Extensions 1→N→G→Q→1 with N=C2xC84 and Q=C2

Direct product G=NxQ with N=C2xC84 and Q=C2
dρLabelID
C22xC84336C2^2xC84336,204

Semidirect products G=N:Q with N=C2xC84 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC84):1C2 = C3xD14:C4φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):1C2336,68
(C2xC84):2C2 = C7xD6:C4φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):2C2336,84
(C2xC84):3C2 = C2.D84φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):3C2336,100
(C2xC84):4C2 = C22:C4xC21φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):4C2336,107
(C2xC84):5C2 = C2xD84φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):5C2336,196
(C2xC84):6C2 = D84:11C2φ: C2/C1C2 ⊆ Aut C2xC841682(C2xC84):6C2336,197
(C2xC84):7C2 = C2xC4xD21φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):7C2336,195
(C2xC84):8C2 = C6xD28φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):8C2336,176
(C2xC84):9C2 = C3xC4oD28φ: C2/C1C2 ⊆ Aut C2xC841682(C2xC84):9C2336,177
(C2xC84):10C2 = D7xC2xC12φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):10C2336,175
(C2xC84):11C2 = C14xD12φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):11C2336,186
(C2xC84):12C2 = C7xC4oD12φ: C2/C1C2 ⊆ Aut C2xC841682(C2xC84):12C2336,187
(C2xC84):13C2 = S3xC2xC28φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):13C2336,185
(C2xC84):14C2 = D4xC42φ: C2/C1C2 ⊆ Aut C2xC84168(C2xC84):14C2336,205
(C2xC84):15C2 = C4oD4xC21φ: C2/C1C2 ⊆ Aut C2xC841682(C2xC84):15C2336,207

Non-split extensions G=N.Q with N=C2xC84 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC84).1C2 = C3xDic7:C4φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).1C2336,66
(C2xC84).2C2 = C7xDic3:C4φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).2C2336,82
(C2xC84).3C2 = C42.4Q8φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).3C2336,98
(C2xC84).4C2 = C4:C4xC21φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).4C2336,108
(C2xC84).5C2 = C84:C4φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).5C2336,99
(C2xC84).6C2 = C2xDic42φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).6C2336,194
(C2xC84).7C2 = C84.C4φ: C2/C1C2 ⊆ Aut C2xC841682(C2xC84).7C2336,96
(C2xC84).8C2 = C2xC21:C8φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).8C2336,95
(C2xC84).9C2 = C4xDic21φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).9C2336,97
(C2xC84).10C2 = C3xC4:Dic7φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).10C2336,67
(C2xC84).11C2 = C6xDic14φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).11C2336,174
(C2xC84).12C2 = C3xC4.Dic7φ: C2/C1C2 ⊆ Aut C2xC841682(C2xC84).12C2336,64
(C2xC84).13C2 = C6xC7:C8φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).13C2336,63
(C2xC84).14C2 = C12xDic7φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).14C2336,65
(C2xC84).15C2 = C7xC4:Dic3φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).15C2336,83
(C2xC84).16C2 = C14xDic6φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).16C2336,184
(C2xC84).17C2 = C7xC4.Dic3φ: C2/C1C2 ⊆ Aut C2xC841682(C2xC84).17C2336,80
(C2xC84).18C2 = C14xC3:C8φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).18C2336,79
(C2xC84).19C2 = Dic3xC28φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).19C2336,81
(C2xC84).20C2 = M4(2)xC21φ: C2/C1C2 ⊆ Aut C2xC841682(C2xC84).20C2336,110
(C2xC84).21C2 = Q8xC42φ: C2/C1C2 ⊆ Aut C2xC84336(C2xC84).21C2336,206

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