Extensions 1→N→G→Q→1 with N=C3xQ8 and Q=C3xS3

Direct product G=NxQ with N=C3xQ8 and Q=C3xS3
dρLabelID
S3xQ8xC32144S3xQ8xC3^2432,706

Semidirect products G=N:Q with N=C3xQ8 and Q=C3xS3
extensionφ:Q→Out NdρLabelID
(C3xQ8):1(C3xS3) = C3xC6.6S4φ: C3xS3/C3S3 ⊆ Out C3xQ8484(C3xQ8):1(C3xS3)432,617
(C3xQ8):2(C3xS3) = C32xGL2(F3)φ: C3xS3/C3S3 ⊆ Out C3xQ872(C3xQ8):2(C3xS3)432,614
(C3xQ8):3(C3xS3) = C3:S3xSL2(F3)φ: C3xS3/C3C6 ⊆ Out C3xQ872(C3xQ8):3(C3xS3)432,626
(C3xQ8):4(C3xS3) = C3xS3xSL2(F3)φ: C3xS3/S3C3 ⊆ Out C3xQ8484(C3xQ8):4(C3xS3)432,623
(C3xQ8):5(C3xS3) = C3xC32:11SD16φ: C3xS3/C32C2 ⊆ Out C3xQ8144(C3xQ8):5(C3xS3)432,493
(C3xQ8):6(C3xS3) = C3xQ8xC3:S3φ: C3xS3/C32C2 ⊆ Out C3xQ8144(C3xQ8):6(C3xS3)432,716
(C3xQ8):7(C3xS3) = C3xC12.26D6φ: C3xS3/C32C2 ⊆ Out C3xQ8144(C3xQ8):7(C3xS3)432,717
(C3xQ8):8(C3xS3) = C32xQ8:2S3φ: C3xS3/C32C2 ⊆ Out C3xQ8144(C3xQ8):8(C3xS3)432,477
(C3xQ8):9(C3xS3) = C32xQ8:3S3φ: trivial image144(C3xQ8):9(C3xS3)432,707

