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Extensions 1→N→G→Q→1 with N=C22 and Q=C22×C12

Direct product G=N×Q with N=C22 and Q=C22×C12
dρLabelID
C24×C12192C2^4xC12192,1530

Semidirect products G=N:Q with N=C22 and Q=C22×C12
extensionφ:Q→Aut NdρLabelID
C22⋊(C22×C12) = A4×C22×C4φ: C22×C12/C22×C4 → C3 ⊆ Aut C2248C2^2:(C2^2xC12)192,1496
C22⋊2(C22×C12) = D4×C2×C12φ: C22×C12/C2×C12 → C2 ⊆ Aut C2296C2^2:2(C2^2xC12)192,1404
C22⋊3(C22×C12) = C2×C6×C22⋊C4φ: C22×C12/C22×C6 → C2 ⊆ Aut C2296C2^2:3(C2^2xC12)192,1401

Non-split extensions G=N.Q with N=C22 and Q=C22×C12
extensionφ:Q→Aut NdρLabelID
C22.1(C22×C12) = C12×C4○D4φ: C22×C12/C2×C12 → C2 ⊆ Aut C2296C2^2.1(C2^2xC12)192,1406
C22.2(C22×C12) = C3×C22.11C24φ: C22×C12/C2×C12 → C2 ⊆ Aut C2248C2^2.2(C2^2xC12)192,1407
C22.3(C22×C12) = C3×C23.33C23φ: C22×C12/C2×C12 → C2 ⊆ Aut C2296C2^2.3(C2^2xC12)192,1409
C22.4(C22×C12) = C6×C8○D4φ: C22×C12/C2×C12 → C2 ⊆ Aut C2296C2^2.4(C2^2xC12)192,1456
C22.5(C22×C12) = C3×Q8○M4(2)φ: C22×C12/C2×C12 → C2 ⊆ Aut C22484C2^2.5(C2^2xC12)192,1457
C22.6(C22×C12) = C6×C23⋊C4φ: C22×C12/C22×C6 → C2 ⊆ Aut C2248C2^2.6(C2^2xC12)192,842
C22.7(C22×C12) = C3×C23.C23φ: C22×C12/C22×C6 → C2 ⊆ Aut C22484C2^2.7(C2^2xC12)192,843
C22.8(C22×C12) = C6×C4.D4φ: C22×C12/C22×C6 → C2 ⊆ Aut C2248C2^2.8(C2^2xC12)192,844
C22.9(C22×C12) = C6×C4.10D4φ: C22×C12/C22×C6 → C2 ⊆ Aut C2296C2^2.9(C2^2xC12)192,845
C22.10(C22×C12) = C3×M4(2).8C22φ: C22×C12/C22×C6 → C2 ⊆ Aut C22484C2^2.10(C2^2xC12)192,846
C22.11(C22×C12) = C3×C23.32C23φ: C22×C12/C22×C6 → C2 ⊆ Aut C2296C2^2.11(C2^2xC12)192,1408
C22.12(C22×C12) = C6×C2.C42central extension (φ=1)192C2^2.12(C2^2xC12)192,808
C22.13(C22×C12) = C3×C42⋊4C4central extension (φ=1)192C2^2.13(C2^2xC12)192,809
C22.14(C22×C12) = C12×C22⋊C4central extension (φ=1)96C2^2.14(C2^2xC12)192,810
C22.15(C22×C12) = C12×C4⋊C4central extension (φ=1)192C2^2.15(C2^2xC12)192,811
C22.16(C22×C12) = C6×C8⋊C4central extension (φ=1)192C2^2.16(C2^2xC12)192,836
C22.17(C22×C12) = C12×M4(2)central extension (φ=1)96C2^2.17(C2^2xC12)192,837
C22.18(C22×C12) = C3×C8○2M4(2)central extension (φ=1)96C2^2.18(C2^2xC12)192,838
C22.19(C22×C12) = C6×C22⋊C8central extension (φ=1)96C2^2.19(C2^2xC12)192,839
C22.20(C22×C12) = C6×C4⋊C8central extension (φ=1)192C2^2.20(C2^2xC12)192,855
C22.21(C22×C12) = C3×C42.12C4central extension (φ=1)96C2^2.21(C2^2xC12)192,864
