Extensions 1→N→G→Q→1 with N=C2×C8 and Q=Q8

Direct product G=N×Q with N=C2×C8 and Q=Q8
dρLabelID
Q8×C2×C8128Q8xC2xC8128,1690

Semidirect products G=N:Q with N=C2×C8 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊1Q8 = C4⋊C4⋊Q8φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8):1Q8128,789
(C2×C8)⋊2Q8 = C2×C8⋊Q8φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8):2Q8128,1893
(C2×C8)⋊3Q8 = C42.252D4φ: Q8/C2C22 ⊆ Aut C2×C864(C2xC8):3Q8128,1894
(C2×C8)⋊4Q8 = M4(2)⋊3Q8φ: Q8/C2C22 ⊆ Aut C2×C864(C2xC8):4Q8128,1895
(C2×C8)⋊5Q8 = M4(2)⋊4Q8φ: Q8/C2C22 ⊆ Aut C2×C864(C2xC8):5Q8128,1896
(C2×C8)⋊6Q8 = (C2×C8)⋊Q8φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8):6Q8128,790
(C2×C8)⋊7Q8 = C42.120D4φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8):7Q8128,717
(C2×C8)⋊8Q8 = C42.125D4φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8):8Q8128,725
(C2×C8)⋊9Q8 = C42.287C23φ: Q8/C2C22 ⊆ Aut C2×C864(C2xC8):9Q8128,1693
(C2×C8)⋊10Q8 = C42.327D4φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8):10Q8128,716
(C2×C8)⋊11Q8 = C42.436D4φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8):11Q8128,722
(C2×C8)⋊12Q8 = C2×C82Q8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8):12Q8128,1891
(C2×C8)⋊13Q8 = C42.364D4φ: Q8/C4C2 ⊆ Aut C2×C864(C2xC8):13Q8128,1892
(C2×C8)⋊14Q8 = C2×C83Q8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8):14Q8128,1889
(C2×C8)⋊15Q8 = C2×C84Q8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8):15Q8128,1691
(C2×C8)⋊16Q8 = C42.286C23φ: Q8/C4C2 ⊆ Aut C2×C864(C2xC8):16Q8128,1692

