Extensions 1→N→G→Q→1 with N=C2xC4 and Q=D14

Direct product G=NxQ with N=C2xC4 and Q=D14
dρLabelID
D7xC22xC4112D7xC2^2xC4224,175

Semidirect products G=N:Q with N=C2xC4 and Q=D14
extensionφ:Q→Aut NdρLabelID
(C2xC4):1D14 = C22:D28φ: D14/C7C22 ⊆ Aut C2xC456(C2xC4):1D14224,77
(C2xC4):2D14 = C23:D14φ: D14/C7C22 ⊆ Aut C2xC456(C2xC4):2D14224,132
(C2xC4):3D14 = D4:6D14φ: D14/C7C22 ⊆ Aut C2xC4564(C2xC4):3D14224,180
(C2xC4):4D14 = D4:8D14φ: D14/C7C22 ⊆ Aut C2xC4564+(C2xC4):4D14224,185
(C2xC4):5D14 = D7xC22:C4φ: D14/D7C2 ⊆ Aut C2xC456(C2xC4):5D14224,75
(C2xC4):6D14 = C2xD4xD7φ: D14/D7C2 ⊆ Aut C2xC456(C2xC4):6D14224,178
(C2xC4):7D14 = D7xC4oD4φ: D14/D7C2 ⊆ Aut C2xC4564(C2xC4):7D14224,184
(C2xC4):8D14 = C2xD14:C4φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4):8D14224,122
(C2xC4):9D14 = C22xD28φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4):9D14224,176
(C2xC4):10D14 = C2xC4oD28φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4):10D14224,177

Non-split extensions G=N.Q with N=C2xC4 and Q=D14
extensionφ:Q→Aut NdρLabelID
(C2xC4).1D14 = C28.46D4φ: D14/C7C22 ⊆ Aut C2xC4564+(C2xC4).1D14224,29
(C2xC4).2D14 = C4.12D28φ: D14/C7C22 ⊆ Aut C2xC41124-(C2xC4).2D14224,30
(C2xC4).3D14 = C28.D4φ: D14/C7C22 ⊆ Aut C2xC4564(C2xC4).3D14224,39
(C2xC4).4D14 = C28.10D4φ: D14/C7C22 ⊆ Aut C2xC41124(C2xC4).4D14224,42
(C2xC4).5D14 = C22:Dic14φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).5D14224,73
(C2xC4).6D14 = D14.D4φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).6D14224,78
(C2xC4).7D14 = D14:D4φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).7D14224,79
(C2xC4).8D14 = Dic7.D4φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).8D14224,80
(C2xC4).9D14 = C22.D28φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).9D14224,81
(C2xC4).10D14 = Dic7.Q8φ: D14/C7C22 ⊆ Aut C2xC4224(C2xC4).10D14224,84
(C2xC4).11D14 = D14.5D4φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).11D14224,89
(C2xC4).12D14 = C4:D28φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).12D14224,90
(C2xC4).13D14 = D14:Q8φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).13D14224,91
(C2xC4).14D14 = D14:2Q8φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).14D14224,92
(C2xC4).15D14 = C8:D14φ: D14/C7C22 ⊆ Aut C2xC4564+(C2xC4).15D14224,103
(C2xC4).16D14 = C8.D14φ: D14/C7C22 ⊆ Aut C2xC41124-(C2xC4).16D14224,104
(C2xC4).17D14 = D4.D14φ: D14/C7C22 ⊆ Aut C2xC4564(C2xC4).17D14224,127
(C2xC4).18D14 = C23.18D14φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).18D14224,130
(C2xC4).19D14 = Dic7:D4φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).19D14224,134
(C2xC4).20D14 = C28.C23φ: D14/C7C22 ⊆ Aut C2xC41124(C2xC4).20D14224,137
(C2xC4).21D14 = D14:3Q8φ: D14/C7C22 ⊆ Aut C2xC4112(C2xC4).21D14224,141
(C2xC4).22D14 = D4:D14φ: D14/C7C22 ⊆ Aut C2xC4564+(C2xC4).22D14224,144
(C2xC4).23D14 = D4.9D14φ: D14/C7C22 ⊆ Aut C2xC41124-(C2xC4).23D14224,146
(C2xC4).24D14 = Q8.10D14φ: D14/C7C22 ⊆ Aut C2xC41124(C2xC4).24D14224,183
(C2xC4).25D14 = D4.10D14φ: D14/C7C22 ⊆ Aut C2xC41124-(C2xC4).25D14224,186
