# Extensions 1→N→G→Q→1 with N=C22 and Q=C3×C4○D4

Direct product G=N×Q with N=C22 and Q=C3×C4○D4
dρLabelID
C2×C6×C4○D496C2xC6xC4oD4192,1533

Semidirect products G=N:Q with N=C22 and Q=C3×C4○D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C3×C4○D4) = A4×C4○D4φ: C3×C4○D4/C4○D4C3 ⊆ Aut C22246C2^2:(C3xC4oD4)192,1501
C222(C3×C4○D4) = C3×C22.19C24φ: C3×C4○D4/C2×C12C2 ⊆ Aut C2248C2^2:2(C3xC4oD4)192,1414
C223(C3×C4○D4) = C3×D45D4φ: C3×C4○D4/C3×D4C2 ⊆ Aut C2248C2^2:3(C3xC4oD4)192,1435
C224(C3×C4○D4) = C3×Q85D4φ: C3×C4○D4/C3×Q8C2 ⊆ Aut C2296C2^2:4(C3xC4oD4)192,1437

Non-split extensions G=N.Q with N=C22 and Q=C3×C4○D4
extensionφ:Q→Aut NdρLabelID
C22.1(C3×C4○D4) = C3×C8○D8φ: C3×C4○D4/C2×C12C2 ⊆ Aut C22482C2^2.1(C3xC4oD4)192,876
C22.2(C3×C4○D4) = C3×C8.26D4φ: C3×C4○D4/C2×C12C2 ⊆ Aut C22484C2^2.2(C3xC4oD4)192,877
C22.3(C3×C4○D4) = C3×C23.36C23φ: C3×C4○D4/C2×C12C2 ⊆ Aut C2296C2^2.3(C3xC4oD4)192,1418
C22.4(C3×C4○D4) = C3×C22.32C24φ: C3×C4○D4/C2×C12C2 ⊆ Aut C2248C2^2.4(C3xC4oD4)192,1427
C22.5(C3×C4○D4) = C3×C22.33C24φ: C3×C4○D4/C2×C12C2 ⊆ Aut C2296C2^2.5(C3xC4oD4)192,1428
C22.6(C3×C4○D4) = C3×D4.3D4φ: C3×C4○D4/C3×D4C2 ⊆ Aut C22484C2^2.6(C3xC4oD4)192,904
C22.7(C3×C4○D4) = C3×D4.4D4φ: C3×C4○D4/C3×D4C2 ⊆ Aut C22484C2^2.7(C3xC4oD4)192,905
C22.8(C3×C4○D4) = C3×D4.5D4φ: C3×C4○D4/C3×D4C2 ⊆ Aut C22964C2^2.8(C3xC4oD4)192,906
C22.9(C3×C4○D4) = C3×C22.45C24φ: C3×C4○D4/C3×D4C2 ⊆ Aut C2248C2^2.9(C3xC4oD4)192,1440
C22.10(C3×C4○D4) = C3×C22.46C24φ: C3×C4○D4/C3×D4C2 ⊆ Aut C2296C2^2.10(C3xC4oD4)192,1441
C22.11(C3×C4○D4) = C3×C22.47C24φ: C3×C4○D4/C3×Q8C2 ⊆ Aut C2296C2^2.11(C3xC4oD4)192,1442
C22.12(C3×C4○D4) = C3×C424C4central extension (φ=1)192C2^2.12(C3xC4oD4)192,809
C22.13(C3×C4○D4) = C12×C22⋊C4central extension (φ=1)96C2^2.13(C3xC4oD4)192,810
C22.14(C3×C4○D4) = C12×C4⋊C4central extension (φ=1)192C2^2.14(C3xC4oD4)192,811
C22.15(C3×C4○D4) = C3×C23.7Q8central extension (φ=1)96C2^2.15(C3xC4oD4)192,813
C22.16(C3×C4○D4) = C3×C23.34D4central extension (φ=1)96C2^2.16(C3xC4oD4)192,814
C22.17(C3×C4○D4) = C3×C428C4central extension (φ=1)192C2^2.17(C3xC4oD4)192,815
C22.18(C3×C4○D4) = C3×C425C4central extension (φ=1)192C2^2.18(C3xC4oD4)192,816
