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Extensions 1→N→G→Q→1 with N=C2×C8 and Q=C2×C6

Direct product G=N×Q with N=C2×C8 and Q=C2×C6
dρLabelID
C23×C24192C2^3xC24192,1454

Semidirect products G=N:Q with N=C2×C8 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊1(C2×C6) = C3×C22⋊D8φ: C2×C6/C3 → C22 ⊆ Aut C2×C848(C2xC8):1(C2xC6)192,880
(C2×C8)⋊2(C2×C6) = C6×C8⋊C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C848(C2xC8):2(C2xC6)192,1462
(C2×C8)⋊3(C2×C6) = C3×D8⋊C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8):3(C2xC6)192,1464
(C2×C8)⋊4(C2×C6) = C3×D4○D8φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8):4(C2xC6)192,1465
(C2×C8)⋊5(C2×C6) = C3×D4○SD16φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8):5(C2xC6)192,1466
(C2×C8)⋊6(C2×C6) = C3×C22⋊SD16φ: C2×C6/C3 → C22 ⊆ Aut C2×C848(C2xC8):6(C2xC6)192,883
(C2×C8)⋊7(C2×C6) = C3×C24.4C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C848(C2xC8):7(C2xC6)192,840
(C2×C8)⋊8(C2×C6) = C3×C23.37D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C848(C2xC8):8(C2xC6)192,851
(C2×C8)⋊9(C2×C6) = C3×Q8○M4(2)φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8):9(C2xC6)192,1457
(C2×C8)⋊10(C2×C6) = C6×C22⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8):10(C2xC6)192,839
(C2×C8)⋊11(C2×C6) = C6×D4⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8):11(C2xC6)192,847
(C2×C8)⋊12(C2×C6) = C2×C6×D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8):12(C2xC6)192,1458
(C2×C8)⋊13(C2×C6) = C6×C4○D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8):13(C2xC6)192,1461
(C2×C8)⋊14(C2×C6) = C2×C6×SD16φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8):14(C2xC6)192,1459
(C2×C8)⋊15(C2×C6) = C2×C6×M4(2)φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8):15(C2xC6)192,1455
(C2×C8)⋊16(C2×C6) = C6×C8○D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8):16(C2xC6)192,1456

Non-split extensions G=N.Q with N=C2×C8 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C2×C8).1(C2×C6) = C3×D4⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).1(C2xC6)192,882
(C2×C8).2(C2×C6) = C3×C22⋊Q16φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).2(C2xC6)192,884
(C2×C8).3(C2×C6) = C3×C4⋊D8φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).3(C2xC6)192,892
(C2×C8).4(C2×C6) = C3×C4⋊2Q16φ: C2×C6/C3 → C22 ⊆ Aut C2×C8192(C2xC8).4(C2xC6)192,895
(C2×C8).5(C2×C6) = C3×Q8.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).5(C2xC6)192,897
(C2×C8).6(C2×C6) = C3×D4⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).6(C2xC6)192,907
(C2×C8).7(C2×C6) = C3×C4.Q16φ: C2×C6/C3 → C22 ⊆ Aut C2×C8192(C2xC8).7(C2xC6)192,910
(C2×C8).8(C2×C6) = C3×Q8.Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C8192(C2xC8).8(C2xC6)192,912
(C2×C8).9(C2×C6) = C3×C22.D8φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).9(C2xC6)192,913
(C2×C8).10(C2×C6) = C3×C23.48D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).10(C2xC6)192,917
(C2×C8).11(C2×C6) = C3×C23.20D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).11(C2xC6)192,918
(C2×C8).12(C2×C6) = C3×D8⋊2C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8).12(C2xC6)192,166
(C2×C8).13(C2×C6) = C3×M5(2)⋊C2φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8).13(C2xC6)192,167
(C2×C8).14(C2×C6) = C3×C8.17D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C8964(C2xC8).14(C2xC6)192,168
(C2×C8).15(C2×C6) = C3×C8.Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8).15(C2xC6)192,171
(C2×C8).16(C2×C6) = C3×M4(2)⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).16(C2xC6)192,861
(C2×C8).17(C2×C6) = C3×M4(2).C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8).17(C2xC6)192,863
(C2×C8).18(C2×C6) = C3×SD16⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).18(C2xC6)192,873
(C2×C8).19(C2×C6) = C3×Q16⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C8192(C2xC8).19(C2xC6)192,874
(C2×C8).20(C2×C6) = C3×D8⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).20(C2xC6)192,875
(C2×C8).21(C2×C6) = C3×C8⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).21(C2xC6)192,901
(C2×C8).22(C2×C6) = C3×C8⋊2D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).22(C2xC6)192,902
(C2×C8).23(C2×C6) = C3×C8.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).23(C2xC6)192,903
