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Extensions 1→N→G→Q→1 with N=C5xC4oD12 and Q=C2

Direct product G=NxQ with N=C5xC4oD12 and Q=C2
dρLabelID
C10xC4oD12240C10xC4oD12480,1153

Semidirect products G=N:Q with N=C5xC4oD12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xC4oD12):1C2 = C60.36D4φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12):1C2480,374
(C5xC4oD12):2C2 = C30.C24φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12):2C2480,1080
(C5xC4oD12):3C2 = D20:25D6φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12):3C2480,1093
(C5xC4oD12):4C2 = C20.60D12φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12):4C2480,379
(C5xC4oD12):5C2 = D5xC4oD12φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12):5C2480,1090
(C5xC4oD12):6C2 = C60.38D4φ: C2/C1 → C2 ⊆ Out C5xC4oD121204+(C5xC4oD12):6C2480,381
(C5xC4oD12):7C2 = D20.39D6φ: C2/C1 → C2 ⊆ Out C5xC4oD122404-(C5xC4oD12):7C2480,1077
(C5xC4oD12):8C2 = D20:29D6φ: C2/C1 → C2 ⊆ Out C5xC4oD121204+(C5xC4oD12):8C2480,1095
(C5xC4oD12):9C2 = D20.34D6φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12):9C2480,373
(C5xC4oD12):10C2 = D20:24D6φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12):10C2480,1092
(C5xC4oD12):11C2 = C5xC4oD24φ: C2/C1 → C2 ⊆ Out C5xC4oD122402(C5xC4oD12):11C2480,783
(C5xC4oD12):12C2 = C5xC8:D6φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12):12C2480,787
(C5xC4oD12):13C2 = C5xD12:6C22φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12):13C2480,811
(C5xC4oD12):14C2 = C5xQ8.13D6φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12):14C2480,829
(C5xC4oD12):15C2 = C5xD4:6D6φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12):15C2480,1156
(C5xC4oD12):16C2 = C5xQ8.15D6φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12):16C2480,1159
(C5xC4oD12):17C2 = C5xS3xC4oD4φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12):17C2480,1160
(C5xC4oD12):18C2 = C5xD4oD12φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12):18C2480,1161
(C5xC4oD12):19C2 = C5xQ8oD12φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12):19C2480,1162

Non-split extensions G=N.Q with N=C5xC4oD12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xC4oD12).1C2 = D12.37D10φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12).1C2480,385
(C5xC4oD12).2C2 = C60.99D4φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12).2C2480,55
(C5xC4oD12).3C2 = D12.2Dic5φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12).3C2480,362
(C5xC4oD12).4C2 = D12.33D10φ: C2/C1 → C2 ⊆ Out C5xC4oD122404-(C5xC4oD12).4C2480,398
(C5xC4oD12).5C2 = C60.98D4φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12).5C2480,54
(C5xC4oD12).6C2 = D12.Dic5φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12).6C2480,364
(C5xC4oD12).7C2 = C5xC42:4S3φ: C2/C1 → C2 ⊆ Out C5xC4oD121202(C5xC4oD12).7C2480,124
(C5xC4oD12).8C2 = C5xD12:C4φ: C2/C1 → C2 ⊆ Out C5xC4oD121204(C5xC4oD12).8C2480,144
(C5xC4oD12).9C2 = C5xD12.C4φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12).9C2480,786
(C5xC4oD12).10C2 = C5xC8.D6φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12).10C2480,788
(C5xC4oD12).11C2 = C5xQ8.11D6φ: C2/C1 → C2 ⊆ Out C5xC4oD122404(C5xC4oD12).11C2480,821
(C5xC4oD12).12C2 = C5xC8oD12φ: trivial image2402(C5xC4oD12).12C2480,780

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