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Extensions 1→N→G→Q→1 with N=C22×S3 and Q=C2×C4

Direct product G=N×Q with N=C22×S3 and Q=C2×C4
dρLabelID
S3×C23×C496S3xC2^3xC4192,1511

Semidirect products G=N:Q with N=C22×S3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C22×S3)⋊1(C2×C4) = S3×C23⋊C4φ: C2×C4/C2 → C4 ⊆ Out C22×S3248+(C2^2xS3):1(C2xC4)192,302
(C22×S3)⋊2(C2×C4) = C2×C23.6D6φ: C2×C4/C2 → C4 ⊆ Out C22×S348(C2^2xS3):2(C2xC4)192,513
(C22×S3)⋊3(C2×C4) = (C2×C4)⋊9D12φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3):3(C2xC4)192,224
(C22×S3)⋊4(C2×C4) = C24.60D6φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3):4(C2xC4)192,517
(C22×S3)⋊5(C2×C4) = C24.76D6φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3):5(C2xC4)192,772
(C22×S3)⋊6(C2×C4) = C24.35D6φ: C2×C4/C2 → C22 ⊆ Out C22×S348(C2^2xS3):6(C2xC4)192,1045
(C22×S3)⋊7(C2×C4) = C42⋊9D6φ: C2×C4/C2 → C22 ⊆ Out C22×S348(C2^2xS3):7(C2xC4)192,1080
(C22×S3)⋊8(C2×C4) = C42⋊13D6φ: C2×C4/C2 → C22 ⊆ Out C22×S348(C2^2xS3):8(C2xC4)192,1104
(C22×S3)⋊9(C2×C4) = C2×C4×D12φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3):9(C2xC4)192,1032
(C22×S3)⋊10(C2×C4) = C2×Dic3⋊4D4φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3):10(C2xC4)192,1044
(C22×S3)⋊11(C2×C4) = C2×Dic3⋊5D4φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3):11(C2xC4)192,1062
(C22×S3)⋊12(C2×C4) = C4×S3×D4φ: C2×C4/C4 → C2 ⊆ Out C22×S348(C2^2xS3):12(C2xC4)192,1103
(C22×S3)⋊13(C2×C4) = C2×C4×C3⋊D4φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3):13(C2xC4)192,1347
(C22×S3)⋊14(C2×C4) = C2×S3×C22⋊C4φ: C2×C4/C22 → C2 ⊆ Out C22×S348(C2^2xS3):14(C2xC4)192,1043
(C22×S3)⋊15(C2×C4) = C22×D6⋊C4φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3):15(C2xC4)192,1346

Non-split extensions G=N.Q with N=C22×S3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C22×S3).1(C2×C4) = C23⋊C4⋊5S3φ: C2×C4/C2 → C4 ⊆ Out C22×S3488-(C2^2xS3).1(C2xC4)192,299
(C22×S3).2(C2×C4) = S3×C4.D4φ: C2×C4/C2 → C4 ⊆ Out C22×S3248+(C2^2xS3).2(C2xC4)192,303
(C22×S3).3(C2×C4) = M4(2).21D6φ: C2×C4/C2 → C4 ⊆ Out C22×S3488+(C2^2xS3).3(C2xC4)192,310
(C22×S3).4(C2×C4) = (C2×D12)⋊13C4φ: C2×C4/C2 → C4 ⊆ Out C22×S3484(C2^2xS3).4(C2xC4)192,565
(C22×S3).5(C2×C4) = C2×C12.46D4φ: C2×C4/C2 → C4 ⊆ Out C22×S348(C2^2xS3).5(C2xC4)192,689
(C22×S3).6(C2×C4) = M4(2).31D6φ: C2×C4/C2 → C4 ⊆ Out C22×S3484(C2^2xS3).6(C2xC4)192,691
(C22×S3).7(C2×C4) = D6⋊C4⋊5C4φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).7(C2xC4)192,228
(C22×S3).8(C2×C4) = D6⋊C4⋊3C4φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).8(C2xC4)192,229
(C22×S3).9(C2×C4) = C8⋊6D12φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).9(C2xC4)192,247
(C22×S3).10(C2×C4) = C42.243D6φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).10(C2xC4)192,249
(C22×S3).11(C2×C4) = C42.185D6φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).11(C2xC4)192,268
(C22×S3).12(C2×C4) = D6⋊C8⋊C2φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).12(C2xC4)192,286
(C22×S3).13(C2×C4) = Dic3⋊M4(2)φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).13(C2xC4)192,288
