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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=C23

Direct product G=N×Q with N=C2×C14 and Q=C23
dρLabelID
C24×C14224C2^4xC14224,197

Semidirect products G=N:Q with N=C2×C14 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C14)⋊C23 = C2×D4×D7φ: C23/C2 → C22 ⊆ Aut C2×C1456(C2xC14):C2^3224,178
(C2×C14)⋊2C23 = D4×C2×C14φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14):2C2^3224,190
(C2×C14)⋊3C23 = C22×C7⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14):3C2^3224,188
(C2×C14)⋊4C23 = D7×C24φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14):4C2^3224,196

Non-split extensions G=N.Q with N=C2×C14 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C14).1C23 = C2×D4⋊2D7φ: C23/C2 → C22 ⊆ Aut C2×C14112(C2xC14).1C2^3224,179
(C2×C14).2C23 = D4⋊6D14φ: C23/C2 → C22 ⊆ Aut C2×C14564(C2xC14).2C2^3224,180
(C2×C14).3C23 = D7×C4○D4φ: C23/C2 → C22 ⊆ Aut C2×C14564(C2xC14).3C2^3224,184
(C2×C14).4C23 = D4⋊8D14φ: C23/C2 → C22 ⊆ Aut C2×C14564+(C2xC14).4C2^3224,185
(C2×C14).5C23 = D4.10D14φ: C23/C2 → C22 ⊆ Aut C2×C141124-(C2xC14).5C2^3224,186
(C2×C14).6C23 = C14×C4○D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).6C2^3224,192
(C2×C14).7C23 = C7×2+ 1+4φ: C23/C22 → C2 ⊆ Aut C2×C14564(C2xC14).7C2^3224,193
(C2×C14).8C23 = C7×2- 1+4φ: C23/C22 → C2 ⊆ Aut C2×C141124(C2xC14).8C2^3224,194
(C2×C14).9C23 = C4×Dic14φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).9C2^3224,63
(C2×C14).10C23 = C28⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).10C2^3224,64
(C2×C14).11C23 = C28.6Q8φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).11C2^3224,65
(C2×C14).12C23 = D7×C42φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).12C2^3224,66
(C2×C14).13C23 = C42⋊D7φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).13C2^3224,67
(C2×C14).14C23 = C4×D28φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).14C2^3224,68
(C2×C14).15C23 = C28⋊4D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).15C2^3224,69
(C2×C14).16C23 = C4.D28φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).16C2^3224,70
(C2×C14).17C23 = C42⋊2D7φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).17C2^3224,71
(C2×C14).18C23 = C23.11D14φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).18C2^3224,72
(C2×C14).19C23 = C22⋊Dic14φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).19C2^3224,73
(C2×C14).20C23 = C23.D14φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).20C2^3224,74
(C2×C14).21C23 = D7×C22⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C1456(C2xC14).21C2^3224,75
(C2×C14).22C23 = Dic7⋊4D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).22C2^3224,76
(C2×C14).23C23 = C22⋊D28φ: C23/C22 → C2 ⊆ Aut C2×C1456(C2xC14).23C2^3224,77
(C2×C14).24C23 = D14.D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).24C2^3224,78
(C2×C14).25C23 = D14⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).25C2^3224,79
(C2×C14).26C23 = Dic7.D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).26C2^3224,80
(C2×C14).27C23 = C22.D28φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).27C2^3224,81
(C2×C14).28C23 = Dic7⋊3Q8φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).28C2^3224,82
(C2×C14).29C23 = C28⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).29C2^3224,83
(C2×C14).30C23 = Dic7.Q8φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).30C2^3224,84
(C2×C14).31C23 = C28.3Q8φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).31C2^3224,85
(C2×C14).32C23 = D7×C4⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).32C2^3224,86
(C2×C14).33C23 = C4⋊C4⋊7D7φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).33C2^3224,87
(C2×C14).34C23 = D28⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).34C2^3224,88
(C2×C14).35C23 = D14.5D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).35C2^3224,89
(C2×C14).36C23 = C4⋊D28φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).36C2^3224,90
(C2×C14).37C23 = D14⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).37C2^3224,91