C22.19(C3×C4○D4) = C3×C23.8Q8central extension (φ=1)96C2^2.19(C3xC4oD4)192,818
C22.20(C3×C4○D4) = C3×C23.23D4central extension (φ=1)96C2^2.20(C3xC4oD4)192,819
C22.21(C3×C4○D4) = C3×C23.63C23central extension (φ=1)192C2^2.21(C3xC4oD4)192,820
C22.22(C3×C4○D4) = C3×C24.C22central extension (φ=1)96C2^2.22(C3xC4oD4)192,821
C22.23(C3×C4○D4) = C3×C23.65C23central extension (φ=1)192C2^2.23(C3xC4oD4)192,822
C22.24(C3×C4○D4) = C3×C24.3C22central extension (φ=1)96C2^2.24(C3xC4oD4)192,823
C22.25(C3×C4○D4) = C3×C23.67C23central extension (φ=1)192C2^2.25(C3xC4oD4)192,824
C22.26(C3×C4○D4) = C6×C42⋊C2central extension (φ=1)96C2^2.26(C3xC4oD4)192,1403
C22.27(C3×C4○D4) = D4×C2×C12central extension (φ=1)96C2^2.27(C3xC4oD4)192,1404
C22.28(C3×C4○D4) = Q8×C2×C12central extension (φ=1)192C2^2.28(C3xC4oD4)192,1405
C22.29(C3×C4○D4) = C6×C4⋊D4central extension (φ=1)96C2^2.29(C3xC4oD4)192,1411
C22.30(C3×C4○D4) = C6×C22⋊Q8central extension (φ=1)96C2^2.30(C3xC4oD4)192,1412
C22.31(C3×C4○D4) = C6×C22.D4central extension (φ=1)96C2^2.31(C3xC4oD4)192,1413
C22.32(C3×C4○D4) = C6×C4.4D4central extension (φ=1)96C2^2.32(C3xC4oD4)192,1415
C22.33(C3×C4○D4) = C6×C42.C2central extension (φ=1)192C2^2.33(C3xC4oD4)192,1416
C22.34(C3×C4○D4) = C6×C422C2central extension (φ=1)96C2^2.34(C3xC4oD4)192,1417
C22.35(C3×C4○D4) = C3×C232D4central stem extension (φ=1)96C2^2.35(C3xC4oD4)192,825
C22.36(C3×C4○D4) = C3×C23⋊Q8central stem extension (φ=1)96C2^2.36(C3xC4oD4)192,826
C22.37(C3×C4○D4) = C3×C23.10D4central stem extension (φ=1)96C2^2.37(C3xC4oD4)192,827
C22.38(C3×C4○D4) = C3×C23.78C23central stem extension (φ=1)192C2^2.38(C3xC4oD4)192,828
C22.39(C3×C4○D4) = C3×C23.Q8central stem extension (φ=1)96C2^2.39(C3xC4oD4)192,829
C22.40(C3×C4○D4) = C3×C23.11D4central stem extension (φ=1)96C2^2.40(C3xC4oD4)192,830
C22.41(C3×C4○D4) = C3×C23.81C23central stem extension (φ=1)192C2^2.41(C3xC4oD4)192,831
C22.42(C3×C4○D4) = C3×C23.4Q8central stem extension (φ=1)96C2^2.42(C3xC4oD4)192,832
C22.43(C3×C4○D4) = C3×C23.83C23central stem extension (φ=1)192C2^2.43(C3xC4oD4)192,833
C22.44(C3×C4○D4) = C3×C23.84C23central stem extension (φ=1)192C2^2.44(C3xC4oD4)192,834

׿
×
𝔽