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Extensions 1→N→G→Q→1 with N=C22×D7 and Q=C2×C4

Direct product G=N×Q with N=C22×D7 and Q=C2×C4
dρLabelID
D7×C23×C4224D7xC2^3xC4448,1366

Semidirect products G=N:Q with N=C22×D7 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C22×D7)⋊1(C2×C4) = D7×C23⋊C4φ: C2×C4/C2 → C4 ⊆ Out C22×D7568+(C2^2xD7):1(C2xC4)448,277
(C22×D7)⋊2(C2×C4) = C2×C23.1D14φ: C2×C4/C2 → C4 ⊆ Out C22×D7112(C2^2xD7):2(C2xC4)448,488
(C22×D7)⋊3(C2×C4) = (C2×C4)⋊9D28φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7):3(C2xC4)448,199
(C22×D7)⋊4(C2×C4) = C23.45D28φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7):4(C2xC4)448,492
(C22×D7)⋊5(C2×C4) = C23.28D28φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7):5(C2xC4)448,747
(C22×D7)⋊6(C2×C4) = C24.24D14φ: C2×C4/C2 → C22 ⊆ Out C22×D7112(C2^2xD7):6(C2xC4)448,939
(C22×D7)⋊7(C2×C4) = C42⋊7D14φ: C2×C4/C2 → C22 ⊆ Out C22×D7112(C2^2xD7):7(C2xC4)448,974
(C22×D7)⋊8(C2×C4) = C42⋊11D14φ: C2×C4/C2 → C22 ⊆ Out C22×D7112(C2^2xD7):8(C2xC4)448,998
(C22×D7)⋊9(C2×C4) = C2×C4×D28φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7):9(C2xC4)448,926
(C22×D7)⋊10(C2×C4) = C2×Dic7⋊4D4φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7):10(C2xC4)448,938
(C22×D7)⋊11(C2×C4) = C2×D28⋊C4φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7):11(C2xC4)448,956
(C22×D7)⋊12(C2×C4) = C4×D4×D7φ: C2×C4/C4 → C2 ⊆ Out C22×D7112(C2^2xD7):12(C2xC4)448,997
(C22×D7)⋊13(C2×C4) = C2×C4×C7⋊D4φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7):13(C2xC4)448,1241
(C22×D7)⋊14(C2×C4) = C2×D7×C22⋊C4φ: C2×C4/C22 → C2 ⊆ Out C22×D7112(C2^2xD7):14(C2xC4)448,937
(C22×D7)⋊15(C2×C4) = C22×D14⋊C4φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7):15(C2xC4)448,1240

Non-split extensions G=N.Q with N=C22×D7 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C22×D7).1(C2×C4) = C23⋊C4⋊5D7φ: C2×C4/C2 → C4 ⊆ Out C22×D71128-(C2^2xD7).1(C2xC4)448,274
(C22×D7).2(C2×C4) = D7×C4.D4φ: C2×C4/C2 → C4 ⊆ Out C22×D7568+(C2^2xD7).2(C2xC4)448,278
(C22×D7).3(C2×C4) = M4(2).21D14φ: C2×C4/C2 → C4 ⊆ Out C22×D71128+(C2^2xD7).3(C2xC4)448,285
(C22×D7).4(C2×C4) = (C2×D28)⋊13C4φ: C2×C4/C2 → C4 ⊆ Out C22×D71124(C2^2xD7).4(C2xC4)448,540
(C22×D7).5(C2×C4) = C2×C28.46D4φ: C2×C4/C2 → C4 ⊆ Out C22×D7112(C2^2xD7).5(C2xC4)448,664
(C22×D7).6(C2×C4) = M4(2).31D14φ: C2×C4/C2 → C4 ⊆ Out C22×D71124(C2^2xD7).6(C2xC4)448,666
(C22×D7).7(C2×C4) = D14⋊C4⋊5C4φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).7(C2xC4)448,203
(C22×D7).8(C2×C4) = C2.(C4×D28)φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).8(C2xC4)448,204
(C22×D7).9(C2×C4) = C8⋊6D28φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).9(C2xC4)448,222
(C22×D7).10(C2×C4) = C42.243D14φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).10(C2xC4)448,224
(C22×D7).11(C2×C4) = C42.185D14φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).11(C2xC4)448,243
(C22×D7).12(C2×C4) = D14⋊C8⋊C2φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).12(C2xC4)448,261
(C22×D7).13(C2×C4) = Dic7⋊M4(2)φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).13(C2xC4)448,263
