# Extensions 1→N→G→Q→1 with N=C2×Dic7 and Q=C22

Direct product G=N×Q with N=C2×Dic7 and Q=C22
dρLabelID
C23×Dic7224C2^3xDic7224,187

Semidirect products G=N:Q with N=C2×Dic7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×Dic7)⋊1C22 = C22⋊D28φ: C22/C1C22 ⊆ Out C2×Dic756(C2xDic7):1C2^2224,77
(C2×Dic7)⋊2C22 = C23⋊D14φ: C22/C1C22 ⊆ Out C2×Dic756(C2xDic7):2C2^2224,132
(C2×Dic7)⋊3C22 = C24⋊D7φ: C22/C1C22 ⊆ Out C2×Dic756(C2xDic7):3C2^2224,148
(C2×Dic7)⋊4C22 = D46D14φ: C22/C1C22 ⊆ Out C2×Dic7564(C2xDic7):4C2^2224,180
(C2×Dic7)⋊5C22 = D7×C22⋊C4φ: C22/C2C2 ⊆ Out C2×Dic756(C2xDic7):5C2^2224,75
(C2×Dic7)⋊6C22 = C2×D14⋊C4φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7):6C2^2224,122
(C2×Dic7)⋊7C22 = C2×C23.D7φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7):7C2^2224,147
(C2×Dic7)⋊8C22 = C2×D4×D7φ: C22/C2C2 ⊆ Out C2×Dic756(C2xDic7):8C2^2224,178
(C2×Dic7)⋊9C22 = C2×D42D7φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7):9C2^2224,179
(C2×Dic7)⋊10C22 = D7×C4○D4φ: C22/C2C2 ⊆ Out C2×Dic7564(C2xDic7):10C2^2224,184
(C2×Dic7)⋊11C22 = C22×C7⋊D4φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7):11C2^2224,188
(C2×Dic7)⋊12C22 = D7×C22×C4φ: trivial image112(C2xDic7):12C2^2224,175

Non-split extensions G=N.Q with N=C2×Dic7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×Dic7).1C22 = C282Q8φ: C22/C1C22 ⊆ Out C2×Dic7224(C2xDic7).1C2^2224,64
(C2×Dic7).2C22 = C28.6Q8φ: C22/C1C22 ⊆ Out C2×Dic7224(C2xDic7).2C2^2224,65
(C2×Dic7).3C22 = C4.D28φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).3C2^2224,70
(C2×Dic7).4C22 = C422D7φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).4C2^2224,71
(C2×Dic7).5C22 = C22⋊Dic14φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).5C2^2224,73
(C2×Dic7).6C22 = D14.D4φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).6C2^2224,78
(C2×Dic7).7C22 = D14⋊D4φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).7C2^2224,79
(C2×Dic7).8C22 = C28⋊Q8φ: C22/C1C22 ⊆ Out C2×Dic7224(C2xDic7).8C2^2224,83
(C2×Dic7).9C22 = Dic7.Q8φ: C22/C1C22 ⊆ Out C2×Dic7224(C2xDic7).9C2^2224,84
(C2×Dic7).10C22 = C28.3Q8φ: C22/C1C22 ⊆ Out C2×Dic7224(C2xDic7).10C2^2224,85
(C2×Dic7).11C22 = D14.5D4φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).11C2^2224,89
(C2×Dic7).12C22 = D14⋊Q8φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).12C2^2224,91
(C2×Dic7).13C22 = D142Q8φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).13C2^2224,92
(C2×Dic7).14C22 = C28.48D4φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).14C2^2224,119
(C2×Dic7).15C22 = C23.23D14φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).15C2^2224,124
(C2×Dic7).16C22 = C287D4φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).16C2^2224,125
(C2×Dic7).17C22 = C23.18D14φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).17C2^2224,130
(C2×Dic7).18C22 = C28.17D4φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).18C2^2224,131
(C2×Dic7).19C22 = C282D4φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).19C2^2224,133
(C2×Dic7).20C22 = Dic7⋊Q8φ: C22/C1C22 ⊆ Out C2×Dic7224(C2xDic7).20C2^2224,139
(C2×Dic7).21C22 = D143Q8φ: C22/C1C22 ⊆ Out C2×Dic7112(C2xDic7).21C2^2224,141
(C2×Dic7).22C22 = D4.10D14φ: C22/C1C22 ⊆ Out C2×Dic71124-(C2xDic7).22C2^2224,186
(C2×Dic7).23C22 = C4×Dic14φ: C22/C2C2 ⊆ Out C2×Dic7224(C2xDic7).23C2^2224,63
(C2×Dic7).24C22 = C42⋊D7φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).24C2^2224,67
(C2×Dic7).25C22 = C4×D28φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).25C2^2224,68
(C2×Dic7).26C22 = C23.D14φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).26C2^2224,74
(C2×Dic7).27C22 = Dic7.D4φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).27C2^2224,80
(C2×Dic7).28C22 = C22.D28φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).28C2^2224,81
(C2×Dic7).29C22 = D7×C4⋊C4φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).29C2^2224,86
(C2×Dic7).30C22 = C4⋊C47D7φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).30C2^2224,87
(C2×Dic7).31C22 = C4⋊D28φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).31C2^2224,90
(C2×Dic7).32C22 = C4⋊C4⋊D7φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).32C2^2224,93
(C2×Dic7).33C22 = C2×Dic7⋊C4φ: C22/C2C2 ⊆ Out C2×Dic7224(C2xDic7).33C2^2224,118
(C2×Dic7).34C22 = C2×C4⋊Dic7φ: C22/C2C2 ⊆ Out C2×Dic7224(C2xDic7).34C2^2224,120
(C2×Dic7).35C22 = C23.21D14φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).35C2^2224,121
(C2×Dic7).36C22 = C4×C7⋊D4φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).36C2^2224,123
(C2×Dic7).37C22 = D4×Dic7φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).37C2^2224,129
(C2×Dic7).38C22 = Dic7⋊D4φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).38C2^2224,134
(C2×Dic7).39C22 = C28⋊D4φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).39C2^2224,135
(C2×Dic7).40C22 = Q8×Dic7φ: C22/C2C2 ⊆ Out C2×Dic7224(C2xDic7).40C2^2224,140
(C2×Dic7).41C22 = C28.23D4φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).41C2^2224,142
(C2×Dic7).42C22 = C22×Dic14φ: C22/C2C2 ⊆ Out C2×Dic7224(C2xDic7).42C2^2224,174
(C2×Dic7).43C22 = C2×C4○D28φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).43C2^2224,177
(C2×Dic7).44C22 = C2×Q8×D7φ: C22/C2C2 ⊆ Out C2×Dic7112(C2xDic7).44C2^2224,181
(C2×Dic7).45C22 = D7×C42φ: trivial image112(C2xDic7).45C2^2224,66
(C2×Dic7).46C22 = C23.11D14φ: trivial image112(C2xDic7).46C2^2224,72
(C2×Dic7).47C22 = Dic74D4φ: trivial image112(C2xDic7).47C2^2224,76
(C2×Dic7).48C22 = Dic73Q8φ: trivial image224(C2xDic7).48C2^2224,82
(C2×Dic7).49C22 = D28⋊C4φ: trivial image112(C2xDic7).49C2^2224,88
(C2×Dic7).50C22 = C2×C4×Dic7φ: trivial image224(C2xDic7).50C2^2224,117
(C2×Dic7).51C22 = C2×Q82D7φ: trivial image112(C2xDic7).51C2^2224,182

׿
×
𝔽