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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=D30

Direct product G=N×Q with N=C2×C4 and Q=D30
dρLabelID
C22×C4×D15240C2^2xC4xD15480,1166

Semidirect products G=N:Q with N=C2×C4 and Q=D30
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1D30 = D30⋊16D4φ: D30/C15 → C22 ⊆ Aut C2×C4120(C2xC4):1D30480,847
(C2×C4)⋊2D30 = D30⋊17D4φ: D30/C15 → C22 ⊆ Aut C2×C4120(C2xC4):2D30480,902
(C2×C4)⋊3D30 = D4⋊6D30φ: D30/C15 → C22 ⊆ Aut C2×C41204(C2xC4):3D30480,1171
(C2×C4)⋊4D30 = D4⋊8D30φ: D30/C15 → C22 ⊆ Aut C2×C41204+(C2xC4):4D30480,1176
(C2×C4)⋊5D30 = C22⋊C4×D15φ: D30/D15 → C2 ⊆ Aut C2×C4120(C2xC4):5D30480,845
(C2×C4)⋊6D30 = C2×D4×D15φ: D30/D15 → C2 ⊆ Aut C2×C4120(C2xC4):6D30480,1169
(C2×C4)⋊7D30 = C4○D4×D15φ: D30/D15 → C2 ⊆ Aut C2×C41204(C2xC4):7D30480,1175
(C2×C4)⋊8D30 = C2×D30⋊3C4φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4):8D30480,892
(C2×C4)⋊9D30 = C22×D60φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4):9D30480,1167
(C2×C4)⋊10D30 = C2×D60⋊11C2φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4):10D30480,1168

Non-split extensions G=N.Q with N=C2×C4 and Q=D30
extensionφ:Q→Aut NdρLabelID
(C2×C4).1D30 = M4(2)⋊D15φ: D30/C15 → C22 ⊆ Aut C2×C41204+(C2xC4).1D30480,183
(C2×C4).2D30 = C4.D60φ: D30/C15 → C22 ⊆ Aut C2×C42404-(C2xC4).2D30480,184
(C2×C4).3D30 = C60.8D4φ: D30/C15 → C22 ⊆ Aut C2×C41204(C2xC4).3D30480,193
(C2×C4).4D30 = C60.10D4φ: D30/C15 → C22 ⊆ Aut C2×C42404(C2xC4).4D30480,196
(C2×C4).5D30 = C22⋊2Dic30φ: D30/C15 → C22 ⊆ Aut C2×C4240(C2xC4).5D30480,843
(C2×C4).6D30 = D30.28D4φ: D30/C15 → C22 ⊆ Aut C2×C4240(C2xC4).6D30480,848
(C2×C4).7D30 = D30⋊9D4φ: D30/C15 → C22 ⊆ Aut C2×C4240(C2xC4).7D30480,849
(C2×C4).8D30 = C23.11D30φ: D30/C15 → C22 ⊆ Aut C2×C4240(C2xC4).8D30480,850
(C2×C4).9D30 = C22.D60φ: D30/C15 → C22 ⊆ Aut C2×C4240(C2xC4).9D30480,851
(C2×C4).10D30 = C4⋊Dic30φ: D30/C15 → C22 ⊆ Aut C2×C4480(C2xC4).10D30480,853
(C2×C4).11D30 = Dic15.3Q8φ: D30/C15 → C22 ⊆ Aut C2×C4480(C2xC4).11D30480,854
(C2×C4).12D30 = D30.29D4φ: D30/C15 → C22 ⊆ Aut C2×C4240(C2xC4).12D30480,859
(C2×C4).13D30 = D30⋊5Q8φ: D30/C15 → C22 ⊆ Aut C2×C4240(C2xC4).13D30480,861
(C2×C4).14D30 = C8⋊D30φ: D30/C15 → C22 ⊆ Aut C2×C41204+(C2xC4).14D30480,873
(C2×C4).15D30 = C8.D30φ: D30/C15 → C22 ⊆ Aut C2×C42404-(C2xC4).15D30480,874
(C2×C4).16D30 = D4.D30φ: D30/C15 → C22 ⊆ Aut C2×C41204(C2xC4).16D30480,897
(C2×C4).17D30 = C23.22D30φ: D30/C15 → C22 ⊆ Aut C2×C4240(C2xC4).17D30480,900
(C2×C4).18D30 = Dic15⋊12D4φ: D30/C15 → C22 ⊆ Aut C2×C4240(C2xC4).18D30480,904
(C2×C4).19D30 = Q8.11D30φ: D30/C15 → C22 ⊆ Aut C2×C42404(C2xC4).19D30480,907
(C2×C4).20D30 = Dic15⋊4Q8φ: D30/C15 → C22 ⊆ Aut C2×C4480(C2xC4).20D30480,909
(C2×C4).21D30 = D4⋊D30φ: D30/C15 → C22 ⊆ Aut C2×C41204+(C2xC4).21D30480,914
(C2×C4).22D30 = D4.9D30φ: D30/C15 → C22 ⊆ Aut C2×C42404-(C2xC4).22D30480,916
(C2×C4).23D30 = Q8.15D30φ: D30/C15 → C22 ⊆ Aut C2×C42404(C2xC4).23D30480,1174
(C2×C4).24D30 = D4.10D30φ: D30/C15 → C22 ⊆ Aut C2×C42404-(C2xC4).24D30480,1177
(C2×C4).25D30 = C23.15D30φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).25D30480,842
(C2×C4).26D30 = C23.8D30φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).26D30480,844
