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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=C2×Q8

Direct product G=N×Q with N=C2×C14 and Q=C2×Q8
dρLabelID
Q8×C22×C14448Q8xC2^2xC14448,1387

Semidirect products G=N:Q with N=C2×C14 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
(C2×C14)⋊1(C2×Q8) = D4×Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C2×C14224(C2xC14):1(C2xQ8)448,990
(C2×C14)⋊2(C2×Q8) = D7×C22⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C2×C14112(C2xC14):2(C2xQ8)448,1079
(C2×C14)⋊3(C2×Q8) = Dic14⋊21D4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C14224(C2xC14):3(C2xQ8)448,1085
(C2×C14)⋊4(C2×Q8) = C2×C22⋊Dic14φ: C2×Q8/C22 → C22 ⊆ Aut C2×C14224(C2xC14):4(C2xQ8)448,934
(C2×C14)⋊5(C2×Q8) = C14×C22⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14):5(C2xQ8)448,1306
(C2×C14)⋊6(C2×Q8) = C2×C28.48D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14):6(C2xQ8)448,1237
(C2×C14)⋊7(C2×Q8) = C23×Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14):7(C2xQ8)448,1365
(C2×C14)⋊8(C2×Q8) = C7×D4×Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14):8(C2xQ8)448,1332
(C2×C14)⋊9(C2×Q8) = Q8×C7⋊D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14):9(C2xQ8)448,1268
(C2×C14)⋊10(C2×Q8) = C22×Q8×D7φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14):10(C2xQ8)448,1372

Non-split extensions G=N.Q with N=C2×C14 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
(C2×C14).1(C2×Q8) = D7×C8.C4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C141124(C2xC14).1(C2xQ8)448,426
(C2×C14).2(C2×Q8) = M4(2).25D14φ: C2×Q8/C4 → C22 ⊆ Aut C2×C141124(C2xC14).2(C2xQ8)448,427
(C2×C14).3(C2×Q8) = D4⋊5Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C2×C14224(C2xC14).3(C2xQ8)448,992
(C2×C14).4(C2×Q8) = D4⋊6Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C2×C14224(C2xC14).4(C2xQ8)448,996
(C2×C14).5(C2×Q8) = (Q8×Dic7)⋊C2φ: C2×Q8/C4 → C22 ⊆ Aut C2×C14224(C2xC14).5(C2xQ8)448,1075
(C2×C14).6(C2×Q8) = C14.752- 1+4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C14224(C2xC14).6(C2xQ8)448,1076
(C2×C14).7(C2×Q8) = C14.512+ 1+4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C14112(C2xC14).7(C2xQ8)448,1087
(C2×C14).8(C2×Q8) = C14.1182+ 1+4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C14224(C2xC14).8(C2xQ8)448,1088
(C2×C14).9(C2×Q8) = C14.522+ 1+4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C14224(C2xC14).9(C2xQ8)448,1089
(C2×C14).10(C2×Q8) = C2×C28.53D4φ: C2×Q8/C22 → C22 ⊆ Aut C2×C14224(C2xC14).10(C2xQ8)448,657
(C2×C14).11(C2×Q8) = C23.Dic14φ: C2×Q8/C22 → C22 ⊆ Aut C2×C141124(C2xC14).11(C2xQ8)448,658
(C2×C14).12(C2×Q8) = C42.88D14φ: C2×Q8/C22 → C22 ⊆ Aut C2×C14224(C2xC14).12(C2xQ8)448,970
(C2×C14).13(C2×Q8) = C42.90D14φ: C2×Q8/C22 → C22 ⊆ Aut C2×C14224(C2xC14).13(C2xQ8)448,972
(C2×C14).14(C2×Q8) = C14×C8.C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).14(C2xQ8)448,837
(C2×C14).15(C2×Q8) = C7×M4(2).C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C141124(C2xC14).15(C2xQ8)448,838
(C2×C14).16(C2×Q8) = C7×C23.37C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).16(C2xQ8)448,1316
(C2×C14).17(C2×Q8) = C7×C23⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14112(C2xC14).17(C2xQ8)448,1326
(C2×C14).18(C2×Q8) = C7×C23.41C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).18(C2xQ8)448,1327
(C2×C14).19(C2×Q8) = C4⋊Dic7⋊8C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).19(C2xQ8)448,188
(C2×C14).20(C2×Q8) = C14.(C4×D4)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).20(C2xQ8)448,189
(C2×C14).21(C2×Q8) = (C2×C4).Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).21(C2xQ8)448,194
(C2×C14).22(C2×Q8) = C14.(C4⋊Q8)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).22(C2xQ8)448,195
(C2×C14).23(C2×Q8) = C28⋊4(C4⋊C4)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).23(C2xQ8)448,462
(C2×C14).24(C2×Q8) = (C2×C28)⋊10Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).24(C2xQ8)448,463
(C2×C14).25(C2×Q8) = C4×Dic7⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).25(C2xQ8)448,465
(C2×C14).26(C2×Q8) = (C2×C42).D7φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).26(C2xQ8)448,467
(C2×C14).27(C2×Q8) = C4×C4⋊Dic7φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).27(C2xQ8)448,468
(C2×C14).28(C2×Q8) = C42⋊8Dic7φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).28(C2xQ8)448,469
(C2×C14).29(C2×Q8) = C42⋊9Dic7φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).29(C2xQ8)448,470
