Extensions 1→N→G→Q→1 with N=Q8 and Q=C6xD5

Direct product G=NxQ with N=Q8 and Q=C6xD5
dρLabelID
C6xQ8xD5240C6xQ8xD5480,1142

Semidirect products G=N:Q with N=Q8 and Q=C6xD5
extensionφ:Q→Out NdρLabelID
Q8:(C6xD5) = C2xD5xSL2(F3)φ: C6xD5/D10C3 ⊆ Out Q880Q8:(C6xD5)480,1039
Q8:2(C6xD5) = C3xD5xSD16φ: C6xD5/C3xD5C2 ⊆ Out Q81204Q8:2(C6xD5)480,706
Q8:3(C6xD5) = C3xD40:C2φ: C6xD5/C3xD5C2 ⊆ Out Q81204Q8:3(C6xD5)480,707
Q8:4(C6xD5) = C6xQ8:D5φ: C6xD5/C30C2 ⊆ Out Q8240Q8:4(C6xD5)480,734
Q8:5(C6xD5) = C3xD4:D10φ: C6xD5/C30C2 ⊆ Out Q81204Q8:5(C6xD5)480,742
Q8:6(C6xD5) = C6xQ8:2D5φ: trivial image240Q8:6(C6xD5)480,1143
Q8:7(C6xD5) = C3xD5xC4oD4φ: trivial image1204Q8:7(C6xD5)480,1145
Q8:8(C6xD5) = C3xD4:8D10φ: trivial image1204Q8:8(C6xD5)480,1146

Non-split extensions G=N.Q with N=Q8 and Q=C6xD5
extensionφ:Q→Out NdρLabelID
Q8.1(C6xD5) = C2xDic5.A4φ: C6xD5/D10C3 ⊆ Out Q8160Q8.1(C6xD5)480,1038
Q8.2(C6xD5) = SL2(F3).11D10φ: C6xD5/D10C3 ⊆ Out Q8804Q8.2(C6xD5)480,1040
Q8.3(C6xD5) = Dic10.A4φ: C6xD5/D10C3 ⊆ Out Q81204+Q8.3(C6xD5)480,1041
Q8.4(C6xD5) = D5xC4.A4φ: C6xD5/D10C3 ⊆ Out Q8804Q8.4(C6xD5)480,1042
Q8.5(C6xD5) = D20.A4φ: C6xD5/D10C3 ⊆ Out Q8804-Q8.5(C6xD5)480,1043
Q8.6(C6xD5) = C3xSD16:D5φ: C6xD5/C3xD5C2 ⊆ Out Q82404Q8.6(C6xD5)480,708
Q8.7(C6xD5) = C3xSD16:3D5φ: C6xD5/C3xD5C2 ⊆ Out Q82404Q8.7(C6xD5)480,709
Q8.8(C6xD5) = C3xD5xQ16φ: C6xD5/C3xD5C2 ⊆ Out Q82404Q8.8(C6xD5)480,710
Q8.9(C6xD5) = C3xQ16:D5φ: C6xD5/C3xD5C2 ⊆ Out Q82404Q8.9(C6xD5)480,711
Q8.10(C6xD5) = C3xQ8.D10φ: C6xD5/C3xD5C2 ⊆ Out Q82404Q8.10(C6xD5)480,712
Q8.11(C6xD5) = C3xC20.C23φ: C6xD5/C30C2 ⊆ Out Q82404Q8.11(C6xD5)480,735
Q8.12(C6xD5) = C6xC5:Q16φ: C6xD5/C30C2 ⊆ Out Q8480Q8.12(C6xD5)480,736
Q8.13(C6xD5) = C3xD4.8D10φ: C6xD5/C30C2 ⊆ Out Q82404Q8.13(C6xD5)480,743
Q8.14(C6xD5) = C3xD4.9D10φ: C6xD5/C30C2 ⊆ Out Q82404Q8.14(C6xD5)480,744
Q8.15(C6xD5) = C3xQ8.10D10φ: trivial image2404Q8.15(C6xD5)480,1144
Q8.16(C6xD5) = C3xD4.10D10φ: trivial image2404Q8.16(C6xD5)480,1147

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