C2×C4).120S32 = C122D12φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).120S3^2288,564
(C2×C4).121S32 = C12⋊Dic6φ: S32/C3⋊S3C2 ⊆ Aut C2×C496(C2xC4).121S3^2288,567
(C2×C4).122S32 = C2×D12⋊S3φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).122S3^2288,944
(C2×C4).123S32 = C2×Dic3.D6φ: S32/C3⋊S3C2 ⊆ Aut C2×C448(C2xC4).123S3^2288,947
(C2×C4).124S32 = Dic3×C3⋊C8central extension (φ=1)96(C2xC4).124S3^2288,200
(C2×C4).125S32 = C6.(S3×C8)central extension (φ=1)96(C2xC4).125S3^2288,201
(C2×C4).126S32 = C3⋊C8⋊Dic3central extension (φ=1)96(C2xC4).126S3^2288,202
(C2×C4).127S32 = C2.Dic32central extension (φ=1)96(C2xC4).127S3^2288,203
(C2×C4).128S32 = C12.77D12central extension (φ=1)96(C2xC4).128S3^2288,204
(C2×C4).129S32 = C12.78D12central extension (φ=1)48(C2xC4).129S3^2288,205
(C2×C4).130S32 = C12.81D12central extension (φ=1)96(C2xC4).130S3^2288,219
(C2×C4).131S32 = C12.15Dic6central extension (φ=1)96(C2xC4).131S3^2288,220
(C2×C4).132S32 = C2×S3×C3⋊C8central extension (φ=1)96(C2xC4).132S3^2288,460
(C2×C4).133S32 = C2×C12.29D6central extension (φ=1)48(C2xC4).133S3^2288,464
(C2×C4).134S32 = C2×D6.Dic3central extension (φ=1)96(C2xC4).134S3^2288,467
(C2×C4).135S32 = C2×C12.31D6central extension (φ=1)48(C2xC4).135S3^2288,468
(C2×C4).136S32 = C62.25C23central extension (φ=1)96(C2xC4).136S3^2288,503
(C2×C4).137S32 = C62.44C23central extension (φ=1)48(C2xC4).137S3^2288,522
(C2×C4).138S32 = C4×S3×Dic3central extension (φ=1)96(C2xC4).138S3^2288,523
(C2×C4).139S32 = C4×C6.D6central extension (φ=1)48(C2xC4).139S3^2288,530
(C2×C4).140S32 = C4×D6⋊S3central extension (φ=1)96(C2xC4).140S3^2288,549
(C2×C4).141S32 = C4×C3⋊D12central extension (φ=1)48(C2xC4).141S3^2288,551
(C2×C4).142S32 = C4×C322Q8central extension (φ=1)96(C2xC4).142S3^2288,565
(C2×C4).143S32 = C2×D6.D6central extension (φ=1)48(C2xC4).143S3^2288,948

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