Non-split extensions G=N.Q with N=C3xQ8 and Q=C3xS3
extensionφ:Q→Out NdρLabelID
(C3xQ8).1(C3xS3) = C32.CSU2(F3)φ: C3xS3/C3S3 ⊆ Out C3xQ814412-(C3xQ8).1(C3xS3)432,243
(C3xQ8).2(C3xS3) = C3xQ8.D9φ: C3xS3/C3S3 ⊆ Out C3xQ81444(C3xQ8).2(C3xS3)432,244
(C3xQ8).3(C3xS3) = C32.GL2(F3)φ: C3xS3/C3S3 ⊆ Out C3xQ87212+(C3xQ8).3(C3xS3)432,245
(C3xQ8).4(C3xS3) = C3xQ8:D9φ: C3xS3/C3S3 ⊆ Out C3xQ81444(C3xQ8).4(C3xS3)432,246
(C3xQ8).5(C3xS3) = C32:CSU2(F3)φ: C3xS3/C3S3 ⊆ Out C3xQ814412-(C3xQ8).5(C3xS3)432,247
(C3xQ8).6(C3xS3) = C32:2GL2(F3)φ: C3xS3/C3S3 ⊆ Out C3xQ87212+(C3xQ8).6(C3xS3)432,248
(C3xQ8).7(C3xS3) = C3xC6.5S4φ: C3xS3/C3S3 ⊆ Out C3xQ8484(C3xQ8).7(C3xS3)432,616
(C3xQ8).8(C3xS3) = C9xCSU2(F3)φ: C3xS3/C3S3 ⊆ Out C3xQ81442(C3xQ8).8(C3xS3)432,240
(C3xQ8).9(C3xS3) = C9xGL2(F3)φ: C3xS3/C3S3 ⊆ Out C3xQ8722(C3xQ8).9(C3xS3)432,241
(C3xQ8).10(C3xS3) = C32xCSU2(F3)φ: C3xS3/C3S3 ⊆ Out C3xQ8144(C3xQ8).10(C3xS3)432,613
(C3xQ8).11(C3xS3) = Dic9.A4φ: C3xS3/C3C6 ⊆ Out C3xQ814412+(C3xQ8).11(C3xS3)432,261
(C3xQ8).12(C3xS3) = Dic9.2A4φ: C3xS3/C3C6 ⊆ Out C3xQ81444+(C3xQ8).12(C3xS3)432,262
(C3xQ8).13(C3xS3) = D18.A4φ: C3xS3/C3C6 ⊆ Out C3xQ87212-(C3xQ8).13(C3xS3)432,263
(C3xQ8).14(C3xS3) = D9xSL2(F3)φ: C3xS3/C3C6 ⊆ Out C3xQ8724-(C3xQ8).14(C3xS3)432,264
(C3xQ8).15(C3xS3) = C6.(S3xA4)φ: C3xS3/C3C6 ⊆ Out C3xQ87212+(C3xQ8).15(C3xS3)432,269
(C3xQ8).16(C3xS3) = Q8:He3:C2φ: C3xS3/C3C6 ⊆ Out C3xQ87212-(C3xQ8).16(C3xS3)432,270
(C3xQ8).17(C3xS3) = C3:Dic3.2A4φ: C3xS3/C3C6 ⊆ Out C3xQ8144(C3xQ8).17(C3xS3)432,625
(C3xQ8).18(C3xS3) = Q8:C9:3S3φ: C3xS3/S3C3 ⊆ Out C3xQ81444(C3xQ8).18(C3xS3)432,267
(C3xQ8).19(C3xS3) = S3xQ8:C9φ: C3xS3/S3C3 ⊆ Out C3xQ81444(C3xQ8).19(C3xS3)432,268
(C3xQ8).20(C3xS3) = C3xDic3.A4φ: C3xS3/S3C3 ⊆ Out C3xQ8484(C3xQ8).20(C3xS3)432,622
(C3xQ8).21(C3xS3) = C3xC9:Q16φ: C3xS3/C32C2 ⊆ Out C3xQ81444(C3xQ8).21(C3xS3)432,156
(C3xQ8).22(C3xS3) = C3xQ8:2D9φ: C3xS3/C32C2 ⊆ Out C3xQ81444(C3xQ8).22(C3xS3)432,157
(C3xQ8).23(C3xS3) = He3:6Q16φ: C3xS3/C32C2 ⊆ Out C3xQ814412-(C3xQ8).23(C3xS3)432,160
(C3xQ8).24(C3xS3) = He3:10SD16φ: C3xS3/C32C2 ⊆ Out C3xQ87212+(C3xQ8).24(C3xS3)432,161
(C3xQ8).25(C3xS3) = Dic18.C6φ: C3xS3/C32C2 ⊆ Out C3xQ814412-(C3xQ8).25(C3xS3)432,162
(C3xQ8).26(C3xS3) = D36.C6φ: C3xS3/C32C2 ⊆ Out C3xQ87212+(C3xQ8).26(C3xS3)432,163
(C3xQ8).27(C3xS3) = C3xQ8xD9φ: C3xS3/C32C2 ⊆ Out C3xQ81444(C3xQ8).27(C3xS3)432,364
(C3xQ8).28(C3xS3) = C3xQ8:3D9φ: C3xS3/C32C2 ⊆ Out C3xQ81444(C3xQ8).28(C3xS3)432,365
(C3xQ8).29(C3xS3) = Q8xC32:C6φ: C3xS3/C32C2 ⊆ Out C3xQ87212-(C3xQ8).29(C3xS3)432,368
(C3xQ8).30(C3xS3) = (Q8xHe3):C2φ: C3xS3/C32C2 ⊆ Out C3xQ87212+(C3xQ8).30(C3xS3)432,369
(C3xQ8).31(C3xS3) = Q8xC9:C6φ: C3xS3/C32C2 ⊆ Out C3xQ87212-(C3xQ8).31(C3xS3)432,370
(C3xQ8).32(C3xS3) = D36:3C6φ: C3xS3/C32C2 ⊆ Out C3xQ87212+(C3xQ8).32(C3xS3)432,371
(C3xQ8).33(C3xS3) = C3xC32:7Q16φ: C3xS3/C32C2 ⊆ Out C3xQ8144(C3xQ8).33(C3xS3)432,494
(C3xQ8).34(C3xS3) = C9xQ8:2S3φ: C3xS3/C32C2 ⊆ Out C3xQ81444(C3xQ8).34(C3xS3)432,158
(C3xQ8).35(C3xS3) = C9xC3:Q16φ: C3xS3/C32C2 ⊆ Out C3xQ81444(C3xQ8).35(C3xS3)432,159
(C3xQ8).36(C3xS3) = C32xC3:Q16φ: C3xS3/C32C2 ⊆ Out C3xQ8144(C3xQ8).36(C3xS3)432,478
(C3xQ8).37(C3xS3) = S3xQ8xC9φ: trivial image1444(C3xQ8).37(C3xS3)432,366
(C3xQ8).38(C3xS3) = C9xQ8:3S3φ: trivial image1444(C3xQ8).38(C3xS3)432,367

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