(C2×C14).38C23 = D14⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).38C2^3224,92
(C2×C14).39C23 = C4⋊C4⋊D7φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).39C2^3224,93
(C2×C14).40C23 = C2×C4×Dic7φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).40C2^3224,117
(C2×C14).41C23 = C2×Dic7⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).41C2^3224,118
(C2×C14).42C23 = C28.48D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).42C2^3224,119
(C2×C14).43C23 = C2×C4⋊Dic7φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).43C2^3224,120
(C2×C14).44C23 = C23.21D14φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).44C2^3224,121
(C2×C14).45C23 = C2×D14⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).45C2^3224,122
(C2×C14).46C23 = C4×C7⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).46C2^3224,123
(C2×C14).47C23 = C23.23D14φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).47C2^3224,124
(C2×C14).48C23 = C28⋊7D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).48C2^3224,125
(C2×C14).49C23 = D4×Dic7φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).49C2^3224,129
(C2×C14).50C23 = C23.18D14φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).50C2^3224,130
(C2×C14).51C23 = C28.17D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).51C2^3224,131
(C2×C14).52C23 = C23⋊D14φ: C23/C22 → C2 ⊆ Aut C2×C1456(C2xC14).52C2^3224,132
(C2×C14).53C23 = C28⋊2D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).53C2^3224,133
(C2×C14).54C23 = Dic7⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).54C2^3224,134
(C2×C14).55C23 = C28⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).55C2^3224,135
(C2×C14).56C23 = Dic7⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).56C2^3224,139
(C2×C14).57C23 = Q8×Dic7φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).57C2^3224,140
(C2×C14).58C23 = D14⋊3Q8φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).58C2^3224,141
(C2×C14).59C23 = C28.23D4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).59C2^3224,142
(C2×C14).60C23 = C2×C23.D7φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).60C2^3224,147
(C2×C14).61C23 = C24⋊D7φ: C23/C22 → C2 ⊆ Aut C2×C1456(C2xC14).61C2^3224,148
(C2×C14).62C23 = C22×Dic14φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).62C2^3224,174
(C2×C14).63C23 = D7×C22×C4φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).63C2^3224,175
(C2×C14).64C23 = C22×D28φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).64C2^3224,176
(C2×C14).65C23 = C2×C4○D28φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).65C2^3224,177
(C2×C14).66C23 = C2×Q8×D7φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).66C2^3224,181
(C2×C14).67C23 = C2×Q8⋊2D7φ: C23/C22 → C2 ⊆ Aut C2×C14112(C2xC14).67C2^3224,182
(C2×C14).68C23 = Q8.10D14φ: C23/C22 → C2 ⊆ Aut C2×C141124(C2xC14).68C2^3224,183
(C2×C14).69C23 = C23×Dic7φ: C23/C22 → C2 ⊆ Aut C2×C14224(C2xC14).69C2^3224,187
(C2×C14).70C23 = C14×C22⋊C4central extension (φ=1)112(C2xC14).70C2^3224,150
(C2×C14).71C23 = C14×C4⋊C4central extension (φ=1)224(C2xC14).71C2^3224,151
(C2×C14).72C23 = C7×C42⋊C2central extension (φ=1)112(C2xC14).72C2^3224,152
(C2×C14).73C23 = D4×C28central extension (φ=1)112(C2xC14).73C2^3224,153
(C2×C14).74C23 = Q8×C28central extension (φ=1)224(C2xC14).74C2^3224,154
(C2×C14).75C23 = C7×C22≀C2central extension (φ=1)56(C2xC14).75C2^3224,155
(C2×C14).76C23 = C7×C4⋊D4central extension (φ=1)112(C2xC14).76C2^3224,156
(C2×C14).77C23 = C7×C22⋊Q8central extension (φ=1)112(C2xC14).77C2^3224,157
(C2×C14).78C23 = C7×C22.D4central extension (φ=1)112(C2xC14).78C2^3224,158
(C2×C14).79C23 = C7×C4.4D4central extension (φ=1)112(C2xC14).79C2^3224,159
(C2×C14).80C23 = C7×C42.C2central extension (φ=1)224(C2xC14).80C2^3224,160
(C2×C14).81C23 = C7×C42⋊2C2central extension (φ=1)112(C2xC14).81C2^3224,161
(C2×C14).82C23 = C7×C4⋊1D4central extension (φ=1)112(C2xC14).82C2^3224,162
(C2×C14).83C23 = C7×C4⋊Q8central extension (φ=1)224(C2xC14).83C2^3224,163
(C2×C14).84C23 = Q8×C2×C14central extension (φ=1)224(C2xC14).84C2^3224,191

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