Extensions 1→N→G→Q→1 with N=C2xC10 and Q=C4xS3

Direct product G=NxQ with N=C2xC10 and Q=C4xS3
dρLabelID
S3xC22xC20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=C2xC10 and Q=C4xS3
extensionφ:Q→Aut NdρLabelID
(C2xC10):(C4xS3) = F5xS4φ: C4xS3/C1C4xS3 ⊆ Aut C2xC102012+(C2xC10):(C4xS3)480,1189
(C2xC10):2(C4xS3) = Dic5xS4φ: C4xS3/C2D6 ⊆ Aut C2xC10606-(C2xC10):2(C4xS3)480,976
(C2xC10):3(C4xS3) = Dic5:2S4φ: C4xS3/C2D6 ⊆ Aut C2xC10606(C2xC10):3(C4xS3)480,977
(C2xC10):4(C4xS3) = F5xC3:D4φ: C4xS3/C3C2xC4 ⊆ Aut C2xC10608(C2xC10):4(C4xS3)480,1010
(C2xC10):5(C4xS3) = C3:D4:F5φ: C4xS3/C3C2xC4 ⊆ Aut C2xC10608(C2xC10):5(C4xS3)480,1012
(C2xC10):6(C4xS3) = C20xS4φ: C4xS3/C4S3 ⊆ Aut C2xC10603(C2xC10):6(C4xS3)480,1014
(C2xC10):7(C4xS3) = C4xC5:S4φ: C4xS3/C4S3 ⊆ Aut C2xC10606(C2xC10):7(C4xS3)480,1025
(C2xC10):8(C4xS3) = S3xC22:F5φ: C4xS3/S3C4 ⊆ Aut C2xC10608+(C2xC10):8(C4xS3)480,1011
(C2xC10):9(C4xS3) = C22xS3xF5φ: C4xS3/S3C4 ⊆ Aut C2xC1060(C2xC10):9(C4xS3)480,1197
(C2xC10):10(C4xS3) = Dic5xC3:D4φ: C4xS3/C6C22 ⊆ Aut C2xC10240(C2xC10):10(C4xS3)480,627
(C2xC10):11(C4xS3) = C15:26(C4xD4)φ: C4xS3/C6C22 ⊆ Aut C2xC10240(C2xC10):11(C4xS3)480,628
(C2xC10):12(C4xS3) = Dic15:17D4φ: C4xS3/C6C22 ⊆ Aut C2xC10240(C2xC10):12(C4xS3)480,636
(C2xC10):13(C4xS3) = D30.45D4φ: C4xS3/C6C22 ⊆ Aut C2xC10120(C2xC10):13(C4xS3)480,637
(C2xC10):14(C4xS3) = C22:C4xD15φ: C4xS3/C6C22 ⊆ Aut C2xC10120(C2xC10):14(C4xS3)480,845
(C2xC10):15(C4xS3) = Dic15:19D4φ: C4xS3/C6C22 ⊆ Aut C2xC10240(C2xC10):15(C4xS3)480,846
(C2xC10):16(C4xS3) = C5xDic3:4D4φ: C4xS3/Dic3C2 ⊆ Aut C2xC10240(C2xC10):16(C4xS3)480,760
(C2xC10):17(C4xS3) = C15:28(C4xD4)φ: C4xS3/Dic3C2 ⊆ Aut C2xC10240(C2xC10):17(C4xS3)480,632
(C2xC10):18(C4xS3) = C22xD30.C2φ: C4xS3/Dic3C2 ⊆ Aut C2xC10240(C2xC10):18(C4xS3)480,1117
(C2xC10):19(C4xS3) = C20xC3:D4φ: C4xS3/C12C2 ⊆ Aut C2xC10240(C2xC10):19(C4xS3)480,807
(C2xC10):20(C4xS3) = C4xC15:7D4φ: C4xS3/C12C2 ⊆ Aut C2xC10240(C2xC10):20(C4xS3)480,893
(C2xC10):21(C4xS3) = C22xC4xD15φ: C4xS3/C12C2 ⊆ Aut C2xC10240(C2xC10):21(C4xS3)480,1166
