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Extensions 1→N→G→Q→1 with N=C23 and Q=C3×D4

Direct product G=N×Q with N=C23 and Q=C3×D4
dρLabelID
D4×C22×C696D4xC2^2xC6192,1531

Semidirect products G=N:Q with N=C23 and Q=C3×D4
extensionφ:Q→Aut NdρLabelID
C23⋊(C3×D4) = C3×C2≀C22φ: C3×D4/C3 → D4 ⊆ Aut C23244C2^3:(C3xD4)192,890
C23⋊2(C3×D4) = C3×C23⋊2D4φ: C3×D4/C6 → C22 ⊆ Aut C2396C2^3:2(C3xD4)192,825
C23⋊3(C3×D4) = C3×C23⋊3D4φ: C3×D4/C6 → C22 ⊆ Aut C2348C2^3:3(C3xD4)192,1423
C23⋊4(C3×D4) = C2×D4×A4φ: C3×D4/D4 → C3 ⊆ Aut C2324C2^3:4(C3xD4)192,1497
C23⋊5(C3×D4) = C6×C4⋊D4φ: C3×D4/C12 → C2 ⊆ Aut C2396C2^3:5(C3xD4)192,1411
C23⋊6(C3×D4) = C6×C22≀C2φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3:6(C3xD4)192,1410

