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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=D14

Direct product G=N×Q with N=C2×C4 and Q=D14
dρLabelID
D7×C22×C4112D7xC2^2xC4224,175

Semidirect products G=N:Q with N=C2×C4 and Q=D14
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1D14 = C22⋊D28φ: D14/C7 → C22 ⊆ Aut C2×C456(C2xC4):1D14224,77
(C2×C4)⋊2D14 = C23⋊D14φ: D14/C7 → C22 ⊆ Aut C2×C456(C2xC4):2D14224,132
(C2×C4)⋊3D14 = D4⋊6D14φ: D14/C7 → C22 ⊆ Aut C2×C4564(C2xC4):3D14224,180
(C2×C4)⋊4D14 = D4⋊8D14φ: D14/C7 → C22 ⊆ Aut C2×C4564+(C2xC4):4D14224,185
(C2×C4)⋊5D14 = D7×C22⋊C4φ: D14/D7 → C2 ⊆ Aut C2×C456(C2xC4):5D14224,75
(C2×C4)⋊6D14 = C2×D4×D7φ: D14/D7 → C2 ⊆ Aut C2×C456(C2xC4):6D14224,178
(C2×C4)⋊7D14 = D7×C4○D4φ: D14/D7 → C2 ⊆ Aut C2×C4564(C2xC4):7D14224,184
(C2×C4)⋊8D14 = C2×D14⋊C4φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4):8D14224,122
(C2×C4)⋊9D14 = C22×D28φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4):9D14224,176
(C2×C4)⋊10D14 = C2×C4○D28φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4):10D14224,177

Non-split extensions G=N.Q with N=C2×C4 and Q=D14
extensionφ:Q→Aut NdρLabelID
(C2×C4).1D14 = C28.46D4φ: D14/C7 → C22 ⊆ Aut C2×C4564+(C2xC4).1D14224,29
(C2×C4).2D14 = C4.12D28φ: D14/C7 → C22 ⊆ Aut C2×C41124-(C2xC4).2D14224,30
(C2×C4).3D14 = C28.D4φ: D14/C7 → C22 ⊆ Aut C2×C4564(C2xC4).3D14224,39
(C2×C4).4D14 = C28.10D4φ: D14/C7 → C22 ⊆ Aut C2×C41124(C2xC4).4D14224,42
(C2×C4).5D14 = C22⋊Dic14φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).5D14224,73
(C2×C4).6D14 = D14.D4φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).6D14224,78
(C2×C4).7D14 = D14⋊D4φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).7D14224,79
(C2×C4).8D14 = Dic7.D4φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).8D14224,80
(C2×C4).9D14 = C22.D28φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).9D14224,81
(C2×C4).10D14 = Dic7.Q8φ: D14/C7 → C22 ⊆ Aut C2×C4224(C2xC4).10D14224,84
(C2×C4).11D14 = D14.5D4φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).11D14224,89
(C2×C4).12D14 = C4⋊D28φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).12D14224,90
(C2×C4).13D14 = D14⋊Q8φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).13D14224,91
(C2×C4).14D14 = D14⋊2Q8φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).14D14224,92
(C2×C4).15D14 = C8⋊D14φ: D14/C7 → C22 ⊆ Aut C2×C4564+(C2xC4).15D14224,103
(C2×C4).16D14 = C8.D14φ: D14/C7 → C22 ⊆ Aut C2×C41124-(C2xC4).16D14224,104
(C2×C4).17D14 = D4.D14φ: D14/C7 → C22 ⊆ Aut C2×C4564(C2xC4).17D14224,127
(C2×C4).18D14 = C23.18D14φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).18D14224,130
(C2×C4).19D14 = Dic7⋊D4φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).19D14224,134
(C2×C4).20D14 = C28.C23φ: D14/C7 → C22 ⊆ Aut C2×C41124(C2xC4).20D14224,137
(C2×C4).21D14 = D14⋊3Q8φ: D14/C7 → C22 ⊆ Aut C2×C4112(C2xC4).21D14224,141
(C2×C4).22D14 = D4⋊D14φ: D14/C7 → C22 ⊆ Aut C2×C4564+(C2xC4).22D14224,144
(C2×C4).23D14 = D4.9D14φ: D14/C7 → C22 ⊆ Aut C2×C41124-(C2xC4).23D14224,146
(C2×C4).24D14 = Q8.10D14φ: D14/C7 → C22 ⊆ Aut C2×C41124(C2xC4).24D14224,183
(C2×C4).25D14 = D4.10D14φ: D14/C7 → C22 ⊆ Aut C2×C41124-(C2xC4).25D14224,186
