# Extensions 1→N→G→Q→1 with N=C23 and Q=C4×S3

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

Semidirect products G=N:Q with N=C23 and Q=C4×S3
extensionφ:Q→Aut NdρLabelID
C23⋊(C4×S3) = C2×C4×S4φ: C4×S3/C4S3 ⊆ Aut C2324C2^3:(C4xS3)192,1469
C232(C4×S3) = S3×C23⋊C4φ: C4×S3/S3C4 ⊆ Aut C23248+C2^3:2(C4xS3)192,302
C233(C4×S3) = C24.23D6φ: C4×S3/C6C22 ⊆ Aut C2396C2^3:3(C4xS3)192,515
C234(C4×S3) = C24.35D6φ: C4×S3/C6C22 ⊆ Aut C2348C2^3:4(C4xS3)192,1045
C235(C4×S3) = C2×Dic34D4φ: C4×S3/Dic3C2 ⊆ Aut C2396C2^3:5(C4xS3)192,1044
C236(C4×S3) = C2×C4×C3⋊D4φ: C4×S3/C12C2 ⊆ Aut C2396C2^3:6(C4xS3)192,1347
C237(C4×S3) = C2×S3×C22⋊C4φ: C4×S3/D6C2 ⊆ Aut C2348C2^3:7(C4xS3)192,1043

Non-split extensions G=N.Q with N=C23 and Q=C4×S3
extensionφ:Q→Aut NdρLabelID
C23.1(C4×S3) = C8×S4φ: C4×S3/C4S3 ⊆ Aut C23243C2^3.1(C4xS3)192,958
C23.2(C4×S3) = C8⋊S4φ: C4×S3/C4S3 ⊆ Aut C23246C2^3.2(C4xS3)192,959
C23.3(C4×S3) = C4×A4⋊C4φ: C4×S3/C4S3 ⊆ Aut C2348C2^3.3(C4xS3)192,969
C23.4(C4×S3) = C24.3D6φ: C4×S3/C4S3 ⊆ Aut C2348C2^3.4(C4xS3)192,970
C23.5(C4×S3) = C24.5D6φ: C4×S3/C4S3 ⊆ Aut C2324C2^3.5(C4xS3)192,972
C23.6(C4×S3) = C3⋊C2≀C4φ: C4×S3/S3C4 ⊆ Aut C23248+C2^3.6(C4xS3)192,30
C23.7(C4×S3) = (C2×D4).D6φ: C4×S3/S3C4 ⊆ Aut C23488-C2^3.7(C4xS3)192,31
C23.8(C4×S3) = C23.3D12φ: C4×S3/S3C4 ⊆ Aut C23248+C2^3.8(C4xS3)192,34
C23.9(C4×S3) = C23.4D12φ: C4×S3/S3C4 ⊆ Aut C23488-C2^3.9(C4xS3)192,35
C23.10(C4×S3) = C23⋊C45S3φ: C4×S3/S3C4 ⊆ Aut C23488-C2^3.10(C4xS3)192,299
C23.11(C4×S3) = S3×C4.D4φ: C4×S3/S3C4 ⊆ Aut C23248+C2^3.11(C4xS3)192,303
C23.12(C4×S3) = M4(2).19D6φ: C4×S3/S3C4 ⊆ Aut C23488-C2^3.12(C4xS3)192,304
C23.13(C4×S3) = C24.12D6φ: C4×S3/C6C22 ⊆ Aut C2348C2^3.13(C4xS3)192,85
C23.14(C4×S3) = (C2×C24)⋊C4φ: C4×S3/C6C22 ⊆ Aut C23484C2^3.14(C4xS3)192,115
C23.15(C4×S3) = M4(2)⋊4Dic3φ: C4×S3/C6C22 ⊆ Aut C23484C2^3.15(C4xS3)192,118
C23.16(C4×S3) = C24⋊C4⋊C2φ: C4×S3/C6C22 ⊆ Aut C2396C2^3.16(C4xS3)192,279
C23.17(C4×S3) = D6⋊C8⋊C2φ: C4×S3/C6C22 ⊆ Aut C2396C2^3.17(C4xS3)192,286
C23.18(C4×S3) = D62M4(2)φ: C4×S3/C6C22 ⊆ Aut C2396C2^3.18(C4xS3)192,287
C23.19(C4×S3) = Dic3⋊M4(2)φ: C4×S3/C6C22 ⊆ Aut C2396C2^3.19(C4xS3)192,288