(C2xC10):22(C4xS3) = C5xS3xC22:C4φ: C4xS3/D6C2 ⊆ Aut C2xC10120(C2xC10):22(C4xS3)480,759
(C2xC10):23(C4xS3) = S3xC23.D5φ: C4xS3/D6C2 ⊆ Aut C2xC10120(C2xC10):23(C4xS3)480,630
(C2xC10):24(C4xS3) = C22xS3xDic5φ: C4xS3/D6C2 ⊆ Aut C2xC10240(C2xC10):24(C4xS3)480,1115

Non-split extensions G=N.Q with N=C2xC10 and Q=C4xS3
extensionφ:Q→Aut NdρLabelID
(C2xC10).1(C4xS3) = C5:C8.D6φ: C4xS3/C3C2xC4 ⊆ Aut C2xC102408(C2xC10).1(C4xS3)480,1003
(C2xC10).2(C4xS3) = D15:C8:C2φ: C4xS3/C3C2xC4 ⊆ Aut C2xC102408(C2xC10).2(C4xS3)480,1005
(C2xC10).3(C4xS3) = D10.20D12φ: C4xS3/S3C4 ⊆ Aut C2xC10120(C2xC10).3(C4xS3)480,243
(C2xC10).4(C4xS3) = Dic3xC5:C8φ: C4xS3/S3C4 ⊆ Aut C2xC10480(C2xC10).4(C4xS3)480,244
(C2xC10).5(C4xS3) = C30.M4(2)φ: C4xS3/S3C4 ⊆ Aut C2xC10480(C2xC10).5(C4xS3)480,245
(C2xC10).6(C4xS3) = Dic5.22D12φ: C4xS3/S3C4 ⊆ Aut C2xC10240(C2xC10).6(C4xS3)480,246
(C2xC10).7(C4xS3) = D30:C8φ: C4xS3/S3C4 ⊆ Aut C2xC10240(C2xC10).7(C4xS3)480,247
(C2xC10).8(C4xS3) = D10.D12φ: C4xS3/S3C4 ⊆ Aut C2xC101208-(C2xC10).8(C4xS3)480,248
(C2xC10).9(C4xS3) = D10.4D12φ: C4xS3/S3C4 ⊆ Aut C2xC101208+(C2xC10).9(C4xS3)480,249
(C2xC10).10(C4xS3) = Dic5.D12φ: C4xS3/S3C4 ⊆ Aut C2xC101208+(C2xC10).10(C4xS3)480,250
(C2xC10).11(C4xS3) = Dic5.4D12φ: C4xS3/S3C4 ⊆ Aut C2xC102408-(C2xC10).11(C4xS3)480,251
(C2xC10).12(C4xS3) = C30.4M4(2)φ: C4xS3/S3C4 ⊆ Aut C2xC10480(C2xC10).12(C4xS3)480,252
(C2xC10).13(C4xS3) = Dic15:C8φ: C4xS3/S3C4 ⊆ Aut C2xC10480(C2xC10).13(C4xS3)480,253
(C2xC10).14(C4xS3) = C2xDic3xF5φ: C4xS3/S3C4 ⊆ Aut C2xC10120(C2xC10).14(C4xS3)480,998
(C2xC10).15(C4xS3) = C22:F5.S3φ: C4xS3/S3C4 ⊆ Aut C2xC101208-(C2xC10).15(C4xS3)480,999
(C2xC10).16(C4xS3) = C2xD6:F5φ: C4xS3/S3C4 ⊆ Aut C2xC10120(C2xC10).16(C4xS3)480,1000
(C2xC10).17(C4xS3) = C2xDic3:F5φ: C4xS3/S3C4 ⊆ Aut C2xC10120(C2xC10).17(C4xS3)480,1001
(C2xC10).18(C4xS3) = C2xS3xC5:C8φ: C4xS3/S3C4 ⊆ Aut C2xC10240(C2xC10).18(C4xS3)480,1002
(C2xC10).19(C4xS3) = S3xC22.F5φ: C4xS3/S3C4 ⊆ Aut C2xC101208-(C2xC10).19(C4xS3)480,1004
