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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C42

Direct product G=N×Q with N=C2×C4 and Q=C42
dρLabelID
C2×C43128C2xC4^3128,997

Semidirect products G=N:Q with N=C2×C4 and Q=C42
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1C42 = C4×C23⋊C4φ: C42/C4 → C4 ⊆ Aut C2×C432(C2xC4):1C4^2128,486
(C2×C4)⋊2C42 = C24.626C23φ: C42/C22 → C22 ⊆ Aut C2×C4128(C2xC4):2C4^2128,168
(C2×C4)⋊3C42 = C24.524C23φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4):3C4^2128,1006
(C2×C4)⋊4C42 = C4×C2.C42φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4):4C4^2128,164
(C2×C4)⋊5C42 = C2×C4×C4⋊C4φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4):5C4^2128,1001
(C2×C4)⋊6C42 = C4×C42⋊C2φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4):6C4^2128,1002

Non-split extensions G=N.Q with N=C2×C4 and Q=C42
extensionφ:Q→Aut NdρLabelID
(C2×C4).1C42 = C24.6D4φ: C42/C4 → C4 ⊆ Aut C2×C432(C2xC4).1C4^2128,125
(C2×C4).2C42 = (C2×Q8).Q8φ: C42/C4 → C4 ⊆ Aut C2×C432(C2xC4).2C4^2128,126
(C2×C4).3C42 = (C22×C8)⋊C4φ: C42/C4 → C4 ⊆ Aut C2×C4324(C2xC4).3C4^2128,127
(C2×C4).4C42 = C4×C4.10D4φ: C42/C4 → C4 ⊆ Aut C2×C464(C2xC4).4C4^2128,488
(C2×C4).5C42 = C23.5C42φ: C42/C4 → C4 ⊆ Aut C2×C4324(C2xC4).5C4^2128,489
(C2×C4).6C42 = C23.30D8φ: C42/C22 → C22 ⊆ Aut C2×C432(C2xC4).6C4^2128,26
(C2×C4).7C42 = C42.7Q8φ: C42/C22 → C22 ⊆ Aut C2×C4128(C2xC4).7C4^2128,27
(C2×C4).8C42 = C42.8Q8φ: C42/C22 → C22 ⊆ Aut C2×C4128(C2xC4).8C4^2128,28
(C2×C4).9C42 = C24.48D4φ: C42/C22 → C22 ⊆ Aut C2×C432(C2xC4).9C4^2128,29
(C2×C4).10C42 = C24.3Q8φ: C42/C22 → C22 ⊆ Aut C2×C432(C2xC4).10C4^2128,30
(C2×C4).11C42 = C42.388D4φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4).11C4^2128,31
(C2×C4).12C42 = C42.9Q8φ: C42/C22 → C22 ⊆ Aut C2×C432(C2xC4).12C4^2128,32
(C2×C4).13C42 = C42.389D4φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4).13C4^2128,33
(C2×C4).14C42 = C42.370D4φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4).14C4^2128,34
(C2×C4).15C42 = C42.10Q8φ: C42/C22 → C22 ⊆ Aut C2×C432(C2xC4).15C4^2128,35
(C2×C4).16C42 = C82⋊15C2φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4).16C4^2128,185
(C2×C4).17C42 = C82⋊2C2φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4).17C4^2128,186
(C2×C4).18C42 = C8⋊6M4(2)φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4).18C4^2128,187
(C2×C4).19C42 = C24.63D4φ: C42/C22 → C22 ⊆ Aut C2×C432(C2xC4).19C4^2128,465
(C2×C4).20C42 = C24.152D4φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4).20C4^2128,468
(C2×C4).21C42 = C24.7Q8φ: C42/C22 → C22 ⊆ Aut C2×C432(C2xC4).21C4^2128,470
(C2×C4).22C42 = C2×C22.C42φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4).22C4^2128,473
(C2×C4).23C42 = C42.379D4φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4).23C4^2128,482
(C2×C4).24C42 = C23.17C42φ: C42/C22 → C22 ⊆ Aut C2×C464(C2xC4).24C4^2128,485
(C2×C4).25C42 = C42.45Q8φ: C42/C22 → C22 ⊆ Aut C2×C4128(C2xC4).25C4^2128,500
(C2×C4).26C42 = C4⋊C8⋊14C4φ: C42/C22 → C22 ⊆ Aut C2×C4128(C2xC4).26C4^2128,503
(C2×C4).27C42 = M4(2)○2M4(2)φ: C42/C22 → C22 ⊆ Aut C2×C432(C2xC4).27C4^2128,1605
(C2×C4).28C42 = C24.46D4φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).28C4^2128,16
(C2×C4).29C42 = C42.4Q8φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).29C4^2128,17
(C2×C4).30C42 = C42.5Q8φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).30C4^2128,18
(C2×C4).31C42 = C42.23D4φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).31C4^2128,19
(C2×C4).32C42 = C42.6Q8φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).32C4^2128,20
(C2×C4).33C42 = C23.8D8φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).33C4^2128,21
(C2×C4).34C42 = C42.25D4φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).34C4^2128,22
(C2×C4).35C42 = C42.26D4φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).35C4^2128,23
(C2×C4).36C42 = C42.27D4φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).36C4^2128,24
(C2×C4).37C42 = C24.2Q8φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).37C4^2128,25
(C2×C4).38C42 = C24.624C23φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).38C4^2128,166
(C2×C4).39C42 = C4×C8⋊C4φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).39C4^2128,457
(C2×C4).40C42 = C2.C43φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).40C4^2128,458
(C2×C4).41C42 = C43.C2φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).41C4^2128,477
(C2×C4).42C42 = (C4×C8)⋊12C4φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).42C4^2128,478
