Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×C30

Direct product G=N×Q with N=Q8 and Q=C2×C30

Semidirect products G=N:Q with N=Q8 and Q=C2×C30
extensionφ:Q→Out NdρLabelID
Q8⋊(C2×C30) = C2×C10×SL2(𝔽3)φ: C2×C30/C2×C10C3 ⊆ Out Q8160Q8:(C2xC30)480,1128
Q82(C2×C30) = SD16×C30φ: C2×C30/C30C2 ⊆ Out Q8240Q8:2(C2xC30)480,938
Q83(C2×C30) = C15×C8⋊C22φ: C2×C30/C30C2 ⊆ Out Q81204Q8:3(C2xC30)480,941
Q84(C2×C30) = C4○D4×C30φ: trivial image240Q8:4(C2xC30)480,1183
Q85(C2×C30) = C15×2+ 1+4φ: trivial image1204Q8:5(C2xC30)480,1184

Non-split extensions G=N.Q with N=Q8 and Q=C2×C30
extensionφ:Q→Out NdρLabelID
Q8.1(C2×C30) = C10×C4.A4φ: C2×C30/C2×C10C3 ⊆ Out Q8160Q8.1(C2xC30)480,1130
Q8.2(C2×C30) = C5×Q8.A4φ: C2×C30/C2×C10C3 ⊆ Out Q81204Q8.2(C2xC30)480,1131
Q8.3(C2×C30) = C5×D4.A4φ: C2×C30/C2×C10C3 ⊆ Out Q8804Q8.3(C2xC30)480,1132
Q8.4(C2×C30) = Q16×C30φ: C2×C30/C30C2 ⊆ Out Q8480Q8.4(C2xC30)480,939
Q8.5(C2×C30) = C15×C4○D8φ: C2×C30/C30C2 ⊆ Out Q82402Q8.5(C2xC30)480,940
Q8.6(C2×C30) = C15×C8.C22φ: C2×C30/C30C2 ⊆ Out Q82404Q8.6(C2xC30)480,942
Q8.7(C2×C30) = C15×2- 1+4φ: trivial image2404Q8.7(C2xC30)480,1185