(C2xC10).20(C4xS3) = C2xD15:C8φ: C4xS3/S3C4 ⊆ Aut C2xC10240(C2xC10).20(C4xS3)480,1006
(C2xC10).21(C4xS3) = D15:2M4(2)φ: C4xS3/S3C4 ⊆ Aut C2xC101208+(C2xC10).21(C4xS3)480,1007
(C2xC10).22(C4xS3) = C2xD6.F5φ: C4xS3/S3C4 ⊆ Aut C2xC10240(C2xC10).22(C4xS3)480,1008
(C2xC10).23(C4xS3) = C2xDic3.F5φ: C4xS3/S3C4 ⊆ Aut C2xC10240(C2xC10).23(C4xS3)480,1009
(C2xC10).24(C4xS3) = C60.29D4φ: C4xS3/C6C22 ⊆ Aut C2xC101204+(C2xC10).24(C4xS3)480,36
(C2xC10).25(C4xS3) = C60.31D4φ: C4xS3/C6C22 ⊆ Aut C2xC102404-(C2xC10).25(C4xS3)480,39
(C2xC10).26(C4xS3) = C15:9(C23:C4)φ: C4xS3/C6C22 ⊆ Aut C2xC101204(C2xC10).26(C4xS3)480,73
(C2xC10).27(C4xS3) = C23.6D30φ: C4xS3/C6C22 ⊆ Aut C2xC101204(C2xC10).27(C4xS3)480,166
(C2xC10).28(C4xS3) = M4(2):D15φ: C4xS3/C6C22 ⊆ Aut C2xC101204+(C2xC10).28(C4xS3)480,183
(C2xC10).29(C4xS3) = C4.D60φ: C4xS3/C6C22 ⊆ Aut C2xC102404-(C2xC10).29(C4xS3)480,184
(C2xC10).30(C4xS3) = D12.2Dic5φ: C4xS3/C6C22 ⊆ Aut C2xC102404(C2xC10).30(C4xS3)480,362
(C2xC10).31(C4xS3) = D12.Dic5φ: C4xS3/C6C22 ⊆ Aut C2xC102404(C2xC10).31(C4xS3)480,364
(C2xC10).32(C4xS3) = D60.5C4φ: C4xS3/C6C22 ⊆ Aut C2xC102404(C2xC10).32(C4xS3)480,366
(C2xC10).33(C4xS3) = D15:4M4(2)φ: C4xS3/C6C22 ⊆ Aut C2xC101204(C2xC10).33(C4xS3)480,368
(C2xC10).34(C4xS3) = C23.48(S3xD5)φ: C4xS3/C6C22 ⊆ Aut C2xC10240(C2xC10).34(C4xS3)480,608
(C2xC10).35(C4xS3) = C23.15D30φ: C4xS3/C6C22 ⊆ Aut C2xC10240(C2xC10).35(C4xS3)480,842
(C2xC10).36(C4xS3) = M4(2)xD15φ: C4xS3/C6C22 ⊆ Aut C2xC101204(C2xC10).36(C4xS3)480,871
(C2xC10).37(C4xS3) = D60.3C4φ: C4xS3/C6C22 ⊆ Aut C2xC102404(C2xC10).37(C4xS3)480,872
(C2xC10).38(C4xS3) = C5xD12.C4φ: C4xS3/Dic3C2 ⊆ Aut C2xC102404(C2xC10).38(C4xS3)480,786
(C2xC10).39(C4xS3) = Dic15:4C8φ: C4xS3/Dic3C2 ⊆ Aut C2xC10480(C2xC10).39(C4xS3)480,27
(C2xC10).40(C4xS3) = C30.23C42φ: C4xS3/Dic3C2 ⊆ Aut C2xC10480(C2xC10).40(C4xS3)480,30
(C2xC10).41(C4xS3) = D30:4C8φ: C4xS3/Dic3C2 ⊆ Aut C2xC10240(C2xC10).41(C4xS3)480,33
(C2xC10).42(C4xS3) = C60.14Q8φ: C4xS3/Dic3C2 ⊆ Aut C2xC10480(C2xC10).42(C4xS3)480,59
(C2xC10).43(C4xS3) = C30.24C42φ: C4xS3/Dic3C2 ⊆ Aut C2xC10480(C2xC10).43(C4xS3)480,70