(C2×C14).30(C2×Q8) = C24.44D14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).30(C2xQ8)448,476
(C2×C14).31(C2×Q8) = C24.46D14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).31(C2xQ8)448,480
(C2×C14).32(C2×Q8) = C23⋊Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).32(C2xQ8)448,481
(C2×C14).33(C2×Q8) = C24.6D14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).33(C2xQ8)448,482
(C2×C14).34(C2×Q8) = C24.7D14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).34(C2xQ8)448,483
(C2×C14).35(C2×Q8) = C24.47D14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).35(C2xQ8)448,484
(C2×C14).36(C2×Q8) = (C4×Dic7)⋊9C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).36(C2xQ8)448,511
(C2×C14).37(C2×Q8) = (C2×C28).54D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).37(C2xQ8)448,518
(C2×C14).38(C2×Q8) = C4⋊(C4⋊Dic7)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).38(C2xQ8)448,519
(C2×C14).39(C2×Q8) = (C2×C28).55D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).39(C2xQ8)448,520
(C2×C14).40(C2×Q8) = C2×C56.C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).40(C2xQ8)448,641
(C2×C14).41(C2×Q8) = M4(2).Dic7φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C141124(C2xC14).41(C2xQ8)448,659
(C2×C14).42(C2×Q8) = C2×C14.C42φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).42(C2xQ8)448,742
(C2×C14).43(C2×Q8) = C24.62D14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).43(C2xQ8)448,744
(C2×C14).44(C2×Q8) = C23.27D28φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).44(C2xQ8)448,746
(C2×C14).45(C2×Q8) = C2×C4×Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).45(C2xQ8)448,920
(C2×C14).46(C2×Q8) = C2×C28⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).46(C2xQ8)448,921
(C2×C14).47(C2×Q8) = C2×C28.6Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).47(C2xQ8)448,922
(C2×C14).48(C2×Q8) = C42.274D14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).48(C2xQ8)448,923
(C2×C14).49(C2×Q8) = C23⋊2Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14112(C2xC14).49(C2xQ8)448,936
(C2×C14).50(C2×Q8) = C2×C28⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).50(C2xQ8)448,950
(C2×C14).51(C2×Q8) = C2×C28.3Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).51(C2xQ8)448,952
(C2×C14).52(C2×Q8) = C14.72+ 1+4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).52(C2xQ8)448,953
(C2×C14).53(C2×Q8) = C22×Dic7⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).53(C2xQ8)448,1236
(C2×C14).54(C2×Q8) = C22×C4⋊Dic7φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).54(C2xQ8)448,1238
(C2×C14).55(C2×Q8) = C7×D4⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).55(C2xQ8)448,1337
(C2×C14).56(C2×Q8) = (C2×C28)⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).56(C2xQ8)448,180
(C2×C14).57(C2×Q8) = C14.(C4×Q8)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).57(C2xQ8)448,181
(C2×C14).58(C2×Q8) = Dic7⋊C42φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).58(C2xQ8)448,183
(C2×C14).59(C2×Q8) = C7⋊(C42⋊8C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).59(C2xQ8)448,184
(C2×C14).60(C2×Q8) = Dic7⋊C4⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).60(C2xQ8)448,186
(C2×C14).61(C2×Q8) = C4⋊Dic7⋊7C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).61(C2xQ8)448,187
(C2×C14).62(C2×Q8) = (C2×Dic7)⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).62(C2xQ8)448,190
(C2×C14).63(C2×Q8) = C2.(C28⋊Q8)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).63(C2xQ8)448,191
(C2×C14).64(C2×Q8) = (C2×Dic7).Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).64(C2xQ8)448,192
(C2×C14).65(C2×Q8) = (C2×C28).28D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).65(C2xQ8)448,193
(C2×C14).66(C2×Q8) = D7×C2.C42φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).66(C2xQ8)448,197
(C2×C14).67(C2×Q8) = D14⋊(C4⋊C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).67(C2xQ8)448,201
(C2×C14).68(C2×Q8) = D14⋊C4⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).68(C2xQ8)448,202
(C2×C14).69(C2×Q8) = (C2×C4).20D28φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).69(C2xQ8)448,207
(C2×C14).70(C2×Q8) = (C22×D7).Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).70(C2xQ8)448,210
(C2×C14).71(C2×Q8) = (C2×C28).33D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).71(C2xQ8)448,211
(C2×C14).72(C2×Q8) = Dic7⋊(C4⋊C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).72(C2xQ8)448,506