(C22×D7).14(C2×C4) = C7⋊C8⋊26D4φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).14(C2xC4)448,264
(C22×D7).15(C2×C4) = M4(2).19D14φ: C2×C4/C2 → C22 ⊆ Out C22×D71128-(C2^2xD7).15(C2xC4)448,279
(C22×D7).16(C2×C4) = C28⋊2M4(2)φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).16(C2xC4)448,372
(C22×D7).17(C2×C4) = C42.31D14φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).17(C2xC4)448,374
(C22×D7).18(C2×C4) = (C2×C4)⋊6D28φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).18(C2xC4)448,473
(C22×D7).19(C2×C4) = (C2×C42)⋊D7φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).19(C2xC4)448,474
(C22×D7).20(C2×C4) = C24.13D14φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).20(C2xC4)448,491
(C22×D7).21(C2×C4) = (C2×D28)⋊10C4φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).21(C2xC4)448,522
(C22×D7).22(C2×C4) = D14⋊C4⋊7C4φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).22(C2xC4)448,524
(C22×D7).23(C2×C4) = (C22×C8)⋊D7φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).23(C2xC4)448,644
(C22×D7).24(C2×C4) = C56⋊32D4φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).24(C2xC4)448,645
(C22×D7).25(C2×C4) = C56⋊18D4φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).25(C2xC4)448,662
(C22×D7).26(C2×C4) = (C2×D28).14C4φ: C2×C4/C2 → C22 ⊆ Out C22×D7224(C2^2xD7).26(C2xC4)448,663
(C22×D7).27(C2×C4) = C28.70C24φ: C2×C4/C2 → C22 ⊆ Out C22×D71124(C2^2xD7).27(C2xC4)448,1198
(C22×D7).28(C2×C4) = C56.49C23φ: C2×C4/C2 → C22 ⊆ Out C22×D71124(C2^2xD7).28(C2xC4)448,1203
(C22×D7).29(C2×C4) = D14⋊C42φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).29(C2xC4)448,200
(C22×D7).30(C2×C4) = D14⋊C4⋊C4φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).30(C2xC4)448,202
(C22×D7).31(C2×C4) = C8×D28φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).31(C2xC4)448,220
(C22×D7).32(C2×C4) = D14.C42φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).32(C2xC4)448,223
(C22×D7).33(C2×C4) = C8⋊9D28φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).33(C2xC4)448,240
(C22×D7).34(C2×C4) = D14.4C42φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).34(C2xC4)448,242
(C22×D7).35(C2×C4) = C7⋊D4⋊C8φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).35(C2xC4)448,259
(C22×D7).36(C2×C4) = D14⋊2M4(2)φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).36(C2xC4)448,262
(C22×D7).37(C2×C4) = D28⋊C8φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).37(C2xC4)448,368
(C22×D7).38(C2×C4) = D14⋊3M4(2)φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).38(C2xC4)448,370
(C22×D7).39(C2×C4) = C42.30D14φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).39(C2xC4)448,373
(C22×D7).40(C2×C4) = C4×D14⋊C4φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).40(C2xC4)448,472
(C22×D7).41(C2×C4) = C24.12D14φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).41(C2xC4)448,490
(C22×D7).42(C2×C4) = D14⋊C4⋊6C4φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).42(C2xC4)448,523
(C22×D7).43(C2×C4) = C8×C7⋊D4φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).43(C2xC4)448,643
