Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C5xD4

Direct product G=NxQ with N=C2xC6 and Q=C5xD4
dρLabelID
D4xC2xC30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=C2xC6 and Q=C5xD4
extensionφ:Q→Aut NdρLabelID
(C2xC6):1(C5xD4) = C5xD6:D4φ: C5xD4/C10C22 ⊆ Aut C2xC6120(C2xC6):1(C5xD4)480,761
(C2xC6):2(C5xD4) = C5xC23:2D6φ: C5xD4/C10C22 ⊆ Aut C2xC6120(C2xC6):2(C5xD4)480,816
(C2xC6):3(C5xD4) = C5xC23.14D6φ: C5xD4/C10C22 ⊆ Aut C2xC6240(C2xC6):3(C5xD4)480,818
(C2xC6):4(C5xD4) = C15xC4:D4φ: C5xD4/C20C2 ⊆ Aut C2xC6240(C2xC6):4(C5xD4)480,926
(C2xC6):5(C5xD4) = C5xC12:7D4φ: C5xD4/C20C2 ⊆ Aut C2xC6240(C2xC6):5(C5xD4)480,809
(C2xC6):6(C5xD4) = C2xC10xD12φ: C5xD4/C20C2 ⊆ Aut C2xC6240(C2xC6):6(C5xD4)480,1152
(C2xC6):7(C5xD4) = C15xC22wrC2φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6120(C2xC6):7(C5xD4)480,925
(C2xC6):8(C5xD4) = C5xC24:4S3φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6120(C2xC6):8(C5xD4)480,832
(C2xC6):9(C5xD4) = C2xC10xC3:D4φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6240(C2xC6):9(C5xD4)480,1164