(C2×C4).27D30 = Dic15⋊19D4φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).27D30480,846
(C2×C4).28D30 = Dic15⋊10Q8φ: D30/D15 → C2 ⊆ Aut C2×C4480(C2xC4).28D30480,852
(C2×C4).29D30 = C4⋊C4×D15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).29D30480,856
(C2×C4).30D30 = D60⋊11C4φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).30D30480,858
(C2×C4).31D30 = C4⋊C4⋊D15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).31D30480,863
(C2×C4).32D30 = C60.1Q8φ: D30/D15 → C2 ⊆ Aut C2×C4480(C2xC4).32D30480,167
(C2×C4).33D30 = C60.2Q8φ: D30/D15 → C2 ⊆ Aut C2×C4480(C2xC4).33D30480,168
(C2×C4).34D30 = D60⋊9C4φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).34D30480,169
(C2×C4).35D30 = Dic30⋊9C4φ: D30/D15 → C2 ⊆ Aut C2×C4480(C2xC4).35D30480,170
(C2×C4).36D30 = C60.210D4φ: D30/D15 → C2 ⊆ Aut C2×C42404(C2xC4).36D30480,182
(C2×C4).37D30 = D60⋊10C4φ: D30/D15 → C2 ⊆ Aut C2×C41204(C2xC4).37D30480,185
(C2×C4).38D30 = D4⋊Dic15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).38D30480,192
(C2×C4).39D30 = Q8⋊2Dic15φ: D30/D15 → C2 ⊆ Aut C2×C4480(C2xC4).39D30480,195
(C2×C4).40D30 = Q8⋊3Dic15φ: D30/D15 → C2 ⊆ Aut C2×C41204(C2xC4).40D30480,197
(C2×C4).41D30 = C4.Dic30φ: D30/D15 → C2 ⊆ Aut C2×C4480(C2xC4).41D30480,855
(C2×C4).42D30 = C4⋊C4⋊7D15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).42D30480,857
(C2×C4).43D30 = C4⋊D60φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).43D30480,860
(C2×C4).44D30 = D30⋊6Q8φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).44D30480,862
(C2×C4).45D30 = M4(2)×D15φ: D30/D15 → C2 ⊆ Aut C2×C41204(C2xC4).45D30480,871
(C2×C4).46D30 = D60.3C4φ: D30/D15 → C2 ⊆ Aut C2×C42404(C2xC4).46D30480,872
(C2×C4).47D30 = C2×D4⋊D15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).47D30480,896
(C2×C4).48D30 = C2×D4.D15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).48D30480,898
(C2×C4).49D30 = D4×Dic15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).49D30480,899
(C2×C4).50D30 = C60.17D4φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).50D30480,901
(C2×C4).51D30 = C60⋊2D4φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).51D30480,903
(C2×C4).52D30 = C60⋊3D4φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).52D30480,905
(C2×C4).53D30 = C2×Q8⋊2D15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).53D30480,906
(C2×C4).54D30 = C2×C15⋊7Q16φ: D30/D15 → C2 ⊆ Aut C2×C4480(C2xC4).54D30480,908
(C2×C4).55D30 = Q8×Dic15φ: D30/D15 → C2 ⊆ Aut C2×C4480(C2xC4).55D30480,910
(C2×C4).56D30 = D30⋊7Q8φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).56D30480,911
(C2×C4).57D30 = C60.23D4φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).57D30480,912
(C2×C4).58D30 = D4.Dic15φ: D30/D15 → C2 ⊆ Aut C2×C42404(C2xC4).58D30480,913
(C2×C4).59D30 = D4.8D30φ: D30/D15 → C2 ⊆ Aut C2×C42404(C2xC4).59D30480,915
(C2×C4).60D30 = C2×D4⋊2D15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).60D30480,1170
(C2×C4).61D30 = C2×Q8×D15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).61D30480,1172
(C2×C4).62D30 = C2×Q8⋊3D15φ: D30/D15 → C2 ⊆ Aut C2×C4240(C2xC4).62D30480,1173
(C2×C4).63D30 = C60.24Q8φ: D30/C30 → C2 ⊆ Aut C2×C4480(C2xC4).63D30480,835
