# Extensions 1→N→G→Q→1 with N=D5×C24 and Q=C2

Direct product G=N×Q with N=D5×C24 and Q=C2
dρLabelID
D5×C2×C24240D5xC2xC24480,692

Semidirect products G=N:Q with N=D5×C24 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C24)⋊1C2 = D5×D24φ: C2/C1C2 ⊆ Out D5×C241204+(D5xC24):1C2480,324
(D5×C24)⋊2C2 = D247D5φ: C2/C1C2 ⊆ Out D5×C242404-(D5xC24):2C2480,346
(D5×C24)⋊3C2 = D120⋊C2φ: C2/C1C2 ⊆ Out D5×C242404+(D5xC24):3C2480,347
(D5×C24)⋊4C2 = D5×C24⋊C2φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24):4C2480,323
(D5×C24)⋊5C2 = C40.31D6φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24):5C2480,345
(D5×C24)⋊6C2 = C3×D5×D8φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24):6C2480,703
(D5×C24)⋊7C2 = C3×D83D5φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24):7C2480,705
(D5×C24)⋊8C2 = C3×Q8.D10φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24):8C2480,712
(D5×C24)⋊9C2 = S3×C8×D5φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24):9C2480,319
(D5×C24)⋊10C2 = D5×C8⋊S3φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24):10C2480,320
(D5×C24)⋊11C2 = C40.54D6φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24):11C2480,341
(D5×C24)⋊12C2 = C40.34D6φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24):12C2480,342
(D5×C24)⋊13C2 = C3×D5×SD16φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24):13C2480,706
(D5×C24)⋊14C2 = C3×SD163D5φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24):14C2480,709
(D5×C24)⋊15C2 = C3×D20.3C4φ: C2/C1C2 ⊆ Out D5×C242402(D5xC24):15C2480,694
(D5×C24)⋊16C2 = C3×D5×M4(2)φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24):16C2480,699
(D5×C24)⋊17C2 = C3×D20.2C4φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24):17C2480,700

Non-split extensions G=N.Q with N=D5×C24 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C24).1C2 = D5×Dic12φ: C2/C1C2 ⊆ Out D5×C242404-(D5xC24).1C2480,335
(D5×C24).2C2 = C3×D5×Q16φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).2C2480,710
(D5×C24).3C2 = D5×C3⋊C16φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).3C2480,7
(D5×C24).4C2 = C40.51D6φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).4C2480,10
(D5×C24).5C2 = D5.D24φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24).5C2480,299
(D5×C24).6C2 = C24.1F5φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).6C2480,301
(D5×C24).7C2 = C120⋊C4φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24).7C2480,298
(D5×C24).8C2 = C40.Dic3φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).8C2480,300
(D5×C24).9C2 = C3×C80⋊C2φ: C2/C1C2 ⊆ Out D5×C242402(D5xC24).9C2480,76
(D5×C24).10C2 = C3×D5.D8φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24).10C2480,274
(D5×C24).11C2 = C3×D10.Q8φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).11C2480,276
(D5×C24).12C2 = C24.F5φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).12C2480,294
(D5×C24).13C2 = C120.C4φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).13C2480,295
(D5×C24).14C2 = C8×C3⋊F5φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24).14C2480,296
(D5×C24).15C2 = C24⋊F5φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24).15C2480,297
(D5×C24).16C2 = C3×C40⋊C4φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24).16C2480,273
(D5×C24).17C2 = C3×C40.C4φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).17C2480,275
(D5×C24).18C2 = C3×D5⋊C16φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).18C2480,269
(D5×C24).19C2 = C3×C8.F5φ: C2/C1C2 ⊆ Out D5×C242404(D5xC24).19C2480,270
(D5×C24).20C2 = F5×C24φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24).20C2480,271
(D5×C24).21C2 = C3×C8⋊F5φ: C2/C1C2 ⊆ Out D5×C241204(D5xC24).21C2480,272
(D5×C24).22C2 = D5×C48φ: trivial image2402(D5xC24).22C2480,75

׿
×
𝔽