(C2×C8).24(C2×C6) = C3×D4.3D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8).24(C2xC6)192,904
(C2×C8).25(C2×C6) = C3×D4.4D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8).25(C2xC6)192,905
(C2×C8).26(C2×C6) = C3×D4.5D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C8964(C2xC8).26(C2xC6)192,906
(C2×C8).27(C2×C6) = C3×C8⋊3D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).27(C2xC6)192,929
(C2×C8).28(C2×C6) = C3×C8.2D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).28(C2xC6)192,930
(C2×C8).29(C2×C6) = C3×C8⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C8192(C2xC8).29(C2xC6)192,934
(C2×C8).30(C2×C6) = C3×C16⋊C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8).30(C2xC6)192,942
(C2×C8).31(C2×C6) = C3×Q32⋊C2φ: C2×C6/C3 → C22 ⊆ Aut C2×C8964(C2xC8).31(C2xC6)192,943
(C2×C8).32(C2×C6) = C6×C8.C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).32(C2xC6)192,1463
(C2×C8).33(C2×C6) = C3×Q8○D8φ: C2×C6/C3 → C22 ⊆ Aut C2×C8964(C2xC8).33(C2xC6)192,1467
(C2×C8).34(C2×C6) = C3×Q8⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).34(C2xC6)192,881
(C2×C8).35(C2×C6) = C3×D4.7D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).35(C2xC6)192,885
(C2×C8).36(C2×C6) = C3×C4⋊SD16φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).36(C2xC6)192,893
(C2×C8).37(C2×C6) = C3×D4.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).37(C2xC6)192,894
(C2×C8).38(C2×C6) = C3×D4.2D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).38(C2xC6)192,896
(C2×C8).39(C2×C6) = C3×Q8⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C8192(C2xC8).39(C2xC6)192,908
(C2×C8).40(C2×C6) = C3×D4⋊2Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).40(C2xC6)192,909
(C2×C8).41(C2×C6) = C3×D4.Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).41(C2xC6)192,911
(C2×C8).42(C2×C6) = C3×C23.46D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).42(C2xC6)192,914
(C2×C8).43(C2×C6) = C3×C23.19D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).43(C2xC6)192,915
(C2×C8).44(C2×C6) = C3×C23.47D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).44(C2xC6)192,916
(C2×C8).45(C2×C6) = C3×C16⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8).45(C2xC6)192,153
(C2×C8).46(C2×C6) = C3×C23.C8φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8).46(C2xC6)192,155
(C2×C8).47(C2×C6) = C3×C23.36D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).47(C2xC6)192,850
(C2×C8).48(C2×C6) = C3×C23.38D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).48(C2xC6)192,852
(C2×C8).49(C2×C6) = C3×C4⋊M4(2)φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).49(C2xC6)192,856
(C2×C8).50(C2×C6) = C3×C42.6C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).50(C2xC6)192,865
(C2×C8).51(C2×C6) = C3×C42.7C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).51(C2xC6)192,866
(C2×C8).52(C2×C6) = C3×C8⋊9D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).52(C2xC6)192,868
(C2×C8).53(C2×C6) = C3×C8⋊6D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).53(C2xC6)192,869
(C2×C8).54(C2×C6) = C3×C8.26D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C8484(C2xC8).54(C2xC6)192,877
(C2×C8).55(C2×C6) = C3×C8⋊4Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C8192(C2xC8).55(C2xC6)192,879
(C2×C8).56(C2×C6) = C3×C42.28C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).56(C2xC6)192,922
(C2×C8).57(C2×C6) = C3×C42.29C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C896(C2xC8).57(C2xC6)192,923
(C2×C8).58(C2×C6) = C3×C42.30C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C8192(C2xC8).58(C2xC6)192,924
(C2×C8).59(C2×C6) = C3×(C22×C8)⋊C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).59(C2xC6)192,841
(C2×C8).60(C2×C6) = C6×Q8⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).60(C2xC6)192,848
(C2×C8).61(C2×C6) = C3×C23.24D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).61(C2xC6)192,849
(C2×C8).62(C2×C6) = C6×C4⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).62(C2xC6)192,855
(C2×C8).63(C2×C6) = C3×C42.6C22φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).63(C2xC6)192,857
(C2×C8).64(C2×C6) = C3×C42.12C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).64(C2xC6)192,864
(C2×C8).65(C2×C6) = C12×D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).65(C2xC6)192,870