(C22×S3).14(C2×C4) = C3⋊C8⋊26D4φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).14(C2xC4)192,289
(C22×S3).15(C2×C4) = M4(2).19D6φ: C2×C4/C2 → C22 ⊆ Out C22×S3488-(C2^2xS3).15(C2xC4)192,304
(C22×S3).16(C2×C4) = C12⋊2M4(2)φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).16(C2xC4)192,397
(C22×S3).17(C2×C4) = C42.31D6φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).17(C2xC4)192,399
(C22×S3).18(C2×C4) = (C2×C4)⋊6D12φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).18(C2xC4)192,498
(C22×S3).19(C2×C4) = (C2×C42)⋊3S3φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).19(C2xC4)192,499
(C22×S3).20(C2×C4) = C24.24D6φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).20(C2xC4)192,516
(C22×S3).21(C2×C4) = (C2×D12)⋊10C4φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).21(C2xC4)192,547
(C22×S3).22(C2×C4) = D6⋊C4⋊7C4φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).22(C2xC4)192,549
(C22×S3).23(C2×C4) = (C22×C8)⋊7S3φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).23(C2xC4)192,669
(C22×S3).24(C2×C4) = C24⋊33D4φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).24(C2xC4)192,670
(C22×S3).25(C2×C4) = C24⋊21D4φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).25(C2xC4)192,687
(C22×S3).26(C2×C4) = D6⋊C8⋊40C2φ: C2×C4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).26(C2xC4)192,688
(C22×S3).27(C2×C4) = M4(2)⋊26D6φ: C2×C4/C2 → C22 ⊆ Out C22×S3484(C2^2xS3).27(C2xC4)192,1304
(C22×S3).28(C2×C4) = M4(2)⋊28D6φ: C2×C4/C2 → C22 ⊆ Out C22×S3484(C2^2xS3).28(C2xC4)192,1309
(C22×S3).29(C2×C4) = D6⋊C42φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).29(C2xC4)192,225
(C22×S3).30(C2×C4) = D6⋊C4⋊C4φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).30(C2xC4)192,227
(C22×S3).31(C2×C4) = C8×D12φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).31(C2xC4)192,245
(C22×S3).32(C2×C4) = D6.C42φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).32(C2xC4)192,248
(C22×S3).33(C2×C4) = C8⋊9D12φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).33(C2xC4)192,265
(C22×S3).34(C2×C4) = D6.4C42φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).34(C2xC4)192,267
(C22×S3).35(C2×C4) = C3⋊D4⋊C8φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).35(C2xC4)192,284
(C22×S3).36(C2×C4) = D6⋊2M4(2)φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).36(C2xC4)192,287
(C22×S3).37(C2×C4) = D12⋊C8φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).37(C2xC4)192,393
(C22×S3).38(C2×C4) = D6⋊3M4(2)φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).38(C2xC4)192,395
(C22×S3).39(C2×C4) = C42.30D6φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).39(C2xC4)192,398
(C22×S3).40(C2×C4) = C4×D6⋊C4φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).40(C2xC4)192,497
(C22×S3).41(C2×C4) = C24.23D6φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).41(C2xC4)192,515
(C22×S3).42(C2×C4) = D6⋊C4⋊6C4φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).42(C2xC4)192,548
(C22×S3).43(C2×C4) = C8×C3⋊D4φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).43(C2xC4)192,668
(C22×S3).44(C2×C4) = C24⋊D4φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).44(C2xC4)192,686
