Extensions 1→N→G→Q→1 with N=C22xD7 and Q=C22

Direct product G=NxQ with N=C22xD7 and Q=C22
dρLabelID
D7xC24112D7xC2^4224,196

Semidirect products G=N:Q with N=C22xD7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C22xD7):1C22 = C22:D28φ: C22/C1C22 ⊆ Out C22xD756(C2^2xD7):1C2^2224,77
(C22xD7):2C22 = C24:D7φ: C22/C1C22 ⊆ Out C22xD756(C2^2xD7):2C2^2224,148
(C22xD7):3C22 = D4:6D14φ: C22/C1C22 ⊆ Out C22xD7564(C2^2xD7):3C2^2224,180
(C22xD7):4C22 = D4:8D14φ: C22/C1C22 ⊆ Out C22xD7564+(C2^2xD7):4C2^2224,185
(C22xD7):5C22 = C22xD28φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7):5C2^2224,176
(C22xD7):6C22 = C2xD4xD7φ: C22/C2C2 ⊆ Out C22xD756(C2^2xD7):6C2^2224,178
(C22xD7):7C22 = C22xC7:D4φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7):7C2^2224,188

Non-split extensions G=N.Q with N=C22xD7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C22xD7).1C22 = C28:4D4φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).1C2^2224,69
(C22xD7).2C22 = C4.D28φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).2C2^2224,70
(C22xD7).3C22 = C42:2D7φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).3C2^2224,71
(C22xD7).4C22 = Dic7.D4φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).4C2^2224,80
(C22xD7).5C22 = C22.D28φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).5C2^2224,81
(C22xD7).6C22 = D14.5D4φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).6C2^2224,89
(C22xD7).7C22 = C4:D28φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).7C2^2224,90
(C22xD7).8C22 = C4:C4:D7φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).8C2^2224,93
(C22xD7).9C22 = C23.23D14φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).9C2^2224,124
(C22xD7).10C22 = C28:7D4φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).10C2^2224,125
(C22xD7).11C22 = Dic7:D4φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).11C2^2224,134
(C22xD7).12C22 = C28:D4φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).12C2^2224,135
(C22xD7).13C22 = C28.23D4φ: C22/C1C22 ⊆ Out C22xD7112(C2^2xD7).13C2^2224,142
(C22xD7).14C22 = C42:D7φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).14C2^2224,67
(C22xD7).15C22 = C4xD28φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).15C2^2224,68
(C22xD7).16C22 = Dic7:4D4φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).16C2^2224,76
(C22xD7).17C22 = D14.D4φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).17C2^2224,78
(C22xD7).18C22 = D14:D4φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).18C2^2224,79
(C22xD7).19C22 = C4:C4:7D7φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).19C2^2224,87
(C22xD7).20C22 = D28:C4φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).20C2^2224,88
(C22xD7).21C22 = D14:Q8φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).21C2^2224,91
(C22xD7).22C22 = D14:2Q8φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).22C2^2224,92
(C22xD7).23C22 = C2xD14:C4φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).23C2^2224,122
(C22xD7).24C22 = C4xC7:D4φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).24C2^2224,123
(C22xD7).25C22 = C23:D14φ: C22/C2C2 ⊆ Out C22xD756(C2^2xD7).25C2^2224,132
(C22xD7).26C22 = C28:2D4φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).26C2^2224,133
(C22xD7).27C22 = D14:3Q8φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).27C2^2224,141
(C22xD7).28C22 = C2xC4oD28φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).28C2^2224,177
(C22xD7).29C22 = C2xD4:2D7φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).29C2^2224,179
(C22xD7).30C22 = C2xQ8:2D7φ: C22/C2C2 ⊆ Out C22xD7112(C2^2xD7).30C2^2224,182
(C22xD7).31C22 = D7xC4oD4φ: C22/C2C2 ⊆ Out C22xD7564(C2^2xD7).31C2^2224,184
(C22xD7).32C22 = D7xC42φ: trivial image112(C2^2xD7).32C2^2224,66
(C22xD7).33C22 = D7xC22:C4φ: trivial image56(C2^2xD7).33C2^2224,75
(C22xD7).34C22 = D7xC4:C4φ: trivial image112(C2^2xD7).34C2^2224,86
(C22xD7).35C22 = D7xC22xC4φ: trivial image112(C2^2xD7).35C2^2224,175
(C22xD7).36C22 = C2xQ8xD7φ: trivial image112(C2^2xD7).36C2^2224,181

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