Extensions 1→N→G→Q→1 with N=C2 and Q=C12:7D4

Direct product G=NxQ with N=C2 and Q=C12:7D4
dρLabelID
C2xC12:7D496C2xC12:7D4192,1349


Non-split extensions G=N.Q with N=C2 and Q=C12:7D4
extensionφ:Q→Aut NdρLabelID
C2.1(C12:7D4) = C12:4(C4:C4)central extension (φ=1)192C2.1(C12:7D4)192,487
C2.2(C12:7D4) = (C2xC4):6D12central extension (φ=1)96C2.2(C12:7D4)192,498
C2.3(C12:7D4) = (C2xC42):3S3central extension (φ=1)96C2.3(C12:7D4)192,499
C2.4(C12:7D4) = C24.75D6central extension (φ=1)96C2.4(C12:7D4)192,771
C2.5(C12:7D4) = C24.76D6central extension (φ=1)96C2.5(C12:7D4)192,772
C2.6(C12:7D4) = C24.21D6central stem extension (φ=1)96C2.6(C12:7D4)192,512
C2.7(C12:7D4) = C23:3D12central stem extension (φ=1)96C2.7(C12:7D4)192,519
C2.8(C12:7D4) = C24.27D6central stem extension (φ=1)96C2.8(C12:7D4)192,520
C2.9(C12:7D4) = (C2xC4).44D12central stem extension (φ=1)192C2.9(C12:7D4)192,540
C2.10(C12:7D4) = (C2xC4):3D12central stem extension (φ=1)96C2.10(C12:7D4)192,550
C2.11(C12:7D4) = (C2xC12).56D4central stem extension (φ=1)96C2.11(C12:7D4)192,553
C2.12(C12:7D4) = C12:7D8central stem extension (φ=1)96C2.12(C12:7D4)192,574
C2.13(C12:7D4) = D4.1D12central stem extension (φ=1)96C2.13(C12:7D4)192,575
C2.14(C12:7D4) = D4.2D12central stem extension (φ=1)96C2.14(C12:7D4)192,578
C2.15(C12:7D4) = Q8:2D12central stem extension (φ=1)96C2.15(C12:7D4)192,586
C2.16(C12:7D4) = Q8.6D12central stem extension (φ=1)96C2.16(C12:7D4)192,587
C2.17(C12:7D4) = C12:7Q16central stem extension (φ=1)192C2.17(C12:7D4)192,590
C2.18(C12:7D4) = C24:30D4central stem extension (φ=1)96C2.18(C12:7D4)192,673
C2.19(C12:7D4) = C24:29D4central stem extension (φ=1)96C2.19(C12:7D4)192,674
C2.20(C12:7D4) = C24.82D4central stem extension (φ=1)96C2.20(C12:7D4)192,675
C2.21(C12:7D4) = C24:2D4central stem extension (φ=1)96C2.21(C12:7D4)192,693
C2.22(C12:7D4) = C24:3D4central stem extension (φ=1)96C2.22(C12:7D4)192,694
C2.23(C12:7D4) = C24.4D4central stem extension (φ=1)96C2.23(C12:7D4)192,696
C2.24(C12:7D4) = Q8.8D12central stem extension (φ=1)484C2.24(C12:7D4)192,700
C2.25(C12:7D4) = Q8.9D12central stem extension (φ=1)484+C2.25(C12:7D4)192,701
C2.26(C12:7D4) = Q8.10D12central stem extension (φ=1)964-C2.26(C12:7D4)192,702

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