(C2×C4).64D30 = C42⋊7D15φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).64D30480,840
(C2×C4).65D30 = C42⋊3D15φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).65D30480,841
(C2×C4).66D30 = C2×C30.4Q8φ: D30/C30 → C2 ⊆ Aut C2×C4480(C2xC4).66D30480,888
(C2×C4).67D30 = C4×C15⋊7D4φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).67D30480,893
(C2×C4).68D30 = C23.28D30φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).68D30480,894
(C2×C4).69D30 = D60⋊7C4φ: D30/C30 → C2 ⊆ Aut C2×C41202(C2xC4).69D30480,165
(C2×C4).70D30 = Dic30⋊8C4φ: D30/C30 → C2 ⊆ Aut C2×C4480(C2xC4).70D30480,176
(C2×C4).71D30 = C120⋊10C4φ: D30/C30 → C2 ⊆ Aut C2×C4480(C2xC4).71D30480,177
(C2×C4).72D30 = C120⋊9C4φ: D30/C30 → C2 ⊆ Aut C2×C4480(C2xC4).72D30480,178
(C2×C4).73D30 = C4.18D60φ: D30/C30 → C2 ⊆ Aut C2×C42402(C2xC4).73D30480,179
(C2×C4).74D30 = D60⋊8C4φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).74D30480,181
(C2×C4).75D30 = C4×Dic30φ: D30/C30 → C2 ⊆ Aut C2×C4480(C2xC4).75D30480,833
(C2×C4).76D30 = C60⋊8Q8φ: D30/C30 → C2 ⊆ Aut C2×C4480(C2xC4).76D30480,834
(C2×C4).77D30 = C4×D60φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).77D30480,838
(C2×C4).78D30 = C42⋊6D15φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).78D30480,839
(C2×C4).79D30 = D60.6C4φ: D30/C30 → C2 ⊆ Aut C2×C42402(C2xC4).79D30480,866
(C2×C4).80D30 = C2×C24⋊D5φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).80D30480,867
(C2×C4).81D30 = C2×D120φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).81D30480,868
(C2×C4).82D30 = C40.69D6φ: D30/C30 → C2 ⊆ Aut C2×C42402(C2xC4).82D30480,869
(C2×C4).83D30 = C2×Dic60φ: D30/C30 → C2 ⊆ Aut C2×C4480(C2xC4).83D30480,870
(C2×C4).84D30 = C60.205D4φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).84D30480,889
(C2×C4).85D30 = C2×C60⋊5C4φ: D30/C30 → C2 ⊆ Aut C2×C4480(C2xC4).85D30480,890
(C2×C4).86D30 = C60⋊29D4φ: D30/C30 → C2 ⊆ Aut C2×C4240(C2xC4).86D30480,895
(C2×C4).87D30 = C22×Dic30φ: D30/C30 → C2 ⊆ Aut C2×C4480(C2xC4).87D30480,1165
(C2×C4).88D30 = C4×C15⋊3C8central extension (φ=1)480(C2xC4).88D30480,162
(C2×C4).89D30 = C42.D15central extension (φ=1)480(C2xC4).89D30480,163
(C2×C4).90D30 = C60⋊5C8central extension (φ=1)480(C2xC4).90D30480,164
(C2×C4).91D30 = C8×Dic15central extension (φ=1)480(C2xC4).91D30480,173
(C2×C4).92D30 = C60.26Q8central extension (φ=1)480(C2xC4).92D30480,174
(C2×C4).93D30 = C120⋊13C4central extension (φ=1)480(C2xC4).93D30480,175
(C2×C4).94D30 = D30⋊3C8central extension (φ=1)240(C2xC4).94D30480,180
(C2×C4).95D30 = C60.212D4central extension (φ=1)240(C2xC4).95D30480,190
(C2×C4).96D30 = C42×D15central extension (φ=1)240(C2xC4).96D30480,836
(C2×C4).97D30 = C42⋊2D15central extension (φ=1)240(C2xC4).97D30480,837
(C2×C4).98D30 = C2×C8×D15central extension (φ=1)240(C2xC4).98D30480,864
(C2×C4).99D30 = C2×C40⋊S3central extension (φ=1)240(C2xC4).99D30480,865
(C2×C4).100D30 = C22×C15⋊3C8central extension (φ=1)480(C2xC4).100D30480,885
(C2×C4).101D30 = C2×C60.7C4central extension (φ=1)240(C2xC4).101D30480,886
(C2×C4).102D30 = C2×C4×Dic15central extension (φ=1)480(C2xC4).102D30480,887
(C2×C4).103D30 = C23.26D30central extension (φ=1)240(C2xC4).103D30480,891

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