Non-split extensions G=N.Q with N=C2×C8 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C8).1Q8 = (C2×C8).1Q8φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).1Q8128,815
(C2×C8).2Q8 = C8.11C42φ: Q8/C2C22 ⊆ Aut C2×C832(C2xC8).2Q8128,115
(C2×C8).3Q8 = C23.9D8φ: Q8/C2C22 ⊆ Aut C2×C8324(C2xC8).3Q8128,116
(C2×C8).4Q8 = C8.13C42φ: Q8/C2C22 ⊆ Aut C2×C8324(C2xC8).4Q8128,117
(C2×C8).5Q8 = C8.C42φ: Q8/C2C22 ⊆ Aut C2×C832(C2xC8).5Q8128,118
(C2×C8).6Q8 = C8.2C42φ: Q8/C2C22 ⊆ Aut C2×C864(C2xC8).6Q8128,119
(C2×C8).7Q8 = M5(2).C4φ: Q8/C2C22 ⊆ Aut C2×C8324(C2xC8).7Q8128,120
(C2×C8).8Q8 = C8.4C42φ: Q8/C2C22 ⊆ Aut C2×C8324(C2xC8).8Q8128,121
(C2×C8).9Q8 = C8.(C4⋊C4)φ: Q8/C2C22 ⊆ Aut C2×C8324(C2xC8).9Q8128,565
(C2×C8).10Q8 = C42.26Q8φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).10Q8128,579
(C2×C8).11Q8 = C42.106D4φ: Q8/C2C22 ⊆ Aut C2×C864(C2xC8).11Q8128,581
(C2×C8).12Q8 = C4.(C4×Q8)φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).12Q8128,675
(C2×C8).13Q8 = C8⋊(C4⋊C4)φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).13Q8128,676
(C2×C8).14Q8 = C42.28Q8φ: Q8/C2C22 ⊆ Aut C2×C832(C2xC8).14Q8128,678
(C2×C8).15Q8 = M4(2).5Q8φ: Q8/C2C22 ⊆ Aut C2×C864(C2xC8).15Q8128,683
(C2×C8).16Q8 = M4(2).6Q8φ: Q8/C2C22 ⊆ Aut C2×C864(C2xC8).16Q8128,684
(C2×C8).17Q8 = M4(2).27D4φ: Q8/C2C22 ⊆ Aut C2×C8324(C2xC8).17Q8128,685
(C2×C8).18Q8 = C2×C8.Q8φ: Q8/C2C22 ⊆ Aut C2×C832(C2xC8).18Q8128,886
(C2×C8).19Q8 = M5(2)⋊3C4φ: Q8/C2C22 ⊆ Aut C2×C8324(C2xC8).19Q8128,887
(C2×C8).20Q8 = M5(2)⋊1C4φ: Q8/C2C22 ⊆ Aut C2×C864(C2xC8).20Q8128,891
(C2×C8).21Q8 = M5(2).1C4φ: Q8/C2C22 ⊆ Aut C2×C8324(C2xC8).21Q8128,893
(C2×C8).22Q8 = C2.(C8⋊Q8)φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).22Q8128,791
(C2×C8).23Q8 = C2.(C83Q8)φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).23Q8128,816
(C2×C8).24Q8 = (C2×C8).24Q8φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).24Q8128,817
(C2×C8).25Q8 = C161C8φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).25Q8128,100
(C2×C8).26Q8 = C42.2C8φ: Q8/C2C22 ⊆ Aut C2×C832(C2xC8).26Q8128,107
(C2×C8).27Q8 = M5(2)⋊C4φ: Q8/C2C22 ⊆ Aut C2×C864(C2xC8).27Q8128,109
(C2×C8).28Q8 = M4(2).C8φ: Q8/C2C22 ⊆ Aut C2×C8324(C2xC8).28Q8128,110
(C2×C8).29Q8 = C8.5C42φ: Q8/C2C22 ⊆ Aut C2×C832(C2xC8).29Q8128,505
(C2×C8).30Q8 = (C2×C8).Q8φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).30Q8128,649
(C2×C8).31Q8 = C42.27Q8φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).31Q8128,672
(C2×C8).32Q8 = C42.124D4φ: Q8/C2C22 ⊆ Aut C2×C8128(C2xC8).32Q8128,724
(C2×C8).33Q8 = M4(2).1C8φ: Q8/C2C22 ⊆ Aut C2×C8324(C2xC8).33Q8128,885
(C2×C8).34Q8 = C82C16φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).34Q8128,99
(C2×C8).35Q8 = C8.36D8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).35Q8128,102
(C2×C8).36Q8 = C163C8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).36Q8128,103
(C2×C8).37Q8 = C164C8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).37Q8128,104
(C2×C8).38Q8 = C4⋊C43C8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).38Q8128,648
(C2×C8).39Q8 = C42.61Q8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).39Q8128,671
(C2×C8).40Q8 = C42.437D4φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).40Q8128,723
(C2×C8).41Q8 = C8.7C42φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).41Q8128,112
(C2×C8).42Q8 = C42.59Q8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).42Q8128,577
(C2×C8).43Q8 = C42.60Q8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).43Q8128,578
(C2×C8).44Q8 = C85(C4⋊C4)φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).44Q8128,674
(C2×C8).45Q8 = C2×C163C4φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).45Q8128,888
(C2×C8).46Q8 = C2×C164C4φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).46Q8128,889
(C2×C8).47Q8 = C2×C8.5Q8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).47Q8128,1890
(C2×C8).48Q8 = C8.9C42φ: Q8/C4C2 ⊆ Aut C2×C864(C2xC8).48Q8128,114
(C2×C8).49Q8 = C42.324D4φ: Q8/C4C2 ⊆ Aut C2×C864(C2xC8).49Q8128,580
(C2×C8).50Q8 = C42.62Q8φ: Q8/C4C2 ⊆ Aut C2×C832(C2xC8).50Q8128,677
(C2×C8).51Q8 = C23.25D8φ: Q8/C4C2 ⊆ Aut C2×C864(C2xC8).51Q8128,890
(C2×C8).52Q8 = C8.8C42φ: Q8/C4C2 ⊆ Aut C2×C864(C2xC8).52Q8128,113
(C2×C8).53Q8 = C42.58Q8φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).53Q8128,576
(C2×C8).54Q8 = C87(C4⋊C4)φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).54Q8128,673
(C2×C8).55Q8 = C2×C8.4Q8φ: Q8/C4C2 ⊆ Aut C2×C864(C2xC8).55Q8128,892
(C2×C8).56Q8 = C42.7C8φ: Q8/C4C2 ⊆ Aut C2×C832(C2xC8).56Q8128,108
(C2×C8).57Q8 = M5(2)⋊7C4φ: Q8/C4C2 ⊆ Aut C2×C864(C2xC8).57Q8128,111
(C2×C8).58Q8 = C4⋊C813C4φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).58Q8128,502
(C2×C8).59Q8 = C4⋊C814C4φ: Q8/C4C2 ⊆ Aut C2×C8128(C2xC8).59Q8128,503
(C2×C8).60Q8 = C8.14C42φ: Q8/C4C2 ⊆ Aut C2×C832(C2xC8).60Q8128,504
(C2×C8).61Q8 = C4⋊M5(2)φ: Q8/C4C2 ⊆ Aut C2×C864(C2xC8).61Q8128,882
(C2×C8).62Q8 = C4⋊C4.7C8φ: Q8/C4C2 ⊆ Aut C2×C864(C2xC8).62Q8128,883
(C2×C8).63Q8 = C2×C8.C8φ: Q8/C4C2 ⊆ Aut C2×C832(C2xC8).63Q8128,884
(C2×C8).64Q8 = C22.7M5(2)central extension (φ=1)128(C2xC8).64Q8128,106
(C2×C8).65Q8 = C8×C4⋊C4central extension (φ=1)128(C2xC8).65Q8128,501
(C2×C8).66Q8 = C2×C4⋊C16central extension (φ=1)128(C2xC8).66Q8128,881

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