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Extensions 1→N→G→Q→1 with N=C2×C8 and Q=C2×C14

Direct product G=N×Q with N=C2×C8 and Q=C2×C14
dρLabelID
C23×C56448C2^3xC56448,1348

Semidirect products G=N:Q with N=C2×C8 and Q=C2×C14
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊1(C2×C14) = C7×C22⋊D8φ: C2×C14/C7 → C22 ⊆ Aut C2×C8112(C2xC8):1(C2xC14)448,855
(C2×C8)⋊2(C2×C14) = C14×C8⋊C22φ: C2×C14/C7 → C22 ⊆ Aut C2×C8112(C2xC8):2(C2xC14)448,1356
(C2×C8)⋊3(C2×C14) = C7×D8⋊C22φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8):3(C2xC14)448,1358
(C2×C8)⋊4(C2×C14) = C7×D4○D8φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8):4(C2xC14)448,1359
(C2×C8)⋊5(C2×C14) = C7×D4○SD16φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8):5(C2xC14)448,1360
(C2×C8)⋊6(C2×C14) = C7×C22⋊SD16φ: C2×C14/C7 → C22 ⊆ Aut C2×C8112(C2xC8):6(C2xC14)448,858
(C2×C8)⋊7(C2×C14) = C7×C24.4C4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8112(C2xC8):7(C2xC14)448,815
(C2×C8)⋊8(C2×C14) = C7×C23.37D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8112(C2xC8):8(C2xC14)448,826
(C2×C8)⋊9(C2×C14) = C7×Q8○M4(2)φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8):9(C2xC14)448,1351
(C2×C8)⋊10(C2×C14) = C14×C22⋊C8φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8):10(C2xC14)448,814
(C2×C8)⋊11(C2×C14) = C14×D4⋊C4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8):11(C2xC14)448,822
(C2×C8)⋊12(C2×C14) = D8×C2×C14φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8):12(C2xC14)448,1352
(C2×C8)⋊13(C2×C14) = C14×C4○D8φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8):13(C2xC14)448,1355
(C2×C8)⋊14(C2×C14) = SD16×C2×C14φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8):14(C2xC14)448,1353
(C2×C8)⋊15(C2×C14) = M4(2)×C2×C14φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8):15(C2xC14)448,1349
(C2×C8)⋊16(C2×C14) = C14×C8○D4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8):16(C2xC14)448,1350

Non-split extensions G=N.Q with N=C2×C8 and Q=C2×C14
extensionφ:Q→Aut NdρLabelID
(C2×C8).1(C2×C14) = C7×D4⋊D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).1(C2xC14)448,857
(C2×C8).2(C2×C14) = C7×C22⋊Q16φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).2(C2xC14)448,859
(C2×C8).3(C2×C14) = C7×C4⋊D8φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).3(C2xC14)448,867
(C2×C8).4(C2×C14) = C7×C4⋊2Q16φ: C2×C14/C7 → C22 ⊆ Aut C2×C8448(C2xC8).4(C2xC14)448,870
(C2×C8).5(C2×C14) = C7×Q8.D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).5(C2xC14)448,872
(C2×C8).6(C2×C14) = C7×D4⋊Q8φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).6(C2xC14)448,882
(C2×C8).7(C2×C14) = C7×C4.Q16φ: C2×C14/C7 → C22 ⊆ Aut C2×C8448(C2xC8).7(C2xC14)448,885
(C2×C8).8(C2×C14) = C7×Q8.Q8φ: C2×C14/C7 → C22 ⊆ Aut C2×C8448(C2xC8).8(C2xC14)448,887
(C2×C8).9(C2×C14) = C7×C22.D8φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).9(C2xC14)448,888
(C2×C8).10(C2×C14) = C7×C23.48D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).10(C2xC14)448,892
(C2×C8).11(C2×C14) = C7×C23.20D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).11(C2xC14)448,893
(C2×C8).12(C2×C14) = C7×D8⋊2C4φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8).12(C2xC14)448,164
(C2×C8).13(C2×C14) = C7×M5(2)⋊C2φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8).13(C2xC14)448,165
(C2×C8).14(C2×C14) = C7×C8.17D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C82244(C2xC8).14(C2xC14)448,166
(C2×C8).15(C2×C14) = C7×C8.Q8φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8).15(C2xC14)448,169
(C2×C8).16(C2×C14) = C7×M4(2)⋊C4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).16(C2xC14)448,836
(C2×C8).17(C2×C14) = C7×M4(2).C4φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8).17(C2xC14)448,838
(C2×C8).18(C2×C14) = C7×SD16⋊C4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).18(C2xC14)448,848
(C2×C8).19(C2×C14) = C7×Q16⋊C4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8448(C2xC8).19(C2xC14)448,849
(C2×C8).20(C2×C14) = C7×D8⋊C4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).20(C2xC14)448,850
(C2×C8).21(C2×C14) = C7×C8⋊D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).21(C2xC14)448,876
(C2×C8).22(C2×C14) = C7×C8⋊2D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).22(C2xC14)448,877
