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Extensions 1→N→G→Q→1 with N=D4xQ8 and Q=C2

Direct product G=NxQ with N=D4xQ8 and Q=C2
dρLabelID
C2xD4xQ864C2xD4xQ8128,2198

Semidirect products G=N:Q with N=D4xQ8 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xQ8):1C2 = Q8:3D8φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):1C2128,359
(D4xQ8):2C2 = SD16:6D4φ: C2/C1 → C2 ⊆ Out D4xQ832(D4xQ8):2C2128,1998
(D4xQ8):3C2 = Q16:9D4φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):3C2128,2002
(D4xQ8):4C2 = SD16:3D4φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):4C2128,2008
(D4xQ8):5C2 = Q16:5D4φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):5C2128,2010
(D4xQ8):6C2 = D4xSD16φ: C2/C1 → C2 ⊆ Out D4xQ832(D4xQ8):6C2128,2013
(D4xQ8):7C2 = D4:8SD16φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):7C2128,2030
(D4xQ8):8C2 = C42.55C23φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):8C2128,2052
(D4xQ8):9C2 = C42.478C23φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):9C2128,2061
(D4xQ8):10C2 = Q8:4D8φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):10C2128,2090
(D4xQ8):11C2 = C42.508C23φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):11C2128,2099
(D4xQ8):12C2 = C42.514C23φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):12C2128,2105
(D4xQ8):13C2 = Q8xD8φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):13C2128,2110
(D4xQ8):14C2 = D8:4Q8φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):14C2128,2116
(D4xQ8):15C2 = C22.75C25φ: C2/C1 → C2 ⊆ Out D4xQ832(D4xQ8):15C2128,2218
(D4xQ8):16C2 = C22.78C25φ: C2/C1 → C2 ⊆ Out D4xQ832(D4xQ8):16C2128,2221
(D4xQ8):17C2 = C4:2- 1+4φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):17C2128,2229
(D4xQ8):18C2 = C22.88C25φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):18C2128,2231
(D4xQ8):19C2 = C22.90C25φ: C2/C1 → C2 ⊆ Out D4xQ832(D4xQ8):19C2128,2233
(D4xQ8):20C2 = C22.92C25φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):20C2128,2235
(D4xQ8):21C2 = C22.103C25φ: C2/C1 → C2 ⊆ Out D4xQ832(D4xQ8):21C2128,2246
(D4xQ8):22C2 = C22.105C25φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):22C2128,2248
(D4xQ8):23C2 = C22.107C25φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):23C2128,2250
(D4xQ8):24C2 = C23.144C24φ: C2/C1 → C2 ⊆ Out D4xQ832(D4xQ8):24C2128,2252
(D4xQ8):25C2 = C23.146C24φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):25C2128,2255
(D4xQ8):26C2 = C22.127C25φ: C2/C1 → C2 ⊆ Out D4xQ832(D4xQ8):26C2128,2270
(D4xQ8):27C2 = C22.130C25φ: C2/C1 → C2 ⊆ Out D4xQ832(D4xQ8):27C2128,2273
(D4xQ8):28C2 = C22.136C25φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):28C2128,2279
(D4xQ8):29C2 = C22.139C25φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):29C2128,2282
(D4xQ8):30C2 = C22.141C25φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):30C2128,2284
(D4xQ8):31C2 = C22.143C25φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8):31C2128,2286
(D4xQ8):32C2 = C22.150C25φ: C2/C1 → C2 ⊆ Out D4xQ832(D4xQ8):32C2128,2293
(D4xQ8):33C2 = D4xC4oD4φ: trivial image32(D4xQ8):33C2128,2200
(D4xQ8):34C2 = Q8xC4oD4φ: trivial image64(D4xQ8):34C2128,2210
(D4xQ8):35C2 = C22.71C25φ: trivial image64(D4xQ8):35C2128,2214

Non-split extensions G=N.Q with N=D4xQ8 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xQ8).1C2 = D4.3Q16φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8).1C2128,369
(D4xQ8).2C2 = D4:4Q16φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8).2C2128,381
(D4xQ8).3C2 = Q8:4SD16φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8).3C2128,383
(D4xQ8).4C2 = D4xQ16φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8).4C2128,2018
(D4xQ8).5C2 = D4:5Q16φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8).5C2128,2031
(D4xQ8).6C2 = C42.47C23φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8).6C2128,2044
(D4xQ8).7C2 = C42.477C23φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8).7C2128,2060
(D4xQ8).8C2 = Q8:7SD16φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8).8C2128,2091
(D4xQ8).9C2 = Q8xSD16φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8).9C2128,2111
(D4xQ8).10C2 = SD16:2Q8φ: C2/C1 → C2 ⊆ Out D4xQ864(D4xQ8).10C2128,2118

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