Extensions 1→N→G→Q→1 with N=D4xC22 and Q=C2

Direct product G=NxQ with N=D4xC22 and Q=C2
dρLabelID
D4xC2xC22176D4xC2xC22352,189

Semidirect products G=N:Q with N=D4xC22 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xC22):1C2 = C2xD4:D11φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22):1C2352,126
(D4xC22):2C2 = D44:6C22φ: C2/C1C2 ⊆ Out D4xC22884(D4xC22):2C2352,127
(D4xC22):3C2 = C44:2D4φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22):3C2352,133
(D4xC22):4C2 = C44:D4φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22):4C2352,135
(D4xC22):5C2 = C2xD4xD11φ: C2/C1C2 ⊆ Out D4xC2288(D4xC22):5C2352,177
(D4xC22):6C2 = C2xD4:2D11φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22):6C2352,178
(D4xC22):7C2 = D4:6D22φ: C2/C1C2 ⊆ Out D4xC22884(D4xC22):7C2352,179
(D4xC22):8C2 = C23:D22φ: C2/C1C2 ⊆ Out D4xC2288(D4xC22):8C2352,132
(D4xC22):9C2 = Dic11:D4φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22):9C2352,134
(D4xC22):10C2 = C11xC22wrC2φ: C2/C1C2 ⊆ Out D4xC2288(D4xC22):10C2352,155
(D4xC22):11C2 = C11xC4:D4φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22):11C2352,156
(D4xC22):12C2 = C11xC4:1D4φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22):12C2352,162
(D4xC22):13C2 = D8xC22φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22):13C2352,167
(D4xC22):14C2 = C11xC8:C22φ: C2/C1C2 ⊆ Out D4xC22884(D4xC22):14C2352,171
(D4xC22):15C2 = C11x2+ 1+4φ: C2/C1C2 ⊆ Out D4xC22884(D4xC22):15C2352,192
(D4xC22):16C2 = C4oD4xC22φ: trivial image176(D4xC22):16C2352,191

Non-split extensions G=N.Q with N=D4xC22 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xC22).1C2 = D4:Dic11φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22).1C2352,38
(D4xC22).2C2 = C44.D4φ: C2/C1C2 ⊆ Out D4xC22884(D4xC22).2C2352,39
(D4xC22).3C2 = C2xD4.D11φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22).3C2352,128
(D4xC22).4C2 = D4xDic11φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22).4C2352,129
(D4xC22).5C2 = C44.17D4φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22).5C2352,131
(D4xC22).6C2 = C23:Dic11φ: C2/C1C2 ⊆ Out D4xC22884(D4xC22).6C2352,40
(D4xC22).7C2 = C11xC23:C4φ: C2/C1C2 ⊆ Out D4xC22884(D4xC22).7C2352,48
(D4xC22).8C2 = C11xC4.D4φ: C2/C1C2 ⊆ Out D4xC22884(D4xC22).8C2352,49
(D4xC22).9C2 = C11xD4:C4φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22).9C2352,51
(D4xC22).10C2 = C23.18D22φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22).10C2352,130
(D4xC22).11C2 = C11xC22.D4φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22).11C2352,158
(D4xC22).12C2 = C11xC4.4D4φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22).12C2352,159
(D4xC22).13C2 = SD16xC22φ: C2/C1C2 ⊆ Out D4xC22176(D4xC22).13C2352,168
(D4xC22).14C2 = D4xC44φ: trivial image176(D4xC22).14C2352,153

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