(C22×D7).44(C2×C4) = C56⋊D4φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).44(C2xC4)448,661
(C22×D7).45(C2×C4) = C2×D28.2C4φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).45(C2xC4)448,1191
(C22×D7).46(C2×C4) = C2×D28.C4φ: C2×C4/C4 → C2 ⊆ Out C22×D7224(C2^2xD7).46(C2xC4)448,1197
(C22×D7).47(C2×C4) = D7×C8○D4φ: C2×C4/C4 → C2 ⊆ Out C22×D71124(C2^2xD7).47(C2xC4)448,1202
(C22×D7).48(C2×C4) = C22.58(D4×D7)φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).48(C2xC4)448,198
(C22×D7).49(C2×C4) = D14⋊(C4⋊C4)φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).49(C2xC4)448,201
(C22×D7).50(C2×C4) = C42.282D14φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).50(C2xC4)448,219
(C22×D7).51(C2×C4) = C4×C8⋊D7φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).51(C2xC4)448,221
(C22×D7).52(C2×C4) = C42.182D14φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).52(C2xC4)448,239
(C22×D7).53(C2×C4) = Dic7.C42φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).53(C2xC4)448,241
(C22×D7).54(C2×C4) = D7×C22⋊C8φ: C2×C4/C22 → C2 ⊆ Out C22×D7112(C2^2xD7).54(C2xC4)448,258
(C22×D7).55(C2×C4) = D14⋊M4(2)φ: C2×C4/C22 → C2 ⊆ Out C22×D7112(C2^2xD7).55(C2xC4)448,260
(C22×D7).56(C2×C4) = D7×C4.10D4φ: C2×C4/C22 → C2 ⊆ Out C22×D71128-(C2^2xD7).56(C2xC4)448,284
(C22×D7).57(C2×C4) = C42.200D14φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).57(C2xC4)448,367
(C22×D7).58(C2×C4) = C42.202D14φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).58(C2xC4)448,369
(C22×D7).59(C2×C4) = C28⋊M4(2)φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).59(C2xC4)448,371
(C22×D7).60(C2×C4) = C23.44D28φ: C2×C4/C22 → C2 ⊆ Out C22×D7112(C2^2xD7).60(C2xC4)448,489
(C22×D7).61(C2×C4) = C4⋊(D14⋊C4)φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).61(C2xC4)448,521
(C22×D7).62(C2×C4) = C2×D14⋊C8φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).62(C2xC4)448,642
(C22×D7).63(C2×C4) = D14⋊6M4(2)φ: C2×C4/C22 → C2 ⊆ Out C22×D7112(C2^2xD7).63(C2xC4)448,660
(C22×D7).64(C2×C4) = C2×C42⋊D7φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).64(C2xC4)448,925
(C22×D7).65(C2×C4) = C2×C4⋊C4⋊7D7φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).65(C2xC4)448,955
(C22×D7).66(C2×C4) = D7×C42⋊C2φ: C2×C4/C22 → C2 ⊆ Out C22×D7112(C2^2xD7).66(C2xC4)448,973
(C22×D7).67(C2×C4) = C22×C8⋊D7φ: C2×C4/C22 → C2 ⊆ Out C22×D7224(C2^2xD7).67(C2xC4)448,1190
(C22×D7).68(C2×C4) = C2×D7×M4(2)φ: C2×C4/C22 → C2 ⊆ Out C22×D7112(C2^2xD7).68(C2xC4)448,1196
(C22×D7).69(C2×C4) = D7×C2.C42φ: trivial image224(C2^2xD7).69(C2xC4)448,197
(C22×D7).70(C2×C4) = D7×C4×C8φ: trivial image224(C2^2xD7).70(C2xC4)448,218
(C22×D7).71(C2×C4) = D7×C8⋊C4φ: trivial image224(C2^2xD7).71(C2xC4)448,238
(C22×D7).72(C2×C4) = D7×C4⋊C8φ: trivial image224(C2^2xD7).72(C2xC4)448,366
(C22×D7).73(C2×C4) = D7×C2×C42φ: trivial image224(C2^2xD7).73(C2xC4)448,924
(C22×D7).74(C2×C4) = C2×D7×C4⋊C4φ: trivial image224(C2^2xD7).74(C2xC4)448,954
(C22×D7).75(C2×C4) = D7×C22×C8φ: trivial image224(C2^2xD7).75(C2xC4)448,1189

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