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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C2×C12

Direct product G=N×Q with N=C2×C4 and Q=C2×C12
dρLabelID
C22×C4×C12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C2×C4 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C2×C12) = C6×C23⋊C4φ: C2×C12/C6 → C4 ⊆ Aut C2×C448(C2xC4):1(C2xC12)192,842
(C2×C4)⋊2(C2×C12) = C3×C23.8Q8φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4):2(C2xC12)192,818
(C2×C4)⋊3(C2×C12) = C3×C23.23D4φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4):3(C2xC12)192,819
(C2×C4)⋊4(C2×C12) = C3×C22.11C24φ: C2×C12/C6 → C22 ⊆ Aut C2×C448(C2xC4):4(C2xC12)192,1407
(C2×C4)⋊5(C2×C12) = C3×C23.33C23φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4):5(C2xC12)192,1409
(C2×C4)⋊6(C2×C12) = C12×C22⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4):6(C2xC12)192,810
(C2×C4)⋊7(C2×C12) = D4×C2×C12φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4):7(C2xC12)192,1404
(C2×C4)⋊8(C2×C12) = C12×C4○D4φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4):8(C2xC12)192,1406
(C2×C4)⋊9(C2×C12) = C6×C2.C42φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4):9(C2xC12)192,808
(C2×C4)⋊10(C2×C12) = C2×C6×C4⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4):10(C2xC12)192,1402
(C2×C4)⋊11(C2×C12) = C6×C42⋊C2φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C496(C2xC4):11(C2xC12)192,1403

Non-split extensions G=N.Q with N=C2×C4 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C2×C12) = C3×C42⋊C4φ: C2×C12/C6 → C4 ⊆ Aut C2×C4244(C2xC4).1(C2xC12)192,159
(C2×C4).2(C2×C12) = C3×C42⋊3C4φ: C2×C12/C6 → C4 ⊆ Aut C2×C4484(C2xC4).2(C2xC12)192,160
(C2×C4).3(C2×C12) = C3×C42.C4φ: C2×C12/C6 → C4 ⊆ Aut C2×C4484(C2xC4).3(C2xC12)192,161
(C2×C4).4(C2×C12) = C3×C42.3C4φ: C2×C12/C6 → C4 ⊆ Aut C2×C4484(C2xC4).4(C2xC12)192,162
(C2×C4).5(C2×C12) = C6×C4.10D4φ: C2×C12/C6 → C4 ⊆ Aut C2×C496(C2xC4).5(C2xC12)192,845
(C2×C4).6(C2×C12) = C3×M4(2).8C22φ: C2×C12/C6 → C4 ⊆ Aut C2×C4484(C2xC4).6(C2xC12)192,846
(C2×C4).7(C2×C12) = C3×C22.SD16φ: C2×C12/C6 → C22 ⊆ Aut C2×C448(C2xC4).7(C2xC12)192,133
(C2×C4).8(C2×C12) = C3×C23.31D4φ: C2×C12/C6 → C22 ⊆ Aut C2×C448(C2xC4).8(C2xC12)192,134
(C2×C4).9(C2×C12) = C3×C42.C22φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).9(C2xC12)192,135
(C2×C4).10(C2×C12) = C3×C42.2C22φ: C2×C12/C6 → C22 ⊆ Aut C2×C4192(C2xC4).10(C2xC12)192,136
(C2×C4).11(C2×C12) = C3×C4.D8φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).11(C2xC12)192,137
(C2×C4).12(C2×C12) = C3×C4.10D8φ: C2×C12/C6 → C22 ⊆ Aut C2×C4192(C2xC4).12(C2xC12)192,138
(C2×C4).13(C2×C12) = C3×C4.6Q16φ: C2×C12/C6 → C22 ⊆ Aut C2×C4192(C2xC4).13(C2xC12)192,139
(C2×C4).14(C2×C12) = C3×C22.C42φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).14(C2xC12)192,149
(C2×C4).15(C2×C12) = C3×M4(2)⋊4C4φ: C2×C12/C6 → C22 ⊆ Aut C2×C4484(C2xC4).15(C2xC12)192,150
(C2×C4).16(C2×C12) = C3×C23.65C23φ: C2×C12/C6 → C22 ⊆ Aut C2×C4192(C2xC4).16(C2xC12)192,822
(C2×C4).17(C2×C12) = C3×C23.67C23φ: C2×C12/C6 → C22 ⊆ Aut C2×C4192(C2xC4).17(C2xC12)192,824
(C2×C4).18(C2×C12) = C3×C23.C23φ: C2×C12/C6 → C22 ⊆ Aut C2×C4484(C2xC4).18(C2xC12)192,843
(C2×C4).19(C2×C12) = C6×C4.D4φ: C2×C12/C6 → C22 ⊆ Aut C2×C448(C2xC4).19(C2xC12)192,844
(C2×C4).20(C2×C12) = C3×C23.36D4φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).20(C2xC12)192,850
