# Extensions 1→N→G→Q→1 with N=C2×D4 and Q=Q8

Direct product G=N×Q with N=C2×D4 and Q=Q8
dρLabelID
C2×D4×Q864C2xD4xQ8128,2198

Semidirect products G=N:Q with N=C2×D4 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2×D4)⋊1Q8 = (C2×D4)⋊Q8φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4):1Q8128,755
(C2×D4)⋊2Q8 = (C2×D4)⋊2Q8φ: Q8/C2C22 ⊆ Out C2×D432(C2xD4):2Q8128,759
(C2×D4)⋊3Q8 = C42.8D4φ: Q8/C2C22 ⊆ Out C2×D4164(C2xD4):3Q8128,763
(C2×D4)⋊4Q8 = C23.583C24φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4):4Q8128,1415
(C2×D4)⋊5Q8 = C23.592C24φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4):5Q8128,1424
(C2×D4)⋊6Q8 = C23.632C24φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4):6Q8128,1464
(C2×D4)⋊7Q8 = C24.450C23φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4):7Q8128,1516
(C2×D4)⋊8Q8 = C24.456C23φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4):8Q8128,1536
(C2×D4)⋊9Q8 = C42.20C23φ: Q8/C2C22 ⊆ Out C2×D432(C2xD4):9Q8128,1813
(C2×D4)⋊10Q8 = C23.309C24φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):10Q8128,1141
(C2×D4)⋊11Q8 = C24.252C23φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):11Q8128,1149
(C2×D4)⋊12Q8 = C23.349C24φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):12Q8128,1181
(C2×D4)⋊13Q8 = C23.350C24φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):13Q8128,1182
(C2×D4)⋊14Q8 = C23.352C24φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):14Q8128,1184
(C2×D4)⋊15Q8 = C42.166D4φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):15Q8128,1270
(C2×D4)⋊16Q8 = C42.167D4φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):16Q8128,1274
(C2×D4)⋊17Q8 = C42.173D4φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):17Q8128,1295
(C2×D4)⋊18Q8 = C24.583C23φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):18Q8128,1296
(C2×D4)⋊19Q8 = C42.178D4φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):19Q8128,1312
(C2×D4)⋊20Q8 = C2×D4⋊Q8φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):20Q8128,1802
(C2×D4)⋊21Q8 = C2×D42Q8φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4):21Q8128,1803
(C2×D4)⋊22Q8 = C42.219D4φ: Q8/C4C2 ⊆ Out C2×D432(C2xD4):22Q8128,1809
(C2×D4)⋊23Q8 = C22.90C25φ: Q8/C4C2 ⊆ Out C2×D432(C2xD4):23Q8128,2233
(C2×D4)⋊24Q8 = C2×D43Q8φ: trivial image64(C2xD4):24Q8128,2204

Non-split extensions G=N.Q with N=C2×D4 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2×D4).1Q8 = C24.5D4φ: Q8/C2C22 ⊆ Out C2×D432(C2xD4).1Q8128,122
(C2×D4).2Q8 = C23.3C42φ: Q8/C2C22 ⊆ Out C2×D4324(C2xD4).2Q8128,124
(C2×D4).3Q8 = C24.6D4φ: Q8/C2C22 ⊆ Out C2×D432(C2xD4).3Q8128,125
(C2×D4).4Q8 = (C22×C8)⋊C4φ: Q8/C2C22 ⊆ Out C2×D4324(C2xD4).4Q8128,127
(C2×D4).5Q8 = C24.21D4φ: Q8/C2C22 ⊆ Out C2×D432(C2xD4).5Q8128,588
(C2×D4).6Q8 = M4(2).40D4φ: Q8/C2C22 ⊆ Out C2×D4324(C2xD4).6Q8128,590
(C2×D4).7Q8 = M4(2).41D4φ: Q8/C2C22 ⊆ Out C2×D4164(C2xD4).7Q8128,593
(C2×D4).8Q8 = C24.22D4φ: Q8/C2C22 ⊆ Out C2×D432(C2xD4).8Q8128,599
(C2×D4).9Q8 = (C2×D4).Q8φ: Q8/C2C22 ⊆ Out C2×D4324(C2xD4).9Q8128,600
(C2×D4).10Q8 = C4⋊C4.84D4φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4).10Q8128,757
(C2×D4).11Q8 = M4(2).12D4φ: Q8/C2C22 ⊆ Out C2×D432(C2xD4).11Q8128,795
(C2×D4).12Q8 = C4⋊C4.106D4φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4).12Q8128,797
(C2×D4).13Q8 = (C2×C4).23D8φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4).13Q8128,799
(C2×D4).14Q8 = (C2×C8).168D4φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4).14Q8128,824
(C2×D4).15Q8 = (C2×C4).27D8φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4).15Q8128,825
(C2×D4).16Q8 = (C2×C8).169D4φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4).16Q8128,826
(C2×D4).17Q8 = C42.10D4φ: Q8/C2C22 ⊆ Out C2×D4324(C2xD4).17Q8128,830
(C2×D4).18Q8 = C24.434C23φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4).18Q8128,1480
(C2×D4).19Q8 = C24.448C23φ: Q8/C2C22 ⊆ Out C2×D464(C2xD4).19Q8128,1512
(C2×D4).20Q8 = C24.167C23φ: Q8/C4C2 ⊆ Out C2×D432(C2xD4).20Q8128,531
(C2×D4).21Q8 = C42.96D4φ: Q8/C4C2 ⊆ Out C2×D432(C2xD4).21Q8128,532
(C2×D4).22Q8 = C42.98D4φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4).22Q8128,534
(C2×D4).23Q8 = C42.100D4φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4).23Q8128,536
(C2×D4).24Q8 = (C2×D4).24Q8φ: Q8/C4C2 ⊆ Out C2×D4324(C2xD4).24Q8128,544
(C2×D4).25Q8 = (C2×C8).103D4φ: Q8/C4C2 ⊆ Out C2×D4324(C2xD4).25Q8128,545
(C2×D4).26Q8 = C8○D4⋊C4φ: Q8/C4C2 ⊆ Out C2×D4324(C2xD4).26Q8128,546
(C2×D4).27Q8 = C2.(C4×D8)φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4).27Q8128,594
(C2×D4).28Q8 = D4⋊(C4⋊C4)φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4).28Q8128,596
(C2×D4).29Q8 = C23.354C24φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4).29Q8128,1186
(C2×D4).30Q8 = C24.300C23φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4).30Q8128,1219
(C2×D4).31Q8 = C42.175D4φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4).31Q8128,1298
(C2×D4).32Q8 = C23.479C24φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4).32Q8128,1311
(C2×D4).33Q8 = M4(2).29C23φ: Q8/C4C2 ⊆ Out C2×D4324(C2xD4).33Q8128,1648
(C2×D4).34Q8 = C2×D4.Q8φ: Q8/C4C2 ⊆ Out C2×D464(C2xD4).34Q8128,1804
(C2×D4).35Q8 = D4×C4⋊C4φ: trivial image64(C2xD4).35Q8128,1080
(C2×D4).36Q8 = C23.231C24φ: trivial image64(C2xD4).36Q8128,1081

׿
×
𝔽