(C2×C4).26D14 = C23.11D14φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).26D14224,72
(C2×C4).27D14 = C23.D14φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).27D14224,74
(C2×C4).28D14 = Dic7⋊4D4φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).28D14224,76
(C2×C4).29D14 = Dic7⋊3Q8φ: D14/D7 → C2 ⊆ Aut C2×C4224(C2xC4).29D14224,82
(C2×C4).30D14 = D7×C4⋊C4φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).30D14224,86
(C2×C4).31D14 = D28⋊C4φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).31D14224,88
(C2×C4).32D14 = C4⋊C4⋊D7φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).32D14224,93
(C2×C4).33D14 = C28.Q8φ: D14/D7 → C2 ⊆ Aut C2×C4224(C2xC4).33D14224,13
(C2×C4).34D14 = C4.Dic14φ: D14/D7 → C2 ⊆ Aut C2×C4224(C2xC4).34D14224,14
(C2×C4).35D14 = C14.D8φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).35D14224,15
(C2×C4).36D14 = C14.Q16φ: D14/D7 → C2 ⊆ Aut C2×C4224(C2xC4).36D14224,16
(C2×C4).37D14 = C28.53D4φ: D14/D7 → C2 ⊆ Aut C2×C41124(C2xC4).37D14224,28
(C2×C4).38D14 = D28⋊4C4φ: D14/D7 → C2 ⊆ Aut C2×C4564(C2xC4).38D14224,31
(C2×C4).39D14 = D4⋊Dic7φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).39D14224,38
(C2×C4).40D14 = Q8⋊Dic7φ: D14/D7 → C2 ⊆ Aut C2×C4224(C2xC4).40D14224,41
(C2×C4).41D14 = D4⋊2Dic7φ: D14/D7 → C2 ⊆ Aut C2×C4564(C2xC4).41D14224,43
(C2×C4).42D14 = C28⋊Q8φ: D14/D7 → C2 ⊆ Aut C2×C4224(C2xC4).42D14224,83
(C2×C4).43D14 = C28.3Q8φ: D14/D7 → C2 ⊆ Aut C2×C4224(C2xC4).43D14224,85
(C2×C4).44D14 = C4⋊C4⋊7D7φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).44D14224,87
(C2×C4).45D14 = D7×M4(2)φ: D14/D7 → C2 ⊆ Aut C2×C4564(C2xC4).45D14224,101
(C2×C4).46D14 = D28.C4φ: D14/D7 → C2 ⊆ Aut C2×C41124(C2xC4).46D14224,102
(C2×C4).47D14 = C2×D4⋊D7φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).47D14224,126
(C2×C4).48D14 = C2×D4.D7φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).48D14224,128
(C2×C4).49D14 = D4×Dic7φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).49D14224,129
(C2×C4).50D14 = C28.17D4φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).50D14224,131
(C2×C4).51D14 = C28⋊2D4φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).51D14224,133
(C2×C4).52D14 = C28⋊D4φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).52D14224,135
(C2×C4).53D14 = C2×Q8⋊D7φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).53D14224,136
(C2×C4).54D14 = C2×C7⋊Q16φ: D14/D7 → C2 ⊆ Aut C2×C4224(C2xC4).54D14224,138
(C2×C4).55D14 = Dic7⋊Q8φ: D14/D7 → C2 ⊆ Aut C2×C4224(C2xC4).55D14224,139
(C2×C4).56D14 = Q8×Dic7φ: D14/D7 → C2 ⊆ Aut C2×C4224(C2xC4).56D14224,140
(C2×C4).57D14 = C28.23D4φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).57D14224,142
(C2×C4).58D14 = Q8.Dic7φ: D14/D7 → C2 ⊆ Aut C2×C41124(C2xC4).58D14224,143
(C2×C4).59D14 = D4.8D14φ: D14/D7 → C2 ⊆ Aut C2×C41124(C2xC4).59D14224,145
(C2×C4).60D14 = C2×D4⋊2D7φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).60D14224,179
(C2×C4).61D14 = C2×Q8×D7φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).61D14224,181
(C2×C4).62D14 = C2×Q8⋊2D7φ: D14/D7 → C2 ⊆ Aut C2×C4112(C2xC4).62D14224,182
(C2×C4).63D14 = C42⋊2D7φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4).63D14224,71