Non-split extensions G=N.Q with N=C23 and Q=C3×D4
extensionφ:Q→Aut NdρLabelID
C23.1(C3×D4) = C3×C2≀C4φ: C3×D4/C3 → D4 ⊆ Aut C23244C2^3.1(C3xD4)192,157
C23.2(C3×D4) = C3×C23.D4φ: C3×D4/C3 → D4 ⊆ Aut C23484C2^3.2(C3xD4)192,158
C23.3(C3×D4) = C3×C42⋊C4φ: C3×D4/C3 → D4 ⊆ Aut C23244C2^3.3(C3xD4)192,159
C23.4(C3×D4) = C3×C42⋊3C4φ: C3×D4/C3 → D4 ⊆ Aut C23484C2^3.4(C3xD4)192,160
C23.5(C3×D4) = C3×D4⋊4D4φ: C3×D4/C3 → D4 ⊆ Aut C23244C2^3.5(C3xD4)192,886
C23.6(C3×D4) = C3×D4.9D4φ: C3×D4/C3 → D4 ⊆ Aut C23484C2^3.6(C3xD4)192,888
C23.7(C3×D4) = C3×C23.7D4φ: C3×D4/C3 → D4 ⊆ Aut C23484C2^3.7(C3xD4)192,891
C23.8(C3×D4) = C3×C4.9C42φ: C3×D4/C6 → C22 ⊆ Aut C23484C2^3.8(C3xD4)192,143
C23.9(C3×D4) = C3×C23.10D4φ: C3×D4/C6 → C22 ⊆ Aut C2396C2^3.9(C3xD4)192,827
C23.10(C3×D4) = C3×C23.11D4φ: C3×D4/C6 → C22 ⊆ Aut C2396C2^3.10(C3xD4)192,830
C23.11(C3×D4) = C6×C23⋊C4φ: C3×D4/C6 → C22 ⊆ Aut C2348C2^3.11(C3xD4)192,842
C23.12(C3×D4) = C3×C42⋊C22φ: C3×D4/C6 → C22 ⊆ Aut C23484C2^3.12(C3xD4)192,854
C23.13(C3×D4) = C3×D4⋊D4φ: C3×D4/C6 → C22 ⊆ Aut C2396C2^3.13(C3xD4)192,882
C23.14(C3×D4) = C3×D4.7D4φ: C3×D4/C6 → C22 ⊆ Aut C2396C2^3.14(C3xD4)192,885
C23.15(C3×D4) = C3×C8⋊D4φ: C3×D4/C6 → C22 ⊆ Aut C2396C2^3.15(C3xD4)192,901
C23.16(C3×D4) = C3×C8⋊2D4φ: C3×D4/C6 → C22 ⊆ Aut C2396C2^3.16(C3xD4)192,902
C23.17(C3×D4) = C3×C8.D4φ: C3×D4/C6 → C22 ⊆ Aut C2396C2^3.17(C3xD4)192,903
C23.18(C3×D4) = C3×C23.19D4φ: C3×D4/C6 → C22 ⊆ Aut C2396C2^3.18(C3xD4)192,915
C23.19(C3×D4) = C3×C23.20D4φ: C3×D4/C6 → C22 ⊆ Aut C2396C2^3.19(C3xD4)192,918
C23.20(C3×D4) = C3×D8⋊C22φ: C3×D4/C6 → C22 ⊆ Aut C23484C2^3.20(C3xD4)192,1464
C23.21(C3×D4) = A4×C22⋊C4φ: C3×D4/D4 → C3 ⊆ Aut C2324C2^3.21(C3xD4)192,994
C23.22(C3×D4) = A4×C4⋊C4φ: C3×D4/D4 → C3 ⊆ Aut C2348C2^3.22(C3xD4)192,995
C23.23(C3×D4) = A4×D8φ: C3×D4/D4 → C3 ⊆ Aut C23246+C2^3.23(C3xD4)192,1014
C23.24(C3×D4) = A4×SD16φ: C3×D4/D4 → C3 ⊆ Aut C23246C2^3.24(C3xD4)192,1015
C23.25(C3×D4) = A4×Q16φ: C3×D4/D4 → C3 ⊆ Aut C23486-C2^3.25(C3xD4)192,1016
C23.26(C3×D4) = C3×C23.7Q8φ: C3×D4/C12 → C2 ⊆ Aut C2396C2^3.26(C3xD4)192,813
C23.27(C3×D4) = C3×C23.23D4φ: C3×D4/C12 → C2 ⊆ Aut C2396C2^3.27(C3xD4)192,819
C23.28(C3×D4) = C3×C23.24D4φ: C3×D4/C12 → C2 ⊆ Aut C2396C2^3.28(C3xD4)192,849
C23.29(C3×D4) = C3×C23.25D4φ: C3×D4/C12 → C2 ⊆ Aut C2396C2^3.29(C3xD4)192,860
C23.30(C3×D4) = C3×C8⋊8D4φ: C3×D4/C12 → C2 ⊆ Aut C2396C2^3.30(C3xD4)192,898
C23.31(C3×D4) = C3×C8⋊7D4φ: C3×D4/C12 → C2 ⊆ Aut C2396C2^3.31(C3xD4)192,899
C23.32(C3×D4) = C3×C8.18D4φ: C3×D4/C12 → C2 ⊆ Aut C2396C2^3.32(C3xD4)192,900
C23.33(C3×D4) = C6×C4○D8φ: C3×D4/C12 → C2 ⊆ Aut C2396C2^3.33(C3xD4)192,1461
C23.34(C3×D4) = C3×C22.SD16φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3.34(C3xD4)192,133
C23.35(C3×D4) = C3×C23.31D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3.35(C3xD4)192,134
C23.36(C3×D4) = C3×C42⋊6C4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3.36(C3xD4)192,145
C23.37(C3×D4) = C3×C23.9D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3.37(C3xD4)192,148
C23.38(C3×D4) = C3×C24⋊3C4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3.38(C3xD4)192,812
C23.39(C3×D4) = C3×C23.34D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.39(C3xD4)192,814
C23.40(C3×D4) = C3×C23.8Q8φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.40(C3xD4)192,818
C23.41(C3×D4) = C3×C23.36D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.41(C3xD4)192,850
C23.42(C3×D4) = C3×C23.37D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3.42(C3xD4)192,851
C23.43(C3×D4) = C3×C23.38D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.43(C3xD4)192,852
C23.44(C3×D4) = C6×C4≀C2φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3.44(C3xD4)192,853
C23.45(C3×D4) = C3×M4(2)⋊C4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.45(C3xD4)192,861
C23.46(C3×D4) = C3×C22⋊D8φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3.46(C3xD4)192,880
C23.47(C3×D4) = C3×Q8⋊D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.47(C3xD4)192,881
C23.48(C3×D4) = C3×C22⋊SD16φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3.48(C3xD4)192,883
C23.49(C3×D4) = C3×C22⋊Q16φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.49(C3xD4)192,884
C23.50(C3×D4) = C3×C22.D8φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.50(C3xD4)192,913
C23.51(C3×D4) = C3×C23.46D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.51(C3xD4)192,914
C23.52(C3×D4) = C3×C23.47D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.52(C3xD4)192,916
C23.53(C3×D4) = C3×C23.48D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.53(C3xD4)192,917
C23.54(C3×D4) = C6×C22.D4φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.54(C3xD4)192,1413
C23.55(C3×D4) = C6×C8⋊C22φ: C3×D4/C2×C6 → C2 ⊆ Aut C2348C2^3.55(C3xD4)192,1462
C23.56(C3×D4) = C6×C8.C22φ: C3×D4/C2×C6 → C2 ⊆ Aut C2396C2^3.56(C3xD4)192,1463
C23.57(C3×D4) = C3×C22.4Q16central extension (φ=1)192C2^3.57(C3xD4)192,146
C23.58(C3×D4) = C6×C2.C42central extension (φ=1)192C2^3.58(C3xD4)192,808
C23.59(C3×D4) = C6×D4⋊C4central extension (φ=1)96C2^3.59(C3xD4)192,847
C23.60(C3×D4) = C6×Q8⋊C4central extension (φ=1)192C2^3.60(C3xD4)192,848
C23.61(C3×D4) = C6×C4.Q8central extension (φ=1)192C2^3.61(C3xD4)192,858
C23.62(C3×D4) = C6×C2.D8central extension (φ=1)192C2^3.62(C3xD4)192,859
C23.63(C3×D4) = C2×C6×C22⋊C4central extension (φ=1)96C2^3.63(C3xD4)192,1401
C23.64(C3×D4) = C2×C6×C4⋊C4central extension (φ=1)192C2^3.64(C3xD4)192,1402
C23.65(C3×D4) = C2×C6×D8central extension (φ=1)96C2^3.65(C3xD4)192,1458
C23.66(C3×D4) = C2×C6×SD16central extension (φ=1)96C2^3.66(C3xD4)192,1459
C23.67(C3×D4) = C2×C6×Q16central extension (φ=1)192C2^3.67(C3xD4)192,1460

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