C23.20(C4×S3) = C24.14D6φ: C4×S3/C6C22 ⊆ Aut C2396C2^3.20(C4xS3)192,503
C23.21(C4×S3) = C24.15D6φ: C4×S3/C6C22 ⊆ Aut C2396C2^3.21(C4xS3)192,504
C23.22(C4×S3) = C2×C23.6D6φ: C4×S3/C6C22 ⊆ Aut C2348C2^3.22(C4xS3)192,513
C23.23(C4×S3) = C24.24D6φ: C4×S3/C6C22 ⊆ Aut C2396C2^3.23(C4xS3)192,516
C23.24(C4×S3) = C24⋊D4φ: C4×S3/C6C22 ⊆ Aut C2396C2^3.24(C4xS3)192,686
C23.25(C4×S3) = C2421D4φ: C4×S3/C6C22 ⊆ Aut C2396C2^3.25(C4xS3)192,687
C23.26(C4×S3) = M4(2).31D6φ: C4×S3/C6C22 ⊆ Aut C23484C2^3.26(C4xS3)192,691
C23.27(C4×S3) = M4(2)⋊26D6φ: C4×S3/C6C22 ⊆ Aut C23484C2^3.27(C4xS3)192,1304
C23.28(C4×S3) = C3⋊D4⋊C8φ: C4×S3/Dic3C2 ⊆ Aut C2396C2^3.28(C4xS3)192,284
C23.29(C4×S3) = C3⋊C826D4φ: C4×S3/Dic3C2 ⊆ Aut C2396C2^3.29(C4xS3)192,289
C23.30(C4×S3) = C24.57D6φ: C4×S3/Dic3C2 ⊆ Aut C2396C2^3.30(C4xS3)192,505
C23.31(C4×S3) = C24.60D6φ: C4×S3/Dic3C2 ⊆ Aut C2396C2^3.31(C4xS3)192,517
C23.32(C4×S3) = C12.88(C2×Q8)φ: C4×S3/Dic3C2 ⊆ Aut C2396C2^3.32(C4xS3)192,678
C23.33(C4×S3) = C12.7C42φ: C4×S3/Dic3C2 ⊆ Aut C2396C2^3.33(C4xS3)192,681
C23.34(C4×S3) = D6⋊C840C2φ: C4×S3/Dic3C2 ⊆ Aut C2396C2^3.34(C4xS3)192,688
C23.35(C4×S3) = C2×D12.C4φ: C4×S3/Dic3C2 ⊆ Aut C2396C2^3.35(C4xS3)192,1303
C23.36(C4×S3) = C12.12C42φ: C4×S3/C12C2 ⊆ Aut C2396C2^3.36(C4xS3)192,660
C23.37(C4×S3) = Dic3⋊C8⋊C2φ: C4×S3/C12C2 ⊆ Aut C2396C2^3.37(C4xS3)192,661
C23.38(C4×S3) = C8×C3⋊D4φ: C4×S3/C12C2 ⊆ Aut C2396C2^3.38(C4xS3)192,668
C23.39(C4×S3) = (C22×C8)⋊7S3φ: C4×S3/C12C2 ⊆ Aut C2396C2^3.39(C4xS3)192,669
C23.40(C4×S3) = C2433D4φ: C4×S3/C12C2 ⊆ Aut C2396C2^3.40(C4xS3)192,670
C23.41(C4×S3) = C4×C6.D4φ: C4×S3/C12C2 ⊆ Aut C2396C2^3.41(C4xS3)192,768
C23.42(C4×S3) = C24.73D6φ: C4×S3/C12C2 ⊆ Aut C2396C2^3.42(C4xS3)192,769
C23.43(C4×S3) = C24.76D6φ: C4×S3/C12C2 ⊆ Aut C2396C2^3.43(C4xS3)192,772
C23.44(C4×S3) = C2×C8○D12φ: C4×S3/C12C2 ⊆ Aut C2396C2^3.44(C4xS3)192,1297
C23.45(C4×S3) = (C22×S3)⋊C8φ: C4×S3/D6C2 ⊆ Aut C2348C2^3.45(C4xS3)192,27
C23.46(C4×S3) = (C2×Dic3)⋊C8φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.46(C4xS3)192,28
C23.47(C4×S3) = C24.13D6φ: C4×S3/D6C2 ⊆ Aut C2348C2^3.47(C4xS3)192,86
C23.48(C4×S3) = M4(2)⋊Dic3φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.48(C4xS3)192,113