(C2xC4).26D14 = C23.11D14φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).26D14224,72
(C2xC4).27D14 = C23.D14φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).27D14224,74
(C2xC4).28D14 = Dic7:4D4φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).28D14224,76
(C2xC4).29D14 = Dic7:3Q8φ: D14/D7C2 ⊆ Aut C2xC4224(C2xC4).29D14224,82
(C2xC4).30D14 = D7xC4:C4φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).30D14224,86
(C2xC4).31D14 = D28:C4φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).31D14224,88
(C2xC4).32D14 = C4:C4:D7φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).32D14224,93
(C2xC4).33D14 = C28.Q8φ: D14/D7C2 ⊆ Aut C2xC4224(C2xC4).33D14224,13
(C2xC4).34D14 = C4.Dic14φ: D14/D7C2 ⊆ Aut C2xC4224(C2xC4).34D14224,14
(C2xC4).35D14 = C14.D8φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).35D14224,15
(C2xC4).36D14 = C14.Q16φ: D14/D7C2 ⊆ Aut C2xC4224(C2xC4).36D14224,16
(C2xC4).37D14 = C28.53D4φ: D14/D7C2 ⊆ Aut C2xC41124(C2xC4).37D14224,28
(C2xC4).38D14 = D28:4C4φ: D14/D7C2 ⊆ Aut C2xC4564(C2xC4).38D14224,31
(C2xC4).39D14 = D4:Dic7φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).39D14224,38
(C2xC4).40D14 = Q8:Dic7φ: D14/D7C2 ⊆ Aut C2xC4224(C2xC4).40D14224,41
(C2xC4).41D14 = D4:2Dic7φ: D14/D7C2 ⊆ Aut C2xC4564(C2xC4).41D14224,43
(C2xC4).42D14 = C28:Q8φ: D14/D7C2 ⊆ Aut C2xC4224(C2xC4).42D14224,83
(C2xC4).43D14 = C28.3Q8φ: D14/D7C2 ⊆ Aut C2xC4224(C2xC4).43D14224,85
(C2xC4).44D14 = C4:C4:7D7φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).44D14224,87
(C2xC4).45D14 = D7xM4(2)φ: D14/D7C2 ⊆ Aut C2xC4564(C2xC4).45D14224,101
(C2xC4).46D14 = D28.C4φ: D14/D7C2 ⊆ Aut C2xC41124(C2xC4).46D14224,102
(C2xC4).47D14 = C2xD4:D7φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).47D14224,126
(C2xC4).48D14 = C2xD4.D7φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).48D14224,128
(C2xC4).49D14 = D4xDic7φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).49D14224,129
(C2xC4).50D14 = C28.17D4φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).50D14224,131
(C2xC4).51D14 = C28:2D4φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).51D14224,133
(C2xC4).52D14 = C28:D4φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).52D14224,135
(C2xC4).53D14 = C2xQ8:D7φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).53D14224,136
(C2xC4).54D14 = C2xC7:Q16φ: D14/D7C2 ⊆ Aut C2xC4224(C2xC4).54D14224,138
(C2xC4).55D14 = Dic7:Q8φ: D14/D7C2 ⊆ Aut C2xC4224(C2xC4).55D14224,139
(C2xC4).56D14 = Q8xDic7φ: D14/D7C2 ⊆ Aut C2xC4224(C2xC4).56D14224,140
(C2xC4).57D14 = C28.23D4φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).57D14224,142
(C2xC4).58D14 = Q8.Dic7φ: D14/D7C2 ⊆ Aut C2xC41124(C2xC4).58D14224,143
(C2xC4).59D14 = D4.8D14φ: D14/D7C2 ⊆ Aut C2xC41124(C2xC4).59D14224,145
(C2xC4).60D14 = C2xD4:2D7φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).60D14224,179
(C2xC4).61D14 = C2xQ8xD7φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).61D14224,181
(C2xC4).62D14 = C2xQ8:2D7φ: D14/D7C2 ⊆ Aut C2xC4112(C2xC4).62D14224,182
(C2xC4).63D14 = C42:2D7φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4).63D14224,71
