# Extensions 1→N→G→Q→1 with N=D4×C23 and Q=C2

Direct product G=N×Q with N=D4×C23 and Q=C2
dρLabelID
D4×C2464D4xC2^4128,2320

Semidirect products G=N:Q with N=D4×C23 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C23)⋊1C2 = C2×C232D4φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3):1C2128,1116
(D4×C23)⋊2C2 = C247D4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):2C2128,1135
(D4×C23)⋊3C2 = C23.308C24φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):3C2128,1140
(D4×C23)⋊4C2 = C248D4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):4C2128,1142
(D4×C23)⋊5C2 = C23.333C24φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):5C2128,1165
(D4×C23)⋊6C2 = C249D4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):6C2128,1345
(D4×C23)⋊7C2 = C2×C22⋊D8φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):7C2128,1728
(D4×C23)⋊8C2 = C24.177D4φ: C2/C1C2 ⊆ Out D4×C2316(D4xC2^3):8C2128,1735
(D4×C23)⋊9C2 = C22×C22≀C2φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):9C2128,2163
(D4×C23)⋊10C2 = C22×C4⋊D4φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3):10C2128,2164
(D4×C23)⋊11C2 = C22×C41D4φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3):11C2128,2172
(D4×C23)⋊12C2 = C2×C233D4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):12C2128,2177
(D4×C23)⋊13C2 = C2×C22.29C24φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):13C2128,2178
(D4×C23)⋊14C2 = C2×D42φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):14C2128,2194
(D4×C23)⋊15C2 = C2×D45D4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):15C2128,2195
(D4×C23)⋊16C2 = C22.73C25φ: C2/C1C2 ⊆ Out D4×C2316(D4xC2^3):16C2128,2216
(D4×C23)⋊17C2 = C23×D8φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3):17C2128,2306
(D4×C23)⋊18C2 = C22×C8⋊C22φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):18C2128,2310
(D4×C23)⋊19C2 = C22×2+ 1+4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3):19C2128,2323
(D4×C23)⋊20C2 = C23×C4○D4φ: trivial image64(D4xC2^3):20C2128,2322

Non-split extensions G=N.Q with N=D4×C23 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C23).1C2 = C24.50D4φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3).1C2128,170
(D4×C23).2C2 = C25⋊C4φ: C2/C1C2 ⊆ Out D4×C2316(D4xC2^3).2C2128,513
(D4×C23).3C2 = C25.C4φ: C2/C1C2 ⊆ Out D4×C2316(D4xC2^3).3C2128,515
(D4×C23).4C2 = C23.35D8φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).4C2128,518
(D4×C23).5C2 = C2×C23.23D4φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3).5C2128,1019
(D4×C23).6C2 = C2×C24.3C22φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3).6C2128,1024
(D4×C23).7C2 = C24.90D4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).7C2128,1040
(D4×C23).8C2 = C23.191C24φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).8C2128,1041
(D4×C23).9C2 = D4×C22⋊C4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).9C2128,1070
(D4×C23).10C2 = C2×C23.10D4φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3).10C2128,1118
(D4×C23).11C2 = C24.94D4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).11C2128,1137
(D4×C23).12C2 = C23.335C24φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).12C2128,1167
(D4×C23).13C2 = C22×C23⋊C4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).13C2128,1613
(D4×C23).14C2 = C22×C4.D4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).14C2128,1617
(D4×C23).15C2 = C22×D4⋊C4φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3).15C2128,1622
(D4×C23).16C2 = C2×C23.37D4φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).16C2128,1625
(D4×C23).17C2 = C2×C22⋊SD16φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).17C2128,1729
(D4×C23).18C2 = C2×C22.11C24φ: C2/C1C2 ⊆ Out D4×C2332(D4xC2^3).18C2128,2157
(D4×C23).19C2 = C22×C22.D4φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3).19C2128,2166
(D4×C23).20C2 = C22×C4.4D4φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3).20C2128,2168
(D4×C23).21C2 = C23×SD16φ: C2/C1C2 ⊆ Out D4×C2364(D4xC2^3).21C2128,2307
(D4×C23).22C2 = D4×C22×C4φ: trivial image64(D4xC2^3).22C2128,2154

׿
×
𝔽