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Extensions 1→N→G→Q→1 with N=C22xC10 and Q=C2xC6

Direct product G=NxQ with N=C22xC10 and Q=C2xC6
dρLabelID
C24xC30480C2^4xC30480,1213

Semidirect products G=N:Q with N=C22xC10 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
(C22xC10):(C2xC6) = C22xD5xA4φ: C2xC6/C2 → C6 ⊆ Aut C22xC1060(C2^2xC10):(C2xC6)480,1202
(C22xC10):2(C2xC6) = C15xC22wrC2φ: C2xC6/C3 → C22 ⊆ Aut C22xC10120(C2^2xC10):2(C2xC6)480,925
(C22xC10):3(C2xC6) = C15x2+ 1+4φ: C2xC6/C3 → C22 ⊆ Aut C22xC101204(C2^2xC10):3(C2xC6)480,1184
(C22xC10):4(C2xC6) = C3xC23:D10φ: C2xC6/C3 → C22 ⊆ Aut C22xC10120(C2^2xC10):4(C2xC6)480,730
(C22xC10):5(C2xC6) = C6xD4xD5φ: C2xC6/C3 → C22 ⊆ Aut C22xC10120(C2^2xC10):5(C2xC6)480,1139
(C22xC10):6(C2xC6) = C3xD4:6D10φ: C2xC6/C3 → C22 ⊆ Aut C22xC101204(C2^2xC10):6(C2xC6)480,1141
(C22xC10):7(C2xC6) = A4xC22xC10φ: C2xC6/C22 → C3 ⊆ Aut C22xC10120(C2^2xC10):7(C2xC6)480,1208
(C22xC10):8(C2xC6) = D4xC2xC30φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10):8(C2xC6)480,1181
(C22xC10):9(C2xC6) = C2xC6xC5:D4φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10):9(C2xC6)480,1149
(C22xC10):10(C2xC6) = D5xC23xC6φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10):10(C2xC6)480,1210

