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Extensions 1→N→G→Q→1 with N=D4xC23 and Q=C2

Direct product G=NxQ with N=D4xC23 and Q=C2
dρLabelID
D4xC2464D4xC2^4128,2320

Semidirect products G=N:Q with N=D4xC23 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xC23):1C2 = C2xC23:2D4φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3):1C2128,1116
(D4xC23):2C2 = C24:7D4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):2C2128,1135
(D4xC23):3C2 = C23.308C24φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):3C2128,1140
(D4xC23):4C2 = C24:8D4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):4C2128,1142
(D4xC23):5C2 = C23.333C24φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):5C2128,1165
(D4xC23):6C2 = C24:9D4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):6C2128,1345
(D4xC23):7C2 = C2xC22:D8φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):7C2128,1728
(D4xC23):8C2 = C24.177D4φ: C2/C1 → C2 ⊆ Out D4xC2316(D4xC2^3):8C2128,1735
(D4xC23):9C2 = C22xC22wrC2φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):9C2128,2163
(D4xC23):10C2 = C22xC4:D4φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3):10C2128,2164
(D4xC23):11C2 = C22xC4:1D4φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3):11C2128,2172
(D4xC23):12C2 = C2xC23:3D4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):12C2128,2177
(D4xC23):13C2 = C2xC22.29C24φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):13C2128,2178
(D4xC23):14C2 = C2xD42φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):14C2128,2194
(D4xC23):15C2 = C2xD4:5D4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):15C2128,2195
(D4xC23):16C2 = C22.73C25φ: C2/C1 → C2 ⊆ Out D4xC2316(D4xC2^3):16C2128,2216
(D4xC23):17C2 = C23xD8φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3):17C2128,2306
(D4xC23):18C2 = C22xC8:C22φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):18C2128,2310
(D4xC23):19C2 = C22x2+ 1+4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3):19C2128,2323
(D4xC23):20C2 = C23xC4oD4φ: trivial image64(D4xC2^3):20C2128,2322

Non-split extensions G=N.Q with N=D4xC23 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xC23).1C2 = C24.50D4φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3).1C2128,170
(D4xC23).2C2 = C25:C4φ: C2/C1 → C2 ⊆ Out D4xC2316(D4xC2^3).2C2128,513
(D4xC23).3C2 = C25.C4φ: C2/C1 → C2 ⊆ Out D4xC2316(D4xC2^3).3C2128,515
(D4xC23).4C2 = C23.35D8φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).4C2128,518
(D4xC23).5C2 = C2xC23.23D4φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3).5C2128,1019
(D4xC23).6C2 = C2xC24.3C22φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3).6C2128,1024
(D4xC23).7C2 = C24.90D4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).7C2128,1040
(D4xC23).8C2 = C23.191C24φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).8C2128,1041
(D4xC23).9C2 = D4xC22:C4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).9C2128,1070
(D4xC23).10C2 = C2xC23.10D4φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3).10C2128,1118
(D4xC23).11C2 = C24.94D4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).11C2128,1137
(D4xC23).12C2 = C23.335C24φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).12C2128,1167
(D4xC23).13C2 = C22xC23:C4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).13C2128,1613
(D4xC23).14C2 = C22xC4.D4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).14C2128,1617
(D4xC23).15C2 = C22xD4:C4φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3).15C2128,1622
(D4xC23).16C2 = C2xC23.37D4φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).16C2128,1625
(D4xC23).17C2 = C2xC22:SD16φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).17C2128,1729
(D4xC23).18C2 = C2xC22.11C24φ: C2/C1 → C2 ⊆ Out D4xC2332(D4xC2^3).18C2128,2157
(D4xC23).19C2 = C22xC22.D4φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3).19C2128,2166
(D4xC23).20C2 = C22xC4.4D4φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3).20C2128,2168
(D4xC23).21C2 = C23xSD16φ: C2/C1 → C2 ⊆ Out D4xC2364(D4xC2^3).21C2128,2307
(D4xC23).22C2 = D4xC22xC4φ: trivial image64(D4xC2^3).22C2128,2154

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