C23.49(C4×S3) = Dic3.5M4(2)φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.49(C4xS3)192,277
C23.50(C4×S3) = Dic3.M4(2)φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.50(C4xS3)192,278
C23.51(C4×S3) = S3×C22⋊C8φ: C4×S3/D6C2 ⊆ Aut C2348C2^3.51(C4xS3)192,283
C23.52(C4×S3) = D6⋊M4(2)φ: C4×S3/D6C2 ⊆ Aut C2348C2^3.52(C4xS3)192,285
C23.53(C4×S3) = Dic3×C22⋊C4φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.53(C4xS3)192,500
C23.54(C4×S3) = C24.55D6φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.54(C4xS3)192,501
C23.55(C4×S3) = C24.56D6φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.55(C4xS3)192,502
C23.56(C4×S3) = C24.59D6φ: C4×S3/D6C2 ⊆ Aut C2348C2^3.56(C4xS3)192,514
C23.57(C4×S3) = Dic3×M4(2)φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.57(C4xS3)192,676
C23.58(C4×S3) = Dic34M4(2)φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.58(C4xS3)192,677
C23.59(C4×S3) = D66M4(2)φ: C4×S3/D6C2 ⊆ Aut C2348C2^3.59(C4xS3)192,685
C23.60(C4×S3) = C2×C12.46D4φ: C4×S3/D6C2 ⊆ Aut C2348C2^3.60(C4xS3)192,689
C23.61(C4×S3) = C2×C12.47D4φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.61(C4xS3)192,695
C23.62(C4×S3) = C2×C23.16D6φ: C4×S3/D6C2 ⊆ Aut C2396C2^3.62(C4xS3)192,1039
C23.63(C4×S3) = C2×S3×M4(2)φ: C4×S3/D6C2 ⊆ Aut C2348C2^3.63(C4xS3)192,1302
C23.64(C4×S3) = (C2×C24)⋊5C4central extension (φ=1)192C2^3.64(C4xS3)192,109
C23.65(C4×S3) = Dic3×C2×C8central extension (φ=1)192C2^3.65(C4xS3)192,657
C23.66(C4×S3) = C2×Dic3⋊C8central extension (φ=1)192C2^3.66(C4xS3)192,658
C23.67(C4×S3) = C2×C24⋊C4central extension (φ=1)192C2^3.67(C4xS3)192,659
C23.68(C4×S3) = C2×D6⋊C8central extension (φ=1)96C2^3.68(C4xS3)192,667
C23.69(C4×S3) = C2×C6.C42central extension (φ=1)192C2^3.69(C4xS3)192,767
C23.70(C4×S3) = S3×C22×C8central extension (φ=1)96C2^3.70(C4xS3)192,1295
C23.71(C4×S3) = C22×C8⋊S3central extension (φ=1)96C2^3.71(C4xS3)192,1296
C23.72(C4×S3) = Dic3×C22×C4central extension (φ=1)192C2^3.72(C4xS3)192,1341
C23.73(C4×S3) = C22×Dic3⋊C4central extension (φ=1)192C2^3.73(C4xS3)192,1342
C23.74(C4×S3) = C22×D6⋊C4central extension (φ=1)96C2^3.74(C4xS3)192,1346

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