Non-split extensions G=N.Q with N=C22xC10 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
(C22xC10).1(C2xC6) = A4xDic10φ: C2xC6/C2 → C6 ⊆ Aut C22xC101206-(C2^2xC10).1(C2xC6)480,1035
(C22xC10).2(C2xC6) = C4xD5xA4φ: C2xC6/C2 → C6 ⊆ Aut C22xC10606(C2^2xC10).2(C2xC6)480,1036
(C22xC10).3(C2xC6) = A4xD20φ: C2xC6/C2 → C6 ⊆ Aut C22xC10606+(C2^2xC10).3(C2xC6)480,1037
(C22xC10).4(C2xC6) = C2xA4xDic5φ: C2xC6/C2 → C6 ⊆ Aut C22xC10120(C2^2xC10).4(C2xC6)480,1044
(C22xC10).5(C2xC6) = A4xC5:D4φ: C2xC6/C2 → C6 ⊆ Aut C22xC10606(C2^2xC10).5(C2xC6)480,1045
(C22xC10).6(C2xC6) = C15xC23:C4φ: C2xC6/C3 → C22 ⊆ Aut C22xC101204(C2^2xC10).6(C2xC6)480,202
(C22xC10).7(C2xC6) = C15xC4.4D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).7(C2xC6)480,929
(C22xC10).8(C2xC6) = C15xC42:2C2φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).8(C2xC6)480,931
(C22xC10).9(C2xC6) = C15xC4:1D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).9(C2xC6)480,932
(C22xC10).10(C2xC6) = C3xC23.1D10φ: C2xC6/C3 → C22 ⊆ Aut C22xC101204(C2^2xC10).10(C2xC6)480,84
(C22xC10).11(C2xC6) = C3xC23:Dic5φ: C2xC6/C3 → C22 ⊆ Aut C22xC101204(C2^2xC10).11(C2xC6)480,112
(C22xC10).12(C2xC6) = C3xC23.11D10φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).12(C2xC6)480,670
(C22xC10).13(C2xC6) = C3xDic5.14D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).13(C2xC6)480,671
(C22xC10).14(C2xC6) = C3xC23.D10φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).14(C2xC6)480,672
(C22xC10).15(C2xC6) = C3xD5xC22:C4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10120(C2^2xC10).15(C2xC6)480,673
(C22xC10).16(C2xC6) = C3xDic5:4D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).16(C2xC6)480,674
(C22xC10).17(C2xC6) = C3xC22:D20φ: C2xC6/C3 → C22 ⊆ Aut C22xC10120(C2^2xC10).17(C2xC6)480,675
(C22xC10).18(C2xC6) = C3xD10.12D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).18(C2xC6)480,676
(C22xC10).19(C2xC6) = C3xD10:D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).19(C2xC6)480,677
(C22xC10).20(C2xC6) = C3xDic5.5D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).20(C2xC6)480,678
(C22xC10).21(C2xC6) = C3xC22.D20φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).21(C2xC6)480,679
(C22xC10).22(C2xC6) = C3xD4xDic5φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).22(C2xC6)480,727
(C22xC10).23(C2xC6) = C3xC23.18D10φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).23(C2xC6)480,728
(C22xC10).24(C2xC6) = C3xC20.17D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).24(C2xC6)480,729
(C22xC10).25(C2xC6) = C3xC20:2D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).25(C2xC6)480,731
(C22xC10).26(C2xC6) = C3xDic5:D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).26(C2xC6)480,732
(C22xC10).27(C2xC6) = C3xC20:D4φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).27(C2xC6)480,733
(C22xC10).28(C2xC6) = C6xD4:2D5φ: C2xC6/C3 → C22 ⊆ Aut C22xC10240(C2^2xC10).28(C2xC6)480,1140
(C22xC10).29(C2xC6) = A4xC2xC20φ: C2xC6/C22 → C3 ⊆ Aut C22xC10120(C2^2xC10).29(C2xC6)480,1126
(C22xC10).30(C2xC6) = C5xD4xA4φ: C2xC6/C22 → C3 ⊆ Aut C22xC10606(C2^2xC10).30(C2xC6)480,1127
(C22xC10).31(C2xC6) = C5xQ8xA4φ: C2xC6/C22 → C3 ⊆ Aut C22xC101206(C2^2xC10).31(C2xC6)480,1129
(C22xC10).32(C2xC6) = C22:C4xC30φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).32(C2xC6)480,920
(C22xC10).33(C2xC6) = C15xC42:C2φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).33(C2xC6)480,922
(C22xC10).34(C2xC6) = D4xC60φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).34(C2xC6)480,923
(C22xC10).35(C2xC6) = C15xC4:D4φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).35(C2xC6)480,926
(C22xC10).36(C2xC6) = C15xC22:Q8φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).36(C2xC6)480,927
(C22xC10).37(C2xC6) = C15xC22.D4φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).37(C2xC6)480,928
(C22xC10).38(C2xC6) = C4oD4xC30φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).38(C2xC6)480,1183
(C22xC10).39(C2xC6) = C3xC10.10C42φ: C2xC6/C6 → C2 ⊆ Aut C22xC10480(C2^2xC10).39(C2xC6)480,109
(C22xC10).40(C2xC6) = Dic5xC2xC12φ: C2xC6/C6 → C2 ⊆ Aut C22xC10480(C2^2xC10).40(C2xC6)480,715
(C22xC10).41(C2xC6) = C6xC10.D4φ: C2xC6/C6 → C2 ⊆ Aut C22xC10480(C2^2xC10).41(C2xC6)480,716
(C22xC10).42(C2xC6) = C3xC20.48D4φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).42(C2xC6)480,717
(C22xC10).43(C2xC6) = C6xC4:Dic5φ: C2xC6/C6 → C2 ⊆ Aut C22xC10480(C2^2xC10).43(C2xC6)480,718
(C22xC10).44(C2xC6) = C3xC23.21D10φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).44(C2xC6)480,719
(C22xC10).45(C2xC6) = C6xD10:C4φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).45(C2xC6)480,720
(C22xC10).46(C2xC6) = C12xC5:D4φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).46(C2xC6)480,721
(C22xC10).47(C2xC6) = C3xC23.23D10φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).47(C2xC6)480,722
(C22xC10).48(C2xC6) = C3xC20:7D4φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).48(C2xC6)480,723
(C22xC10).49(C2xC6) = C6xC23.D5φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).49(C2xC6)480,745
(C22xC10).50(C2xC6) = C3xC24:2D5φ: C2xC6/C6 → C2 ⊆ Aut C22xC10120(C2^2xC10).50(C2xC6)480,746
(C22xC10).51(C2xC6) = C2xC6xDic10φ: C2xC6/C6 → C2 ⊆ Aut C22xC10480(C2^2xC10).51(C2xC6)480,1135
(C22xC10).52(C2xC6) = D5xC22xC12φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).52(C2xC6)480,1136
(C22xC10).53(C2xC6) = C2xC6xD20φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).53(C2xC6)480,1137
(C22xC10).54(C2xC6) = C6xC4oD20φ: C2xC6/C6 → C2 ⊆ Aut C22xC10240(C2^2xC10).54(C2xC6)480,1138
(C22xC10).55(C2xC6) = Dic5xC22xC6φ: C2xC6/C6 → C2 ⊆ Aut C22xC10480(C2^2xC10).55(C2xC6)480,1148
(C22xC10).56(C2xC6) = C15xC2.C42central extension (φ=1)480(C2^2xC10).56(C2xC6)480,198
(C22xC10).57(C2xC6) = C4:C4xC30central extension (φ=1)480(C2^2xC10).57(C2xC6)480,921
(C22xC10).58(C2xC6) = Q8xC2xC30central extension (φ=1)480(C2^2xC10).58(C2xC6)480,1182

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