# Extensions 1→N→G→Q→1 with N=D5×C22⋊C4 and Q=C2

Direct product G=N×Q with N=D5×C22⋊C4 and Q=C2
dρLabelID
C2×D5×C22⋊C480C2xD5xC2^2:C4320,1156

Semidirect products G=N:Q with N=D5×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C22⋊C4)⋊1C2 = D5×C22≀C2φ: C2/C1C2 ⊆ Out D5×C22⋊C440(D5xC2^2:C4):1C2320,1260
(D5×C22⋊C4)⋊2C2 = C243D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):2C2320,1261
(D5×C22⋊C4)⋊3C2 = C24.33D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):3C2320,1263
(D5×C22⋊C4)⋊4C2 = D5×C4⋊D4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):4C2320,1276
(D5×C22⋊C4)⋊5C2 = C10.402+ 1+4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):5C2320,1282
(D5×C22⋊C4)⋊6C2 = D2020D4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):6C2320,1284
(D5×C22⋊C4)⋊7C2 = C10.422+ 1+4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):7C2320,1285
(D5×C22⋊C4)⋊8C2 = D2021D4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):8C2320,1302
(D5×C22⋊C4)⋊9C2 = C10.532+ 1+4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):9C2320,1309
(D5×C22⋊C4)⋊10C2 = D5×C22.D4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):10C2320,1324
(D5×C22⋊C4)⋊11C2 = C10.1202+ 1+4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):11C2320,1325
(D5×C22⋊C4)⋊12C2 = C10.1212+ 1+4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):12C2320,1326
(D5×C22⋊C4)⋊13C2 = C10.612+ 1+4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):13C2320,1329
(D5×C22⋊C4)⋊14C2 = C10.1222+ 1+4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):14C2320,1330
(D5×C22⋊C4)⋊15C2 = C10.622+ 1+4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):15C2320,1331
(D5×C22⋊C4)⋊16C2 = D5×C4.4D4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):16C2320,1345
(D5×C22⋊C4)⋊17C2 = D2010D4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):17C2320,1348
(D5×C22⋊C4)⋊18C2 = C4220D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):18C2320,1350
(D5×C22⋊C4)⋊19C2 = C4221D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):19C2320,1351
(D5×C22⋊C4)⋊20C2 = C4223D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):20C2320,1376
(D5×C22⋊C4)⋊21C2 = C4224D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):21C2320,1377
(D5×C22⋊C4)⋊22C2 = D5×C23⋊C4φ: C2/C1C2 ⊆ Out D5×C22⋊C4408+(D5xC2^2:C4):22C2320,370
(D5×C22⋊C4)⋊23C2 = C24.24D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):23C2320,1158
(D5×C22⋊C4)⋊24C2 = C24.27D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):24C2320,1162
(D5×C22⋊C4)⋊25C2 = C427D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):25C2320,1193
(D5×C22⋊C4)⋊26C2 = C4210D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):26C2320,1199
(D5×C22⋊C4)⋊27C2 = C4211D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):27C2320,1217
(D5×C22⋊C4)⋊28C2 = D2023D4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):28C2320,1222
(D5×C22⋊C4)⋊29C2 = C4216D10φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4):29C2320,1228
(D5×C22⋊C4)⋊30C2 = C4×D4×D5φ: trivial image80(D5xC2^2:C4):30C2320,1216

Non-split extensions G=N.Q with N=D5×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C22⋊C4).1C2 = D5×C22⋊Q8φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4).1C2320,1298
(D5×C22⋊C4).2C2 = C10.512+ 1+4φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4).2C2320,1306
(D5×C22⋊C4).3C2 = D5×C422C2φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4).3C2320,1375
(D5×C22⋊C4).4C2 = (C22×F5)⋊C4φ: C2/C1C2 ⊆ Out D5×C22⋊C4408+(D5xC2^2:C4).4C2320,204
(D5×C22⋊C4).5C2 = D10⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out D5×C22⋊C440(D5xC2^2:C4).5C2320,1037
(D5×C22⋊C4).6C2 = C10.(C4×D4)φ: C2/C1C2 ⊆ Out D5×C22⋊C480(D5xC2^2:C4).6C2320,1038
(D5×C22⋊C4).7C2 = C22⋊C4×F5φ: C2/C1C2 ⊆ Out D5×C22⋊C440(D5xC2^2:C4).7C2320,1036
(D5×C22⋊C4).8C2 = D5×C42⋊C2φ: trivial image80(D5xC2^2:C4).8C2320,1192

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