(C2×C8).23(C2×C14) = C7×C8.D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).23(C2xC14)448,878
(C2×C8).24(C2×C14) = C7×D4.3D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8).24(C2xC14)448,879
(C2×C8).25(C2×C14) = C7×D4.4D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8).25(C2xC14)448,880
(C2×C8).26(C2×C14) = C7×D4.5D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C82244(C2xC8).26(C2xC14)448,881
(C2×C8).27(C2×C14) = C7×C8⋊3D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).27(C2xC14)448,904
(C2×C8).28(C2×C14) = C7×C8.2D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).28(C2xC14)448,905
(C2×C8).29(C2×C14) = C7×C8⋊Q8φ: C2×C14/C7 → C22 ⊆ Aut C2×C8448(C2xC8).29(C2xC14)448,909
(C2×C8).30(C2×C14) = C7×C16⋊C22φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8).30(C2xC14)448,917
(C2×C8).31(C2×C14) = C7×Q32⋊C2φ: C2×C14/C7 → C22 ⊆ Aut C2×C82244(C2xC8).31(C2xC14)448,918
(C2×C8).32(C2×C14) = C14×C8.C22φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).32(C2xC14)448,1357
(C2×C8).33(C2×C14) = C7×Q8○D8φ: C2×C14/C7 → C22 ⊆ Aut C2×C82244(C2xC8).33(C2xC14)448,1361
(C2×C8).34(C2×C14) = C7×Q8⋊D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).34(C2xC14)448,856
(C2×C8).35(C2×C14) = C7×D4.7D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).35(C2xC14)448,860
(C2×C8).36(C2×C14) = C7×C4⋊SD16φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).36(C2xC14)448,868
(C2×C8).37(C2×C14) = C7×D4.D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).37(C2xC14)448,869
(C2×C8).38(C2×C14) = C7×D4.2D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).38(C2xC14)448,871
(C2×C8).39(C2×C14) = C7×Q8⋊Q8φ: C2×C14/C7 → C22 ⊆ Aut C2×C8448(C2xC8).39(C2xC14)448,883
(C2×C8).40(C2×C14) = C7×D4⋊2Q8φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).40(C2xC14)448,884
(C2×C8).41(C2×C14) = C7×D4.Q8φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).41(C2xC14)448,886
(C2×C8).42(C2×C14) = C7×C23.46D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).42(C2xC14)448,889
(C2×C8).43(C2×C14) = C7×C23.19D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).43(C2xC14)448,890
(C2×C8).44(C2×C14) = C7×C23.47D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).44(C2xC14)448,891
(C2×C8).45(C2×C14) = C7×C16⋊C4φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8).45(C2xC14)448,151
(C2×C8).46(C2×C14) = C7×C23.C8φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8).46(C2xC14)448,153
(C2×C8).47(C2×C14) = C7×C23.36D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).47(C2xC14)448,825
(C2×C8).48(C2×C14) = C7×C23.38D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).48(C2xC14)448,827
(C2×C8).49(C2×C14) = C7×C4⋊M4(2)φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).49(C2xC14)448,831
(C2×C8).50(C2×C14) = C7×C42.6C4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).50(C2xC14)448,840
(C2×C8).51(C2×C14) = C7×C42.7C22φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).51(C2xC14)448,841
(C2×C8).52(C2×C14) = C7×C8⋊9D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).52(C2xC14)448,843
(C2×C8).53(C2×C14) = C7×C8⋊6D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).53(C2xC14)448,844
(C2×C8).54(C2×C14) = C7×C8.26D4φ: C2×C14/C7 → C22 ⊆ Aut C2×C81124(C2xC8).54(C2xC14)448,852
(C2×C8).55(C2×C14) = C7×C8⋊4Q8φ: C2×C14/C7 → C22 ⊆ Aut C2×C8448(C2xC8).55(C2xC14)448,854
(C2×C8).56(C2×C14) = C7×C42.28C22φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).56(C2xC14)448,897
(C2×C8).57(C2×C14) = C7×C42.29C22φ: C2×C14/C7 → C22 ⊆ Aut C2×C8224(C2xC8).57(C2xC14)448,898
(C2×C8).58(C2×C14) = C7×C42.30C22φ: C2×C14/C7 → C22 ⊆ Aut C2×C8448(C2xC8).58(C2xC14)448,899
(C2×C8).59(C2×C14) = C7×(C22×C8)⋊C2φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).59(C2xC14)448,816
(C2×C8).60(C2×C14) = C14×Q8⋊C4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).60(C2xC14)448,823
(C2×C8).61(C2×C14) = C7×C23.24D4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).61(C2xC14)448,824
(C2×C8).62(C2×C14) = C14×C4⋊C8φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).62(C2xC14)448,830
(C2×C8).63(C2×C14) = C7×C42.6C22φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).63(C2xC14)448,832
(C2×C8).64(C2×C14) = C7×C42.12C4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).64(C2xC14)448,839
(C2×C8).65(C2×C14) = D8×C28φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).65(C2xC14)448,845
