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Extensions 1→N→G→Q→1 with N=C23 and Q=C2×C12

Direct product G=N×Q with N=C23 and Q=C2×C12
dρLabelID
C24×C12192C2^4xC12192,1530

Semidirect products G=N:Q with N=C23 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C23⋊1(C2×C12) = C6×C23⋊C4φ: C2×C12/C6 → C4 ⊆ Aut C2348C2^3:1(C2xC12)192,842
C23⋊2(C2×C12) = C3×C23.23D4φ: C2×C12/C6 → C22 ⊆ Aut C2396C2^3:2(C2xC12)192,819
C23⋊3(C2×C12) = C3×C22.11C24φ: C2×C12/C6 → C22 ⊆ Aut C2348C2^3:3(C2xC12)192,1407
C23⋊4(C2×C12) = A4×C22×C4φ: C2×C12/C2×C4 → C3 ⊆ Aut C2348C2^3:4(C2xC12)192,1496
C23⋊5(C2×C12) = D4×C2×C12φ: C2×C12/C12 → C2 ⊆ Aut C2396C2^3:5(C2xC12)192,1404
C23⋊6(C2×C12) = C2×C6×C22⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3:6(C2xC12)192,1401

Non-split extensions G=N.Q with N=C23 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C23.1(C2×C12) = C3×C2≀C4φ: C2×C12/C6 → C4 ⊆ Aut C23244C2^3.1(C2xC12)192,157
C23.2(C2×C12) = C3×C23.D4φ: C2×C12/C6 → C4 ⊆ Aut C23484C2^3.2(C2xC12)192,158
C23.3(C2×C12) = C3×C23.C23φ: C2×C12/C6 → C4 ⊆ Aut C23484C2^3.3(C2xC12)192,843
C23.4(C2×C12) = C6×C4.D4φ: C2×C12/C6 → C4 ⊆ Aut C2348C2^3.4(C2xC12)192,844
C23.5(C2×C12) = C3×M4(2).8C22φ: C2×C12/C6 → C4 ⊆ Aut C23484C2^3.5(C2xC12)192,846
C23.6(C2×C12) = C3×C23.9D4φ: C2×C12/C6 → C22 ⊆ Aut C2348C2^3.6(C2xC12)192,148
C23.7(C2×C12) = C3×M4(2)⋊4C4φ: C2×C12/C6 → C22 ⊆ Aut C23484C2^3.7(C2xC12)192,150
C23.8(C2×C12) = C3×C24.C22φ: C2×C12/C6 → C22 ⊆ Aut C2396C2^3.8(C2xC12)192,821
C23.9(C2×C12) = C3×C24.3C22φ: C2×C12/C6 → C22 ⊆ Aut C2396C2^3.9(C2xC12)192,823
C23.10(C2×C12) = C3×(C22×C8)⋊C2φ: C2×C12/C6 → C22 ⊆ Aut C2396C2^3.10(C2xC12)192,841
C23.11(C2×C12) = C3×C42.7C22φ: C2×C12/C6 → C22 ⊆ Aut C2396C2^3.11(C2xC12)192,866
C23.12(C2×C12) = C3×C8⋊6D4φ: C2×C12/C6 → C22 ⊆ Aut C2396C2^3.12(C2xC12)192,869
C23.13(C2×C12) = C3×Q8○M4(2)φ: C2×C12/C6 → C22 ⊆ Aut C23484C2^3.13(C2xC12)192,1457
C23.14(C2×C12) = A4×C42φ: C2×C12/C2×C4 → C3 ⊆ Aut C2348C2^3.14(C2xC12)192,993
C23.15(C2×C12) = A4×C22⋊C4φ: C2×C12/C2×C4 → C3 ⊆ Aut C2324C2^3.15(C2xC12)192,994
C23.16(C2×C12) = A4×C4⋊C4φ: C2×C12/C2×C4 → C3 ⊆ Aut C2348C2^3.16(C2xC12)192,995
C23.17(C2×C12) = A4×C2×C8φ: C2×C12/C2×C4 → C3 ⊆ Aut C2348C2^3.17(C2xC12)192,1010
C23.18(C2×C12) = A4×M4(2)φ: C2×C12/C2×C4 → C3 ⊆ Aut C23246C2^3.18(C2xC12)192,1011
C23.19(C2×C12) = C12×C22⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C2396C2^3.19(C2xC12)192,810
C23.20(C2×C12) = C3×C23.8Q8φ: C2×C12/C12 → C2 ⊆ Aut C2396C2^3.20(C2xC12)192,818
C23.21(C2×C12) = C3×C8○2M4(2)φ: C2×C12/C12 → C2 ⊆ Aut C2396C2^3.21(C2xC12)192,838
C23.22(C2×C12) = C3×C42.6C22φ: C2×C12/C12 → C2 ⊆ Aut C2396C2^3.22(C2xC12)192,857
C23.23(C2×C12) = D4×C24φ: C2×C12/C12 → C2 ⊆ Aut C2396C2^3.23(C2xC12)192,867
C23.24(C2×C12) = C3×C8⋊9D4φ: C2×C12/C12 → C2 ⊆ Aut C2396C2^3.24(C2xC12)192,868
C23.25(C2×C12) = C6×C8○D4φ: C2×C12/C12 → C2 ⊆ Aut C2396C2^3.25(C2xC12)192,1456
C23.26(C2×C12) = C3×C23⋊C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2348C2^3.26(C2xC12)192,129
C23.27(C2×C12) = C3×C22.M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.27(C2xC12)192,130
C23.28(C2×C12) = C3×C22.C42φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.28(C2xC12)192,149
C23.29(C2×C12) = C3×C24⋊3C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2348C2^3.29(C2xC12)192,812
C23.30(C2×C12) = C3×C23.7Q8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.30(C2xC12)192,813
C23.31(C2×C12) = C3×C23.34D4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.31(C2xC12)192,814
C23.32(C2×C12) = C12×M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.32(C2xC12)192,837
C23.33(C2×C12) = C6×C22⋊C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.33(C2xC12)192,839
C23.34(C2×C12) = C3×C24.4C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2348C2^3.34(C2xC12)192,840
C23.35(C2×C12) = C6×C4.10D4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.35(C2xC12)192,845
C23.36(C2×C12) = C3×C4⋊M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.36(C2xC12)192,856
C23.37(C2×C12) = C3×C42.12C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.37(C2xC12)192,864
C23.38(C2×C12) = C3×C42.6C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.38(C2xC12)192,865
C23.39(C2×C12) = C6×C42⋊C2φ: C2×C12/C2×C6 → C2 ⊆ Aut C2396C2^3.39(C2xC12)192,1403
C23.40(C2×C12) = C3×C22.7C42central extension (φ=1)192C2^3.40(C2xC12)192,142
C23.41(C2×C12) = C6×C2.C42central extension (φ=1)192C2^3.41(C2xC12)192,808
C23.42(C2×C12) = C6×C8⋊C4central extension (φ=1)192C2^3.42(C2xC12)192,836
C23.43(C2×C12) = C6×C4⋊C8central extension (φ=1)192C2^3.43(C2xC12)192,855
C23.44(C2×C12) = C2×C6×C4⋊C4central extension (φ=1)192C2^3.44(C2xC12)192,1402
C23.45(C2×C12) = C2×C6×M4(2)central extension (φ=1)96C2^3.45(C2xC12)192,1455

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