(C2xC4).64D14 = C2xDic7:C4φ: D14/C14C2 ⊆ Aut C2xC4224(C2xC4).64D14224,118
(C2xC4).65D14 = C23.23D14φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4).65D14224,124
(C2xC4).66D14 = Dic14:C4φ: D14/C14C2 ⊆ Aut C2xC4562(C2xC4).66D14224,11
(C2xC4).67D14 = C28.44D4φ: D14/C14C2 ⊆ Aut C2xC4224(C2xC4).67D14224,22
(C2xC4).68D14 = C8:Dic7φ: D14/C14C2 ⊆ Aut C2xC4224(C2xC4).68D14224,23
(C2xC4).69D14 = C56:1C4φ: D14/C14C2 ⊆ Aut C2xC4224(C2xC4).69D14224,24
(C2xC4).70D14 = C56.C4φ: D14/C14C2 ⊆ Aut C2xC41122(C2xC4).70D14224,25
(C2xC4).71D14 = C2.D56φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4).71D14224,27
(C2xC4).72D14 = C4xDic14φ: D14/C14C2 ⊆ Aut C2xC4224(C2xC4).72D14224,63
(C2xC4).73D14 = C28:2Q8φ: D14/C14C2 ⊆ Aut C2xC4224(C2xC4).73D14224,64
(C2xC4).74D14 = C28.6Q8φ: D14/C14C2 ⊆ Aut C2xC4224(C2xC4).74D14224,65
(C2xC4).75D14 = C4xD28φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4).75D14224,68
(C2xC4).76D14 = C28:4D4φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4).76D14224,69
(C2xC4).77D14 = C4.D28φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4).77D14224,70
(C2xC4).78D14 = D28.2C4φ: D14/C14C2 ⊆ Aut C2xC41122(C2xC4).78D14224,96
(C2xC4).79D14 = C2xC56:C2φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4).79D14224,97
(C2xC4).80D14 = C2xD56φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4).80D14224,98
(C2xC4).81D14 = D56:7C2φ: D14/C14C2 ⊆ Aut C2xC41122(C2xC4).81D14224,99
(C2xC4).82D14 = C2xDic28φ: D14/C14C2 ⊆ Aut C2xC4224(C2xC4).82D14224,100
(C2xC4).83D14 = C28.48D4φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4).83D14224,119
(C2xC4).84D14 = C2xC4:Dic7φ: D14/C14C2 ⊆ Aut C2xC4224(C2xC4).84D14224,120
(C2xC4).85D14 = C28:7D4φ: D14/C14C2 ⊆ Aut C2xC4112(C2xC4).85D14224,125
(C2xC4).86D14 = C22xDic14φ: D14/C14C2 ⊆ Aut C2xC4224(C2xC4).86D14224,174
(C2xC4).87D14 = C4xC7:C8central extension (φ=1)224(C2xC4).87D14224,8
(C2xC4).88D14 = C42.D7central extension (φ=1)224(C2xC4).88D14224,9
(C2xC4).89D14 = C28:C8central extension (φ=1)224(C2xC4).89D14224,10
(C2xC4).90D14 = C8xDic7central extension (φ=1)224(C2xC4).90D14224,19
(C2xC4).91D14 = Dic7:C8central extension (φ=1)224(C2xC4).91D14224,20
(C2xC4).92D14 = C56:C4central extension (φ=1)224(C2xC4).92D14224,21
(C2xC4).93D14 = D14:C8central extension (φ=1)112(C2xC4).93D14224,26
(C2xC4).94D14 = C28.55D4central extension (φ=1)112(C2xC4).94D14224,36
(C2xC4).95D14 = D7xC42central extension (φ=1)112(C2xC4).95D14224,66
(C2xC4).96D14 = C42:D7central extension (φ=1)112(C2xC4).96D14224,67
(C2xC4).97D14 = D7xC2xC8central extension (φ=1)112(C2xC4).97D14224,94
(C2xC4).98D14 = C2xC8:D7central extension (φ=1)112(C2xC4).98D14224,95
(C2xC4).99D14 = C22xC7:C8central extension (φ=1)224(C2xC4).99D14224,115
(C2xC4).100D14 = C2xC4.Dic7central extension (φ=1)112(C2xC4).100D14224,116
(C2xC4).101D14 = C2xC4xDic7central extension (φ=1)224(C2xC4).101D14224,117
(C2xC4).102D14 = C23.21D14central extension (φ=1)112(C2xC4).102D14224,121
(C2xC4).103D14 = C4xC7:D4central extension (φ=1)112(C2xC4).103D14224,123

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