Extensions 1→N→G→Q→1 with N=C4xQ8 and Q=C2

Direct product G=NxQ with N=C4xQ8 and Q=C2
dρLabelID
C2xC4xQ864C2xC4xQ864,197

Semidirect products G=N:Q with N=C4xQ8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xQ8):1C2 = C4xSD16φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):1C264,119
(C4xQ8):2C2 = SD16:C4φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):2C264,121
(C4xQ8):3C2 = C4:SD16φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):3C264,141
(C4xQ8):4C2 = Q8.D4φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):4C264,145
(C4xQ8):5C2 = C23.32C23φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):5C264,200
(C4xQ8):6C2 = C23.33C23φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):6C264,201
(C4xQ8):7C2 = C23.36C23φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):7C264,210
(C4xQ8):8C2 = C23.37C23φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):8C264,214
(C4xQ8):9C2 = C22.35C24φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):9C264,222
(C4xQ8):10C2 = C22.36C24φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):10C264,223
(C4xQ8):11C2 = Q8:5D4φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):11C264,229
(C4xQ8):12C2 = D4xQ8φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):12C264,230
(C4xQ8):13C2 = Q8:6D4φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):13C264,231
(C4xQ8):14C2 = C22.46C24φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):14C264,233
(C4xQ8):15C2 = D4:3Q8φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):15C264,235
(C4xQ8):16C2 = C22.50C24φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):16C264,237
(C4xQ8):17C2 = C22.53C24φ: C2/C1C2 ⊆ Out C4xQ832(C4xQ8):17C264,240
(C4xQ8):18C2 = C4xC4oD4φ: trivial image32(C4xQ8):18C264,198

Non-split extensions G=N.Q with N=C4xQ8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xQ8).1C2 = Q8:C8φ: C2/C1C2 ⊆ Out C4xQ864(C4xQ8).1C264,7
(C4xQ8).2C2 = C4xQ16φ: C2/C1C2 ⊆ Out C4xQ864(C4xQ8).2C264,120
(C4xQ8).3C2 = Q16:C4φ: C2/C1C2 ⊆ Out C4xQ864(C4xQ8).3C264,122
(C4xQ8).4C2 = C8:4Q8φ: C2/C1C2 ⊆ Out C4xQ864(C4xQ8).4C264,127
(C4xQ8).5C2 = C4:2Q16φ: C2/C1C2 ⊆ Out C4xQ864(C4xQ8).5C264,143
(C4xQ8).6C2 = Q8:Q8φ: C2/C1C2 ⊆ Out C4xQ864(C4xQ8).6C264,156
(C4xQ8).7C2 = C4.Q16φ: C2/C1C2 ⊆ Out C4xQ864(C4xQ8).7C264,158
(C4xQ8).8C2 = Q8.Q8φ: C2/C1C2 ⊆ Out C4xQ864(C4xQ8).8C264,160
(C4xQ8).9C2 = Q8:3Q8φ: C2/C1C2 ⊆ Out C4xQ864(C4xQ8).9C264,238
(C4xQ8).10C2 = Q82φ: C2/C1C2 ⊆ Out C4xQ864(C4xQ8).10C264,239
(C4xQ8).11C2 = C8xQ8φ: trivial image64(C4xQ8).11C264,126

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