Extensions 1→N→G→Q→1 with N=D4×C30 and Q=C2

Direct product G=N×Q with N=D4×C30 and Q=C2
dρLabelID
D4×C2×C30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=D4×C30 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C30)⋊1C2 = C2×D4⋊D15φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):1C2480,896
(D4×C30)⋊2C2 = D4.D30φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30):2C2480,897
(D4×C30)⋊3C2 = C602D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):3C2480,903
(D4×C30)⋊4C2 = C603D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):4C2480,905
(D4×C30)⋊5C2 = C2×D4×D15φ: C2/C1C2 ⊆ Out D4×C30120(D4xC30):5C2480,1169
(D4×C30)⋊6C2 = C2×D42D15φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):6C2480,1170
(D4×C30)⋊7C2 = D46D30φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30):7C2480,1171
(D4×C30)⋊8C2 = C6×D4⋊D5φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):8C2480,724
(D4×C30)⋊9C2 = C3×D4.D10φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30):9C2480,725
(D4×C30)⋊10C2 = C3×C202D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):10C2480,731
(D4×C30)⋊11C2 = C3×C20⋊D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):11C2480,733
(D4×C30)⋊12C2 = C6×D4×D5φ: C2/C1C2 ⊆ Out D4×C30120(D4xC30):12C2480,1139
(D4×C30)⋊13C2 = C6×D42D5φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):13C2480,1140
(D4×C30)⋊14C2 = C3×D46D10φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30):14C2480,1141
(D4×C30)⋊15C2 = C10×D4⋊S3φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):15C2480,810
(D4×C30)⋊16C2 = C5×D126C22φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30):16C2480,811
(D4×C30)⋊17C2 = C5×D63D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):17C2480,817
(D4×C30)⋊18C2 = C5×C123D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):18C2480,819
(D4×C30)⋊19C2 = S3×D4×C10φ: C2/C1C2 ⊆ Out D4×C30120(D4xC30):19C2480,1154
(D4×C30)⋊20C2 = C10×D42S3φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):20C2480,1155
(D4×C30)⋊21C2 = C5×D46D6φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30):21C2480,1156
(D4×C30)⋊22C2 = C3×C23⋊D10φ: C2/C1C2 ⊆ Out D4×C30120(D4xC30):22C2480,730
(D4×C30)⋊23C2 = C3×Dic5⋊D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):23C2480,732
(D4×C30)⋊24C2 = C5×C232D6φ: C2/C1C2 ⊆ Out D4×C30120(D4xC30):24C2480,816
(D4×C30)⋊25C2 = C5×C23.14D6φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):25C2480,818
(D4×C30)⋊26C2 = D3017D4φ: C2/C1C2 ⊆ Out D4×C30120(D4xC30):26C2480,902
(D4×C30)⋊27C2 = Dic1512D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):27C2480,904
(D4×C30)⋊28C2 = C15×C22≀C2φ: C2/C1C2 ⊆ Out D4×C30120(D4xC30):28C2480,925
(D4×C30)⋊29C2 = C15×C4⋊D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):29C2480,926
(D4×C30)⋊30C2 = C15×C41D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):30C2480,932
(D4×C30)⋊31C2 = D8×C30φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30):31C2480,937
(D4×C30)⋊32C2 = C15×C8⋊C22φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30):32C2480,941
(D4×C30)⋊33C2 = C15×2+ 1+4φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30):33C2480,1184
(D4×C30)⋊34C2 = C4○D4×C30φ: trivial image240(D4xC30):34C2480,1183

Non-split extensions G=N.Q with N=D4×C30 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C30).1C2 = D4⋊Dic15φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).1C2480,192
(D4×C30).2C2 = C60.8D4φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30).2C2480,193
(D4×C30).3C2 = C2×D4.D15φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).3C2480,898
(D4×C30).4C2 = D4×Dic15φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).4C2480,899
(D4×C30).5C2 = C60.17D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).5C2480,901
(D4×C30).6C2 = C3×D4⋊Dic5φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).6C2480,110
(D4×C30).7C2 = C3×C20.D4φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30).7C2480,111
(D4×C30).8C2 = C6×D4.D5φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).8C2480,726
(D4×C30).9C2 = C3×D4×Dic5φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).9C2480,727
(D4×C30).10C2 = C3×C20.17D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).10C2480,729
(D4×C30).11C2 = C5×D4⋊Dic3φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).11C2480,151
(D4×C30).12C2 = C5×C12.D4φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30).12C2480,152
(D4×C30).13C2 = C10×D4.S3φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).13C2480,812
(D4×C30).14C2 = C5×D4×Dic3φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).14C2480,813
(D4×C30).15C2 = C5×C23.12D6φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).15C2480,815
(D4×C30).16C2 = C3×C23⋊Dic5φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30).16C2480,112
(D4×C30).17C2 = C5×C23.7D6φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30).17C2480,153
(D4×C30).18C2 = C23.7D30φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30).18C2480,194
(D4×C30).19C2 = C15×C23⋊C4φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30).19C2480,202
(D4×C30).20C2 = C15×C4.D4φ: C2/C1C2 ⊆ Out D4×C301204(D4xC30).20C2480,203
(D4×C30).21C2 = C15×D4⋊C4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).21C2480,205
(D4×C30).22C2 = C3×C23.18D10φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).22C2480,728
(D4×C30).23C2 = C5×C23.23D6φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).23C2480,814
(D4×C30).24C2 = C23.22D30φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).24C2480,900
(D4×C30).25C2 = C15×C22.D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).25C2480,928
(D4×C30).26C2 = C15×C4.4D4φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).26C2480,929
(D4×C30).27C2 = SD16×C30φ: C2/C1C2 ⊆ Out D4×C30240(D4xC30).27C2480,938
(D4×C30).28C2 = D4×C60φ: trivial image240(D4xC30).28C2480,923

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