(C2xC10).44(C4xS3) = C2xD15:2C8φ: C4xS3/Dic3C2 ⊆ Aut C2xC10240(C2xC10).44(C4xS3)480,365
(C2xC10).45(C4xS3) = D60.4C4φ: C4xS3/Dic3C2 ⊆ Aut C2xC102404(C2xC10).45(C4xS3)480,367
(C2xC10).46(C4xS3) = C2xD30.5C4φ: C4xS3/Dic3C2 ⊆ Aut C2xC10240(C2xC10).46(C4xS3)480,371
(C2xC10).47(C4xS3) = C2xDic3xDic5φ: C4xS3/Dic3C2 ⊆ Aut C2xC10480(C2xC10).47(C4xS3)480,603
(C2xC10).48(C4xS3) = C2xD30:4C4φ: C4xS3/Dic3C2 ⊆ Aut C2xC10240(C2xC10).48(C4xS3)480,616
(C2xC10).49(C4xS3) = C2xDic15:5C4φ: C4xS3/Dic3C2 ⊆ Aut C2xC10480(C2xC10).49(C4xS3)480,620
(C2xC10).50(C4xS3) = C5xC8oD12φ: C4xS3/C12C2 ⊆ Aut C2xC102402(C2xC10).50(C4xS3)480,780
(C2xC10).51(C4xS3) = C8xDic15φ: C4xS3/C12C2 ⊆ Aut C2xC10480(C2xC10).51(C4xS3)480,173
(C2xC10).52(C4xS3) = C60.26Q8φ: C4xS3/C12C2 ⊆ Aut C2xC10480(C2xC10).52(C4xS3)480,174
(C2xC10).53(C4xS3) = C120:13C4φ: C4xS3/C12C2 ⊆ Aut C2xC10480(C2xC10).53(C4xS3)480,175
(C2xC10).54(C4xS3) = D30:3C8φ: C4xS3/C12C2 ⊆ Aut C2xC10240(C2xC10).54(C4xS3)480,180
(C2xC10).55(C4xS3) = C30.29C42φ: C4xS3/C12C2 ⊆ Aut C2xC10480(C2xC10).55(C4xS3)480,191
(C2xC10).56(C4xS3) = C2xC8xD15φ: C4xS3/C12C2 ⊆ Aut C2xC10240(C2xC10).56(C4xS3)480,864
(C2xC10).57(C4xS3) = C2xC40:S3φ: C4xS3/C12C2 ⊆ Aut C2xC10240(C2xC10).57(C4xS3)480,865
(C2xC10).58(C4xS3) = D60.6C4φ: C4xS3/C12C2 ⊆ Aut C2xC102402(C2xC10).58(C4xS3)480,866
(C2xC10).59(C4xS3) = C2xC4xDic15φ: C4xS3/C12C2 ⊆ Aut C2xC10480(C2xC10).59(C4xS3)480,887
(C2xC10).60(C4xS3) = C2xC30.4Q8φ: C4xS3/C12C2 ⊆ Aut C2xC10480(C2xC10).60(C4xS3)480,888
(C2xC10).61(C4xS3) = C2xD30:3C4φ: C4xS3/C12C2 ⊆ Aut C2xC10240(C2xC10).61(C4xS3)480,892
(C2xC10).62(C4xS3) = C5xC23.6D6φ: C4xS3/D6C2 ⊆ Aut C2xC101204(C2xC10).62(C4xS3)480,125
(C2xC10).63(C4xS3) = C5xC12.46D4φ: C4xS3/D6C2 ⊆ Aut C2xC101204(C2xC10).63(C4xS3)480,142
(C2xC10).64(C4xS3) = C5xC12.47D4φ: C4xS3/D6C2 ⊆ Aut C2xC102404(C2xC10).64(C4xS3)480,143
(C2xC10).65(C4xS3) = C5xC23.16D6φ: C4xS3/D6C2 ⊆ Aut C2xC10240(C2xC10).65(C4xS3)480,756
(C2xC10).66(C4xS3) = C5xS3xM4(2)φ: C4xS3/D6C2 ⊆ Aut C2xC101204(C2xC10).66(C4xS3)480,785