(C22×S3).45(C2×C4) = C2×C8○D12φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).45(C2xC4)192,1297
(C22×S3).46(C2×C4) = C2×D12.C4φ: C2×C4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).46(C2xC4)192,1303
(C22×S3).47(C2×C4) = S3×C8○D4φ: C2×C4/C4 → C2 ⊆ Out C22×S3484(C2^2xS3).47(C2xC4)192,1308
(C22×S3).48(C2×C4) = C22.58(S3×D4)φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).48(C2xC4)192,223
(C22×S3).49(C2×C4) = D6⋊(C4⋊C4)φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).49(C2xC4)192,226
(C22×S3).50(C2×C4) = C42.282D6φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).50(C2xC4)192,244
(C22×S3).51(C2×C4) = C4×C8⋊S3φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).51(C2xC4)192,246
(C22×S3).52(C2×C4) = C42.182D6φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).52(C2xC4)192,264
(C22×S3).53(C2×C4) = Dic3⋊5M4(2)φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).53(C2xC4)192,266
(C22×S3).54(C2×C4) = S3×C22⋊C8φ: C2×C4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).54(C2xC4)192,283
(C22×S3).55(C2×C4) = D6⋊M4(2)φ: C2×C4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).55(C2xC4)192,285
(C22×S3).56(C2×C4) = S3×C4.10D4φ: C2×C4/C22 → C2 ⊆ Out C22×S3488-(C2^2xS3).56(C2xC4)192,309
(C22×S3).57(C2×C4) = C42.200D6φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).57(C2xC4)192,392
(C22×S3).58(C2×C4) = C42.202D6φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).58(C2xC4)192,394
(C22×S3).59(C2×C4) = C12⋊M4(2)φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).59(C2xC4)192,396
(C22×S3).60(C2×C4) = C24.59D6φ: C2×C4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).60(C2xC4)192,514
(C22×S3).61(C2×C4) = C4⋊(D6⋊C4)φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).61(C2xC4)192,546
(C22×S3).62(C2×C4) = C2×D6⋊C8φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).62(C2xC4)192,667
(C22×S3).63(C2×C4) = D6⋊6M4(2)φ: C2×C4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).63(C2xC4)192,685
(C22×S3).64(C2×C4) = C2×C42⋊2S3φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).64(C2xC4)192,1031
(C22×S3).65(C2×C4) = C2×C4⋊C4⋊7S3φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).65(C2xC4)192,1061
(C22×S3).66(C2×C4) = S3×C42⋊C2φ: C2×C4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).66(C2xC4)192,1079
(C22×S3).67(C2×C4) = C22×C8⋊S3φ: C2×C4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).67(C2xC4)192,1296
(C22×S3).68(C2×C4) = C2×S3×M4(2)φ: C2×C4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).68(C2xC4)192,1302
(C22×S3).69(C2×C4) = S3×C2.C42φ: trivial image96(C2^2xS3).69(C2xC4)192,222
(C22×S3).70(C2×C4) = S3×C4×C8φ: trivial image96(C2^2xS3).70(C2xC4)192,243
(C22×S3).71(C2×C4) = S3×C8⋊C4φ: trivial image96(C2^2xS3).71(C2xC4)192,263
(C22×S3).72(C2×C4) = S3×C4⋊C8φ: trivial image96(C2^2xS3).72(C2xC4)192,391
(C22×S3).73(C2×C4) = S3×C2×C42φ: trivial image96(C2^2xS3).73(C2xC4)192,1030
(C22×S3).74(C2×C4) = C2×S3×C4⋊C4φ: trivial image96(C2^2xS3).74(C2xC4)192,1060
(C22×S3).75(C2×C4) = S3×C22×C8φ: trivial image96(C2^2xS3).75(C2xC4)192,1295

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