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Extensions 1→N→G→Q→1 with N=D5×C3⋊C8 and Q=C2

Direct product G=N×Q with N=D5×C3⋊C8 and Q=C2
dρLabelID
C2×D5×C3⋊C8240C2xD5xC3:C8480,357

Semidirect products G=N:Q with N=D5×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C3⋊C8)⋊1C2 = D5×D4⋊S3φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81208+(D5xC3:C8):1C2480,553
(D5×C3⋊C8)⋊2C2 = D5×D4.S3φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81208-(D5xC3:C8):2C2480,559
(D5×C3⋊C8)⋊3C2 = D12.24D10φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82408-(D5xC3:C8):3C2480,566
(D5×C3⋊C8)⋊4C2 = C60.16C23φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82408+(D5xC3:C8):4C2480,568
(D5×C3⋊C8)⋊5C2 = D5×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81208+(D5xC3:C8):5C2480,577
(D5×C3⋊C8)⋊6C2 = D20.14D6φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82408-(D5xC3:C8):6C2480,590
(D5×C3⋊C8)⋊7C2 = D20.D6φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82408+(D5xC3:C8):7C2480,592
(D5×C3⋊C8)⋊8C2 = D5×C8⋊S3φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81204(D5xC3:C8):8C2480,320
(D5×C3⋊C8)⋊9C2 = C40.55D6φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82404(D5xC3:C8):9C2480,343
(D5×C3⋊C8)⋊10C2 = C40.35D6φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82404(D5xC3:C8):10C2480,344
(D5×C3⋊C8)⋊11C2 = D5×C4.Dic3φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81204(D5xC3:C8):11C2480,358
(D5×C3⋊C8)⋊12C2 = D20.3Dic3φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82404(D5xC3:C8):12C2480,359
(D5×C3⋊C8)⋊13C2 = D20.2Dic3φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82404(D5xC3:C8):13C2480,360
(D5×C3⋊C8)⋊14C2 = S3×C8×D5φ: trivial image1204(D5xC3:C8):14C2480,319

Non-split extensions G=N.Q with N=D5×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C3⋊C8).1C2 = D5×C3⋊Q16φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82408-(D5xC3:C8).1C2480,583
(D5×C3⋊C8).2C2 = Dic5.Dic6φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81208(D5xC3:C8).2C2480,235
(D5×C3⋊C8).3C2 = Dic5.4Dic6φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81208(D5xC3:C8).3C2480,236
(D5×C3⋊C8).4C2 = D10.Dic6φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82408(D5xC3:C8).4C2480,237
(D5×C3⋊C8).5C2 = D10.2Dic6φ: C2/C1 → C2 ⊆ Out D5×C3⋊C82408(D5xC3:C8).5C2480,238
(D5×C3⋊C8).6C2 = F5×C3⋊C8φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81208(D5xC3:C8).6C2480,223
(D5×C3⋊C8).7C2 = C30.C42φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81208(D5xC3:C8).7C2480,224
(D5×C3⋊C8).8C2 = C30.3C42φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81208(D5xC3:C8).8C2480,225
(D5×C3⋊C8).9C2 = C30.4C42φ: C2/C1 → C2 ⊆ Out D5×C3⋊C81208(D5xC3:C8).9C2480,226

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