C22.22(C22×C12) = D4×C24central extension (φ=1)96C2^2.22(C2^2xC12)192,867
C22.23(C22×C12) = Q8×C24central extension (φ=1)192C2^2.23(C2^2xC12)192,878
C22.24(C22×C12) = C2×C6×C4⋊C4central extension (φ=1)192C2^2.24(C2^2xC12)192,1402
C22.25(C22×C12) = C6×C42⋊C2central extension (φ=1)96C2^2.25(C2^2xC12)192,1403
C22.26(C22×C12) = Q8×C2×C12central extension (φ=1)192C2^2.26(C2^2xC12)192,1405
C22.27(C22×C12) = C2×C6×M4(2)central extension (φ=1)96C2^2.27(C2^2xC12)192,1455
C22.28(C22×C12) = C3×C24⋊3C4central stem extension (φ=1)48C2^2.28(C2^2xC12)192,812
C22.29(C22×C12) = C3×C23.7Q8central stem extension (φ=1)96C2^2.29(C2^2xC12)192,813
C22.30(C22×C12) = C3×C23.34D4central stem extension (φ=1)96C2^2.30(C2^2xC12)192,814
C22.31(C22×C12) = C3×C42⋊8C4central stem extension (φ=1)192C2^2.31(C2^2xC12)192,815
C22.32(C22×C12) = C3×C42⋊5C4central stem extension (φ=1)192C2^2.32(C2^2xC12)192,816
C22.33(C22×C12) = C3×C42⋊9C4central stem extension (φ=1)192C2^2.33(C2^2xC12)192,817
C22.34(C22×C12) = C3×C23.8Q8central stem extension (φ=1)96C2^2.34(C2^2xC12)192,818
C22.35(C22×C12) = C3×C23.23D4central stem extension (φ=1)96C2^2.35(C2^2xC12)192,819
C22.36(C22×C12) = C3×C23.63C23central stem extension (φ=1)192C2^2.36(C2^2xC12)192,820
C22.37(C22×C12) = C3×C24.C22central stem extension (φ=1)96C2^2.37(C2^2xC12)192,821
C22.38(C22×C12) = C3×C23.65C23central stem extension (φ=1)192C2^2.38(C2^2xC12)192,822
C22.39(C22×C12) = C3×C24.3C22central stem extension (φ=1)96C2^2.39(C2^2xC12)192,823
C22.40(C22×C12) = C3×C23.67C23central stem extension (φ=1)192C2^2.40(C2^2xC12)192,824
C22.41(C22×C12) = C3×C24.4C4central stem extension (φ=1)48C2^2.41(C2^2xC12)192,840
C22.42(C22×C12) = C3×(C22×C8)⋊C2central stem extension (φ=1)96C2^2.42(C2^2xC12)192,841
C22.43(C22×C12) = C3×C4⋊M4(2)central stem extension (φ=1)96C2^2.43(C2^2xC12)192,856
C22.44(C22×C12) = C3×C42.6C22central stem extension (φ=1)96C2^2.44(C2^2xC12)192,857
C22.45(C22×C12) = C3×C42.6C4central stem extension (φ=1)96C2^2.45(C2^2xC12)192,865
C22.46(C22×C12) = C3×C42.7C22central stem extension (φ=1)96C2^2.46(C2^2xC12)192,866
C22.47(C22×C12) = C3×C8⋊9D4central stem extension (φ=1)96C2^2.47(C2^2xC12)192,868
C22.48(C22×C12) = C3×C8⋊6D4central stem extension (φ=1)96C2^2.48(C2^2xC12)192,869
C22.49(C22×C12) = C3×C8⋊4Q8central stem extension (φ=1)192C2^2.49(C2^2xC12)192,879

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