(C2×C8).66(C2×C6) = C12×SD16φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).66(C2xC6)192,871
(C2×C8).67(C2×C6) = C12×Q16φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).67(C2xC6)192,872
(C2×C8).68(C2×C6) = C3×C4.4D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).68(C2xC6)192,919
(C2×C8).69(C2×C6) = C3×C4.SD16φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).69(C2xC6)192,920
(C2×C8).70(C2×C6) = C3×C42.78C22φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).70(C2xC6)192,921
(C2×C8).71(C2×C6) = C3×C2.D16φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).71(C2xC6)192,163
(C2×C8).72(C2×C6) = C3×C2.Q32φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).72(C2xC6)192,164
(C2×C8).73(C2×C6) = C3×C16⋊3C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).73(C2xC6)192,172
(C2×C8).74(C2×C6) = C3×C16⋊4C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).74(C2xC6)192,173
(C2×C8).75(C2×C6) = C6×C2.D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).75(C2xC6)192,859
(C2×C8).76(C2×C6) = C3×C23.25D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).76(C2xC6)192,860
(C2×C8).77(C2×C6) = C3×C8⋊7D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).77(C2xC6)192,899
(C2×C8).78(C2×C6) = C3×C8.18D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).78(C2xC6)192,900
(C2×C8).79(C2×C6) = C3×C8⋊4D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).79(C2xC6)192,926
(C2×C8).80(C2×C6) = C3×C4⋊Q16φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).80(C2xC6)192,927
(C2×C8).81(C2×C6) = C3×C8.12D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).81(C2xC6)192,928
(C2×C8).82(C2×C6) = C3×C8.5Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).82(C2xC6)192,932
(C2×C8).83(C2×C6) = C3×C8⋊2Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).83(C2xC6)192,933
(C2×C8).84(C2×C6) = C6×D16φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).84(C2xC6)192,938
(C2×C8).85(C2×C6) = C6×SD32φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).85(C2xC6)192,939
(C2×C8).86(C2×C6) = C6×Q32φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).86(C2xC6)192,940
(C2×C8).87(C2×C6) = C2×C6×Q16φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).87(C2xC6)192,1460
(C2×C8).88(C2×C6) = C3×D8.C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C8962(C2xC8).88(C2xC6)192,165
(C2×C8).89(C2×C6) = C3×C8.4Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C8962(C2xC8).89(C2xC6)192,174
(C2×C8).90(C2×C6) = C6×C8.C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).90(C2xC6)192,862
(C2×C8).91(C2×C6) = C3×C4○D16φ: C2×C6/C6 → C2 ⊆ Aut C2×C8962(C2xC8).91(C2xC6)192,941
(C2×C8).92(C2×C6) = C6×C4.Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).92(C2xC6)192,858
(C2×C8).93(C2×C6) = C3×C8⋊8D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).93(C2xC6)192,898
(C2×C8).94(C2×C6) = C3×C8⋊5D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).94(C2xC6)192,925
(C2×C8).95(C2×C6) = C3×C8⋊3Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).95(C2xC6)192,931
(C2×C8).96(C2×C6) = C3×D4.C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C8962(C2xC8).96(C2xC6)192,156
(C2×C8).97(C2×C6) = C3×C8.C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C8482(C2xC8).97(C2xC6)192,170
(C2×C8).98(C2×C6) = C6×C8⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C8192(C2xC8).98(C2xC6)192,836
(C2×C8).99(C2×C6) = C12×M4(2)φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).99(C2xC6)192,837
(C2×C8).100(C2×C6) = C3×C8○2M4(2)φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).100(C2xC6)192,838
(C2×C8).101(C2×C6) = C3×C8○D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C8482(C2xC8).101(C2xC6)192,876
(C2×C8).102(C2×C6) = C6×M5(2)φ: C2×C6/C6 → C2 ⊆ Aut C2×C896(C2xC8).102(C2xC6)192,936
(C2×C8).103(C2×C6) = C3×D4○C16φ: C2×C6/C6 → C2 ⊆ Aut C2×C8962(C2xC8).103(C2xC6)192,937
(C2×C8).104(C2×C6) = C3×C16⋊5C4central extension (φ=1)192(C2xC8).104(C2xC6)192,152
(C2×C8).105(C2×C6) = C3×C22⋊C16central extension (φ=1)96(C2xC8).105(C2xC6)192,154
(C2×C8).106(C2×C6) = C3×C4⋊C16central extension (φ=1)192(C2xC8).106(C2xC6)192,169
(C2×C8).107(C2×C6) = D4×C24central extension (φ=1)96(C2xC8).107(C2xC6)192,867
(C2×C8).108(C2×C6) = Q8×C24central extension (φ=1)192(C2xC8).108(C2xC6)192,878

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