(C2×C4).21(C2×C12) = C3×C23.37D4φ: C2×C12/C6 → C22 ⊆ Aut C2×C448(C2xC4).21(C2xC12)192,851
(C2×C4).22(C2×C12) = C3×C23.38D4φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).22(C2xC12)192,852
(C2×C4).23(C2×C12) = C3×C42⋊C22φ: C2×C12/C6 → C22 ⊆ Aut C2×C4484(C2xC4).23(C2xC12)192,854
(C2×C4).24(C2×C12) = C3×C42.6C22φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).24(C2xC12)192,857
(C2×C4).25(C2×C12) = C3×M4(2)⋊C4φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).25(C2xC12)192,861
(C2×C4).26(C2×C12) = C3×M4(2).C4φ: C2×C12/C6 → C22 ⊆ Aut C2×C4484(C2xC4).26(C2xC12)192,863
(C2×C4).27(C2×C12) = C3×C42.7C22φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).27(C2xC12)192,866
(C2×C4).28(C2×C12) = C3×C8⋊9D4φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).28(C2xC12)192,868
(C2×C4).29(C2×C12) = C3×C8⋊6D4φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).29(C2xC12)192,869
(C2×C4).30(C2×C12) = C3×C8⋊4Q8φ: C2×C12/C6 → C22 ⊆ Aut C2×C4192(C2xC4).30(C2xC12)192,879
(C2×C4).31(C2×C12) = C3×C23.32C23φ: C2×C12/C6 → C22 ⊆ Aut C2×C496(C2xC4).31(C2xC12)192,1408
(C2×C4).32(C2×C12) = C3×Q8○M4(2)φ: C2×C12/C6 → C22 ⊆ Aut C2×C4484(C2xC4).32(C2xC12)192,1457
(C2×C4).33(C2×C12) = C3×C23.63C23φ: C2×C12/C12 → C2 ⊆ Aut C2×C4192(C2xC4).33(C2xC12)192,820
(C2×C4).34(C2×C12) = C3×C24.C22φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).34(C2xC12)192,821
(C2×C4).35(C2×C12) = C3×C8○2M4(2)φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).35(C2xC12)192,838
(C2×C4).36(C2×C12) = D4×C24φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).36(C2xC12)192,867
(C2×C4).37(C2×C12) = Q8×C24φ: C2×C12/C12 → C2 ⊆ Aut C2×C4192(C2xC4).37(C2xC12)192,878
(C2×C4).38(C2×C12) = C3×D4⋊C8φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).38(C2xC12)192,131
(C2×C4).39(C2×C12) = C3×Q8⋊C8φ: C2×C12/C12 → C2 ⊆ Aut C2×C4192(C2xC4).39(C2xC12)192,132
(C2×C4).40(C2×C12) = C3×C22.4Q16φ: C2×C12/C12 → C2 ⊆ Aut C2×C4192(C2xC4).40(C2xC12)192,146
(C2×C4).41(C2×C12) = C3×C4.C42φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).41(C2xC12)192,147
(C2×C4).42(C2×C12) = C3×D4.C8φ: C2×C12/C12 → C2 ⊆ Aut C2×C4962(C2xC4).42(C2xC12)192,156
(C2×C4).43(C2×C12) = C12×C4⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C2×C4192(C2xC4).43(C2xC12)192,811
(C2×C4).44(C2×C12) = C3×C24.3C22φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).44(C2xC12)192,823
(C2×C4).45(C2×C12) = C12×M4(2)φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).45(C2xC12)192,837
(C2×C4).46(C2×C12) = C3×(C22×C8)⋊C2φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).46(C2xC12)192,841
(C2×C4).47(C2×C12) = C6×D4⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).47(C2xC12)192,847
(C2×C4).48(C2×C12) = C6×Q8⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C2×C4192(C2xC4).48(C2xC12)192,848
(C2×C4).49(C2×C12) = C3×C23.24D4φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).49(C2xC12)192,849
(C2×C4).50(C2×C12) = C6×C4≀C2φ: C2×C12/C12 → C2 ⊆ Aut C2×C448(C2xC4).50(C2xC12)192,853
(C2×C4).51(C2×C12) = C3×D4○C16φ: C2×C12/C12 → C2 ⊆ Aut C2×C4962(C2xC4).51(C2xC12)192,937
(C2×C4).52(C2×C12) = Q8×C2×C12φ: C2×C12/C12 → C2 ⊆ Aut C2×C4192(C2xC4).52(C2xC12)192,1405
(C2×C4).53(C2×C12) = C6×C8○D4φ: C2×C12/C12 → C2 ⊆ Aut C2×C496(C2xC4).53(C2xC12)192,1456
(C2×C4).54(C2×C12) = C3×C42⋊4C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4).54(C2xC12)192,809
