Extensions 1→N→G→Q→1 with N=D5xC3:C8 and Q=C2

Direct product G=NxQ with N=D5xC3:C8 and Q=C2
dρLabelID
C2xD5xC3:C8240C2xD5xC3:C8480,357

Semidirect products G=N:Q with N=D5xC3:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xC3:C8):1C2 = D5xD4:S3φ: C2/C1C2 ⊆ Out D5xC3:C81208+(D5xC3:C8):1C2480,553
(D5xC3:C8):2C2 = D5xD4.S3φ: C2/C1C2 ⊆ Out D5xC3:C81208-(D5xC3:C8):2C2480,559
(D5xC3:C8):3C2 = D12.24D10φ: C2/C1C2 ⊆ Out D5xC3:C82408-(D5xC3:C8):3C2480,566
(D5xC3:C8):4C2 = C60.16C23φ: C2/C1C2 ⊆ Out D5xC3:C82408+(D5xC3:C8):4C2480,568
(D5xC3:C8):5C2 = D5xQ8:2S3φ: C2/C1C2 ⊆ Out D5xC3:C81208+(D5xC3:C8):5C2480,577
(D5xC3:C8):6C2 = D20.14D6φ: C2/C1C2 ⊆ Out D5xC3:C82408-(D5xC3:C8):6C2480,590
(D5xC3:C8):7C2 = D20.D6φ: C2/C1C2 ⊆ Out D5xC3:C82408+(D5xC3:C8):7C2480,592
(D5xC3:C8):8C2 = D5xC8:S3φ: C2/C1C2 ⊆ Out D5xC3:C81204(D5xC3:C8):8C2480,320
(D5xC3:C8):9C2 = C40.55D6φ: C2/C1C2 ⊆ Out D5xC3:C82404(D5xC3:C8):9C2480,343
(D5xC3:C8):10C2 = C40.35D6φ: C2/C1C2 ⊆ Out D5xC3:C82404(D5xC3:C8):10C2480,344
(D5xC3:C8):11C2 = D5xC4.Dic3φ: C2/C1C2 ⊆ Out D5xC3:C81204(D5xC3:C8):11C2480,358
(D5xC3:C8):12C2 = D20.3Dic3φ: C2/C1C2 ⊆ Out D5xC3:C82404(D5xC3:C8):12C2480,359
(D5xC3:C8):13C2 = D20.2Dic3φ: C2/C1C2 ⊆ Out D5xC3:C82404(D5xC3:C8):13C2480,360
(D5xC3:C8):14C2 = S3xC8xD5φ: trivial image1204(D5xC3:C8):14C2480,319

Non-split extensions G=N.Q with N=D5xC3:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xC3:C8).1C2 = D5xC3:Q16φ: C2/C1C2 ⊆ Out D5xC3:C82408-(D5xC3:C8).1C2480,583
(D5xC3:C8).2C2 = Dic5.Dic6φ: C2/C1C2 ⊆ Out D5xC3:C81208(D5xC3:C8).2C2480,235
(D5xC3:C8).3C2 = Dic5.4Dic6φ: C2/C1C2 ⊆ Out D5xC3:C81208(D5xC3:C8).3C2480,236
(D5xC3:C8).4C2 = D10.Dic6φ: C2/C1C2 ⊆ Out D5xC3:C82408(D5xC3:C8).4C2480,237
(D5xC3:C8).5C2 = D10.2Dic6φ: C2/C1C2 ⊆ Out D5xC3:C82408(D5xC3:C8).5C2480,238
(D5xC3:C8).6C2 = F5xC3:C8φ: C2/C1C2 ⊆ Out D5xC3:C81208(D5xC3:C8).6C2480,223
(D5xC3:C8).7C2 = C30.C42φ: C2/C1C2 ⊆ Out D5xC3:C81208(D5xC3:C8).7C2480,224
(D5xC3:C8).8C2 = C30.3C42φ: C2/C1C2 ⊆ Out D5xC3:C81208(D5xC3:C8).8C2480,225
(D5xC3:C8).9C2 = C30.4C42φ: C2/C1C2 ⊆ Out D5xC3:C81208(D5xC3:C8).9C2480,226

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