Non-split extensions G=N.Q with N=C2xC6 and Q=C5xD4
extensionφ:Q→Aut NdρLabelID
(C2xC6).1(C5xD4) = C5xD12:C4φ: C5xD4/C10C22 ⊆ Aut C2xC61204(C2xC6).1(C5xD4)480,144
(C2xC6).2(C5xD4) = C5xC23.7D6φ: C5xD4/C10C22 ⊆ Aut C2xC61204(C2xC6).2(C5xD4)480,153
(C2xC6).3(C5xD4) = C5xQ8:3Dic3φ: C5xD4/C10C22 ⊆ Aut C2xC61204(C2xC6).3(C5xD4)480,156
(C2xC6).4(C5xD4) = C5xC23.21D6φ: C5xD4/C10C22 ⊆ Aut C2xC6240(C2xC6).4(C5xD4)480,765
(C2xC6).5(C5xD4) = C5xC8:D6φ: C5xD4/C10C22 ⊆ Aut C2xC61204(C2xC6).5(C5xD4)480,787
(C2xC6).6(C5xD4) = C5xC8.D6φ: C5xD4/C10C22 ⊆ Aut C2xC62404(C2xC6).6(C5xD4)480,788
(C2xC6).7(C5xD4) = C5xC23.23D6φ: C5xD4/C10C22 ⊆ Aut C2xC6240(C2xC6).7(C5xD4)480,814
(C2xC6).8(C5xD4) = C5xD4:D6φ: C5xD4/C10C22 ⊆ Aut C2xC61204(C2xC6).8(C5xD4)480,828
(C2xC6).9(C5xD4) = C5xQ8.13D6φ: C5xD4/C10C22 ⊆ Aut C2xC62404(C2xC6).9(C5xD4)480,829
(C2xC6).10(C5xD4) = C5xQ8.14D6φ: C5xD4/C10C22 ⊆ Aut C2xC62404(C2xC6).10(C5xD4)480,830
(C2xC6).11(C5xD4) = C15xC4oD8φ: C5xD4/C20C2 ⊆ Aut C2xC62402(C2xC6).11(C5xD4)480,940
(C2xC6).12(C5xD4) = C5xC2.Dic12φ: C5xD4/C20C2 ⊆ Aut C2xC6480(C2xC6).12(C5xD4)480,135
(C2xC6).13(C5xD4) = C5xC8:Dic3φ: C5xD4/C20C2 ⊆ Aut C2xC6480(C2xC6).13(C5xD4)480,136
(C2xC6).14(C5xD4) = C5xC24:1C4φ: C5xD4/C20C2 ⊆ Aut C2xC6480(C2xC6).14(C5xD4)480,137
(C2xC6).15(C5xD4) = C5xC2.D24φ: C5xD4/C20C2 ⊆ Aut C2xC6240(C2xC6).15(C5xD4)480,140
(C2xC6).16(C5xD4) = C10xC24:C2φ: C5xD4/C20C2 ⊆ Aut C2xC6240(C2xC6).16(C5xD4)480,781
(C2xC6).17(C5xD4) = C10xD24φ: C5xD4/C20C2 ⊆ Aut C2xC6240(C2xC6).17(C5xD4)480,782
(C2xC6).18(C5xD4) = C5xC4oD24φ: C5xD4/C20C2 ⊆ Aut C2xC62402(C2xC6).18(C5xD4)480,783
(C2xC6).19(C5xD4) = C10xDic12φ: C5xD4/C20C2 ⊆ Aut C2xC6480(C2xC6).19(C5xD4)480,784
(C2xC6).20(C5xD4) = C10xC4:Dic3φ: C5xD4/C20C2 ⊆ Aut C2xC6480(C2xC6).20(C5xD4)480,804
(C2xC6).21(C5xD4) = C15xC23:C4φ: C5xD4/C2xC10C2 ⊆ Aut C2xC61204(C2xC6).21(C5xD4)480,202
(C2xC6).22(C5xD4) = C15xC4wrC2φ: C5xD4/C2xC10C2 ⊆ Aut C2xC61202(C2xC6).22(C5xD4)480,207
(C2xC6).23(C5xD4) = C15xC22.D4φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6240(C2xC6).23(C5xD4)480,928
(C2xC6).24(C5xD4) = C15xC8:C22φ: C5xD4/C2xC10C2 ⊆ Aut C2xC61204(C2xC6).24(C5xD4)480,941
(C2xC6).25(C5xD4) = C15xC8.C22φ: C5xD4/C2xC10C2 ⊆ Aut C2xC62404(C2xC6).25(C5xD4)480,942
(C2xC6).26(C5xD4) = C5xC42:4S3φ: C5xD4/C2xC10C2 ⊆ Aut C2xC61202(C2xC6).26(C5xD4)480,124
(C2xC6).27(C5xD4) = C5xC23.6D6φ: C5xD4/C2xC10C2 ⊆ Aut C2xC61204(C2xC6).27(C5xD4)480,125
(C2xC6).28(C5xD4) = C5xC6.Q16φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6480(C2xC6).28(C5xD4)480,126
(C2xC6).29(C5xD4) = C5xC12.Q8φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6480(C2xC6).29(C5xD4)480,127
(C2xC6).30(C5xD4) = C5xC6.D8φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6240(C2xC6).30(C5xD4)480,128
(C2xC6).31(C5xD4) = C5xC6.SD16φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6480(C2xC6).31(C5xD4)480,129
(C2xC6).32(C5xD4) = C5xC6.C42φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6480(C2xC6).32(C5xD4)480,150
(C2xC6).33(C5xD4) = C5xD4:Dic3φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6240(C2xC6).33(C5xD4)480,151
(C2xC6).34(C5xD4) = C5xQ8:2Dic3φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6480(C2xC6).34(C5xD4)480,154
(C2xC6).35(C5xD4) = C10xDic3:C4φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6480(C2xC6).35(C5xD4)480,802
(C2xC6).36(C5xD4) = C10xD6:C4φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6240(C2xC6).36(C5xD4)480,806
(C2xC6).37(C5xD4) = C5xC23.28D6φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6240(C2xC6).37(C5xD4)480,808
(C2xC6).38(C5xD4) = C10xD4:S3φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6240(C2xC6).38(C5xD4)480,810
(C2xC6).39(C5xD4) = C5xD12:6C22φ: C5xD4/C2xC10C2 ⊆ Aut C2xC61204(C2xC6).39(C5xD4)480,811
(C2xC6).40(C5xD4) = C10xD4.S3φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6240(C2xC6).40(C5xD4)480,812
(C2xC6).41(C5xD4) = C10xQ8:2S3φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6240(C2xC6).41(C5xD4)480,820
(C2xC6).42(C5xD4) = C5xQ8.11D6φ: C5xD4/C2xC10C2 ⊆ Aut C2xC62404(C2xC6).42(C5xD4)480,821
(C2xC6).43(C5xD4) = C10xC3:Q16φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6480(C2xC6).43(C5xD4)480,822
(C2xC6).44(C5xD4) = C10xC6.D4φ: C5xD4/C2xC10C2 ⊆ Aut C2xC6240(C2xC6).44(C5xD4)480,831
(C2xC6).45(C5xD4) = C15xC2.C42central extension (φ=1)480(C2xC6).45(C5xD4)480,198
(C2xC6).46(C5xD4) = C15xD4:C4central extension (φ=1)240(C2xC6).46(C5xD4)480,205
(C2xC6).47(C5xD4) = C15xQ8:C4central extension (φ=1)480(C2xC6).47(C5xD4)480,206
(C2xC6).48(C5xD4) = C15xC4.Q8central extension (φ=1)480(C2xC6).48(C5xD4)480,209
(C2xC6).49(C5xD4) = C15xC2.D8central extension (φ=1)480(C2xC6).49(C5xD4)480,210
(C2xC6).50(C5xD4) = C22:C4xC30central extension (φ=1)240(C2xC6).50(C5xD4)480,920
(C2xC6).51(C5xD4) = C4:C4xC30central extension (φ=1)480(C2xC6).51(C5xD4)480,921
(C2xC6).52(C5xD4) = D8xC30central extension (φ=1)240(C2xC6).52(C5xD4)480,937
(C2xC6).53(C5xD4) = SD16xC30central extension (φ=1)240(C2xC6).53(C5xD4)480,938
(C2xC6).54(C5xD4) = Q16xC30central extension (φ=1)480(C2xC6).54(C5xD4)480,939

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