(C2×C4).55(C2×C12) = C3×C23.7Q8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C496(C2xC4).55(C2xC12)192,813
(C2×C4).56(C2×C12) = C3×C23.34D4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C496(C2xC4).56(C2xC12)192,814
(C2×C4).57(C2×C12) = C3×C42⋊5C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4).57(C2xC12)192,816
(C2×C4).58(C2×C12) = C6×C8⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4).58(C2xC12)192,836
(C2×C4).59(C2×C12) = C6×C22⋊C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C496(C2xC4).59(C2xC12)192,839
(C2×C4).60(C2×C12) = C3×C42.6C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C496(C2xC4).60(C2xC12)192,865
(C2×C4).61(C2×C12) = C3×C8⋊2C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4).61(C2xC12)192,140
(C2×C4).62(C2×C12) = C3×C8⋊1C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4).62(C2xC12)192,141
(C2×C4).63(C2×C12) = C3×C4.9C42φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4484(C2xC4).63(C2xC12)192,143
(C2×C4).64(C2×C12) = C3×C4.10C42φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4484(C2xC4).64(C2xC12)192,144
(C2×C4).65(C2×C12) = C3×C42⋊6C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C448(C2xC4).65(C2xC12)192,145
(C2×C4).66(C2×C12) = C3×C16⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4484(C2xC4).66(C2xC12)192,153
(C2×C4).67(C2×C12) = C3×C23.C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4484(C2xC4).67(C2xC12)192,155
(C2×C4).68(C2×C12) = C3×C8.C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4482(C2xC4).68(C2xC12)192,170
(C2×C4).69(C2×C12) = C3×C42⋊8C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4).69(C2xC12)192,815
(C2×C4).70(C2×C12) = C3×C42⋊9C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4).70(C2xC12)192,817
(C2×C4).71(C2×C12) = C3×C24.4C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C448(C2xC4).71(C2xC12)192,840
(C2×C4).72(C2×C12) = C6×C4⋊C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4).72(C2xC12)192,855
(C2×C4).73(C2×C12) = C3×C4⋊M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C496(C2xC4).73(C2xC12)192,856
(C2×C4).74(C2×C12) = C6×C4.Q8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4).74(C2xC12)192,858
(C2×C4).75(C2×C12) = C6×C2.D8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C4192(C2xC4).75(C2xC12)192,859
(C2×C4).76(C2×C12) = C3×C23.25D4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C496(C2xC4).76(C2xC12)192,860
(C2×C4).77(C2×C12) = C6×C8.C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C496(C2xC4).77(C2xC12)192,862
(C2×C4).78(C2×C12) = C3×C42.12C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C496(C2xC4).78(C2xC12)192,864
(C2×C4).79(C2×C12) = C2×C6×M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Aut C2×C496(C2xC4).79(C2xC12)192,1455
(C2×C4).80(C2×C12) = C3×C8⋊C8central extension (φ=1)192(C2xC4).80(C2xC12)192,128
(C2×C4).81(C2×C12) = C3×C22.7C42central extension (φ=1)192(C2xC4).81(C2xC12)192,142
(C2×C4).82(C2×C12) = C3×C16⋊5C4central extension (φ=1)192(C2xC4).82(C2xC12)192,152
(C2×C4).83(C2×C12) = C3×C22⋊C16central extension (φ=1)96(C2xC4).83(C2xC12)192,154
(C2×C4).84(C2×C12) = C3×C4⋊C16central extension (φ=1)192(C2xC4).84(C2xC12)192,169
(C2×C4).85(C2×C12) = C6×M5(2)central extension (φ=1)96(C2xC4).85(C2xC12)192,936

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