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Extensions 1→N→G→Q→1 with N=C5×C3⋊C8 and Q=C4

Direct product G=N×Q with N=C5×C3⋊C8 and Q=C4
dρLabelID
C20×C3⋊C8480C20xC3:C8480,121

Semidirect products G=N:Q with N=C5×C3⋊C8 and Q=C4
extensionφ:Q→Out NdρLabelID
(C5×C3⋊C8)⋊1C4 = Dic5.Dic6φ: C4/C1 → C4 ⊆ Out C5×C3⋊C81208(C5xC3:C8):1C4480,235
(C5×C3⋊C8)⋊2C4 = Dic5.4Dic6φ: C4/C1 → C4 ⊆ Out C5×C3⋊C81208(C5xC3:C8):2C4480,236
(C5×C3⋊C8)⋊3C4 = F5×C3⋊C8φ: C4/C1 → C4 ⊆ Out C5×C3⋊C81208(C5xC3:C8):3C4480,223
(C5×C3⋊C8)⋊4C4 = C30.C42φ: C4/C1 → C4 ⊆ Out C5×C3⋊C81208(C5xC3:C8):4C4480,224
(C5×C3⋊C8)⋊5C4 = C30.3C42φ: C4/C1 → C4 ⊆ Out C5×C3⋊C81208(C5xC3:C8):5C4480,225
(C5×C3⋊C8)⋊6C4 = C30.4C42φ: C4/C1 → C4 ⊆ Out C5×C3⋊C81208(C5xC3:C8):6C4480,226
(C5×C3⋊C8)⋊7C4 = C60.Q8φ: C4/C2 → C2 ⊆ Out C5×C3⋊C8480(C5xC3:C8):7C4480,63
(C5×C3⋊C8)⋊8C4 = C60.5Q8φ: C4/C2 → C2 ⊆ Out C5×C3⋊C8480(C5xC3:C8):8C4480,66
(C5×C3⋊C8)⋊9C4 = Dic5×C3⋊C8φ: C4/C2 → C2 ⊆ Out C5×C3⋊C8480(C5xC3:C8):9C4480,25
(C5×C3⋊C8)⋊10C4 = Dic15⋊4C8φ: C4/C2 → C2 ⊆ Out C5×C3⋊C8480(C5xC3:C8):10C4480,27
(C5×C3⋊C8)⋊11C4 = C30.21C42φ: C4/C2 → C2 ⊆ Out C5×C3⋊C8480(C5xC3:C8):11C4480,28
(C5×C3⋊C8)⋊12C4 = C30.23C42φ: C4/C2 → C2 ⊆ Out C5×C3⋊C8480(C5xC3:C8):12C4480,30
(C5×C3⋊C8)⋊13C4 = C5×C6.Q16φ: C4/C2 → C2 ⊆ Out C5×C3⋊C8480(C5xC3:C8):13C4480,126
(C5×C3⋊C8)⋊14C4 = C5×C12.Q8φ: C4/C2 → C2 ⊆ Out C5×C3⋊C8480(C5xC3:C8):14C4480,127
(C5×C3⋊C8)⋊15C4 = C5×C42.S3φ: C4/C2 → C2 ⊆ Out C5×C3⋊C8480(C5xC3:C8):15C4480,122
(C5×C3⋊C8)⋊16C4 = C5×C24⋊C4φ: C4/C2 → C2 ⊆ Out C5×C3⋊C8480(C5xC3:C8):16C4480,134
(C5×C3⋊C8)⋊17C4 = Dic3×C40φ: trivial image480(C5xC3:C8):17C4480,132

Non-split extensions G=N.Q with N=C5×C3⋊C8 and Q=C4
extensionφ:Q→Out NdρLabelID
(C5×C3⋊C8).1C4 = D10.Dic6φ: C4/C1 → C4 ⊆ Out C5×C3⋊C82408(C5xC3:C8).1C4480,237
(C5×C3⋊C8).2C4 = D10.2Dic6φ: C4/C1 → C4 ⊆ Out C5×C3⋊C82408(C5xC3:C8).2C4480,238
(C5×C3⋊C8).3C4 = D15⋊C16φ: C4/C1 → C4 ⊆ Out C5×C3⋊C82408(C5xC3:C8).3C4480,240
(C5×C3⋊C8).4C4 = D30.C8φ: C4/C1 → C4 ⊆ Out C5×C3⋊C82408(C5xC3:C8).4C4480,242
(C5×C3⋊C8).5C4 = C12.59D20φ: C4/C2 → C2 ⊆ Out C5×C3⋊C82404(C5xC3:C8).5C4480,69
(C5×C3⋊C8).6C4 = S3×C5⋊2C16φ: C4/C2 → C2 ⊆ Out C5×C3⋊C82404(C5xC3:C8).6C4480,8
(C5×C3⋊C8).7C4 = C40.52D6φ: C4/C2 → C2 ⊆ Out C5×C3⋊C82404(C5xC3:C8).7C4480,11
(C5×C3⋊C8).8C4 = C5×C12.53D4φ: C4/C2 → C2 ⊆ Out C5×C3⋊C82404(C5xC3:C8).8C4480,141
(C5×C3⋊C8).9C4 = C5×D6.C8φ: C4/C2 → C2 ⊆ Out C5×C3⋊C82402(C5xC3:C8).9C4480,117
(C5×C3⋊C8).10C4 = S3×C80φ: trivial image2402(C5xC3:C8).10C4480,116

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