(C2×C8).66(C2×C14) = SD16×C28φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).66(C2xC14)448,846
(C2×C8).67(C2×C14) = Q16×C28φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).67(C2xC14)448,847
(C2×C8).68(C2×C14) = C7×C4.4D8φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).68(C2xC14)448,894
(C2×C8).69(C2×C14) = C7×C4.SD16φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).69(C2xC14)448,895
(C2×C8).70(C2×C14) = C7×C42.78C22φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).70(C2xC14)448,896
(C2×C8).71(C2×C14) = C7×C2.D16φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).71(C2xC14)448,161
(C2×C8).72(C2×C14) = C7×C2.Q32φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).72(C2xC14)448,162
(C2×C8).73(C2×C14) = C7×C16⋊3C4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).73(C2xC14)448,170
(C2×C8).74(C2×C14) = C7×C16⋊4C4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).74(C2xC14)448,171
(C2×C8).75(C2×C14) = C14×C2.D8φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).75(C2xC14)448,834
(C2×C8).76(C2×C14) = C7×C23.25D4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).76(C2xC14)448,835
(C2×C8).77(C2×C14) = C7×C8⋊7D4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).77(C2xC14)448,874
(C2×C8).78(C2×C14) = C7×C8.18D4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).78(C2xC14)448,875
(C2×C8).79(C2×C14) = C7×C8⋊4D4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).79(C2xC14)448,901
(C2×C8).80(C2×C14) = C7×C4⋊Q16φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).80(C2xC14)448,902
(C2×C8).81(C2×C14) = C7×C8.12D4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).81(C2xC14)448,903
(C2×C8).82(C2×C14) = C7×C8.5Q8φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).82(C2xC14)448,907
(C2×C8).83(C2×C14) = C7×C8⋊2Q8φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).83(C2xC14)448,908
(C2×C8).84(C2×C14) = C14×D16φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).84(C2xC14)448,913
(C2×C8).85(C2×C14) = C14×SD32φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).85(C2xC14)448,914
(C2×C8).86(C2×C14) = C14×Q32φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).86(C2xC14)448,915
(C2×C8).87(C2×C14) = Q16×C2×C14φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).87(C2xC14)448,1354
(C2×C8).88(C2×C14) = C7×D8.C4φ: C2×C14/C14 → C2 ⊆ Aut C2×C82242(C2xC8).88(C2xC14)448,163
(C2×C8).89(C2×C14) = C7×C8.4Q8φ: C2×C14/C14 → C2 ⊆ Aut C2×C82242(C2xC8).89(C2xC14)448,172
(C2×C8).90(C2×C14) = C14×C8.C4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).90(C2xC14)448,837
(C2×C8).91(C2×C14) = C7×C4○D16φ: C2×C14/C14 → C2 ⊆ Aut C2×C82242(C2xC8).91(C2xC14)448,916
(C2×C8).92(C2×C14) = C14×C4.Q8φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).92(C2xC14)448,833
(C2×C8).93(C2×C14) = C7×C8⋊8D4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).93(C2xC14)448,873
(C2×C8).94(C2×C14) = C7×C8⋊5D4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).94(C2xC14)448,900
(C2×C8).95(C2×C14) = C7×C8⋊3Q8φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).95(C2xC14)448,906
(C2×C8).96(C2×C14) = C7×D4.C8φ: C2×C14/C14 → C2 ⊆ Aut C2×C82242(C2xC8).96(C2xC14)448,154
(C2×C8).97(C2×C14) = C7×C8.C8φ: C2×C14/C14 → C2 ⊆ Aut C2×C81122(C2xC8).97(C2xC14)448,168
(C2×C8).98(C2×C14) = C14×C8⋊C4φ: C2×C14/C14 → C2 ⊆ Aut C2×C8448(C2xC8).98(C2xC14)448,811
(C2×C8).99(C2×C14) = M4(2)×C28φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).99(C2xC14)448,812
(C2×C8).100(C2×C14) = C7×C8○2M4(2)φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).100(C2xC14)448,813
(C2×C8).101(C2×C14) = C7×C8○D8φ: C2×C14/C14 → C2 ⊆ Aut C2×C81122(C2xC8).101(C2xC14)448,851
(C2×C8).102(C2×C14) = C14×M5(2)φ: C2×C14/C14 → C2 ⊆ Aut C2×C8224(C2xC8).102(C2xC14)448,911
(C2×C8).103(C2×C14) = C7×D4○C16φ: C2×C14/C14 → C2 ⊆ Aut C2×C82242(C2xC8).103(C2xC14)448,912
(C2×C8).104(C2×C14) = C7×C16⋊5C4central extension (φ=1)448(C2xC8).104(C2xC14)448,150
(C2×C8).105(C2×C14) = C7×C22⋊C16central extension (φ=1)224(C2xC8).105(C2xC14)448,152
(C2×C8).106(C2×C14) = C7×C4⋊C16central extension (φ=1)448(C2xC8).106(C2xC14)448,167
(C2×C8).107(C2×C14) = D4×C56central extension (φ=1)224(C2xC8).107(C2xC14)448,842
(C2×C8).108(C2×C14) = Q8×C56central extension (φ=1)448(C2xC8).108(C2xC14)448,853

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