(C2×C4).43C42 = C4×C22⋊C8φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).43C4^2128,480
(C2×C4).44C42 = C42.378D4φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).44C4^2128,481
(C2×C4).45C42 = C8×C22⋊C4φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).45C4^2128,483
(C2×C4).46C42 = C23.36C42φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).46C4^2128,484
(C2×C4).47C42 = C43.7C2φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).47C4^2128,499
(C2×C4).48C42 = C8×C4⋊C4φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).48C4^2128,501
(C2×C4).49C42 = C42⋊6C8φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).49C4^2128,8
(C2×C4).50C42 = C42.385D4φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).50C4^2128,9
(C2×C4).51C42 = M4(2)⋊C8φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).51C4^2128,10
(C2×C4).52C42 = C42.46Q8φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).52C4^2128,11
(C2×C4).53C42 = C42.7C8φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).53C4^2128,108
(C2×C4).54C42 = M5(2)⋊C4φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).54C4^2128,109
(C2×C4).55C42 = M4(2).C8φ: C42/C2×C4 → C2 ⊆ Aut C2×C4324(C2xC4).55C4^2128,110
(C2×C4).56C42 = M5(2)⋊7C4φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).56C4^2128,111
(C2×C4).57C42 = C24.625C23φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).57C4^2128,167
(C2×C4).58C42 = C8×M4(2)φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).58C4^2128,181
(C2×C4).59C42 = C82⋊C2φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).59C4^2128,182
(C2×C4).60C42 = C8⋊9M4(2)φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).60C4^2128,183
(C2×C4).61C42 = C23.27C42φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).61C4^2128,184
(C2×C4).62C42 = C23.28C42φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).62C4^2128,460
(C2×C4).63C42 = C23.29C42φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).63C4^2128,461
(C2×C4).64C42 = C2×C42⋊6C4φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).64C4^2128,464
(C2×C4).65C42 = C2×C22.4Q16φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).65C4^2128,466
(C2×C4).66C42 = C24.132D4φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).66C4^2128,467
(C2×C4).67C42 = C2×C4.C42φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).67C4^2128,469
(C2×C4).68C42 = C24.162C23φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).68C4^2128,472
(C2×C4).69C42 = C23.15C42φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).69C4^2128,474
(C2×C4).70C42 = C2×M4(2)⋊4C4φ: C42/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).70C4^2128,475
(C2×C4).71C42 = C4×C4⋊C8φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).71C4^2128,498
(C2×C4).72C42 = C4⋊C8⋊13C4φ: C42/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).72C4^2128,502
(C2×C4).73C42 = C4×M5(2)φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).73C4^2128,839
(C2×C4).74C42 = C16○2M5(2)φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).74C4^2128,840
(C2×C4).75C42 = C8.23C42φ: C42/C2×C4 → C2 ⊆ Aut C2×C4324(C2xC4).75C4^2128,842
(C2×C4).76C42 = C2×C4×M4(2)φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).76C4^2128,1603
(C2×C4).77C42 = C2×C8○2M4(2)φ: C42/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).77C4^2128,1604
(C2×C4).78C42 = C42⋊1C8central extension (φ=1)32(C2xC4).78C4^2128,6
(C2×C4).79C42 = C42.20D4central extension (φ=1)64(C2xC4).79C4^2128,7
(C2×C4).80C42 = C16⋊5C8central extension (φ=1)128(C2xC4).80C4^2128,43
(C2×C4).81C42 = C8⋊C16central extension (φ=1)128(C2xC4).81C4^2128,44
(C2×C4).82C42 = C16⋊C8central extension (φ=1)128(C2xC4).82C4^2128,45
(C2×C4).83C42 = C22.7M5(2)central extension (φ=1)128(C2xC4).83C4^2128,106
(C2×C4).84C42 = C42.2C8central extension (φ=1)32(C2xC4).84C4^2128,107
(C2×C4).85C42 = C2×C8⋊C8central extension (φ=1)128(C2xC4).85C4^2128,180
(C2×C4).86C42 = C2×C22.7C42central extension (φ=1)128(C2xC4).86C4^2128,459
(C2×C4).87C42 = C2×C4.9C42central extension (φ=1)32(C2xC4).87C4^2128,462
(C2×C4).88C42 = C2×C4.10C42central extension (φ=1)32(C2xC4).88C4^2128,463
(C2×C4).89C42 = C42⋊4C8central extension (φ=1)128(C2xC4).89C4^2128,476
(C2×C4).90C42 = C2×C16⋊5C4central extension (φ=1)128(C2xC4).90C4^2128,838
(C2×C4).91C42 = C2×C16⋊C4central extension (φ=1)32(C2xC4).91C4^2128,841
(C2×C4).92C42 = C2×C42⋊4C4central extension (φ=1)128(C2xC4).92C4^2128,999
(C2×C4).93C42 = C22×C8⋊C4central extension (φ=1)128(C2xC4).93C4^2128,1602

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