Extensions 1→N→G→Q→1 with N=C30 and Q=SD16

Direct product G=N×Q with N=C30 and Q=SD16
dρLabelID
SD16×C30240SD16xC30480,938

Semidirect products G=N:Q with N=C30 and Q=SD16
extensionφ:Q→Aut NdρLabelID
C301SD16 = C2×C30.D4φ: SD16/C4C22 ⊆ Aut C30240C30:1SD16480,382
C302SD16 = C2×C20.D6φ: SD16/C4C22 ⊆ Aut C30240C30:2SD16480,384
C303SD16 = C2×C6.D20φ: SD16/C4C22 ⊆ Aut C30240C30:3SD16480,386
C304SD16 = C2×C15⋊SD16φ: SD16/C4C22 ⊆ Aut C30240C30:4SD16480,390
C305SD16 = C2×D12.D5φ: SD16/C4C22 ⊆ Aut C30240C30:5SD16480,392
C306SD16 = C2×Dic6⋊D5φ: SD16/C4C22 ⊆ Aut C30240C30:6SD16480,393
C307SD16 = C2×C24⋊D5φ: SD16/C8C2 ⊆ Aut C30240C30:7SD16480,867
C308SD16 = C6×C40⋊C2φ: SD16/C8C2 ⊆ Aut C30240C30:8SD16480,695
C309SD16 = C10×C24⋊C2φ: SD16/C8C2 ⊆ Aut C30240C30:9SD16480,781
C3010SD16 = C2×D4.D15φ: SD16/D4C2 ⊆ Aut C30240C30:10SD16480,898
C3011SD16 = C6×D4.D5φ: SD16/D4C2 ⊆ Aut C30240C30:11SD16480,726
C3012SD16 = C10×D4.S3φ: SD16/D4C2 ⊆ Aut C30240C30:12SD16480,812
C3013SD16 = C2×Q82D15φ: SD16/Q8C2 ⊆ Aut C30240C30:13SD16480,906
C3014SD16 = C6×Q8⋊D5φ: SD16/Q8C2 ⊆ Aut C30240C30:14SD16480,734
C3015SD16 = C10×Q82S3φ: SD16/Q8C2 ⊆ Aut C30240C30:15SD16480,820

Non-split extensions G=N.Q with N=C30 and Q=SD16
extensionφ:Q→Aut NdρLabelID
C30.1SD16 = C30.D8φ: SD16/C4C22 ⊆ Aut C30240C30.1SD16480,40
C30.2SD16 = C6.D40φ: SD16/C4C22 ⊆ Aut C30240C30.2SD16480,41
C30.3SD16 = D12⋊Dic5φ: SD16/C4C22 ⊆ Aut C30240C30.3SD16480,42
C30.4SD16 = C10.D24φ: SD16/C4C22 ⊆ Aut C30240C30.4SD16480,43
C30.5SD16 = D6012C4φ: SD16/C4C22 ⊆ Aut C30240C30.5SD16480,44
C30.6SD16 = D6015C4φ: SD16/C4C22 ⊆ Aut C30240C30.6SD16480,45
C30.7SD16 = C30.Q16φ: SD16/C4C22 ⊆ Aut C30480C30.7SD16480,46
C30.8SD16 = C6.Dic20φ: SD16/C4C22 ⊆ Aut C30480C30.8SD16480,47
C30.9SD16 = Dic6⋊Dic5φ: SD16/C4C22 ⊆ Aut C30480C30.9SD16480,48
C30.10SD16 = C10.Dic12φ: SD16/C4C22 ⊆ Aut C30480C30.10SD16480,49
C30.11SD16 = Dic3012C4φ: SD16/C4C22 ⊆ Aut C30480C30.11SD16480,50
C30.12SD16 = Dic3015C4φ: SD16/C4C22 ⊆ Aut C30480C30.12SD16480,51
C30.13SD16 = C60.7Q8φ: SD16/C4C22 ⊆ Aut C30480C30.13SD16480,61
C30.14SD16 = C30.SD16φ: SD16/C4C22 ⊆ Aut C30480C30.14SD16480,62
C30.15SD16 = C60.Q8φ: SD16/C4C22 ⊆ Aut C30480C30.15SD16480,63
C30.16SD16 = Dic308C4φ: SD16/C8C2 ⊆ Aut C30480C30.16SD16480,176
C30.17SD16 = C12010C4φ: SD16/C8C2 ⊆ Aut C30480C30.17SD16480,177
C30.18SD16 = D608C4φ: SD16/C8C2 ⊆ Aut C30240C30.18SD16480,181
C30.19SD16 = C3×C20.44D4φ: SD16/C8C2 ⊆ Aut C30480C30.19SD16480,94
C30.20SD16 = C3×C406C4φ: SD16/C8C2 ⊆ Aut C30480C30.20SD16480,95
C30.21SD16 = C3×D205C4φ: SD16/C8C2 ⊆ Aut C30240C30.21SD16480,99
C30.22SD16 = C5×C2.Dic12φ: SD16/C8C2 ⊆ Aut C30480C30.22SD16480,135
C30.23SD16 = C5×C8⋊Dic3φ: SD16/C8C2 ⊆ Aut C30480C30.23SD16480,136
C30.24SD16 = C5×C2.D24φ: SD16/C8C2 ⊆ Aut C30240C30.24SD16480,140
C30.25SD16 = C60.2Q8φ: SD16/D4C2 ⊆ Aut C30480C30.25SD16480,168
C30.26SD16 = Dic309C4φ: SD16/D4C2 ⊆ Aut C30480C30.26SD16480,170
C30.27SD16 = D4⋊Dic15φ: SD16/D4C2 ⊆ Aut C30240C30.27SD16480,192
C30.28SD16 = C3×C20.Q8φ: SD16/D4C2 ⊆ Aut C30480C30.28SD16480,86
C30.29SD16 = C3×C10.Q16φ: SD16/D4C2 ⊆ Aut C30480C30.29SD16480,88
C30.30SD16 = C3×D4⋊Dic5φ: SD16/D4C2 ⊆ Aut C30240C30.30SD16480,110
C30.31SD16 = C5×C6.SD16φ: SD16/D4C2 ⊆ Aut C30480C30.31SD16480,129
C30.32SD16 = C5×D4⋊Dic3φ: SD16/D4C2 ⊆ Aut C30240C30.32SD16480,151
C30.33SD16 = D609C4φ: SD16/Q8C2 ⊆ Aut C30240C30.33SD16480,169
C30.34SD16 = Q82Dic15φ: SD16/Q8C2 ⊆ Aut C30480C30.34SD16480,195
C30.35SD16 = C3×D206C4φ: SD16/Q8C2 ⊆ Aut C30240C30.35SD16480,87
C30.36SD16 = C3×Q8⋊Dic5φ: SD16/Q8C2 ⊆ Aut C30480C30.36SD16480,113
C30.37SD16 = C5×C12.Q8φ: SD16/Q8C2 ⊆ Aut C30480C30.37SD16480,127
C30.38SD16 = C5×C6.D8φ: SD16/Q8C2 ⊆ Aut C30240C30.38SD16480,128
C30.39SD16 = C5×Q82Dic3φ: SD16/Q8C2 ⊆ Aut C30480C30.39SD16480,154
C30.40SD16 = C15×D4⋊C4central extension (φ=1)240C30.40SD16480,205
C30.41SD16 = C15×Q8⋊C4central extension (φ=1)480C30.41SD16480,206
C30.42SD16 = C15×C4.Q8central extension (φ=1)480C30.42SD16480,209

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