(C2×C4).64D14 = C2×Dic7⋊C4φ: D14/C14 → C2 ⊆ Aut C2×C4224(C2xC4).64D14224,118
(C2×C4).65D14 = C23.23D14φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4).65D14224,124
(C2×C4).66D14 = Dic14⋊C4φ: D14/C14 → C2 ⊆ Aut C2×C4562(C2xC4).66D14224,11
(C2×C4).67D14 = C28.44D4φ: D14/C14 → C2 ⊆ Aut C2×C4224(C2xC4).67D14224,22
(C2×C4).68D14 = C8⋊Dic7φ: D14/C14 → C2 ⊆ Aut C2×C4224(C2xC4).68D14224,23
(C2×C4).69D14 = C56⋊1C4φ: D14/C14 → C2 ⊆ Aut C2×C4224(C2xC4).69D14224,24
(C2×C4).70D14 = C56.C4φ: D14/C14 → C2 ⊆ Aut C2×C41122(C2xC4).70D14224,25
(C2×C4).71D14 = C2.D56φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4).71D14224,27
(C2×C4).72D14 = C4×Dic14φ: D14/C14 → C2 ⊆ Aut C2×C4224(C2xC4).72D14224,63
(C2×C4).73D14 = C28⋊2Q8φ: D14/C14 → C2 ⊆ Aut C2×C4224(C2xC4).73D14224,64
(C2×C4).74D14 = C28.6Q8φ: D14/C14 → C2 ⊆ Aut C2×C4224(C2xC4).74D14224,65
(C2×C4).75D14 = C4×D28φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4).75D14224,68
(C2×C4).76D14 = C28⋊4D4φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4).76D14224,69
(C2×C4).77D14 = C4.D28φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4).77D14224,70
(C2×C4).78D14 = D28.2C4φ: D14/C14 → C2 ⊆ Aut C2×C41122(C2xC4).78D14224,96
(C2×C4).79D14 = C2×C56⋊C2φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4).79D14224,97
(C2×C4).80D14 = C2×D56φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4).80D14224,98
(C2×C4).81D14 = D56⋊7C2φ: D14/C14 → C2 ⊆ Aut C2×C41122(C2xC4).81D14224,99
(C2×C4).82D14 = C2×Dic28φ: D14/C14 → C2 ⊆ Aut C2×C4224(C2xC4).82D14224,100
(C2×C4).83D14 = C28.48D4φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4).83D14224,119
(C2×C4).84D14 = C2×C4⋊Dic7φ: D14/C14 → C2 ⊆ Aut C2×C4224(C2xC4).84D14224,120
(C2×C4).85D14 = C28⋊7D4φ: D14/C14 → C2 ⊆ Aut C2×C4112(C2xC4).85D14224,125
(C2×C4).86D14 = C22×Dic14φ: D14/C14 → C2 ⊆ Aut C2×C4224(C2xC4).86D14224,174
(C2×C4).87D14 = C4×C7⋊C8central extension (φ=1)224(C2xC4).87D14224,8
(C2×C4).88D14 = C42.D7central extension (φ=1)224(C2xC4).88D14224,9
(C2×C4).89D14 = C28⋊C8central extension (φ=1)224(C2xC4).89D14224,10
(C2×C4).90D14 = C8×Dic7central extension (φ=1)224(C2xC4).90D14224,19
(C2×C4).91D14 = Dic7⋊C8central extension (φ=1)224(C2xC4).91D14224,20
(C2×C4).92D14 = C56⋊C4central extension (φ=1)224(C2xC4).92D14224,21
(C2×C4).93D14 = D14⋊C8central extension (φ=1)112(C2xC4).93D14224,26
(C2×C4).94D14 = C28.55D4central extension (φ=1)112(C2xC4).94D14224,36
(C2×C4).95D14 = D7×C42central extension (φ=1)112(C2xC4).95D14224,66
(C2×C4).96D14 = C42⋊D7central extension (φ=1)112(C2xC4).96D14224,67
(C2×C4).97D14 = D7×C2×C8central extension (φ=1)112(C2xC4).97D14224,94
(C2×C4).98D14 = C2×C8⋊D7central extension (φ=1)112(C2xC4).98D14224,95
(C2×C4).99D14 = C22×C7⋊C8central extension (φ=1)224(C2xC4).99D14224,115
(C2×C4).100D14 = C2×C4.Dic7central extension (φ=1)112(C2xC4).100D14224,116
(C2×C4).101D14 = C2×C4×Dic7central extension (φ=1)224(C2xC4).101D14224,117
(C2×C4).102D14 = C23.21D14central extension (φ=1)112(C2xC4).102D14224,121
(C2×C4).103D14 = C4×C7⋊D4central extension (φ=1)112(C2xC4).103D14224,123

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