(C2×C14).73(C2×Q8) = C28⋊(C4⋊C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).73(C2xQ8)448,507
(C2×C14).74(C2×Q8) = (C2×Dic7)⋊6Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).74(C2xQ8)448,508
(C2×C14).75(C2×Q8) = C4⋊C4×Dic7φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).75(C2xQ8)448,509
(C2×C14).76(C2×Q8) = (C4×Dic7)⋊8C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).76(C2xQ8)448,510
(C2×C14).77(C2×Q8) = C22.23(Q8×D7)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).77(C2xQ8)448,512
(C2×C14).78(C2×Q8) = (C2×C4)⋊Dic14φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).78(C2xQ8)448,513
(C2×C14).79(C2×Q8) = (C2×C28).287D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).79(C2xQ8)448,514
(C2×C14).80(C2×Q8) = C4⋊C4⋊5Dic7φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).80(C2xQ8)448,515
(C2×C14).81(C2×Q8) = (C2×C28).288D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).81(C2xQ8)448,516
(C2×C14).82(C2×Q8) = (C2×C4).44D28φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).82(C2xQ8)448,517
(C2×C14).83(C2×Q8) = C4⋊(D14⋊C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).83(C2xQ8)448,521
(C2×C14).84(C2×Q8) = D14⋊C4⋊6C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).84(C2xQ8)448,523
(C2×C14).85(C2×Q8) = (C2×C28).289D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).85(C2xQ8)448,526
(C2×C14).86(C2×Q8) = (C2×C4).45D28φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).86(C2xQ8)448,528
(C2×C14).87(C2×Q8) = C14.C22≀C2φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).87(C2xQ8)448,763
(C2×C14).88(C2×Q8) = (Q8×C14)⋊7C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).88(C2xQ8)448,764
(C2×C14).89(C2×Q8) = (C22×Q8)⋊D7φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).89(C2xQ8)448,765
(C2×C14).90(C2×Q8) = C2×Dic7⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).90(C2xQ8)448,949
(C2×C14).91(C2×Q8) = C2×Dic7.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).91(C2xQ8)448,951
(C2×C14).92(C2×Q8) = C2×D7×C4⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).92(C2xQ8)448,954
(C2×C14).93(C2×Q8) = C2×D14⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).93(C2xQ8)448,961
(C2×C14).94(C2×Q8) = C2×D14⋊2Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).94(C2xQ8)448,962
(C2×C14).95(C2×Q8) = C14.102+ 1+4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).95(C2xQ8)448,964
(C2×C14).96(C2×Q8) = C2×Dic7⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).96(C2xQ8)448,1263
(C2×C14).97(C2×Q8) = C2×Q8×Dic7φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).97(C2xQ8)448,1264
(C2×C14).98(C2×Q8) = C2×D14⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).98(C2xQ8)448,1266
(C2×C14).99(C2×Q8) = C14×C2.C42central extension (φ=1)448(C2xC14).99(C2xQ8)448,783
(C2×C14).100(C2×Q8) = C4⋊C4×C28central extension (φ=1)448(C2xC14).100(C2xQ8)448,786
(C2×C14).101(C2×Q8) = C7×C23.7Q8central extension (φ=1)224(C2xC14).101(C2xQ8)448,788
(C2×C14).102(C2×Q8) = C7×C42⋊8C4central extension (φ=1)448(C2xC14).102(C2xQ8)448,790
(C2×C14).103(C2×Q8) = C7×C42⋊9C4central extension (φ=1)448(C2xC14).103(C2xQ8)448,792
(C2×C14).104(C2×Q8) = C7×C23.8Q8central extension (φ=1)224(C2xC14).104(C2xQ8)448,793
(C2×C14).105(C2×Q8) = C7×C23.63C23central extension (φ=1)448(C2xC14).105(C2xQ8)448,795
(C2×C14).106(C2×Q8) = C7×C23.65C23central extension (φ=1)448(C2xC14).106(C2xQ8)448,797
(C2×C14).107(C2×Q8) = C7×C23.67C23central extension (φ=1)448(C2xC14).107(C2xQ8)448,799
(C2×C14).108(C2×Q8) = C7×C23⋊Q8central extension (φ=1)224(C2xC14).108(C2xQ8)448,801
(C2×C14).109(C2×Q8) = C7×C23.78C23central extension (φ=1)448(C2xC14).109(C2xQ8)448,803
(C2×C14).110(C2×Q8) = C7×C23.Q8central extension (φ=1)224(C2xC14).110(C2xQ8)448,804
(C2×C14).111(C2×Q8) = C7×C23.81C23central extension (φ=1)448(C2xC14).111(C2xQ8)448,806
(C2×C14).112(C2×Q8) = C7×C23.4Q8central extension (φ=1)224(C2xC14).112(C2xQ8)448,807
(C2×C14).113(C2×Q8) = C7×C23.83C23central extension (φ=1)448(C2xC14).113(C2xQ8)448,808
(C2×C14).114(C2×Q8) = C4⋊C4×C2×C14central extension (φ=1)448(C2xC14).114(C2xQ8)448,1296
(C2×C14).115(C2×Q8) = Q8×C2×C28central extension (φ=1)448(C2xC14).115(C2xQ8)448,1299
(C2×C14).116(C2×Q8) = C14×C42.C2central extension (φ=1)448(C2xC14).116(C2xQ8)448,1310
(C2×C14).117(C2×Q8) = C14×C4⋊Q8central extension (φ=1)448(C2xC14).117(C2xQ8)448,1314

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