(C2xC10).67(C4xS3) = Dic3xC5:2C8φ: C4xS3/D6C2 ⊆ Aut C2xC10480(C2xC10).67(C4xS3)480,26
(C2xC10).68(C4xS3) = C30.22C42φ: C4xS3/D6C2 ⊆ Aut C2xC10480(C2xC10).68(C4xS3)480,29
(C2xC10).69(C4xS3) = C60.94D4φ: C4xS3/D6C2 ⊆ Aut C2xC10240(C2xC10).69(C4xS3)480,32
(C2xC10).70(C4xS3) = C20.5D12φ: C4xS3/D6C2 ⊆ Aut C2xC101204(C2xC10).70(C4xS3)480,35
(C2xC10).71(C4xS3) = C60.54D4φ: C4xS3/D6C2 ⊆ Aut C2xC102404(C2xC10).71(C4xS3)480,38
(C2xC10).72(C4xS3) = C60.15Q8φ: C4xS3/D6C2 ⊆ Aut C2xC10480(C2xC10).72(C4xS3)480,60
(C2xC10).73(C4xS3) = C15:8(C23:C4)φ: C4xS3/D6C2 ⊆ Aut C2xC101204(C2xC10).73(C4xS3)480,72
(C2xC10).74(C4xS3) = C2xS3xC5:2C8φ: C4xS3/D6C2 ⊆ Aut C2xC10240(C2xC10).74(C4xS3)480,361
(C2xC10).75(C4xS3) = S3xC4.Dic5φ: C4xS3/D6C2 ⊆ Aut C2xC101204(C2xC10).75(C4xS3)480,363
(C2xC10).76(C4xS3) = C2xD6.Dic5φ: C4xS3/D6C2 ⊆ Aut C2xC10240(C2xC10).76(C4xS3)480,370
(C2xC10).77(C4xS3) = C23.26(S3xD5)φ: C4xS3/D6C2 ⊆ Aut C2xC10240(C2xC10).77(C4xS3)480,605
(C2xC10).78(C4xS3) = C2xD6:Dic5φ: C4xS3/D6C2 ⊆ Aut C2xC10240(C2xC10).78(C4xS3)480,614
(C2xC10).79(C4xS3) = C2xC6.Dic10φ: C4xS3/D6C2 ⊆ Aut C2xC10480(C2xC10).79(C4xS3)480,621
(C2xC10).80(C4xS3) = Dic3xC40central extension (φ=1)480(C2xC10).80(C4xS3)480,132
(C2xC10).81(C4xS3) = C5xDic3:C8central extension (φ=1)480(C2xC10).81(C4xS3)480,133
(C2xC10).82(C4xS3) = C5xC24:C4central extension (φ=1)480(C2xC10).82(C4xS3)480,134
(C2xC10).83(C4xS3) = C5xD6:C8central extension (φ=1)240(C2xC10).83(C4xS3)480,139
(C2xC10).84(C4xS3) = C5xC6.C42central extension (φ=1)480(C2xC10).84(C4xS3)480,150
(C2xC10).85(C4xS3) = S3xC2xC40central extension (φ=1)240(C2xC10).85(C4xS3)480,778
(C2xC10).86(C4xS3) = C10xC8:S3central extension (φ=1)240(C2xC10).86(C4xS3)480,779
(C2xC10).87(C4xS3) = Dic3xC2xC20central extension (φ=1)480(C2xC10).87(C4xS3)480,801
(C2xC10).88(C4xS3) = C10xDic3:C4central extension (φ=1)480(C2xC10).88(C4xS3)480,802
(C2xC10).89(C4xS3) = C10xD6:C4central extension (φ=1)240(C2xC10).89(C4xS3)480,806

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